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2 years ago

It took Khalid 90 minutes to complete 40 tasks. Which answer choice is an equivalent rate?

Mathematics

2 answers:

miv72 [106K]2 years ago

4 0

Answer:

Step-by-step explanation:

90/40 is 2.25, so each task takes 2.25 minutes. Therefore, 10 tasks takes 22.5 minutes.

Kruka [31]2 years ago

3 0

Answer:

10 tasks in 22.5 minutes

Step-by-step explanation:

90/40

= 2.25 tasks/minute

22.5/10

= 2.25 tasks/minute

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• Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.

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2 years ago

A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th

QveST [7]

we know that

the volume of a cone is equal to

$V= \frac{1}{3} \pi r^{2}h$

in this problem

the radius is equal to

$r= \frac{112}{2}= 56ft$

1) Find the height of the cone before the storm

Applying the Pythagorean Theorem find the height

$h^{2} = l^{2}-r^{2}$

$l=65 ft$

$h^{2} = 65^{2}-56^{2}$

$h^{2} = 1,089$

$h=33 ft$

2) Find the volume before the storm

$V= \frac{1}{3}*\pi* 56^{2}*33$

$V=34,496\pi\ ft^{3}$

3) Find the volume after the storm

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

r=(56/3) ft

h=(33/3)=11 ft

$V= \frac{1}{3}*\pi* (56/3)^{2}*11$

$V= 1,277.63\pi\ ft^{3}$

4) Find how this change affect the volume of the pile

Divide the volume after the storm by the volume before the storm

$\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}$

therefore

the answer part a) is

The volume of the pile after the storm is $\frac{1}{27}$ times the original volume

Part b) Estimate the number of lane miles that were covered with salt

5) Find the amount of salt that was used during the storm

$=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}$

6) Find the pounds of road salt used

$104,358.59*80=8,348,687.2\ pounds$

7) Find the number of lane miles that were covered with salt

$8,348,687.2/350=23,853.39 \ lane\ miles$

therefore

the answer part b) is

the number of lane miles that were covered with salt is $23,853.39 \ lane\ miles$

Part c) How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to $1,277.63\pi\ ft^{3}$

$1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}$

8) Find the pounds of road salt

$4,013.79*80=321,103.20\ pounds$

9) Find the number of lane miles

$321,103.20/350=917.44 \ lane\ miles$

therefore

the answer part c) is

the number of lane miles is $917 \ lane\ miles$

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2 years ago

In a café, drinks are priced according to what size they are.

Andrei [34K]

A) Gavin’s drinks altogether cost £9.00
1.50+2.50x3
=1.50+7.50
=£9.00
b) Lian gets back £3.50
1.50+2.00+3.00
=6.50

10.00-6.50=£3.50

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2 years ago

When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup ca

lyudmila [28]

This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape. If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h

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2 years ago

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If ab = 5 and a² + b² = 25, then (a + b)² =

prisoha [69]

Answer:

100

Step-by-step explanation:

because 5+5=10

the 10^2=10*10=100

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2 years ago

Read 2 more answers