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3 years ago

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A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T

he student writes this proportion: StartFraction 4 over 6 EndFraction = StartFraction 24 over 16 EndFraction Explain the error in the student's work.

2 answers:

melamori03 [73]3 years ago

6 0

Answer:

Values are switched, ratio should be 16/24

Step-by-step explanation:

The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:

$\frac{4\ oranges}{6\ ounces}=\frac{24\ oranges}{16\ ounces}$

To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:

$\frac{4\ oranges}{6\ ounces}=\frac{16\ oranges}{24\ ounces}$

The ratio should be 16/24

WITCHER [35]3 years ago

6 0

sample explanation:

The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in the proportion as the first ratio.

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Answer:

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Prism B:

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Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

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defon

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vovangra [49]

Answer:

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Step-by-step explanation:

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