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fgiga [73]
3 years ago
7

The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table.

Mathematics
1 answer:
Shalnov [3]3 years ago
7 0

Answer:

Option C is correct.

A = 2\frac{3}{4} miles.

Step-by-step explanation:

Find the missing quantities in a ratio table where a total is given,

first determine the unit rate from the ratio of two given quantities and use it to find the missing quantities in each equivalent ratio.

Find the constant rate;

We can  use the row that gives both quantities, not the total.

\frac{7}{3\frac{1}{2} } = \frac{7}{\frac{7}{2} } =\frac{7 \times 2}{7} = 2

Now, we write the equation of relationship:

B'= 2R where B' is the distance Biked (in miles) and R is the distance Run(miles)

To find the missing value of A;

using above relationship;

5\frac{1}{2} =2 \times A

\frac{11}{2} = 2A

Divide both sides by 2 we get;

\frac{11}{2 \times 2} =A

Simplify:

A =\frac{11}{4} = 2\frac{3}{4} miles.

Similarly; find the missing value of B;

Using above relationship;

B = 2 \times 2\frac{1}{8} = 2 \times \frac{17}{8}

Simplify:

B = \frac{17}{4} =4\frac{1}{4}

Therefore, the value of A=2\frac{3}{4} miles.


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60 copies

Step-by-step explanation:

first you take 1/6th of the original 90 copies which is 15 and subtract that from the 90, you are left with 75 copies which is how many they had left at the end of yesterday. then you take 1/5th of the 75 copies that are left which is also 15 and you subtract that from 75 and you get 60. that's why at the end of today there are 60 copies left.

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A NASA mathematician used a system of equations to determine the point in space where a satellite crossed paths with a massive p
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The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis.

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Tina got a haircut, and her hair is still at least 15 inches long, write and graph an inequality​
ivanzaharov [21]

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6 0
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Find the second decile of the following data set 24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51 D2 =
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Answer:

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Step-by-step explanation:

given is a data set as

24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51

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Arranging in ascending order we get

14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

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Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

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Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

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