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pychu [463]
3 years ago
15

4x-10+1.5x-4x+11=8.5-6

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

4x-10+1.5x-4x+11=8.5-6

Combine like terms

1.5x+1=2.5

Subtract 1 from each side

1.5x+1-1=2.5-1

1.5x = 1.5

Divide by 1.5

1.5x/1.5 = 1.5/1.5

x=1

statuscvo [17]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

Given :

4x-10+1.5x-4x+11=8.5-6

4x+1.5x-4x=8.5-6-11+10

1.5x=1.5

x=1

Value of x=1

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Heidi is preparing for the national gymnastics competition. the table below shows the number of hours Heidi spent preparing for
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To answer the problem above, we first need to know the difference in hours.
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The answer is C. Linearly, because the table shows that hours increase by an equal factor for an equal increase in months. which is 1.5 hours per month.
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3 years ago
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
bagirrra123 [75]

Answer:

27\pi \ cm^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=6\ cm

substitute

A=\pi (6)^{2}=36 \pi\ cm^{2}

Remember that a central angle of 360\° subtends for the area of a complete circle

so

by proportion

Find the area of the circle for a central angle of 270\°

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5 0
3 years ago
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Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after t
lesantik [10]

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

<h3>How to determine the total length?</h3>

The given parameters are:

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  • Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

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6 0
2 years ago
1. m+ 10&lt; 16
sleet_krkn [62]

Answer:

1.\ m

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

m+ 10< 16\\ m+ 10-10< 16-10\\m

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4

3. Add 22 to both sides. Then:

y-22< 19\\ y-22+22

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b

5. Subtract 30 from both sides. Then:

h+30

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

-5x

7. Subtract 13 from both sides. Then:

t+13>22\\ t+13-13>22-13\\t>9

8. Add 12 to both sides. Then:

w-12< 16\\ w-12+12

7 0
3 years ago
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