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3 years ago

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While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. H

ow many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is .

2 answers:

allochka39001 [22]3 years ago

4 0

The number of times she has to fill it up is 2 times

Inga [223]3 years ago

4 0

Answer:

The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Step-by-step explanation:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough.

But she has only a 1/4-cup measuring cup.

The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is = $\frac{\frac{1}{2} }{\frac{1}{4} }$

= $\frac{1}{2} \times \frac{4}{1}$ = 2

The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

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astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

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Splitting the middle term, we get

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The critical points are:

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These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

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$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

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