Solve the equation: x(x+3)(x+3)=0

Answer:

x = 7

y = 8

Step-by-step explanation:

4y-4 = 28

4y = 32

y = 8

10x+65 = 135

10x = 70

x = 7

Answer:

Step-by-step explanation:

(4y-4)=28

4y=32

y=8

(10x+65)=135

10x=70

x=7

Answer:

Let the number of children taken to the movies  = x

Let the number of adults taken to the movies  = y

Lets talk about Matinee tickets first:

so 4$ per child/adult

4x + 4y [tex]\leq[/tex] 80    (since the budget is 80$, we can spend 80$ , hence the less- than or equal-to)

4(x+y)[tex]\leq[/tex] 80

x + y [tex]\leq[/tex] 40

So, for the matinee show, the sum of number of children and adults should be less than or equal to 40

Lets talk about the Evening show:

so 6$/child and 8$/adult

6x + 8y [tex]\leq[/tex] 100

2(3x + 4y) [tex]\leq[/tex] 100

3x + 4y [tex]\leq[/tex] 50

So, for the Evening show, the sum of 3 times the number of children and 4 times the number of adults should not exceed 50

This is the value 40 million

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

Explanation:

You could use a calculator, or you could do it mentally. The second approach will have us note that 4*1 = 4, and then we tack on 7 zeros since we have two zeros in 400 and five zeros in 100,000 giving a total of 2+5 = 7

So that means 400*100,000 = 40,000,000 = 40 million

-------

You could also use scientific notation

400 = 4 x 10^2

100,000 = 1 x 10^5

400*100,000 = (4x10^2)*(1x10^5)

400*100,000 = (4*1) x (10^2*10^5)

400*100,000 = 4 x 10^(2+5)

400*100,000 = 4 x 10^7

400*100,000 = 40,000,000

The exponent of 7 means we move the decimal point 7 spots to the right to go from 4.0 to 40,000,000

Answer:

33

Step-by-step explanation:

The probability you will pick a green or a pink marble is:

3/4

Multiply 3/4 with 44.

3/4 × 44

= 33

Answer:

Conservation of natural resources is the intelligent and wise use of natural resources in order to last longer.

The conservation of natural resources refers to the sustainable management of natural resources such as water, air, land, and forests. It means that these resources are used in a way that meets the needs of present and future generations. The conservation of natural resources requires the use of technology, policies, and practices that are environmentally sound and economically feasible.

Hope this helps :)

Answer: There were 10 students in the class on the first day.

Step-by-step explanation:

Let x be the number of students of the first day.

Given: A college writing seminar increased its size by 50 percent from the first to the second day.

i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)

= x +50% of x

= x+0.50x

= (1.50)x

=1.50x

Since, it is given that  the total number of students in the seminar on the second day was 15.

i.e. [tex]1.50x=15[/tex]

[tex]\Rightarrow\ x=\dfrac{15}{1.5}\Rightarrow\ x=\dfrac{150}{15}\\\\\Rightarrow\ x=10[/tex]

Hence, there were 10 students in the class on the first day.

Answer:

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].

Step-by-step explanation:

As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

[tex]x - h = 4\cdot p \cdot (y-k)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

[tex]p[/tex] - Least distance of directrix with respect to vertex, dimensionless.

Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:

[tex]p = x_{D} - x_{V}[/tex]

[tex]p = \frac{1}{48}-0[/tex]

[tex]p = \frac{1}{48}[/tex]

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].

Answer:

Step-by-step explanation:

The spread of the height of each person in the group depends on the standard deviation. A low standard deviation means that the heights are closer to the mean than that of a high standard deviation. If an individual is picked, the probability of picking one who is more than 68 inches tall is small as this depends on the number of individuals in this category. The probability of picking a sample of four people who average more than 68 inches tall would be higher since average would be taken. Therefore, it is more likely to pick a sample of four people who average more than 68 inches tall

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

Answer:

Step-by-step explanation:

We know that'

GCF × LCM = Product of given number

1. Two numbers have a GCF of 2

= 2 × LCM = Product of given number

LCM = Product of given number / 2

LCM is half of given product.

