Juan is building a doghouse. He purchased four 14-foot-long boards. Juan must cut pieces for the roof that are 30 inches long. What is the greatest number of 30-inch pieces he can cut from each board?

4(3+14c−12d)

=(4)(3+14c+−12d)

=(4)(3)+(4)(14c)+(4)(−12d)

=12+c−2d

=c−2d+12

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

Find a coordinate of a point and its image. k is the ratio of those.

Here, it is easy to use the y-coordinate of J and J'.

  Jy = -1

  J'y = -2

k = J'y/Jy = -2/-1 = 2

The scale factor k is 2.

Answer:

The answer is 22.

Step-by-step explanation:

6x+2x+4=180

8x+4=180

8x=176

x=22

Answer:

1/6th of them

Step-by-step explanation:

Answer:

Graph C

Step-by-step explanation:

Khan Academy

The correct graph that represents the given data effectively would be:

Graph C

Thus, 'graph C' in the scatter plot format is the correct answer.

Learn more about "Data" here:

brainly.com/question/16348111

Answer:

7.5

Step-by-step explanation:

-2.5 x 3 = 7.5

Answer:-7.5

Step-by-step explanation:

(−2.5)(3)

=−7.5

Answer:

your answer is the third one

Step-by-step explanation:

Answer:

its  4

Step-by-step explanation:

Answjnweijfbiqwerf

Step-by-step explanation:

Answer:

You are correct,y = 0.

Step-by-step explanation:

y = 4 x -3 + 12

y = -12 + 12

y = 0

Hope that helps!

Answer:

-5

Step-by-step explanation:

The slope is always the coefficient of x, and the coefficient of x here is negative 5.

Answer:

44°

Step-by-step explanation:

cos B = 0.7193  =  44°

Answer:

Step-by-step explanation:

m = (4-1) / (9-5)

m = 3/4

Answer:

10, 11, 12, 13

Step-by-step explanation:

2 + 8 = 10

3 + 8 = 11

4 + 8 = 12

5 + 8 = 13

x  |  y

2  |  10

3  |  11

4  |  12

5  |  13

y = x + 8, so take x, add 8 to it, and you get y

Answer:

7 1/6 hours

Step-by-step explanation:

2 1/2 = 2 3/6

4 2/3 = 4 4/6

2 3/6 + 4 4/6 = 7 1/6 hours

:)

Answer:

ordü use uuuuuv bûsh!!!!!!!!!!

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

hope it helps! :3

-3, -3

,........... .......

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle is }\pi r^2\text{ so the area of half a circle is }\frac{\pi r^2}{2}\\ \\ A=\frac{\pi 11^2}{2}\\ \\ A=\frac{3.14(121)}{2}\\ \\ A\approx 189.97cm^2[/tex]

Answer:

760.25

Step-by-step explanation:

The formula for the surface area of a sphere is A=4πr².

r=the radius, or half of the diameter, of the circle.

when you plug in the radius and answer the formula, you should get 1520.5.

You should then divide it by 2 since we are trying to find half of the circle.

Answer:

enough to paint an area = 80 m²

Step-by-step explanation:

area = 8 x 10 = 80 m²

Answer:

Commission rate is 20%.

Step-by-step explanation:

Joey's weekly salary is $325

Plus a commission on his total sales.

Let commission is x% on his total sales.

So, we can set up equation for the given information as

325+x%(2950)= 915

Solve this equation for x%.

Subtract both sides 325

x%(2950) =590

Divide both sides by 2950

x%=0.2

We know x% means it is [tex]\frac{x}{100}[/tex]

So, [tex]\frac{x}{100} =0.2[/tex]

Multiply both sides by 100

x=20%.

So, commission rate is 20%

Step-by-step explanation:

[tex] {x}^{2} = \frac{mn + 1}{9} [/tex]

[tex](3x - 1)(3x + 1)[/tex]

[tex]9 {x}^{2} - 1[/tex]

[tex] {x}^{2} = \frac{9 {x}^{2 } - 1 + 1 } {9} [/tex]

[tex] {x}^{2} = \frac{9 {x}^{2} }{9} [/tex]

[tex] {x}^{2} = {x}^{2} [/tex]

So this identity is true.

We are given the polynomial:

2x³ - 3x² + 4x - 1 = 0

We need to find the value of r² + s² + t² where r,s,t are the solutions.

Simplifying r² + s² + t²:

r² + s² + t² = (r + s + t)² - 2(rs + st + rt)

[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]

Using the Vieta's formulae:

Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.

Sum of roots:

We know that the Vieta's formula to find the sum of roots is:

Sum of roots = [tex]-\frac{b}{a}[/tex]

Where b and a are the coefficients from the general form: ax³ + bx² + cx - d

We notice that for the given equation, b = -3 ;  a = 2

Sum of roots = [tex]-(\frac{-3}{2})[/tex]

Sum of roots = [tex]\frac{3}{2}[/tex]

Hence, the sum of roots (r + s + t) = 3/2

Sum of roots taken two at a time:

We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]

Where c and a are the coefficients from the general form: ax³ + bx² + cx - d

for the given equation, c = 4 ; a = 2

Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]

Sum of roots taken 2 at a time = 2

Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2

Finding the value of r² + s² + t²:

We proved before that:

r² + s² + t² = (r + s + t)² - 2(rs + st + rt)

now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer

r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)

r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4

r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]

r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75

Hence, the value of r² + s² + t² is -1.75

Answer:

2.33

Step-by-step explanation:

7 divided by 3 will equal 2.33

Answer:

The width and height is 1.375 and 4.375 respectively

Step-by-step explanation:

The computation of the width and height of the book case is shown below:

Let the width be w

And, the height be h

So, the following equations should be made

5w+3h=20 ......(i)

h = w + 3......(2)

Now

put the value of h in equation (1)

5w + 3(w + 3) = 20

5w + 3w + 9 = 20

8w = 20-9

8w = 11

w = 11 ÷ 8

= 1.375

And, the height would be

= 1.375 + 3

= 4.375

Answer:

hope it helps...........

Answer:

[tex]x=-2/3, 2/3[/tex]

Step-by-step explanation: