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zysi [14]
2 years ago
6

Evangeline is making snack bags for her class. If she can fill 5/8 of her snack bags with 1 2/3 cups of pretzels, how many cups

of pretzels are needed to fill all of the snack bags? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
Mathematics
1 answer:
brilliants [131]2 years ago
4 0

Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

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The correct answer is about two hours. Hope this helps.
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3 years ago
A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

A'(5)=1.76268

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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3 years ago
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74% is greater than 11/15
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3 years ago
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Answer: hi thanks for the five

Step-by-step explanation:

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3 years ago
HELP PLEASEE!!! I just need help with the 2 boxes
Soloha48 [4]

Answer:

y= x - 300

y = -246 -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

m = \frac{y_2  - y_1}{x_2 - x_1}

From the table, we can say that:

(x_1,y_1) = (0,-300)

(x_2,y_2) = (300,0)

So, we have:

m = \frac{0  -(-300)}{300 - 0}

m = \frac{0 +300}{300}

m = \frac{300}{300}

m = 1

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-300) = 1(x - 0)

y +300 = 1(x)

y +300 = x

y= x - 300

(b) When x = 54

Substitute 54 for x in y= x - 300

y = 54 - 300

y = -246

3 0
3 years ago
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