Graph 40-5y=x and plot coordinates.

Answer:

102.88m

Step-by-step explanation:

draw a rectangle and draw a diagonal line from each corner down. You will get 2 right triangles. The height is 91 and the base is 48

[tex]\sqrt{91^2+48^2}= 102..88[/tex]

Answer: 69.6 m

Step-by-step explanation:

Sin 55 deg = opposite side/hypotenuse

0.819 = height/string length

0.819 * 85= height

height = 69.6 m

Answer:

12 and 93.

Step-by-step explanation:

Let the grandsons age be x then Mr. Roger's age = 8x - 3.

Five years ago the grandson's age was x-5 and Mr Rogers was 8x - 8 years old , so:

8x - 8 - (x - 5) = 81

8x - 8 - x + 5 = 81

7x = 81 + 8 - 5 = 84

x = 12.

So the grandson is 12 and Mt Rogers is  8*12 - 3 = 93.

Answer:

The ratio is 4:12:15.

Step-by-step explanation:

we need to make the first ratio (Sylvia's to John's) comparable to second one (John's to Peter's). Since John is in both ratios, we use his number to make it the same. 3 and 4 can both be multiplied into 12. So, multiply the first ratio by 4 and the second by 3.

[tex](1:3) * 4 = 4:12\\(4:5) * 3 = 12:15[/tex]

Put it together, and you get 4:12:15.

Hope it helps :P

Answer:

18π

Step-by-step explanation:

the area of a circle is :

A= r²*π     where r is the radius

here r²  =81⇒ r= 9

the circumference of a circle is :

P= 2*r*π

P= 18π

Answer:

18 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

81 pi = pi r^2

Divide by pi

81 = r^2

Take the square root of each side

sqrt(81) = sqrt (r^2)

9 = r

We want the circumference

C = 2 * pi * r

C = 2 * pi * 9

C = 18 pi

[tex]\text{Graph the lines:}\\\\a. \,\,y = 2/3x - 5\\\\\text{For this equation, we are given our beginning point and slope}\\\\\text{The beginning point is -5, so you would put a point at -5 on the y-axis}\\\\\text{Since the slope is 2/3, we would use the rise/run method}\\\\\text{In this case, starting from -5 on the y-axis, you would go up 2 and to the}\\\text{right 3, then place your point where you ended up.}\\\\\text{Keep using the rise/run method to create the rest of the points}\\\\[/tex]

[tex]b.\,\, 6x - 2y + 5 = 0\\\\\text{Turn the equation into slope form:}\\\\ 6x - 2y + 5 = 0\\\\-2y=-6x-5\\\\y=3x+5/2\\\\\text{The beginning point is at 5/2, or 2.5}\\\\\text{Place the point at 2.5 on the y-axis}\\\\[/tex]

[tex]\text{We know the slope is 3, so use the rise/run method. In this case, you}\\\text{will go up 3 and 1. Continue this process}[/tex]

[tex]\text{I hope this helps, have a good day.}[/tex]

Answer:

Step-by-step explanation:

George: x

Alex: x + 12

Carl: 3(x+12)

3x+36+x+x+12= 68

5x + 48 = 68

5x = 20

x = 4; George's age

4 + 12 =  16; Alex's age

3(4+12)= 3(16)= 48; Carl's age  

George to Alex: 4:16 = 1:4

Alex to Carl: 16:48= 1:3

George to Carl 4:48= 1:12

Carl to Alex: 48:16 = 3:1

Answer:

So for the table , .3 + .1 + .25 + .35= 1.

and 10 green pins. read my explanation please cause i worked a lot on this.

Step-by-step explanation:

So first we add the probability of purple and gray getting picked.

.35 + .25= .6

And we know that the probability of green is 3 times yellow.

So. yellow can be x. and the equation would look like this.

3x + x +.6= 1

x equals .1, because 3x + x or 3(.1) + .1= .4

So, .3 + .1 + .25 + .35= 1.

This should be enough info to complete the table. Now b.)

So we know 14 purple pins... and the probability of that is .35

so if 14 = .35 what equals .25?

(I'm going to convert these decimals into percents for problem b until we get the answer, and then i'll make it back to a decimal form)

Okay, so

14= 35%

and that means .4 equals 1% or .01 probability

so now we times .4 to 25% to find out how many green pins are there.

