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DedPeter [7]
3 years ago
6

An emu that measures 22 inches in height is 14 inches less than 2 times the height of a stuffed toy canary. What is the height o

f the stuffed toy canary? Jesus thinks the height of the canary is 18 inches. Is this true or false?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:  The height of the stuffed toy canary is 18 inches so Jesus is right.

Step-by-step explanation:

We can represent the first statement by the equation  22= 2x - 14    where x is the height of the stuffed toy canary  so solve for x

22 = 2x -14   Add 14 to both sides

+14          +14

36 = 2x       Divide both sides by 2

x = 18  

Jesus is right.

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A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa
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The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

8 \times h + 5 \times f = 24

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

6 \times h + 2 \times f = 16.60

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

<h3>h = 2.5</h3>

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

<h3>f = 0.8</h3>

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

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Step-by-step explanation:

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