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2 years ago

Simplify 4 + 2 (3x - 7) + 5x. -3x + 4 11x - 3 11x - 10 23x - 7

Mathematics

1 answer:

N76 [4]2 years ago

7 0

4 + 2(3x - 7) + 5x
Distribute
4 + 6x -14 + 5x
Combine like terms
-10 +11x or 11x - 10

Third option

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24. Demography A city has a population of 71,500. Ten years ago the population

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Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

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1 year ago

Problem 5. A skating rink in the shape shown has an area of

nexus9112 [7]

Answer:

$P=\dfrac{\pi r^2+2800}{r} $ ft$

Step-by-step explanation:

Let the length of the rectangular part =l

The width will be equal to the diameter of the semicircles.

Area of the Skating Rink= $2(\frac{\pi r^2}{2})+(lX2r)$

Therefore:

$\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}$

Perimeter of the Shape =Perimeter of two Semicircles + 2l

$=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}$

The perimeter of the rink is given as:

$P=\dfrac{\pi r^2+2800}{r} $ ft$

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2 years ago

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardize

ozzi

Answer: D) The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.

Step-by-step explanation:

In the table shown, the estimated time for language arts is greater than the estimated time for math. They can answer 25 math questions in 87 minutes, whereas for language arts, they take 88 minutes to answer 20 questions. Therefore, the slope for LA is greater than the slope for Mathematics. Hope this helps :)

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2 years ago

Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54

Klio2033 [76]

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = $\dfrac23$ centimeters on drawing

⇒ 54 actual meters = $54\times\dfrac23$ centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.

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2 years ago

A rectangle has an area of 45m2

lianna [129]

The length is 3m. You do the area(45) divided by the width(15) to hey the length, which is 3.

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2 years ago