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1 year ago

15

A farmer plows a corn field in the shape of a rectangle that has an area of 15840 square yards if the length of the field is 132

yards what is the width of the field

1 answer:

igomit [66]1 year ago

5 0

Answer:

<u>Width= 120</u>

<u />

Step-by-step explanation:

We know that <u>L*W= A</u>

So lets put in the variables we know into the equation.

<u>L= 132 yards</u>

<u>A= 15840</u>

132 * W= 15840

All we need to do is <u>divide 15840 by 132</u>

<u>15840/132= 120</u>

<u>W=120</u>

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The store sells a 9 ounce jar of mustard for $1.53 and a 15 ounce for $2.55 explain whether the cost of the mustards have the sa

astraxan [27]

Answer:

same amount of money

Step-by-step explanation:

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1 year ago

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

jarptica [38.1K]

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

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Dan value=( 5000/5)*3=3000

Step-by-step explanation:

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1 year 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) <u>Find the height of the cone before the storm</u>

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) <u>Find the volume before the storm</u>

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

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

3) <u>Find the volume after the storm</u>

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

so

r=(56/3) ft

h=(33/3)=11 ft

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

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

<u>4) Find how this change affect the volume of the pile</u>

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

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

therefore

<u>the answer part a) is</u>

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

<u>Part b)</u> Estimate the number of lane miles that were covered with salt

5) <u>Find the amount of salt that was used during the storm</u>

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

6) <u>Find the pounds of road salt used</u>

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

7) <u>Find the number of lane miles that were covered with salt</u>

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

therefore

<u>the answer part b) is</u>

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

<u>Part c) </u>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) <u>Find the pounds of road salt </u>

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

9) <u>Find the number of lane miles </u>

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

therefore

<u>the answer part c) is</u>

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

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2 years ago

Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?

melamori03 [73]

Answer: let the common multiple be x..

according to given condition,

2x + x +x =36

4x = 9

Peter = 2x = 2 ×9 = £18

Gordon = Gavin = x = £9

Hope this helps have a amazing day bye!

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1 year ago

What is the final amount if 865 is decreased by 16% followed by a 14% increase?

Harman [31]

Answer:

828.32

Step-by-step explanation:

865 x (1 - 0.16) x (1 + 0.14) = 828.32

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2 years ago