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ki77a [65]
3 years ago
5

A crane cable can support a maximum load of 17,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for

every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.
Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
We can set up a model for this problem

4000 + 1500x = 17,000
1500x + 4000 = 17,000

Now solve for x

1500x + 4000 =  17000
1500x + 4000 - 4000=  17000 - 4000
1500x = 13000
1500x /  1500 = 13000 / 1500
x =  \frac{26}{3}





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The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

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a = 400 yd^2</span>

4 0
3 years ago
Will give brainless whatever that means. Due today. The radius of a basketball is 10 inches, and the radius of a soccer ball is
Helen [10]

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

7 0
3 years ago
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Kisachek [45]

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Step-by-step explanation:

4 0
3 years ago
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vichka [17]

Answer:

$30341.88

Step-by-step explanation:

Because it says simple interest, use the formula I = Prt.

(I is interest, r is the % rate as a decimal, t is the time)

So, you have to solve the equation,

1755 = P (0.065)(9)

Since 0.065 x 9 = 0.585, the equation can be simplified to

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Then, to get P, you divide both sides by 0.585

P = 1755/0.585 = $30341.88

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