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3 years ago

Jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

7 0

Answer:

10 cups

Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

3w = 30

w = 30/3

w = 10

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3 years ago

Find the value of c that makes the expression a perfect square trinomial. x2 + 9 4 x + c

JulijaS [17]

The value of c is 81/64 for the expression a perfect square trinomial.

<h3>What is an Expression?</h3>

An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.

It is given that an expression

x² +9/4x +c is a perfect square polynomial

c =?

(a+b)² = a² +2ab+b²

2ab = 9/4

b = 9/8

c = b² = 81/64

Therefore the value of c is 81/64 for the expression a perfect square trinomial.

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2 years ago

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jasenka [17]

Answer:

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Step-by-step explanation:

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3 years ago

A company estimates that its cost and revenue can be modeled by the functions C)-0.75x+20,000

lisabon 2012 [21]

Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)

P(x) = -1.50x - (-0.75)x + 20,000

P(x) = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

<h3>How to find profit function?</h3>

The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).

Given:

C(x) = -0.75x+20,000 and R(x)= -1.50x

P(x) = R(x) - C(x)

= -1.50x - (-0.75)x + 20,000

= -1.50x + 0.75x + 20,000

Apply rule -(-a) = a

= -1.5x + 0.75x + 20000

Add similar elements:

-1.5 x + 0.75x = -0.75x

P(x) = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

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2 years ago

One week, Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gas

SpyIntel [72]

The question is incomplete, the complete question is here:

One week , Kerry travels 125 miles and uses 5 gallons of gas. next week she travels 175 miles and uses 7 gallons of gas . what best describes the function that can be used to represent m, the number of miles traveled, and g, the number of gallons used

The best function represents the relation between m and g is m = 25 g

Step-by-step explanation:

The given is:

One week, Kerry travels 125 miles and uses 5 gallons of gasoline
The next week, she travels 175 miles and uses 7 gallons of gasoline
m represents the number of miles traveled by g gallons

We need to write a function that can be used to represent m and g

∵ Kerry travels 125 miles and uses 5 gallons of gasoline in

one week

∴ The rate = 125 ÷ 5 = 25 miles per gallon

∵ She travels 175 miles and uses 7 gallons of gasoline in

next week

∴ The rate = 175 ÷ 7 = 25 miles per hour

- That means the rate is constant

∴ The relation between the number of miles and the number of

gallons used is linear

- The linear relation is y = k x, where k is the constant of relation

∵ m is the number of miles

∵ g is the number of gallons

∵ 25 is the constant rate

∴ m = 25 g

The best function represents the relation between m and g is m = 25 g

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3 years ago