The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?

Answer:

8

Step-by-step explanation:

40÷5=8

Hope this helps! :)

Answer:

J and K are supplementary

Step-by-step explanation:

Given

The attached image

Required

The true statement

From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.

However, J and K can be worked easily.

From the image

[tex]J = 65^o[/tex] --- vertically opposite angles

And:

[tex]K + 65^o = 180^o[/tex] ---- angle on a straight line

Substitute: [tex]J = 65^o[/tex]

[tex]K + J = 180^o[/tex]

When two angles add up to 180, the angles are supplementary.

Hence, (c) is correct

Answer:

The answer is below

Step-by-step explanation:

a) the volume of the pit = length * width * depth = 9 dm * 6 dm * 7 dm = 378 dm³

Hence to fil the pit, 378 dm³ of sand is needed.

b) Volume of the room = length * width * height = 2.3 m * 0.59 m * 3.74 m = 5.08 m³

The cabinet would occupy 5.08 m³ of space.

c) volume = length * width * height

210 dm³ = 3.5 dm * 6 dm * width

width = 210 dm³ / (3.5 dm * 6 dm) = 10 dm

d) Volume of the room = length * width * height = 15 m * 15 m * 15 m = 3375 m³

The stockroom has a space of 3375 m³

e) volume = length * width * height = 5 dm * 5 dm * 5 dm = 125 dm³

The container has a space of 125 dm³

f) volume = length * width * height = 41 cm * 13 cm * 24 cm = 12792  cm³

The box has a space of 12792  cm³

g) volume of prism = length * width * height

72 m³ = 4 m * 3 m * length

length = 72 m³ / (4 m * 3 m) = 6 m

h) volume = length * width * height = 8 cm * 8 cm * 8 cm = 512 cm³

The figure has a volume of 512 cm³

i) volume = length * width * height = 5 ft * 2 ft * 3 ft = 30 ft³

The cabinet has a space of 30 ft³

Answer:

if it is easy i can do it

hope it helps

Answer:

3

Step-by-step explanation:

I will help

Answer:

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Step-by-step explanation:

A. Determination of the time it takes for the object to 1000 ft.

Distance (d) = 1000 ft

Time (t) =?

t = √(d/16)

t = √(1000/16)

t = 8 s

B. Determination of how much feet an object will fall in 10 s.

Time (t) = 10 s

Distance (d) =?

t = √(d/16)

10 = √(d/16)

Take the square of both side

10² = d/16

100 = d/16

Cross multiply

d = 100 × 16

d = 1600 ft

SUMMARY

It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.

Answer:

Tn=8n-6

Step-by-step explanation:

this is arithmetic sequence so first we check our difference by saying

T2-T1=T3-T2

10-2=18-10

so difference =8 nd a=2

Formula for arithmetic is Tn=a + (n-1)d

then substitute Tn=2 + (n-1)(8)

Tn=2 + 8n-8

Tn=8n-6

Answer:

The APR of the loan was 18.30%.

Step-by-step explanation:

Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:

3,000 = 100

(73.94 x 48) = X

3,000 = 100

3,549.12 = X

3,549.12 x 100 / 3,000 = X

354,912 / 3000 = X

118.30 = X

118.30 - 100 = 18.30

Therefore, the APR of the loan was 18.30%.

Answer:

A = πx² - 2πx + π

Step-by-step explanation:

The area of the new cup opening :

We are given the area formula to use :

Area, A = πr²

r = Radius = x-1

Area = π(x - 1)²

A = π(x - 1)(x - 1)

A = π(x² - x - x + 1)

A =π(x² - 2x + 1)

A = πx² - 2πx + π

Answer:

[tex]Area = 130977cm^2[/tex]

Step-by-step explanation:

Given

[tex]W=840[/tex]

[tex]U = 350[/tex]

[tex]\angle V = 63^o[/tex]

Required

The area

The area is calculated as:

[tex]Area = \frac{1}{2}UW\sin(V)[/tex]

So, we have:

[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]

[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]

[tex]Area = 130977cm^2[/tex]

Hope it's help you

Answer:

14

Step-by-step explanation:

Simply take the square root of 196.

Hope that this helps!

Answer:

The side length is 14 m

Step-by-step explanation:

The formula for the area of a square is A = s^2, where s represents the length of one side.

If A = s^2  =  196m^2, we find the side length by taking the square root of both sides:  

s = √(196 m^2) = 14 m

The side length is 14 m

[tex]x = - 2 \: then \: g( - 2) = 0 \\ x = 4 \: then \: g(4) = - 4.[/tex]

Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is

g(x) = - 4.

A composite function is created when one function is substituted into another function.

Given

Composite Function g

g(x) = 6,   -8 ≤ x ≤ -2

g(x) = 0,   -2 ≤ x ≤ 4

g(x) = -4,   4 ≤ x ≤ 10

The values of the function when x = -2

x is between -2 and 4

g(x) = 0, -2 ≤ x ≤ 4

Thus, The values of the function when x = -2 is g(x) = 0

The values of the function when x = 4

x is between 4 and 10

g(x) = -4, 4 ≤ x ≤ 10

Thus, The values of the function when x = 4 is g(x) = - 4

Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is

g(x) = - 4.

Learn more about composite function here

https://brainly.com/question/20379727

#SPJ2

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

Answer:

Joey will use 6 bowls.

Step-by-step explanation:

We have to divide to solve.

What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?

When you divide fractions you just multiply by the reciprocal (the fraction flipped.)

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]

[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] = 6

Joey will use 6 bowls.

Answer:

30. A right triangle has one angle that is 90°

All angles add to 180°

180 - 90 - 60 = 30

Step-by-step explanation:

Answer:

answer is

74....................

Answer:  y = 57°;

               Angle Values: 66° and 114°.

Step-by-step explanation:

The sum of the corresponding angles is 180°.

y + 9 + 2y = 180

3y = 180 - 9

3y = 171

y = 57

Angle Values:

57° + 9° = 66°

57° · 2 = 114°

Answer:

3

Step-by-step explanation:

I think its 3 because when we add 2 to x the graphic must be continue two step to right

Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.

Step-by-step explanation:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

Answer:

y = -2 1/3+3

Step-by-step explanation:

-Subtract 7x from each side of equation

-divide by 3 on each side

7x+3y = 9

3y = -7x+9

y = -7/3+3

:) ur welcome

Answer:

[tex]36\pi {a}^{3} [/tex]

Step-by-step explanation:

Volume = [tex] \frac{4}{3} \times \pi \times (r)^{3} [/tex]

[tex] \frac{4}{3} \times \pi \times {3a}^{3} [/tex]

[tex] \frac{4\pi}{3} \times {3}^{3} [/tex]

[tex] \frac{4\pi}{3} \times 27[/tex]

[tex] \frac{4\pi}{3} \times (3(9))[/tex]

[tex]4\pi \times 9[/tex]

[tex]36\pi {a}^{3} [/tex]

Answer:

$0.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

growth

79% rate of increase

Step-by-step explanation:

1.79 is > than 1

therefor growth

1.79  = 79% rate of increase

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

Answer:

The mode is 7 and 8

The mean is 5.2

The range is 7

Answer:

Step-by-step explanation:

11 22 6 34 19