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Lera25 [3.4K]
3 years ago
6

Shayna ran 6 miles in one week this was 1/3 of what she ran in a month write and solve a division equation to find how far she r

an in a month
Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

Shana ran 18 miles in a month

Step-by-step explanation:

Shana ran 6 miles in one week. This was 1/3 of what she ran in a month

Let x be the miles she ran in a month

 1/3 one third of miles she ran in a month is 6 miles

Now we solve for x

To solve for x  , we multiply 3 on both sides

1x= 18

so x= 18

So Shana ran 18 miles in a month


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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
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Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

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11 months ago
Explain how multiplying fractions is similar to multiplying whole numbers and how it is different
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3 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

We are told that, of the 50 states, 4 have names that start with letter W, and to figure out what percentage of U.S. states have names that start with the letter W, we need to know what what 4 is what percent of 50.

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