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Aneli [31]
2 years ago
6

Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 mil

es per hour.
How long did it take Anna to travel the same distance as Allen?

Drag the steps in the correct order to solve the problem.

Mathematics
1 answer:
TEA [102]2 years ago
3 0

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

<h3>What is Anna's time?</h3>

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $
alexira [117]

Answer:1.627\times 1.627\times 1.88\ ft^3

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume V=l^2\cdot h

h=\frac{V}{l^2}

volume V=5 ft^3

Area of side wall is A_s=l^2

Area of top Wall A_t=l\times h

Area of bottom A_b=l\times h

Cost of bottom wall c_b=20\times l\times h=20lh

Cost of top wall c_t=50\times l\times h=50lh

Cost of side walls c_s=4\times l^2\times 10=40l^2

total cost C=c_s+c_t+c_b=20lh+50lh+40l^2

C=70lh+40l^2

C=70\times l\times \frac{5}{l^2}+40l^2

differentiate C w.r.t l to get minima or maxima

\frac{\mathrm{d} C}{\mathrm{d} l}=0

-\frac{350}{l}+80l^2=0

l^3=\frac{350}{80}

l=1.627 ft

h=\frac{5}{2.648}

h=1.88 ft

Dimension of Box is 1.627\times 1.627\times 1.88\ ft^3

5 0
3 years ago
How do I find the volume of the cylinder round to the nearest hundredths ​
Zigmanuir [339]

Answer:

Volume = 502.65 cm³

Step-by-step explanation:

V= 3.14×4²×10 = 502.65 cm³

8 0
2 years ago
Collin bought 1/2 a pound of chocolate at Rocky Mountain Chocolate factory. Later, they went to The Sweet Shoppe and he bought 6
Lera25 [3.4K]

Answer:

1 1/6

Step-by-step explanation:

6/9 times 2/2=12/18

1/2 times 9/9=9/18

12/18+9/18=21/18

21/18=1 3/18

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6 0
3 years ago
Read 2 more answers
Please answer this correctly
coldgirl [10]

Answer:

4/5

Step-by-step explanation:

Because Patrick ate 1/5 of his cake, meaning that there would be 4/5 of the cake left for his friends to eat.

yes

3 0
3 years ago
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A rubber ball has a radius of about 2.86 in. Can the ball be packaged in a box shaped like a cube with a volume of 125 in3?
Vlada [557]

Answer:

I am not sure what the values needed to add in / etc, but here is the height of the box: 5

Step-by-step explanation:

A cube is a kind of rectangle where all the sides are the same. So to find volume, cube the length of any side. To find height, calculate the cube root of a cube's volume. For this example, the cube has a volume of 125. The cube root of 125 is 5. The height of the cube is 5.

(hopefully this is correct, have a nice day!)

6 0
3 years ago
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