.4 * 25= 10

So there are 10 green pins.

Answer:  False.

Step-by-step explanation:

If you were to take a protractor, you would see the angle is 80 degrees.

Answer: false brainliest plz

Answer:

377

Step-by-step explanation:

5 / 32 = 59 / x

x = 377.6

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of  4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = [tex]\dfrac{\text{Size of image}}{\text{Size of original figure}}[/tex]

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = [tex]\dfrac{14.7}{4.2}=3.5[/tex]  [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

Answer:

A

Step-by-step explanation:

Answer:

Let's denote your original balance (at the beginning of the month) is x.

After depositing twice (24.61$ and 16.49$), you got 73.31$ as the amount of total money in your account.

=> x + 24.61 + 16.49 = 73.31

=> x = 73.31 - 24.61 - 15.49

=> x = 33.21$

Answer:

Original number is 52.

Step-by-step explanation:

1) Two digit number xy,

it can be written as 10x + y.

2) The sum of the digits of a two-digit number is 7.

x + y = 7

3) The digits are interchanged the reversed number is yx,

the new number can be written as 10y + x.

4)  The original number is 10x + y, so the tens digit of the original number  is x.

5) Five times the tens digit of the original number is 5*x.

6) The reversed number is five times the tens digit of the original number:

10y + x = 5*x

7) We have system of two equations

x + y = 7  ---->  x = 7 - y

10y + x = 5*x --->   10y - 4x = 0

10y - 4x = 0

10y - 4(7 - y) =0

10y - 28 + 4y = 0

14y = 28

y = 2

x = 7 - y = 7 - 2 = 5

x = 5

Original number is 52.

New number 25.

Check:

Original number is 52, the tens digit is 5.

The reversed number (25) is five times the tens digit of the original number find the original number .

25 = 5*5 True

Answer:

x = -20

Step-by-step explanation:

These angles are opposite therefore they are the same angle/degree

so we can look at this problem as

6x+238=3x+178

(subtract 238)

6x=3x-60

(subtract 3x)

3x=-60

(divide by 3)

x=-20

Answer:

(0,-6), (-2,0)

Step-by-step explanation:

-3x-y=6

-y=6+3x

y=-3x-6

when x=0, y=-6

when y=0 x=-2

Complete Question:

These dot plots show the ages (in years) for a sample of two types of fish.

(Check attachment for the dot plots)

What are the differences between the centers and the spreads of these distributions?

Select two choices: one for the centers and one for the spreads.

A. Centers: The sharks have a lower median age than the koi

B. Spreads: The ages of the koi are more spread out.

C. Centers: The sharks have a greater median age than the koi.

D. Spreads: The ages of the sharks are more spread out

Answer:

A. Centers: The sharks have a lower median age than the koi

B. Spreads: The ages of the koi are more spread out.

Step-by-step Explanation:

Centers of a given data set can be defined by the median of the data set. Also, for spreads, we can virtually ascertain how spread the data are on the dot plot or figure out how large the range value is.

==>Centers of both distributions.

*The median of the data distribution for sharks is between the 7th and 8th dot representing the values of 20. The median is the average of the 7th and 8th value = (20+20) ÷ 2 = 20

*The median value of koi is the 14th value represented by the 14th dot on the dot plot = 40

Therefore, for centers, we can conclude that the sharks have a lower median age than the koi.

==>Spreads of both distributions:

Virtually examining both distributions, we would see that the data points represented by dots on the dot plot for koi are more spread out compared to those of sharks.

The range for sharks = 30 - 10 = 20

The range for koi = 70 - 25 = 45

We can conclude that, the ages of the koi are more spread out.

Answer:

9 roots

Step-by-step explanation:

(x+10)^9 = 0

If you would multiply it out, the highest power is x^9 so the equation has 9 roots

Solving (x+10)^9 =0

Taking the 9th root of each sdie

x+10 = 0

x = -10

The root is -10 with multiplicity of 9

Step-by-step explanation:

Use pythagoras theorem

a^2=b^2+c^2

a^2=64+36

a=10m

The length up to the wall of the ladder will be around 5.2915.

The Pythagoras theorem is a theorem used to find out any length of a right-angle triangle.

Pythogoroous theorem is

Hypotenuse² = base² + perpendicular²

Given that a ladder leans against a wall so the ladder will act like a hypotenuse.

