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sergij07 [2.7K]
1 year ago
12

Percent word problems Problem Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60\%60%60, p

ercent of the profit because the lemonade stand was his idea. They made a profit of \$25$25dollar sign, 25. How much money did Matthew make?
Mathematics
1 answer:
Tanzania [10]1 year ago
4 0

Answer:

15 dollars.

Step-by-step explanation:

That would be 60% of 25

= 25 * 0.6

= 15 dollars.

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A company that makes fleece clothing uses fleece produced from two farms, Northern Farm and Western Farm. Let the random variabl
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Answer:

i think its D. C. or E. I'm not that great in math im kind of struggling thru it

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1 year ago
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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0
2 years ago
∠C and ​ ∠D ​ are vertical angles with  m∠C=−x+26 and  m∠D=2x−10 .   What is m∠D ?
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Vertical angles are made by two intersecting lines .and they are always equal
<span>∠C and ​ ∠D are equal.
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x=12</span>°

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3 0
2 years ago
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Evaluate. 58−(14)2=58-142= ________
nasty-shy [4]

For this case we have the following expression:

58- (14) ^ 2

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Then, the second step is to subtract both resulting numbers:

58- (14) ^ 2 = -138

We observe that the result obtained is a negative number.

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7 0
1 year ago
Evaluate 8a-1+0.5b8a−1+0.5b8, a, minus, 1, plus, 0, point, 5, b when a=\dfrac14a=
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Step-by-step explanation:

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The final step is to add the numbers. Therefore, you get the following answer:

=6

7 0
2 years ago
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