Question is below! Please answer will mark brainliest!

Question Is Below! Please Answer Will Mark Brainliest!

Answers

Answer 1

Answer:

315 children attend the play.

Answer 2

Answer:

c=315

Step-by-step explanation:

we know c is equal to 21a so we can insert it into the second equation

a+21a=330

22a=330

/22. /22

a=15

now we inset a to find c

21(15)=c

315=c

Hopes this helps please mark brainliest


Related Questions

an integer from the range 00000 - 99999 is generated uniformly at random. we are interested only in even integers that start with 2 odd digits where all digits are unique. if we randomly generate 8 of these numbers in succession, what is the probability we get exactly 5 numbers that meet our criteria?

Answers

Randomly generating 8 of these numbers in succession, the probability we get exactly 5 numbers that meet our criteria is 0.13875.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible even integers that start with 2 odd digits is 13875.

= (5 x 5 x 5) + (5 x 5 x 10 x 5) + (5 x 5 x 10 x 10 x 5)

= 125 + 1250 + 12500

= 13875

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 13875/100000

probability = 0.13875

Learn more about probability here: brainly.com/question/6649771

#SPJ4

a test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test. at what percentile (rounded off) would this client's score place her?

Answers

As per the concept of z - score, the percentile would this client's score is 0.4772

Z - score:

In statistics, z - score is also termed the standard score, is used to determine how much each data point position is away from its mean. Where as in other words, it measures the deviation of x (data point) in terms of the standard deviations. Here the percentage of the population above or below the score can be obtained using z tables.

Given,

A test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test.

Here we need to find at what percentile (rounded off) would this client's score place her.

As per the formula of z score, here we have the values,

mean = 100

standard deviation = 15

Score = 130

Therefore, the z score is calculated as,

=> z score = (130 - 100) / 15

=> z score = 30 / 15

=> z score = 2

According to the z score table the resulting value is 0.4772.

To know more about Z score here.

https://brainly.com/question/15016913

#SPJ4

7 the cost of a pen and a notebook used to be the same, but recently the cost of the pen was increased by $44, whereas, the cost of notebook became $66 less than 55 times its original value.after the revised cost, if the pen was more expensive than the notebook, what could have been the possible original value of both the products, if the initial price was a natural number?

Answers

x>2 might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

Given that,

Pens and notebooks used to cost the same, however recently the price of the pen went up by $4 while the price of the notebook went down by $6 from its previous value of $5.

We have to find what might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

We know that,

We get the equation as

x+4>5x-6

By solving the x

The inequality with x<2.5

So, natural number, n=2

x>2

Therefore, x>2 might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

To learn more about number visit: https://brainly.com/question/17429689

#SPJ4

a couple plans to have three children. all arrangements are (approximately) equally likely. let x be the number of girls the couple has. what the probability that x is greater than or equal to 2

Answers

The probability that the couple will have more than 2 girls is 1/2.

Here, we are given that a couple is planning to have 3 children.

Let us list down all the possible combination of outcomes-

GGG, GGB, GBB, BBB

Here G stands for a girl and B for a boy.

Thus, there are a total of 4 outcomes. We need to find the probability that the number of girls is greater than or equal to 2.

Out of the listed outcomes, 2 combinations- GGG and GGB have number of girls ≥ 2.

We know that probability = Number of favorable outcomes/ total number of outcomes

P(x ≥ 2) = 2/4

= 1/2

Thus, the probability that the couple will have more than 2 girls is 1/2.

Learn more about probability here-

https://brainly.com/question/25870256

#SPJ4

PLS HELP I'M VERY CONFUSED IT"S DUE 2DAY!!!! 100PTS!!!! NO SCAM ANSWERS!!!

In the following activity, match each pair of equivalent expressions.
(IT'S IN THE PICTURE)

Answers

The equivalent expressions of each number are respectively;

1) 2(x - 2) = -7 + 6x - 4x + 3

2) (x + 14) - (8 - 2x) = 9x - 2(3x - 3)

3) 3(x + 5) = -2x + 9 + 5x + 6

4) -4(x + 1) + 5x =  (7 - 2x) + (3x - 11)

5) (7 + 5x) + (4x - 1) = -3x + 6 + 4x

How to use algebraic properties?

The properties of algebra include associative property, distributive property, Identity property, Inverse property, e.t.c.

