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Ilya [14]
3 years ago
12

A stereo is marked down $105. if this is a 25% decrease, find the cost price?

Mathematics
1 answer:
Aneli [31]3 years ago
3 0
Answer:420$
Solution: 105•4= 420$
25%= 1/4 therefore we can find the original price by multiplying the decrease with 4
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Find the unit rate for a runner in miles per hour who runs at a pace of 3/4 mile in 10minutes
yanalaym [24]

Answer:

\large \boxed{\text{4.5 mi/h}}

Step-by-step explanation:

A unit rate is the number of something there is per one unit of something else.

In this question, the unit rate is the number of miles per one hour.

1. Convert minutes to hours

\text{time} = \text{10 min} \times \dfrac{\text{1 h}}{\text{60 min}} = \frac{1}{6} \text{ h}

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\begin{array}{rcl}\text{unit rate} & = & \dfrac{\text{miles}}{\text{hours}}\\\\& = & \dfrac{\frac{3}{4}\text{ mi}}{\frac{1}{6}\text{ h}}\\\\& = &\dfrac{3}{4} \times \dfrac{6}{1}\text{ mi/h}\\\\& = & \dfrac{3}{2} \times\text{3 mi/h}\\\\& = & \textbf{4.5 mi/h}\\\end{array}\\\text{The unit rate is $\large \boxed{\textbf{4.5 mi/h}}$}

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3 years ago
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jok3333 [9.3K]
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8. Find the other endpoint of the segment with a midpoint of (-6, 4) and endpoint of (4, 8).
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Step-by-step explanation:

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2 years ago
Mixed equations. Show work please
Alex_Xolod [135]
<span>
Solving:

1)

-58 - 6x = 42 + 4x 
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>- 6x - 4x = 42 + 58
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10x = - 100
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\boxed{x = - 10}<span>

2)

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</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
<span>5x + 2x = - 33 - 37
7x = - 70
</span>x =  \frac{-70}{7}
\boxed{x = - 10}
<span>
3)

27 - 9x = -6x - 39
</span>Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66
x =  \frac{66}{3}
\boxed{x = 22}
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Alex17521 [72]

Answer:

Step-by-step explanation:

the slope equation is (y2-y1)/(x2-x1)

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3 years ago
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