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Mandarinka [93]
3 years ago
10

Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would

it take for Bobby to run 33 miles?
Mathematics
1 answer:
german3 years ago
8 0

Answer:

In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.

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3 years ago
I need help! Will mark Brainliest for full answer!!!
Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

y=\frac{k}{x}=\frac{72}{7.8}=9.2 to the nearest tenth

Hope this helps :)

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4 years ago
Find the slope of the line that passes through the pair of points.<br><br> (–5.5, 6.1), (–2.5, 3.1)
hjlf

Slope of the line is -1.

Step-by-step explanation:

Given points are,

(-5.5,6.1),(-2.5,3.1)

Here,

x_{1} = -5.5 ,\ \ \ x_{2}=-2.5\\y_{1} = 6.1,\ \ \ y_{2}=3.1

Slope = m = \frac{y_{2}-y_{1}}{x_{2}-x{1}}

Putting values;

m=\frac{3.1-6.1}{-2.5-(-5.5)}\\m=\frac{-3}{-2.5+5.5}\\m=\frac{-3}{3}\\m=-1

Slope of the line is -1.

Keywords: Slope, line

Learn more about slopes at:

  • brainly.com/question/2977815
  • brainly.com/question/3071107

#LearnwithBrainly

7 0
3 years ago
What's 6/7 written as a fraction with a denominator of 42? A. 36/42 b. 7/42 c. 42/42 d. 6/42
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Answer:

A. 36/42

Step-by-step explanation:

What do you multiply 7 by to get 42?

6. That is what the denominator was multiplied by, and so, the equivalent fraction must have a numerator that is 6 times larger than the original.

6 is the numerator so the numerator of the equivalent fraction with denominator 42 must be 36 since 6 * 6 = 36/

A. 36/42

4 0
4 years ago
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