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3 years ago

A sprinter can run 279 feet in 9 seconds. Find the sprinter's unit rate of feet per second.

Mathematics

1 answer:

TiliK225 [7]3 years ago

5 0

Easy 31 feet per second take 279 and divide it by 9 and you get 31

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Which of the following values of y makes the equation 4y squared - 7y = 15 true?

uranmaximum [27]

Answer:

C) y=3

Step-by-step explanation:

4y squared - 7y = 15

4(3) squared -7(3)=15

4(9) -7(3)=15

39-21=15

15=15

7 0

2 years ago

Factor the expression f^2+10f+16

denis-greek [22]

Answer: (f + 2) (f + 8)

It's hard to explain, but I suggest you use the AC method. Hope this helps!

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3 years ago

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What is the approximate distance between points A and B?

Aleks04 [339]

Answer:

$\displaystyle d \approx 7.62$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(1, 4)

Point B(-2, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [DF]: $\displaystyle d = \sqrt{(-2-1)^2+(-3-4)^2}$
(Parenthesis) Subtract: $\displaystyle d = \sqrt{(-3)^2+(-7)^2}$
[√Radical] Exponents: $\displaystyle d = \sqrt{9+49}$
[√Radical] Add: $\displaystyle d = \sqrt{58}$
[√Radical] Evaluate: $d = 7.61577$
Round: $\displaystyle d \approx 7.62$

3 0

3 years ago

a drink is made by mixing pineapple juice orange juice and lime juice in the ratio 2:7:3 Sally makes 600ml of the fruit drink ho

satela [25.4K]

Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

$2x+7x+3x=600 \\
12x=600 \\
x=50 \\ \\
pineapple \ juice \to 2x = 2 \times 50=100$

She used 100 ml of pineapple juice.

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3 years ago

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Juliette [100K]

Https://www.algebra.com/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C=45%29

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3 years ago