Now, let us simplify the terms on the right;

a) (7 - 2x) + (3x - 11)

Expanding the brackets gives us;

7 - 2x + 3x - 11

= x - 4

This can also be expressed as;

-4(x + 1) + 5x

b) -7 + 6x - 4x + 3

Simplifying gives;

2x - 4

= 2(x - 2)

c) 9x - 2(3x - 3)

Simplifying gives;

9x - 6x + 6

3x + 6

It can also be written as;

(x + 14) - (8 - 2x)

d) -3x + 6 + 4x

Simplifying gives;

x + 6

This can also be expressed as;

(7 + 5x) + (4x - 1)

e) -2x + 9 + 5x + 6

This can also be expressed as;

3x + 15

3(x + 5)

Read more about Algebraic Properties at; https://brainly.com/question/16253595

#SPJ1

Answer:

[tex]\boxed{4.} \quad (7-2x)+(3x-11)[/tex]

[tex]\boxed{1.} \quad -7+6x-4x+3[/tex]

[tex]\boxed{2.} \quad 9x-2(3x-3)[/tex]

[tex]\boxed{5.} \quad -3x+6+4x[/tex]

[tex]\boxed{3.} \quad -2x+9+5x+6[/tex]

Step-by-step explanation:

Simplify the given expressions numbered 1 through 5:

[tex]\begin{aligned}\textsf{1.} \quad 2(x-2)&=2 \cdot x + 2 \cdot (-2)\\&=2x-4\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{2.} \quad (x+14)-(8-2x)&=x+14-8+2x\\&=x+2x+14-8\\&=3x+6\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{3.} \quad 3(x+5)&=3 \cdot x + 3 \cdot 5\\&=3x+15\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{4.} \quad -4(x+1)+5x&=-4 \cdot x -4 \cdot 1+5x\\&=-4x-4+5x\\&=5x-4x-4\\&=x-4\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{5.} \quad (7+5x)+(-4x-1)&=7+5x-4x-1\\&=5x-4x+7-1\\&=x+6\end{aligned}[/tex]

Simplify the given answer expressions:

[tex]\begin{aligned}(7-2x)+(3x-11)&=7-2x+3x-11\\&=3x-2x+11-11\\&=x-4\end{aligned}[/tex]

[tex]\begin{aligned}-7+6x-4x+3&=6x-4x+3-7\\&=2x-4\end{aligned}[/tex]

[tex]\begin{aligned}9x-2(3x-3)&=9x-2 \cdot 3x-2 \cdot (-3)\\&=9x-6x+6\\&=3x+6\end{aligned}[/tex]

[tex]\begin{aligned}-3x+6+4x&=4x-3x+6\\&=x+6\end{aligned}[/tex]

[tex]\begin{aligned}-2x+9+5x+6&=5x-2x+9+6\\&=3x+15\end{aligned}[/tex]

Therefore, the matching pairs of equivalent expressions are:

[tex]\boxed{4.} \quad (7-2x)+(3x-11)[/tex]

[tex]\boxed{1.} \quad -7+6x-4x+3[/tex]

[tex]\boxed{2.} \quad 9x-2(3x-3)[/tex]

[tex]\boxed{5.} \quad -3x+6+4x[/tex]

[tex]\boxed{3.} \quad -2x+9+5x+6[/tex]

question in a statistics class with 32 students, how many ways can a group of 5 lucky students be selected to sit in the front of the classroom?

Answers

There are 201376 ways can a group of 5 lucky students be selected to sit in the front of the classroom.

What are combinations?

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.

Permutations and combinations are often mistaken. The chosen components' order is crucial in permutations, though. For instance, whereas permutations treat the arrangements differently, combinations treat the arrangements ab and ba equally (as one arrangement).

Use the combinations formula:

n = 32, r=5

[tex]^{n}C_{r}=\frac{n!}{(n-r)! r!}[/tex]

[tex]^{32}C_{5}=\frac{32!}{(32-5)! 5!}[/tex]

       = (32*31*30*29*28*27!)/(5!*27!)

       = (32*31*30*29*28)/ (5*4*3*2*1)

       = 201376

To learn more about the combinations  from the given link

https://brainly.com/question/26852614

#SPJ4

the probability that a marksman will hit a target each time he shoots is 0.89. if he fires 15 times, what is the probability that he hits the target at most 13 times?

Answers

The probability that the marksman hits the target at most 13 times is 11.57.

Define binomial probability.

The likelihood of precisely x successes on n further trials in an experiment with two possible outcomes is known as a binomial probability (commonly called a binomial experiment). A random variable's binomial probability is indicated by the notation X B(n, p) (where the prefix stands for "has distribution..."). The distribution's parameters are known as n and p.

