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frutty [35]
3 years ago
12

latoya is going for a run. she runs at a speed of 6 miles per hour for 9.6 miles. for how many hours does she run?

Mathematics
1 answer:
LenKa [72]3 years ago
7 0
\begin{array}{ccc}6mi&-&1h\\9.6mi&-&xh\end{array}\ \ |cross\ multiply\\\\6x=1\cdot9.6\\\\6x=9.6\ \ \ |divide\ both\ sides\ by\ 6\\\\\boxed{x=1.6\ (h)}
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The perimeter of a rectangle is 182 ft. The width is two more feet than the length . Find the length and width.
Kamila [148]

Let's call the width w and the length l based on this, we can make two equations based on the first and second sentences in the problem.

w = l + 2

2l + 2w = 182


If we substitute l + 2 for w into the second equation, we can make the following:

2l + 2(l + 2) = 182

  • Substitute

2l + 2l + 4 = 182

  • Use the Distributive Property

4l + 4 = 182

  • Combine like terms

4l = 178

  • Subtract 4 from both sides

l = \dfrac{178}{4} = \dfrac{89}{2}

  • Divide both sides by 4 and simplify

Now, let's find w:

w = l + 2 = \dfrac{89}{2} + 2 = \dfrac{93}{2}


The length of the rectangle is \boxed{\dfrac{89}{2} \,\textrm{ft}} and the width of the rectangle is \boxed{\dfrac{93}{2} \,\textrm{ft}}.

5 0
3 years ago
PLEASE Help mE wiTh the two QUESTIONS
babymother [125]

Answer:

the coefficient 2 is the slope (each coordinate is 2 units up and 1 unit right from the previous unit)

the constant 3 is the y-intercept (0, 3)

Step-by-step explanation:

7 0
3 years ago
How to rename fraction
frosja888 [35]

Identify the improper fraction. The improper fraction will have a higher number on top than on the bottom. For example, 7/4.Divide the top number, or numerator, by the bottom number, the denominator, to determine how many times the denominator fits into the numerator. In the 7/4 example, the denominator fits in one time, leaving three left over.Write the amount of times the denominator fits into the numerator as a whole number. In the 7/4 example, the answer is "1."Display the leftover number as a fraction on the right side of the whole number. In the 7/4 example, the answer is "3/4," since 7 divided by 4 equals 1 with a remainder of 3. The mixed number should look like this: "1 3/4."

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What ratio is equivalent to 8 to 2
Luba_88 [7]

Answer:

16 to 4

Step-by-step explanation:

8 to 2 can be reduced to 4, so to have a ratio equivalent, it must be able to be reduced to 4 also. An example would include, 16 to 4.

3 0
3 years ago
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What's the distance between the two points , ( -3 , -4 ) and ( 4 , 3 ) ?
mixer [17]
Answer: the distance between the two points in Decimal Form is 9.899
3 0
3 years ago
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