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Marizza181 [45]
3 years ago
6

han exit showed that 7 out of every 8 voters cast a ballotin favor of an amendment to a city charter. at this rate, how many peo

ple voted in favor of the amendment if 298,000 people voted????
Mathematics
1 answer:
stepladder [879]3 years ago
4 0

298000  \div 8 = 37250 \\ 37250 \times 7 = 260750
260,750 voters cast a ballot in favor.
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How do you solve 5x-2x+6x+40-9+1-x+3x-8+15+7
Aleonysh [2.5K]

5x-2x+6x+40-9+1-x+3x-8+15+7

First you would combine like terms:

5x - 2x + 6x - x + 3x = 11x and

40 - 9 + 1 - 8 + 15 + 7 = 46, so the simplified expression would be

11x + 46

3 0
3 years ago
Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using p=x^2+10x-12 where x is
Elis [28]
I entered the equation into a graphing calculator. clicked table and then scrolled down to the profit of $3,563. 55 skateboards
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3 0
3 years ago
The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

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Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

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Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
The base of a 50-ft ladder that is leaning against a building is placed 35 ft away from the bottom of a building. What angle doe
Andreas93 [3]
46 degrees! use inverse cosine

7 0
3 years ago
Ms Sherman is preparing 5 and 5/8 cups of rice for his family reunion. She plans to use 1/4 of a cup for each serving. How many
Temka [501]

5 5/8  as an improper fraction

(8*5 +5) /8 = 45/8

45/8 divided by 1/4 =

copy dot flip

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22 1/2

She has 22 1/2 servings

4 0
3 years ago
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