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Alexandra [31]
3 years ago
7

Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour

while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Mathematics
1 answer:
sveta [45]3 years ago
5 0

2 hrs and 12 min or 2.2 hrs

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zvonat [6]

R=7

I hope that help you! :)

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3 years ago
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What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
hichkok12 [17]

Answer: x=\±2\sqrt{10}

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}

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3 years ago
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A 12 pack of cinnamin scented pencils sells for $3.00 at a school booster club sale .what is the sales tax rate if the total cos
Reptile [31]
7 percent is the sales tax rate
8 0
3 years ago
POSSIBLE POIL
kaheart [24]
The pythagorean theorem is more apt for the problem
8 0
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The total amount spent by some number of people on clothing and footwear In the years 2000-2009 can be modeled by the quadratic
FinnZ [79.3K]

For this problem, we are given a quadratic equation that models the total amount spent on clothing and footwear in the years 2000-2009. We need to use the model to determine the maximum amount spent during the period.

The equation is shown below:

f(x)=-4.462x^2+71.54x+97.44

Since the leading term is negative, the vertex of this function will represent an absolute maximum value. Therefore we can determine the vertex to answer the problem, the vertex's coordinates are given below:

\begin{gathered} x_{max}=\frac{-b}{2a}\\ \\ y_{max}=f(x_{max}) \end{gathered}

Then we have:

\begin{gathered} x_{max}=\frac{-71.54}{2\cdot(-4.462)}=8.017\\ \\ y_{max}=-4.462\cdot(8.017)^2+71.54\cdot(8.017)+97.44=384.2 \end{gathered}

In the year 2008, 384 billion was spent on clothing and footwear.

4 0
1 year ago
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