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cestrela7 [59]
2 years ago
7

7/12 of the books in simone's library are. 3/12 of the books in simone's library are historical fiction. what fraction of the bo

oks in simone's library are either mysteries or historical fiction
Mathematics
1 answer:
vova2212 [387]2 years ago
6 0

Answer:

16%
2/12

Step-by-step explanation:

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Solve the system of linear equations below. 2x + 3y = 2 x + 6y = 4 x........A.X=0, y =2/3..B..x =2, y = -2/3...C..x=4/3, y=2/9..
Bogdan [553]
I will solve your system by substitution.<span><span><span><span>2x</span>+<span>3y</span></span>=2</span>;<span><span>x+<span>6y</span></span>=<span>4x</span></span></span>Step: Solve<span><span><span>2x</span>+<span>3y</span></span>=2</span>for x:<span><span><span><span>2x</span>+<span>3y</span></span>+<span>−<span>3y</span></span></span>=<span>2+<span>−<span>3y</span></span></span></span>(Add -3y to both sides)<span><span>2x</span>=<span><span>−<span>3y</span></span>+2</span></span><span><span><span>2x</span>2</span>=<span><span><span>−<span>3y</span></span>+2</span>2</span></span>(Divide both sides by 2)<span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>Step: Substitute<span><span><span><span>−3</span>2</span>y</span>+1</span>forxin<span><span><span>x+<span>6y</span></span>=<span>4x</span></span>:</span><span><span>x+<span>6y</span></span>=<span>4x</span></span><span><span><span><span><span><span>−3</span>2</span>y</span>+1</span>+<span>6y</span></span>=<span>4<span>(<span><span><span><span>−3</span>2</span>y</span>+1</span>)</span></span></span><span><span><span><span>92</span>y</span>+1</span>=<span><span>−<span>6y</span></span>+4</span></span>(Simplify both sides of the equation)<span><span><span><span><span>92</span>y</span>+1</span>+<span>6y</span></span>=<span><span><span>−<span>6y</span></span>+4</span>+<span>6y</span></span></span>(Add 6y to both sides)<span><span><span><span>212</span>y</span>+1</span>=4</span><span><span><span><span><span>212</span>y</span>+1</span>+<span>−1</span></span>=<span>4+<span>−1</span></span></span>(Add -1 to both sides)<span><span><span>212</span>y</span>=3</span><span><span><span><span>212</span>y</span><span>212</span></span>=<span>3<span>212</span></span></span>(Divide both sides by 21/2)<span>y=<span>27</span></span>Step: Substitute<span>27</span>foryin<span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span>:</span><span>x=<span><span><span><span>−3</span>2</span>y</span>+1</span></span><span>x=<span><span><span><span>−3</span>2</span><span>(<span>27</span>)</span></span>+1</span></span><span>x=<span>47</span></span>(Simplify both sides of the equation)Answer:<span><span>x=<span><span><span>4/7</span><span> and </span></span>y</span></span>=<span>2/<span>7 
is what i got sorry if it don't help</span></span></span>
3 0
3 years ago
Brian parked in a parking garage 4 floors under ground. Herode an elevator up 17
Law Incorporation [45]

Answer:

Floor ride up to = 13 floor

Step-by-step explanation:

Given:

Parking garage = 4 floors under ground

Elevator up-to = 17 floor

Find:

Floor ride up to

Computation:

Floor ride up to = Elevator up-to - Parking garage

Floor ride up to = 17 floor - 4 floor

Floor ride up to = 13 floor

7 0
2 years ago
Bicycle Inc. rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours, h, did she rent the bike?
N76 [4]

Answer:

She spent 8 hours with the bike. She did rent the bike.

Step-by-step explanation:

The $11 fee is only a one time payment. The $5 is every hour so 5x8 is 40+11 is 51.

5 0
3 years ago
Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile
Olenka [21]

Answer:

1\frac{9}{91}\ hours

Step-by-step explanation:

we know that

30 and one-third miles is equal to

30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi

one-third of an hour is equal to

\frac{1}{3}\ h

Applying proportion

\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h

Convert to mixed number

\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h

8 0
3 years ago
Read 2 more answers
What is y= 29/5x as a rate of change
mylen [45]
The rate of change is -29/5x^2
8 0
3 years ago
Read 2 more answers
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