The sum of two positive numbers is 55 times their difference. What is the ratio of the larger number to the smaller number?

Answers

Answer 1

Answer: so x and y
sum means add
difference means subtract
so we have
x+y=55 times (x-y)
use distributiver property which is
a(b-c)=ab-ac so
distribute 55(x-y)
55(x-y)=55x-55y

so we have
x+y=55x-55y
add 55y to boh sides
x+56y=55x
subtract x from both sides
56y=54x
divide both sides by 2
28y=27x
to find the ratio, switch the numbers around
ratio of y:x=27:28
therefor x is the greater number
ratio of larger to smaler is
28:27

Answer 2

Answer: 11 * 5 = 55.

In this case 5 would be the smaller number and 11 would be the bigger number.
those two numbers are our ratio's, The sum of them combined is 55.

i hope this helped you.

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A store sold 330 yards of fabric. It charged $11 a yard.

What is the total cost of the fabric?

Answers

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Hey there

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The sales tax in Bill's state is 6%. Bill bought a Scion having a sales tax of $820. What was the cost of the car? Round to the nearest dollar. A. $13,666 B. $13,668 C. $13,665 D. $13,667

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The elements of a function of x are (-4,1), (-2,0), (8,-1). What is the domain of the function?

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A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?

Keep answer simple

Answers

Answer:

the company must sell 15 bracelets to break even.

Step-by-step explanation:

To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.

The cost of producing x bracelets is given by the function C(x) = 180 + 8x.

The revenue earned from selling x bracelets is given by the function R(x) = 20x.

To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).

Substituting the given functions:

P(x) = 20x - (180 + 8x).

To simplify the expression, we combine like terms:

P(x) = 20x - 180 - 8x.

Simplifying further, we combine the x terms and the constant terms:

P(x) = 12x - 180.

So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.

To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:

12x - 180 = 0.

Adding 180 to both sides of the equation:

12x = 180.

Dividing both sides by 12:

x = 15.

Which of the following inequalities are correct?Some of the numbers involved are shown on the number line below.

Answers

Answer:

Theyre all correct

Step-by-step explanation:

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