2. Two numbers have an LCM of 2

= GCF × 2 = Product of given number

GCF = Product of given number / 2

GCF is half of given product.

3. Two numbers have a GCF of 3

= 3 × LCM = Product of given number

LCM = Product of given number / 3

LCM is one-third of given product.

4. Two numbers have an LCM of 10

= GCF × 10 = Product of given number

GCF = Product of given number / 10

GCF is one-tenth of given product.

Answer: n=2

Step-by-step explanation: 4n-2n=4

4(2)-2(2)=

8-4=4

Answer:

n=2

Step-by-step explanation:

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*n-2*n-(4)=0  

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  2n - 4  =   2 • (n - 2)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    n-2 = 0  

Add  2  to both sides of the equation :  

                     n = 2

ith 0 identical marbles permitted to be included in any of the jars, An expression can be developed to determine the total of marbles in jar arrangements, which is:

E = [(n+j -1)!]*{1/[(j-1)!]*[(n)!]}, where n = number of identical balls and j =number of distinct jars, the contents of all of which must sum to n for each marbles in j jars arrangement. With n = 7 and j = 4. E = 10!/(3!)(7!) = 120= number of ways 7 identical marbles can be distributed to 4 distinct jars such that up to 3 boxes may be empty and the maximum to any box is 7 balls.i think is the answer

Answer:

3x - 300

Step-by-step explanation:

Expand the brackets or use distribute law.

Answer:

solution,

[tex]3(x - 100) \\ = 3 \times x - 3 \times 100 \\ = 3x - 300[/tex]

hope this helps..

Answer:

15%

Step-by-step explanation:

percentage error equals to

(error / actual length) x 100

error = 1.5

actual length = 10

answer equals 15%

Answer:

Step-by-step explanation:

Height of the cylinder = 1.4 m

diameter of the cylinder = 1.1 m

Tublu has a full 2 litre tin of paint  

Assume that the tank has an open top to allow the capturing of rainwater.

Also, Tublu does not need to paint the base of the tanks.

Tublu needs 250 ml to cover 1 m^2 of the tank body

Only the body of the tank is to be painted, so we find the perimeter of the tank body.

from basic circle mensuration, perimeter of the tank body =  [tex]\pi d[/tex]

where d is the diameter of the tank

==> 3.142 x 1.1 = 3.456 m

If we imagine that this perimeter of the tank body is spread out, it will form a rectangle with a height of 1.4 m from the base.

The area of this rectangle that will be formed =  (perimeter of the cylinder body) x ( height of the cylinder)

==> 3.456 x 1.4 = 4.838 m^2

this area is the area of the tank that needs to be painted.

Now we convert the 250 ml to litre,  we'll have

250 ml = 250 x 10^-3 litres = 0.25 litres

Since 250 ml or rather 0.25 litres of paint is needed to cover 1 m^2 area of the tank's body, then, we will need

==> 4.838 x 0.25 = 1.21 litres of paint

Since Tublu has a full 2 litres tin of paint, and he needs 1.21 litres  to cover the body of the tank, then we can say that Tublu has more than enough paint to cover the tank surface in one layer coating.

Answer:

1. 1/x = 8

Answer = 8x-1

2. 8x+1=3

Answer ; x=1/4

3. 7= 14/X

Answer ; x = 2

4.1/2x^2 = 2

Answer ;x=2

Step-by-step explanation:

[tex]\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\[/tex]

Answer:

1. 1/x=8 ⇒ 8x= 1

2. 8x+1= 3⇒ x=1/4

3. 7= 14/x ⇒ x =2

4. 1/2x^2= 2 ⇒ x=2 this is a repeat of one above

None is matching x=1/2

Answer:

The answer is y = 3x - 6

Step-by-step explanation:

Equation of a line is y = mx + c

Where

m is the slope

c is the y intercept

Equation of the line using point (0,6) and slope 3 is

y - 6 = 3(x - 0)

y - 6 = 3x

Hope this helps you

y = 3x - 6

Answer:

Answer is given below with explanations.