The binomial probability is nCx⋅px⋅(1−p)n−x when the probability of success on a given trial is p. In this case, nCx denotes the number of various combinations of x objects chosen from a set of n objects.

Solution Explained:

Given,
P(HT) = 0.89

so if we multiply the chances of hitting he target with 13, we get

P(H13) = 0.89 X 13 = 11.57

To learn more about binomial probability, use the link given
https://brainly.com/question/27371958
#SPJ4

Which number did he add?

Answers

x= 7 and x=11 are two solutions of equation  x²+7x-11=0

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is x²+7x-11=0

x square plus seven times of x minus eleven

Add 11 on both sides

x²+7x=11

x(x+7)=11

x=11

and x+7=11

Now subtract 7 on both sides

x=7

Hence, x= 7 and x=11 are two solutions of equation  x²+7x-11=0.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Find the Slope please!!

Answers

Answer:

The slope is y=-2x.

If solving the equation for the line it is y=-2x-1

How many sides do 2 decagons and 5 hexagons have in all?

Answers

Answer: 50 sides

Step-by-step explanation:

a decagon has 10 sides and 2 decagons have 20 sides total

a hexagon has 6 sides and 5 hexagons have 30 total

20 + 30 = 50

Therefore the answer is 50 sides

help me please 123456789`10

Answers

Answer:

B is in the 1st quadrant

J is slightly in the 2nd quadrant

T is in the 3rd quadrant

P is in the 4th quadrant

Positions:

B.) 4, 3

J.) 0, 7

T.) -4, -4

P.) 4, -6

Tip:

When you are looking at an axis graph, picture a big "C" over it, the tip of the "C" is the 1st quadrant, as you go down the "C" it symbolizes each quadrant. When the point is only on one line or axis (depending on which axis), then it is, for example, (0, 3) or (3, 0).

Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.

Answers

The point that must be on the graph of y=f(2x+1)+3 is (-6, 0)

What is ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.

Given that, (-2,3) is on the graph of y=f(x), we need to find a point that must be graphed of y=f(2x+1)+3

3 = f(2X(-3)+1) + 3

0 = f(-6)

Hence, the point on the graph is (-6, 0)

For more references on ordered pair, click;

https://brainly.com/question/28874341

#SPJ1

Solve: 3 2/4 + 5 4/11 = ___

Answers

Answer: 195/22 or 8[tex]\frac{19}{22}[/tex]

Step-by-step explanation:

Given the equation V/7.9 equals 14.6, solve for v.

Answers

The required value of V for the given equation is 115.34

What is a simple equation?

A simple equation is a mathematical formula that, on both sides of the "equal to" sign, expresses the relationship between two expressions. It primarily consists of a variable, sometimes with a numerical constant in addition. There cannot be a simple equation without a variable. A known, fixed quantity that is used in a straightforward equation is referred to as a constant.

Given an expression, V/7.9 equals 14.6

or, V/7.9 = 14.6

or, V = 14.6*7.9

or, V = 115.34

Hence, the required value of V is 115.34

To learn more about a simple equation

https://brainly.com/question/13738662

#SPJ1

the sample space contains 5 as and 7 bs. what is the probability that a randomly selected set of 2 will in- clude 1 a and 1 b?

Answers

the probability that a randomly selected set of 2 will include 1 a and 1 b is 35/66

What is probability?

The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12

What are the 4 types of probability?

Classical

Empirical

Subjective.

Axiomatic

There are 66 equally likely outcomes, or C(5+7,2) =C(12,2)=66 possible outcomes. Only C(5,1)*C(7,1)=35 of these contain 1A and 1B. thus, the likelihood is 35/66.

The value of the solution is 35/66

To know more about probability click the following link:-

https://brainly.com/question/24756209

#SPJ4

need help on 11 and 12! or you can solve one instead of both if u want

Answers

Answer:

11. (-4, 5)

12. (0, 2)

Step-by-step explanation:

The solution from the graph is to determine the point of intersection of the two rays. And find the x and y values corresponding to that point.

In 11, the point of intersection is at x = -4, y =5

In 12, the point of intersection is at x = 0, y = 2

I am not clear on what they want you to do for checking the solution. You could mathematically solve for the set of equations.

I think what they mean is to check if your reading of the point coordinates from the graph is correct.
In which case just plug in the values of x and y into both equations in each problem and find if they are consistent

Let's take Problem 12 which has a solution of x = 0, y = 2

Plug in these values into each of the equations:

For 2x - y = -2, with x = 0, y = 2
2(0) - 2 = 0 - 2 = -2 so consistent

For 2x + 4y = 8
2(0) + 4(2) = 0 + 8 = 8

So both equations are consistent with the values read off the graph.

