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Travka [436]
3 years ago
11

Milan puts 1/4 of her lawn mowing money savings and uses 1/2 of the remaining money to pay back her sister.If she has 15$ left,

how much did she have at first?
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

$40

Step-by-step explanation:

Let the amount of money she has at first be $x.

She put 1/4 for savings, this means she decides to spend 3/4. The 3/4 is equivalent to (3/4)x

Now, she puts half of the money not saved to pay back her sister and has $15 left.

This means the (3/4)x is equivalent to $30. This is because she used half which is $15 to pay back her sister.

Now, since (3/4)x equals 30, we calculate x

(0.75)x = 30

x = 30/0.75 = $40

She originally had $40

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer
Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}

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2 years ago
You are part of a rowing team. Every 1, miles you stop to take a drink of water. How many times will you stop to drink water if
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Step-by-step explanation:

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2 years ago
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The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,
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For this case we have the following quadratic functions:

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Cost: 3x ^ 2 - x + 200

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Substituting values we have:

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Answer:

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Answer:

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Step-by-step explanation:

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We can see that this line of best fit is increasing, so our correlation coefficient will be positive.

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