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Ksivusya [100]
3 years ago
9

Kori spent $46.20 on 12 gallons of gasoline. what was the price per gallon?

Mathematics
2 answers:
erik [133]3 years ago
4 0
3.85 if you divide the total cost by the number of gallons you should get your answer hope this helped
laiz [17]3 years ago
4 0

All we need to do here is divide $46.20 by 12

46.20 ÷ 12 = 3.85

Therefore, each gallon of gas was $3.85

Hope this helps

-AaronWiseIsBae

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Zarrin [17]

Answer:

4:9

Step-by-step explanation:

  1. Circles: 8
  2. Total shapes: squares + circles
  3. Total shapes: 10 + 8
  4. Total shapes: 18
  5. Circles : Total shapes = 8:18
  6. 8:18 = 4:9

I hope this helps!

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3 years ago
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Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
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Answer:

The answer is below

Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.

Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A

\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA

7 0
3 years ago
In baseball, a player pitches a ball from the mound to a catcher behind the plate. A pitch that passes over the plate above the
matrenka [14]

To solve this question, you just need to count all the probability of the options.

The probability that a pitch not over the plate is a strike is zero. So, P(A | D) = 0.

True. It is 0/0+20= 0

The probability that a pitch not over the plate is a ball is 1. So, P(B | D) = 1.

True, it is 20/20+0= 1

The probability that a pitch over the plate is a strike is 10:15. So, ...

Incomplete but it sounds to be true. It should be 10/10+5= 10/15 = 2/3

The probability that a pitch over the plate is a ball is 5:10. So, P(B | C) = 0.5.

7 0
3 years ago
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This equation is an example of:
mariarad [96]

Answer:

B. FOIL

Step-by-step explanation:

FOIL stands for Firsts, Outsides, Insides, and Lasts

This is a mnemonic to help you to remember how to multiply two binomials

From the image, we can see that the on the right side of the equals,

(x)(-5x^2) is the product of the <u>firsts</u> of the binomials

(x)(x) is the product of the <u>outsides</u> of the binomials

(-2)(-5x^2) is the product of the <u>insides</u> of the binomials

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In a rock-paper-scissors game, a winner gets 5 points and a loser gets 2 points. After a man played this game 20 times, his tota
aleksandr82 [10.1K]

Answer:

The man wins 9 times and looses 11 times in the rock - paper-scissor game.

Step-by-step explanation:

Let us assume that in the game:

Number of times  man wins the games = x times

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Total number of attempts = 20

Points after winning = 5

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Now, according to the question:

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and 5 x + 2 y = 67

Now, from (1) y = 20-x,     put in (2)

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or, 5x -2x = 67 - 40

or, 3x = 27

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then y = 20 - x = 20 - 9 = 11

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Hence, the man wins 9 times and looses 11 times in the rock - paper-scissor game.

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