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kicyunya [14]
3 years ago
12

What is the value of x? 3(-9 - 4x) - 4= 8x - 9(x + 12)

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0

Answer:

x=7

Step-by-step explanation:

3(-9 - 4x) - 4= 8x - 9(x + 12)

distribute

-27-12x-4=8x-9x-108

combine like terms

-31-12x=-x-108

add x to both sides

-31-12x+x-108

add 31 to both sides

-12x+x=-108+31

combine like terms

-11x=-77

divide both sides by -11

x=7

Gemiola [76]3 years ago
5 0

Answer:

x=7

Step-by-step explanation:

uhhh yes

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Given the<br>the sequence 3 + 8 +13.<br>obtain the common difference​
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Answer:

d = 5

Step-by-step explanation:

The difference between consecutive terms is

13 - 8 = 8 - 3 = 5 ← common difference d

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It’s A or B lmk :))))
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3 years ago
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Emily leaves her house at exactly 8:25 a.m. to bike to her school, which is 3.42 miles away. When she passes the post office, wh
mafiozo [28]
First, let's find out the number of minutes Emily has to get to school. From 8:25 to 8:50, there are 25 minutes.

Next, let's find out  the number of minutes before Emily looks at her watch. From 8:25 to 8:28.50, there are 3.5 minutes.

Now let's calculate Emily's speed in miles per minute. To do so, divide the distance traveled by the time it took:

\frac{0.75}{3.5} miles/minute

Now let's calculate how far Emily can travel in 25 minutes going this speed. To do so, we multiply her speed by the time traveled:

\frac{0.75(25)}{3.5} =5.357 miles

5.357 miles is greater than 3.42 miles, so yes, Emily will make it to school on time.


8 0
3 years ago
Nicole wants to know the height of the snow sculpture but its too tall to measure. Nicole measured the shadow of the snow sculpt
NeX [460]

Answer:

15 feet.

Step-by-step explanation:

We have been given that Nicole measured the shadow of the snow sculptures highest point to be 10 feet long. At the same time of day Nicole's shadow was 40 inches long. Nicole is five feet long.

We will use proportions to solve our given problem as proportions states that two fractions are equal.

\frac{\text{The height of the snow sculpture}}{\text{The Height of shadow of snow sculpture}}=\frac{\text{Nicole's height}}{\text{Height of Nicole's shadow}}

Let us convert given measurements from feet to inches.

1 feet = 12 inches.

10 feet = 10*12 inches = 120 inches.

5 feet =5*12 = 60 inches

\frac{\text{The height of the snow sculpture}}{120}=\frac{60}{40}

Let us multiply both sides of our equation by 120.

\frac{\text{The height of the snow sculpture}}{120}*120=\frac{60}{40}*120

\text{The height of the snow sculpture}=60*3

\text{The height of the snow sculpture}=180

So the height of the snow sculpture is 180 inches. Let us convert our final answer to feet by dividing 180 by 12.

\text{The height of the snow sculpture}=\frac{180\text{ inches}}{12}\times \frac{\text{feet}}{\text{inches}}

\text{The height of the snow sculpture}=\frac{180\text{ inches}}{12}\times \frac{\text{feet}}{\text{inches}}

\text{The height of the snow sculpture}=15\text{ feet}

Therefore, the height of the snow sculpture is 15 feet.

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3 years ago
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