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2 years ago

10

Franklin rode his bike 6 5/6 miles on Tuesday. He also rode his bike 5 5/6 miles on Thursday. What is the difference between the

distances he rode his bike

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

The difference = miles rode on Tuesday - miles rode on Thursday.
6 5/6 - 5 5/6 = 1 mile

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What kind of probability is being used when one calculates the probability that a randomly selected adult who works from home an

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The kind of probability is being used when one calculates the probability that a randomly selected adult who works from home and has a bachelor's degree or higher is <em>relative frequency.</em> This probability is based on actual measurements, like a survey. Using this method will enable us to calculate for the probability of each variable occurring, or a combination of two or more variables with respect to the number of trials in the sample.

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2 years ago

What is the slope of the line shown?

professor190 [17]

Answer:

1/2

Step-by-step explanation:

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(2,0) and (4,1)

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Read 2 more answers

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

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2 years ago

At an opening of a new art gallery the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to

Vsevolod [243]

Answer: $357 is more amount budgeted for food increase.

Explanation:

Since we have given that

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Cost of food per person= $4.25

Total cost of food is given by

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If the number of guests attending the opening was 56% more than expected,

So, number of guests now is given by

$150\times 0.56=84\\\\150+84=234$

Total cost of food is given by

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Difference between them is given by

$994.5-637.5=\$357$

Hence, $357 is more amount budgeted for food increase.

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Afina-wow [57]

Answer:

-10

Step-by-step explanation:

(1/5)x+4=2

5(1/5)x+4=2)

x+20=10

x = -10

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2 years ago