Step-by-step explanation:

Answer is option 1) 85 : 51

[tex]given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51} [/tex]

Option 1 is correct.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

12

Step-by-step explanation:

The way to find the slope side of a traingle is

A^2+B^2=C^2  Next you substitute

5^2+B^2=13^2  Next simplify

25+B^2=169  Next use the subtraction property of equality

B^2=144  Next find the square root

B=12

Hope this helps :)

Answer:

height =12

Step-by-step explanation:

use Pythagorean theorem for right angle triangle:

a²+b²=c²

a²=c²-b²

a²=13²-5²

a²=144

a=√144-=12

Answer:

Option D

Step-by-step explanation:

We are given the following equations -

[tex]\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}[/tex]

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

[tex]\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}[/tex]  First, I swapped the first and third rows.

[tex]\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}[/tex]  Leading coefficient of row 2 canceled.  

[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}[/tex]  The start value of row 3 was canceled.

[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}[/tex]       Matrix rows 2 and 3 were swapped.

[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}[/tex]      Leading coefficient in row 3 was canceled.

[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}[/tex]

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

[tex]\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}[/tex]

The positioning of the zeros indicated that there was no solution!

Hope that helps!

Answer:

Step-by-step explanation:

Total amount of yogurts made by Stacy = 1.5 Litres

Volume of each cups to be filled with yogurts = 125mL = 125*10⁻³Litres

To get the number of cups Stacy can fill for her to exhaust 1.5Litres can be gotten using the relationship;

Number of cups = Total volume of yogurts made/Volume of each cup

Number of cups = 1.5/125*10⁻³

Number of cups = 1.5/0.125

Number of cups = 12 cups

Number of cups Stacy can fill is 12 cups

Answer:

For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be [tex]\alpha=0.01[/tex] then the value of [tex]\alpha/2 =0.005[/tex] and the degrees of freddom are given by:

[tex] df =n-1 = 19-1=18[/tex]

Then the critical values for this case are:

[tex]\chi^2_{\alpha/2}=6.265[/tex]

[tex]\chi^2_{1-\alpha/2}=37.156 [/tex]

Step-by-step explanation:

For this problem we are assuming that the confidence level is 99% or 0.99, then the significance level would be [tex]\alpha=0.01[/tex] then the value of [tex]\alpha/2 =0.005[/tex] and the degrees of freddom are given by:

[tex] df =n-1 = 19-1=18[/tex]

Then the critical values for this case are:

[tex]\chi^2_{\alpha/2}=6.265[/tex]

[tex]\chi^2_{1- \alpha/2}=37.156 [/tex]

Using a calculator for the chi-square distribution, it is found that the critical values are [tex]\chi^2_r = 6.2648[/tex] and [tex]\chi^2_r = 37.1565[/tex].

For a chi-square critical value, three parameters are needed:

In this problem:

Hence, using a calculator, the critical values are [tex]\chi^2_r = 6.2648[/tex] and [tex]\chi^2_r = 37.1565[/tex].

A similar problem is given at https://brainly.com/question/13780944

Answer:

4a^2+4ab+b^2

Step-by-step explanation:

To find the square we multiply the expression with itself

(2a+b)×(2a+b) = 4a^2+4ab+b^2

Answer:

tan =-1

Step-by-step explanation:

tan(θ)=sen(θ)/cos(θ)

so

[tex]tan(angle)=\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} } }\\\\tan(angle)=-1[/tex]

Answer:

Step-by-step explanation:

[tex]cos \: \: theta \: = \frac{ \sqrt{2} }{2} = \frac{1}{ \sqrt{2} } = cos \: \frac{\pi}{4 } [/tex]

[tex]cos \: (2\pi \: - \frac{\pi}{4} ) \: \: ( \frac{3\pi}{2} < theta < 2\pi)[/tex]

[tex] = cos \: \frac{7\pi}{4} [/tex]

