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3 years ago

Charlie runs 2 laps in 8 minutes. How many minutes will 9 laps take him?

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer:

36 minutes

Step-by-step explanation:

We can write a ratio

2 laps 9 laps

------------- = --------------

8 minutes x minutes

Using cross products

2x = 8*9

2x = 72

Divide by 2

2x/2 = 72/2

x = 36 minutes

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He is paid a commission of 9 percent of his first $6,000 in sales during the month and 14 percent on all sales over $6,000. What

Agata [3.3K]

Answer:

$1,956.80

Step-by-step explanation:

For amounts over $6000, the commission can be computed as ...

0.14s -300 . . . . . . for sales (s) ≥ 6000

So, for $16,120 in sales, the commission is ...

0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80

The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.

0.14(s -6000) + 0.09(6000)

= 0.14s - 0.14·6000 +0.09·6000

= 0.14s -300 . . . . the formula used above for s ≥ 6000

6 0

2 years ago

Angela and you are painting a room. Angela has 2 1/2 gallons of blue paint and Ryou has half as much white paint. It will take 2

GREYUIT [131]

Conversion from gallons to quarts

1 gallon = 4 quarts

Now,

Angela has $2 \frac{1}{2}$ gallons = $2\frac{1}{2} *4$ = 10 quarts of blue paint

Ryou has 1/2 of what Angela has = 1/2*10 = 5 quarts of white paint.

Each wall requires $2 \frac{3}{4}$ of paint.
After coloring;
Blue colored walls = (10)/( $2 \frac{3}{4}$ ) = 3 walls with 7/11 quarts of paint remaining.
White colored walls = (5)/( $2 \frac{3}{4}$ ) = 1 wall with 9/11 quarts of paint remaining

6 0

3 years ago

If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of

seropon [69]

Answer:

0.347

Step-by-step explanation:

n = 3

p = 1/6

r = 1

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

P = ₃C₁ (1/6)¹ (5/6)³⁻¹

P = 0.347

Or, using a calculator:

P = binompdf(n, p, r)

P = binompdf(3, 1/6, 1)

P = 0.347

7 0

3 years ago

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

rewona [7]

Answer:

C and H

Explanation:

All others are not the same shape, they tend to be pointing in different directions.

7 0

1 year ago

Read 2 more answers

Simplify completely****

andreyandreev [35.5K]

Answer:

$\displaystyle \frac{x + 7}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{x^2 + 12x + 35}{3x + 15}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}$
[Fraction] Factor denominator: $\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}$
[Fraction] Divide: $\displaystyle \frac{x + 7}{3}$

4 0

3 years ago