All categories

2 years ago

Зу - 2(5y - 7) = -9y + 6

Mathematics

1 answer:

Iteru [2.4K]2 years ago

4 0

Answer:

y = -4

Step-by-step explanation:

3y - 2(5y - 7) = -9y + 6 (Given)

3y - 10y + 14 = -9y + 6 (Distribute)

-7y + 14 = -9y + 6 (Add like terms)

2y + 14 = 6 (Add 9y on both sides)

2y = -8 (Subtract 14 on both sides)

y = -4 (Divide 2 on both sides)

You can check by substituting the solution for y:

3(-4) - 2(5(-4) - 7) = -9(-4) + 6

-12 - 2(-20 - 7) = 36 + 6

-12 - 2(-27) = 42

-12 + 54 = 42

42 = 42

You might be interested in

In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur

aksik [14]

Answer:

Step-by-step explanation:

What we have is a general equation that says this in words:

Laura's hours + Doug's hours = 250 total hours

Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:

x + x + 40 = 250 and

2x = 210 so

x = 105

Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!

8 0

2 years ago

What are the coordinates of the midpoint of the line segment with endpoints B(9,−8) and C(2,−5)?

Temka [501]

So midpoint of segment joining B and C is ( 11/2, - 13/2)

6 0

3 years ago

Mike makes 4 dozen cookies. He brings 75% of them for a party at his school. How many did he bring?

baherus [9]

Answer:

He brought 3 dozen cookies

She ate $\frac{2}{5}$ of the bag of Doritos

She read 25 books

Step-by-step explanation:

∵ Mike makes 4 dozen cookies

∵ He brings 75% of them for a party at his school

- Multiply 75% by 4

∵ 75% = $\frac{75}{100}=\frac{3}{4}$

∴ He brought = $\frac{3}{4}$ × 4

∴ He brought = 3

He brought 3 dozen cookies

∵ Sam bought a bag of Doritos

∵ She ate only 40% of them

∵ 40% = $\frac{40}{100}=\frac{2}{5}$

∴ She ate = $\frac{2}{5}$ × 1

∴ She ate = $\frac{2}{5}$

She ate $\frac{2}{5}$ of the bag of Doritos

∵ Jamie took 50 books from the library

∵ She only read half of her whole stack

- Multiply half by 50

∴ She read = $\frac{1}{2}$ × 50

∴ She read = 25

She read 25 books

3 0

2 years ago

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$