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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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Choose the true biconditional statement that can be formed from the conditional statement "If a natural number n is odd, then n2
gregori [183]
The answer 
mathematics rules tell that 
if A and B are two statements that are equivalents, that is also called biconditional statement, or " if and only if " statement

the general signification of <span>biconditional statement and its converse is:
if A, then B and if B then A (the converse), A and B are equivalent statements
</span><span>["If a natural number n is odd, then n2 is odd" and its converse ] does mean
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3 0
3 years ago
If a+11=20 what does a equal
luda_lava [24]

Answer:

a = 9

Step-by-step explanation:

a+11=20

Subtract 11 from each side

a+11-11 = 20-11

a = 9

3 0
3 years ago
The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 6 inche
Iteru [2.4K]

The <em><u>correct answer</u></em> is:

C.4.1 in

Explanation:

We will use a proportion for this problem.

In the first ratio, we have 6 inches: 80 pounds.  This can also be written as 6/80.

For the second ratio, we do not know the length; this is x.  The weight is 55; this gives us x/55.

This makes our proportion

6/80 = x/55

Cross multiplying, we have

6(55) = 80(x)

330 = 80x

Divide both sides by 80:

330/80 = 80x/80

4.125 = x

This means the answer is 4.1.

6 0
3 years ago
Read 2 more answers
15% converted to a fraction then simplified to lowest terms
mojhsa [17]
Percent means parts out tof 100 so 15%=15/100
divide by 5/5
3/20=lowet terms
4 0
3 years ago
Find the length of the arc. Use 3.14 for the value of 7. Round your answer to the nearest tent
nexus9112 [7]

Answer:

15.70

Step-by-step explanation:

2×3.14×10(90÷360)=15.70

4 0
2 years ago
Read 2 more answers
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