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noname [10]
3 years ago
13

Find the work done when a crane lifts a ​-pound boulder through a vertical distance of feet. Round to the nearest​ foot-pound.

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

Answer:

72000ft-1b

hope it helps

please mark brainliest

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Melissa used 4 cups of sugar to bake 54 cookies. If she’s only used 1 cup of sugar, what would be an equivalent ratio of cups to
daser333 [38]

Answer:

\frac{2}{27}

Step-by-step explanation:

We have given  that melissa used 4 cups of sugar to bake 54 cookies.

That means 1 cup of sugar will be used to bake \frac{54}{4}=\frac{27}{2} by unitary method

We have to find the ratio of cups to the cookies

We are using 1 cup of sugar

And cookies will be \frac{27}{2}

\text{equivalent ratio}=\frac{1}{\frac{27}{2}}=\frac{2}{27}


3 0
2 years ago
The price of patatoes first increased by 10% and then fell by 8%. Find the net percentage change in the price of patatoes.
timofeeve [1]

Answer:

10%-8%=2

2/8=0.25

0.25×100=25

The net percentage is 25%

6 0
2 years ago
1) What is the solution of the given system?
m_a_m_a [10]

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2


Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

------------------

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5


2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23


Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128


Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115


Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

---------------------

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5





3 0
3 years ago
Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an
balandron [24]
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft

distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
6 0
2 years ago
19 dollars for 5 books
viktelen [127]

Answer:

$3.80 per book

Step-by-step explanation:

I divided 19 by 5 to get the price per book

3 0
3 years ago
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