Let 6m be the base then we have to find the perpendicular.

Hypotenuse² = base² + perpendicular²

perpendicular² = Hypotaneous² -  base²

perpendicular =  [tex]\sqrt{ (Hypotenuse)^2 - (base)^2}[/tex]

Given hypotenuse is 8m and the base is 6m.

perpendicular² = 8² - 6²

perpendicular² = 28

perpendicular = √(28) = 5.2915 hence this much be far up the wall does the ladder reach.

For more information about Pythagoras theorem.

https://brainly.com/question/343682

#SPJ5

Answer:

thats the answer to rhjs problem

Answer:

steps of time

Step-by-step explanation:

Answer:

None of the above

Step-by-step explanation:

the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.

Hope this helps!

Answer:

Step-by-step explanation:

n could be : -14, -13, -12... -1, 0 , 1, 2, 3 ,4,5

Answer:

C

Step-by-step explanation:

Most of the times C is the answer on a test

Answer:

its D

Step-by-step explanation:

brainly tests

Answer:

answer is 10 feet

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{2}[/tex] square units        [one-half x squared square units]

Step-by-step explanation:

As shown in the diagram attached to this response,

Since a square has all sides equal, let the sides of the square be each of a units.

The area, A, of the square = a x a = a²

i.e

A = a²    --------------(i)

Now,

The diagonal is x units such that applying Pythagoras rule gives;

x² = a² + a²

x² = 2a²

a² = [tex]\frac{x^2}{2}[/tex]           ----------------(ii)

Substitute the value of a² in equation (ii) into equation (i) to get;

A = [tex]\frac{x^2}{2}[/tex]

Therefore, the area of the square is [tex]\frac{x^2}{2}[/tex] square units

Answer:

1/2x^2 square units

Step-by-step explanation:

Answer:

$2,459.21

Step-by-step explanation:

(see attached for reference)

recall that the formula for compound interest is:

A = P [ 1 + (r/n)^ (nt) ]

where,

A = Final amount ( we are asked to find this)

P = principal amount = given as $2,340

r = Annual Interest Rate = given as 5% = 0.05

n = number of times compounded in a year = 4 (compounded quarterly)

t= time = 1 year

Substituting the values into the equation,

A = P [ 1 + (r/n)^ (nt) ]

A = 2,340 [ 1 + (0.05/4)^ (4·1) ]

A = $2,459.21

Answer:

-x+3

Step-by-step explanation:

3 plus signs so 1+1+1= 3

It is approximately equal to 0.1111

=================================

To get this answer, we use the rule

[tex]x^{-k} = \frac{1}{x^k}[/tex]

The negative exponent tells us to apply the reciprocal to get the exponent to be positive.

So,

[tex](-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}[/tex]

Squaring -3 means you square the negative as well

[tex](-3)^2 = (-3)*(-3) = 9[/tex]

Answer:

1/9

Step-by-step explanation:

(-3)^-2 would be better written as (-3)^(-2).

                                                                                       1

(-3)^(-2) would be easier to evaluate if written as -------------

                                                                                   (-3)^2

The final answer is 1/9.

Answer:

For 1: 2/11

For 2: 1/10

Step-by-step explanation:

For 1: There are two M's in MATHEMATICS and 11 total letters, therefore the probabilitly is 2/11

For 2: Since you already got rid of one letter there are only 10 letters left. There is also only one M left, therefore the answer is 1/10

Answer:

1) 2/11

2)1/10

Step-by-step explanation:

1) MATHEMATICS

Number of times letters in the word Mathematics are written.

M=2

A=2

T=2

E=1

I=1

C=1

S=1

Probability= Successful outcome÷ Possible outcome

Succesful outcome=2

Possible outcome=11

2÷10=2/11

Probability of M is 2/11

2) ATHEMATICS

M=1

Succesful outcome =1

Possible outcome= 10

1÷10=1/10

Probability of getting another M is 1/10

Hope it helps <3

Answer:

B. (9x - 5y)(9x + 5y)

Step-by-step explanation:

Rewrite the binomial as:

(9x)² - (5y)²

Apply difference of two squares formula.

x² - y² = (x - y)(x + y)

(9x)² - (5y)² = (9x - 5y)(9x + 5y)