Theta = 7π / 4

[tex]sin \: theta = sin \: \frac{7\pi}{4} [/tex]

[tex] = sin \: (2\pi \: - \frac{\pi}{4} )[/tex]

[tex] - sin \: \frac{\pi}{4} [/tex]

[tex] = \frac{ - 1}{ \sqrt{2} } [/tex]

[tex] = - \frac{ \sqrt{2} }{2} [/tex]

Finding tan theta:

[tex]tan \: theta = tan \: \frac{7\pi}{4} [/tex]

[tex] =tan \: (2\pi - \frac{\pi}{4} )[/tex]

[tex] = - tan \: \frac{\pi}{4} [/tex]

[tex] = - 1[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

No solution.

Step-by-step explanation:

x+1/3 =x-2/4+1/3​

Subtract x and 1/3 on both sides.

x-x=-2/4

0= - 1/2

There are no solutions.

Answer:

7.1+/-0.48

= (6.62, 7.58) hours

Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 7.1 hours

Standard deviation r = 0.78 hour

Number of samples n = 10

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

7.1+/-1.96(0.78/√10)

7.1+/-1.96(0.246657657493)

7.1+/-0.483449008686

7.1+/-0.48

= (6.62, 7.58) hours

Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours

The 95% confidence interval of the mean time is (6.62,7.58) and this can be determined by using the formula of the confidence interval.

Given :

The following steps can be used in order to determine the 95% confidence interval of the mean time:

Step 1 - The formula of the confidence interval can be used in order to determine the 95% confidence interval of the mean time.

Step 2 - The formula of the confidence interval is given below:

[tex]\rm CI = \bar{x}\pm z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]

where the standard deviation is  [tex]\sigma[/tex] and the sample size is 'n'.

Step 3 - Now, substitute the values [tex]\rm \bar{x}[/tex], [tex]\sigma[/tex], n and z in the above expression.

[tex]\rm CI = 7.1\pm 1.96\times \dfrac{0.78}{\sqrt{10} }[/tex]

Step 4 - Simplify the above expression.

[tex]\rm CI = 7.1\pm0.48[/tex]

So, the 95% confidence interval of the mean time is (6.62,7.58).

For more information, refer to the link given below:

https://brainly.com/question/2396419

Answer:

A) 0.989

B) 0.875

Step-by-step explanation:

Let the X denote height measurements of ten year old children.

Thus, X follows the Normal distribution with mean = 56.2 inches and standard deviation = 3.3 inches.

A) we have to find the probability that a randomly chosen child has a height of less than 63.75 inches.

That is;

P(X < 63.75)

using z score formula, we have;

Z = (X - μ)/σ

Where, μ is mean and σ is standard deviation.

Thus;

Z = (63.75 - 56.2)/3.3

Z = 2.288

From z distribution table, we have the value as approximately 0.989

B) Similarly, using z score formula, we have;

Z = (X - μ)/σ

Where, μ is mean and σ is standard deviation.

Thus;

we have to find the probability that a randomly chosen child has a height of more than 60 inches.

Z = (60 - 56.2)/3.3

Z = 1.1515

From z-tables, the value is approximately 0.875

Answer: -150

Step-by-step explanation: The result of a multiplication problem is called the product so we know that we will be multiplying here.

When multiplying integers, if the signs

are different, the product is negative.

So a positive times a negative always equals a negative.

Therefore, (+25) · (-6) is -150.

Answer: -150

Step-by-step explanation: took the unit test on edge

Answer:

The first choice

Step-by-step explanation:

Area of a triangle is 1/2x base x height

the base is 10 and height is 24

26 is the hypotenuse but it is not used in calculating the area

Hope this helps :)

Answer:

1/2 times 10 times 24

Step-by-step explanation:

The hypotenuse is across the right angle so it can’t be included in the area of the triangle which is 26 and 10^2 + 24^2=26^2 by Pathagorean Theron

Answer:

27 miles

Step-by-step explanation:

36/12=3

they travel at 3 miles per hour

9(3)=27

27 miles in 9 hours