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Luba_88 [7]
3 years ago
12

Solve the inequality: 2[(2y-1)+y] less than or equal to 5(y+3)

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0
2[(2y-1)+y]\leq5(y+3)\\\\2(2y-1+y)\leq5(y+3)\\\\2(3y-1)\leq5(y+3)\ \ \ |use\ distributive\ property:a(b\pm c)=ab\pm ac\\\\2(3y)-2(1)\leq5(y)+5(3)\\\\6y-2\leq5y+15\ \ \ |add\ 2\ to\ both\ sides\\\\6y\leq5y+17\ \ \ \ |subtract\ 5y\ from\ both\ sides\\\\\huge\boxed{y\leq17\to y\in(-\infty;\ 17]}
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Mandy Lee is making a sandbox for her children. She has made a wooden frame for her backyard that is 7 feet long, 6 feet wide, a
Westkost [7]

Answer:

Andrea is making a sandbox.She has made a wooden frame in her backyard that is 6 feet long, 6 feet wide, and 2 feet deep. She can purchase sand for $30 per cubic meter. How much will it cost for her to purchase sand? Hint: 1 foot equals 0.3048 meters.

Step-by-step explanation:

6 0
3 years ago
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Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we
lord [1]

Answer:

b. 8,800,000.

Step-by-step explanation:

In maria study the number of cars on the road increases by 10% each year.

Total number of cars in the first year =80 million cars.

We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.

For year 2 we have;

10% of 80,000,000+80,000,000

\frac{10}{100}*80,000,000+80,000,000

8,000,000 + 80,000,000

88,000,000

number of cars in year 2 = 88 million

We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.

\frac{10}{100}*88,000,000+88,000,000

8,800,000+88,000,000

96,800,000

the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000

<em>or simply subtract the number of cars in year 2 from that in year 3;</em>

96,800,000-88,000,000 = 8,800,000

8 0
3 years ago
Read 2 more answers
90.5 rounded to the nearest one
sladkih [1.3K]

Answer:

91

Step-by-step explanation:

90.5 needs to be a whole number, and if it ends in 5 you round it up

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3 years ago
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How many solutions does 2x+2-3x=3x-4
DerKrebs [107]

Answer:

1 solution (x = 1.5)

Step-by-step explanation:

2x + 2 - 3x = 3x - 4

First, combine like terms

2 - x = 3x - 4

Add 4 to both sides

6 - x = 3x

Add x to both sides

6 = 4x

Divide both sides by 4

1.5 = x

4 0
3 years ago
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If their is 300 unicorns and 200 dragons and 50 dragons fly away then 30 unicorns walk away how many are of each left?
Lilit [14]

Answer:

If 30 unicorns out of 300 walk away then it will be 300-30=270 unicorns left.

If 50 dragons fly away out of 200 then it will be 200-50=150.

Therefore there are 270 unicorns and 150 dragons left.

I hope this helps you...Thank you...

7 0
3 years ago
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