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3 years ago

Josie is training for a race. The ratio of

Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

The number of minutes that Josie will take is 80 minutes.

Explanation:

Explanation:

Ratio of the number of minutes to the number of miles = $\frac{24}{3}$

Number of miles = 10

Number of minutes = ?

Let x be the number of minutes

According to the question,

$\frac{24}{3} = \frac{x}{10} \\\\x = \frac{240}{3} \\\\x = 80$

Therefore, the number of minutes that Josie will take is 80 minutes.

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What is the slope of the line?

Yanka [14]

Answer:

$m=\frac{4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 0)

Point (3, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute [SF]: $m=\frac{4-0}{3+2}$
Subtract/Add: $m=\frac{4}{5}$

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3 years ago

Estimate it as a whole number

denis-greek [22]

Answer:

Step-by-step explanation:

First, you do the subtraction 120-21.4 which is 98.7. So since you know its x^7, the number isn't going to be big. By guessing and checking, we start with 2. 2^7 is 128. We know that 1^7 would just be 1, so the closest whole number would be two.

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3 years ago

Find the area of the figure.

Hoochie [10]

Answer:

384 cm

Step-by-step explanation:

7.5 x 24 = 180

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16 x 24 = 384

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2 years ago

The sum of two numbers is 300 and the two numbers have a ratio of 20:10.find the larger number

Stolb23 [73]

The larger number is 200. The ratio is 20:10 and 200 + 100 = 300.

4 0

3 years ago

Read 2 more answers

Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s

Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

$h(x) = f(x) + g(x)$ $h(x) = f(x) - g(x)$

$h(x) = \frac{f(x)}{g(x)}$ $h(x) = f(g(x))$

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

$f(x) = 75+ 10x$

The savings function is given as

$s(x) = 85$

The allowance function is given as:

$a(x) = 10(x - 1)$

The new function that combined his savings and his allowances is calculated as:

$f(x) = s(x) + a(x)$

Substitute values for s(x) and a(x)

$f(x) = 85 + 10(x - 1)$

Open bracket

$f(x) = 85 + 10x - 10$

Collect like terms

$f(x) = 85 - 10+ 10x$

$f(x) = 75+ 10x$