Use the same technique for the others

Hope that helps

in the past, 75% of the tourists who visited chattanooga went to see rock city. the management of rock city recently undertook an extensive promotional campaign. they are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting rock city. the correct set of hypotheses is

Answers

the alternative hypothesis will state that the proportion is not significantly different than 0.75.

This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.

The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).

Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.

On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.

learn more about of hypothesis here

https://brainly.com/question/17002720

#SPJ4

If a polynomial has one root in the form a-sqrt b it has a second root in the form of a sqrt b.

Answers

The second root is in the form [tex]a+\sqrt{b}[/tex].

Polynomial roots are the solutions to any given polynomial for which the value of the unknown variable must be determined. We can evaluate the value of polynomial to zero if we know the roots. A polynomial of degree 'n' in variable x is an expression of the form [tex]a^nx^n + a^{n-1}x^{n-1} +....+ a^1x^1 + a^0[/tex], where each variable has a constant accompanying it as its coefficient. The term refers to each variable in the expression that is separated by an addition or subtraction symbol. The degree of a polynomial is defined as the maximum power of a polynomial variable.

Given,

one root of polynomial is [tex]a-\sqrt{b}[/tex]

If a given root is complex, its conjugate is the other root. As a result, if a+ib is a root, a-ib is another a root.

If the root given is a surd of the form [tex]a+\sqrt{b}[/tex], then [tex]a-\sqrt{b}[/tex] is another root as well.

If the given root is rational, we can apply the product of the roots rule.

Thus, The polynomial's second root will be [tex]a+\sqrt{b}[/tex].

To learn more about polynomials refer here

https://brainly.com/question/29491359

#SPJ4

[tex]17x+1+15x+7[/tex]

Answers

Answer:

All the best

The answer is fully correct

50% of the tickets sold at a school carnival were early-admission tickets. If the school sold 64
tickets in all, how many early-admission tickets did it sell?

Answers

Answer: 32

Step-by-step explanation:

50% = x/2

50% of 64 = 64/2

50%=32

Answer:  The correct answer is 32 tickets were early admission

Step-by-step explanation:

T = Total tickets sold

E = Early admission tickets

If 50% of the total tickets are for early admission, then our equation would be:

E = T * 50% (or .5)

Substitute 64 for the total tickets

E = 64 * .5

E = 32

Find the volume v of the described solid s. The base of a solid s is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.

Answers

The volume of the solid S in the given question is 5.48unit³.

What is volume?

A three-dimensional space's occupied volume is measured.

It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units.

The definition of length and volume are connected.

So, the volume of the solid S:
An equilateral triangle's sides are shown as a cross-section.

An equilateral triangle's height is determined by:

[tex]h = sSin60 = \frac{\sqrt{3} }{2} s[/tex]

Consequently, one triangle's area is:

[tex]A=\frac{1}{2} s h=\frac{1}{2} s \cdot \frac{\sqrt{3}}{2} s=\frac{\sqrt{3}}{4} s^2[/tex]

The line equation that depicts the diagonal is:

[tex]\begin{aligned}& x+y=1 \\& y=-x+1 \\& x=-y+1\end{aligned}[/tex]

This will indicate the s value integrate from 0 to 2 if we integrate along the y-axis.

[tex]\begin{aligned}& V=\int_0^2 \frac{\sqrt{3}}{4} s^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2(-y+1)^2 d x \\& =\frac{\sqrt{3}}{4} \int_0^2\left(y^2-2 y+1\right) d x \\& =\frac{\sqrt{3}}{4}\left[\frac{1}{3} y^3-y^2+y\right] \\& \left.=\frac{\sqrt{3}}{4}\left[\frac{1}{3}(2)^3-(2)^2+2\right)\right] \\& =5.48\end{aligned}[/tex]

Therefore, the volume of the solid S in the given question is 5.48unit³.

Know more about volume here:

https://brainly.com/question/1972490

#SPJ4

Correct question:
Find the volume V of the described solid S. The base of S is the triangular region with vertices (0, 0), (2, 0), and (0, 2). Cross-sections perpendicular to the y-axis are equilateral triangles.

Calculate the unit rate for each option and determine which one is the BEST buy.

