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Gala2k [10]
1 year ago
9

3(x-2y)=5(x-3y)+9 write in slope intercept form help!

Mathematics
1 answer:
eimsori [14]1 year ago
5 0

Answer:

y = (2x/9) + 1

Step-by-step explanation:

Solving for y we get 3(-2y+x) = 5(-3y+x)+9

Expand the above we get -6y+3x=5(-3y+x)+9

which is -6y+3x = -15y+5x+9

then 9y = 2x+9

which y = (2x/9) + 1

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Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality rep
AlexFokin [52]

Answer:

x < 2.5

Step-by-step explanation:

Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.

7 0
2 years ago
Read 2 more answers
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300
Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, H_0 : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, H_1 : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

                 T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

           \hat p = percentage of residents who favor construction in a sample of

                  1300 voters = 0.57

           n = sample of voters = 1300

So, Test statistics = \frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }

                              = 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0
3 years ago
Question 1: A ratio of 28 to 12 can be expressed in simplest form as:
vichka [17]
It’s 7:3
Explanation
It’s 7:3 because 28 divided by 4 is 7 and 12 divided by 4 is 3
3 0
3 years ago
A number subtracted from 90 is 3 times that number
OleMash [197]
90-n=3n hope this helps you
7 0
3 years ago
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What type of angle is angle R?<br><br> A. obtuse<br> B. right<br> C. straight<br> D. acute
Viktor [21]

Answer:

A. Obtuse

Step-by-step explanation:

Angle R is greater than 90°.

6 0
2 years ago
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