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liq [111]
3 years ago
7

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

$7 + $0.20p = $5 + $0.30p

Step-by-step explanation:

UPS charges $7 for the first pound and $0.20 for each additional pound.

FedEx charges $5 for the first pound and $0.30 for each additional pound.

Let's take the number of  additional pounds that will make UPS and FedEx cost the same to be p.

$7 + $0.20p = $5 + $0.30p

$7 - $5 = $0.30p - $0.20p

$2 = $0.10p

p = \frac{2}{0.1} = 20 additional pounds

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet
nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

f(x)=3(x-2)+4

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval [a,b] is given as :

\frac{f(b)-f(a)}{b-a}

For the given function we need to find the average rate of change between 2nd year and 6th year. [2,6]

So, we have:

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Thus, average rate of change will be:

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8 0
3 years ago
Angelica had 8 more pairs of shoes than her mom. Together they have 30 pairs of shoes. How many pair of shoes does each one have
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Answer:

The answer to your question is Angelica 19, her mom = 11

Step-by-step explanation:

Data

Angelica has 8 more than her mother

total number of shoes = 30 pairs

The Number of pairs Angelica has = a = ?

The Number of pairs her mother has = m = ?

Process

1.- Write two equation that help to solve this problem

        a = m + 8                    Equation l

        a + m = 30                  Equation ll

2.- Solve the system of equations by substitution

Substitute equation l in equation ll

       (m + 8) + m = 30

-Solve for m

        m + 8 + m = 30

        2m = 30 - 8

        2m = 22

          m = 22/2

          m = 11

3.- Find a

          a = 11 + 8

          a = 19

4.- Conclusion

 Angelica has 19 pairs of shoes and her mom has 11

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