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2 years ago

10

Given that ABC ~ DEF, if EF = 7.5 what is the length of ? 6.5 6 5 5.5

1 answer:

Elena L [17]2 years ago

4 0

Answer:

5

Step-by-step explanation:

The triangles have a 2:3 ratio given by the heights of the triangles. We can assume the sides of the triangles must always form a 2:3 ratio with the sides. 5:7.5 forms 2:3 ratio if you divide 5/7.5. This equals .67, just as 2/3 does.

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3 years ago

Andrea is at the grocery store buying fruit for a smoothie stand. She needs 7 boxes of raspberries for every 5 bunches of banana

Degger [83]

Answer:

The greatest number of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

Step-by-step explanation:

Let

x ---->the greatest number of boxes of raspberries that Andrea can buy

y ---->the greatest number of bunches of bananas that Andrea can buy

we know that

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$\frac{x}{y} =\frac{7}{5}$

$x=\frac{7}{5}y$ ----> equation A

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substitute equation A in the inequality B

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Find the value of x

replace the value of y in equation A until you get an integer value that satisfies the ratio 7:5

For y=19

$x=\frac{7}{5}(19)$

$x=26.6$

For y=18

$x=\frac{7}{5}(18)$

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For y=17

$x=\frac{7}{5}(17)$

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For y=16

$x=\frac{7}{5}(16)$

$x=22.4$

For y=15

$x=\frac{7}{5}(15)$

$x=21$

therefore

The greatest number of of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

<u><em>Verify the inequality B</em></u>

$1.08[2.50(21)+3.00(15)]\leq 135$

$1.08[52.5+45]\leq 135$

$105.3\leq 135$ ----> is true

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3 years ago

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Answer:

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Step-by-step explanation:

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35×2=70

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Step-by-step explanation:

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