16 pounds for $31.68

28 pounds for $49.56

Answers

The best buy will be;

''28 pounds for $49.56''

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The two options are,

16 pounds for $31.68

28 pounds for $49.56

Now,

Since, The two options are,

16 pounds for $31.68

28 pounds for $49.56

Hence, The unit rate for each are;

Since, The cost of 16 pounds = $31.68

Hence, The cost of 1 pounds = $31.68/16

                                            = $1.98

And, The cost of 28 pounds = $49.56

Hence, The cost of 1 pounds = $49.56/28

                                            = $1.77

Thus, The best buy will be;

''28 pounds for $49.56''

Learn more about the divide visit:

https://brainly.com/question/315081

#SPJ1

A line passes through (1, 1) and (-3,5).
What is the equation of the line in slope-intercept form?

Answers

Answer:      Y=-x+2

Step-by-step explanation:

For the weight of the box that she measured, beatriz determined the margin of error as 23. 5 pounds to 24. 5 pounds. What was the greatest possible error for her actual measurement?.

Answers

The greatest possible error for her actual measurement 0.5 pounds

What is a mistake, exactly?

A mistake is an inaccurate or incorrect action (the Latin word error, which means "wandering"). Sometimes the terms "mistake" and "error" are used synonymously. The Latin word "errare," which means "to stray," is the source of the etymology.

Given:

Beatriz calculated the error range to be 23.5 to 24.5 pounds.

How much room did she have for error in her actual measurement?

Solution:

We initially locate the median of the supplied numbers before calculating the margin of error.

23.5 and 24.5 as the median

[tex]M=\frac{23.5+34.5}{2}= \frac{48}{2}=24[/tex]

Therefore, the largest inaccuracy is 24.5-24 = 0.5 pounds.

As a result, 0.5 pounds is accurate.

Learn more about error

https://brainly.com/question/11472659

#SPJ4

for a molecule with the formula ab2 the molecular shape is . question 14 options: a) t-shaped b) trigonal planar c) linear or t-shaped d) linear or bent e) linear or trigonal planar

Answers

The shape of the molecule having formula ab2 has been linear or trigonal planar. Hence, the correct option will be e) linear or trigonal planar

What is hybridization?

The hybridization is been given as the combining of the valence shells with the formation of the given hybridized shell which have equal energy distribution.

The molecule that has A as a central atom, and B bonded to the fixed central atom. The molecular hybridization of the given molecule will be sp hybridization and that accounts for the linear shape of the molecule according to VSEPR theory.

Hybridization of A having the lone pair, and the shape of the molecule will be trigonal planar.

To learn more about Molecular shapes, visit:

https://brainly.com/question/7558603

#SPJ4

Simpliy. 4x+2(2+5)+1

Answers

Answer:

4x + 15

Step-by-step explanation:

1. Add the numbers

4x + 2(2 + 5) + 1

4x + 2(7) + 1

2. Multiply the numbers

4x + 2(7) + 1

4x + 14 + 1

3. Add the numbers

4x + 14 + 1

4x + 15

Solution:

4x + 15

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 6 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

When I simplified the expression I got the answer

4x + 15


How I got this:

4x+2(2+5)+1

First I started with the brackets because of bedmas

4x+2(7)+1

Then I multiplied 2 by 7 since the 7 is in brackets

4x+14+1

Then I added 14 to 1

4x + 15

We leave it like that because 4x and 15 don't have any common terms so it can't be simplified further

n this scenario, what is the test statistic? the digital marketing specialist would like to test the claim that the percent of customers who use online coupons when making an online purchase is different than 75%. sample size

Answers

The test statistic is  3.10

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

In this scenario what is the test statistic? • The digital marketing specialist would like to test the claim that the percent of customers who use online coupons when making an online purchase is different than 75% Sample size = 80 online customers • Sample proportion = 0.90 Calculate the test statistic using the formula: P-Po where • p = sample proportion, n sample size, and po - population proportion under the null hypothesis Round your answer to 2 decimal places. Provide your answer below:

To learn more about hypothesis visit: https://brainly.com/question/29519577

#SPJ4

a ladder is leaning against a wall. the ladder touches the wall 15 feet above the ground. how far is the bottom of the ladder from the wall if the length of the ladder is one foot more than twice its distance from the wall

Answers

The bottom of the ladder is at 8 feet from the wall.

The position of the ladder will form a right angled triangle with the wall. The perpendicular is 15 feet. Let the distance between ladder and wall be x. Thus, the length of the ladder will be 2x + 1. Forming a equation according to Pythagoras theorem.

