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STatiana [176]
3 years ago
7

What is the value of x in the proportion (x-1)/5=(4x+2)/35

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

35(x-1) = 5(4x + 2)

now let's distribute the coefficients (5 and 35) into everything in the brackets

35 times x is 35x
35 rimes 1 is 35

5 times 4x is 20x
5 times 2 is 10

(35x - 35) = (20x + 10)

we can add 35 to both sides

35x = 20x + 45

then subtract 20x on both sides

15x = 45

then divide both sides by 15

x = 3
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12

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What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches
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Answer:

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume  = 52 in³

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v = 1/3 * π * r² * h

we solve r

3 * v /h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

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√6.21 in² = r

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now that we have the radius we need to use the area formula of a circle:

a = area

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a = π * r²

we replace the known values

a = 3.14 * (2.49 in)²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²

7 0
3 years ago
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A specialty muffin company makes muffins for $0.12 per muffin. The starting cost of the company is $300. How many muffins must t
V125BC [204]

Answer:

the company should make 2307 muffins before the Average cost reaches $0.25/muffin

Step-by-step explanation:

the total cost of making the muffins is

Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q

where Q = number of muffins

the average cost is

Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q =  $300/Q + $0.12 / muffin

then for Average cost=  $0.25/muffin

$300/Q + $0.12 / muffin =  $0.25/muffin

Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)

then the company should make 2307 muffins before the Average cost reaches $0.25/muffin

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What is the value of x in the equation 8x-2y=48, when y=4
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<h3>How to solve for g(x)?</h3>

The complete question is in the image

From the graph in the image, we have:

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Read more about function transformation at:

brainly.com/question/10222182

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