(2x + 1)² = x² + 15²

Expanding the equation

4x² + 1 + 4x = x² + 225

Rewriting the equation

4x² - x² + 4x = 225 - 1

Performing subtraction

3x² + 4x = 224

3x² + 4x - 224 = 0

Factorizing the quadratic equation, we get -

x = -9.3 and 8

The distance can not be negative. Hence, the value of x is 8.

Learn more about right angled traingle -

https://brainly.com/question/64787

#SPJ4

with 50 gallons of fuel in its tank, the airplane has a weight of 2195 pounds. what is the weight of the plane with 17 gallons of fuel in its tank?

Answers

The airplane with 17 gallons will weight 746.3 pounds.

What is unitary method ?

With the unitary method, you first determine the value of a single unit before determining the value of the necessary quantity of units. What can values and units be?

Consider going to the store to buy 6 apples. You are informed by the merchant that 10 apples are available for Rs 100. In this scenario, the units are apples and the value is their cost. It's crucial to understand the units and values while using the unitary technique to solve a problem.

Airplane weight with 50 gallons = 2195 pounds

So, airplane weight with 1 gallons = 2195 / 50

                                                        = 43.9 pounds

Hence,

Airplane with 17 gallons = 17 * 43.9 pounds

                                        = 746.3 pounds

To learn more about unitary method, visit:

https://brainly.com/question/21648365

#SPJ4

Find the x value of the axis of symmetry for the following function: f(x) = - 3x ^ 2 + 13x + 10

Answers

The axis of symmetry of the equation f(x) = - 3x ^ 2 + 13x + 10 is

x = 13/6

How to find the axis of symmetry

The axis of symmetry is calculated

= -b / 2a

The quadratic equation is an equation of the form

ax^2 + bx + c

Comparing the given equation f(x) = - 3x^2 + 13x + 10 with ax^2 + bx + c the values of the axis of symmetry is

x = -b / 2a

x = -13 / 2(-3)

x = -13 / -6

x = 13/6

Learn more on quadratic equations here:

https://brainly.com/question/29227857

#SPJ1

Other Questions
Norm macdonald, jason alexander, and reba mcentire have all appeared in tv commercials as which iconic character?. 20 points Which of the following are a characteristic of asexual reproduction? Select all that apply.A. Requires 1 parent organism B. Organism makes a copy of itself and divides C. Requires a lot of time and effort D. Produces offspring genetically identical to the parents E. Produces genetically different offspring F. Can include reproduction such as binary fission, buddy and regeneration a type of polyploid organism called a(n) arises when all of the chromosome sets in the organism are derived from the same species. in the titration of 94.0 ml of 0.400 m hcooh with 0.150 m lioh, how many ml of lioh are required to reach the equivalence point? Sarah is torn between the need to study for an exam and her desire to go out with her friends. She decides that she will go out later only if she completes her studying. Which Freudian component of Sarah's personality does this example illustrate? id unconscious ego superego a nurse is preparing to administer potassium gluconate 2 meq/kg po every 12 hr to a child who weighs 50 lb. how many meq should the nurse administer per dose? 22.7 If a post synaptic cell is stimulated to threshold by temporal summation this implies that ________. Lets say a town has a population of 34,567 people in 2001. And the population is decreasing by 2.2%. What is the population going to be in 2018? a student at another business school surveys 100 of 1000 graduates from last year and asks about their salaries. the researcher finds that the average income is $65, 000, with a standard deviation of $8000. if you wanted to be 95% sure that the real mean of all 1000 students is within a range of the sample mean, what would you set your confidence interval lower and upper bounds to be? mbo is an innovative way of thinking that affects the culture, the strategy, and the technology of a company. t/f Most of the financial information about an organization is based on information generated from accounting records. The reports and financial statements prepared by accountants. What is the solution to the inequality below? 5103+14 Hellloooo helpppp meeee beth wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. how large of a sample must she have to get a margin of error less than 0.03? what is the example for companies passing on extra costs to customers used in the presentation in regard to declining profit margins? Please answer in complete sentences!1.Why did Europeans want to explore the Western Hemisphere in the 15th century?2.What did people in Europe desire as a result of the Crusades?3.Why did they want to find a direct sea route to Asia?4.What group of people were the most responsible for trade between the 7th and 14th centuries? 8x - 3y = 12-8x+3y=5. At top speed, cheetahs can run 80 miles per hour. How fast would that be in meters/second? when applying for the FAFSA, which of the following is not true? which action might a president take to ensure executive branch agencies act in ways that better align with the president's ideology?