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2 years ago

Simplify the inequality 2y>4

Mathematics

1 answer:

vampirchik [111]2 years ago

4 0

Answer:

y > 2

Step-by-step explanation:

have a good day i hope this is correct! c:

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kolezko [41]

Angle 1 equals angle 5. I think the theorem is Alternate interiors?

3 0

3 years ago

Read 2 more answers

Laura lives 15 miles east of Kevin’s place. Kevin lives 8 miles south of Michelle’s place. How far does Michelle live from Laura

My name is Ann [436]

Answer:

17 miles.

Step-by-step explanation:

Let's define:

North as the positive y-axis

East as the positive x-axis.

We know that Laura lives 15 miles east of Kevin's place.

Kevin lives 8 miles south of Michelle's place.

So, if we define the origin, (0, 0) as Laura's place.

From:

"that Laura lives 15 miles east of Kevin's place."

We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:

(0, 0) + (-15mi, 0) = (-15mi, 0)

From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.

Then the location of Michele's house is the location of Kevin's plus (0, 8mi).

Michelle's house is located at:

(-15mi, 0) + (0, 8mi) =(-15mi, 8mi)

Now we want to find the distance between Michelle's house and Laura's house.

Michelle's house is at (-15mi, 8mi)

Laura's house is at (0mi, 0mi)

Remember that the distance between two points (a, b) and (c, d) is given by:

$D = \sqrt{(a - c)^2 + (b - d)^2}$

Then the distance between (-15mi, 8mi) and (0mi, 0mi) is:

$D = \sqrt{(-15mi - 0mi)^2 + (8mi - 0mi)^2} = 17mi$

The correct option is the first one, 17 miles.

6 0

3 years ago

A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price?

Kryger [21]

Answer:

Your answer is 16.05

Step-by-step explanation:

15.75 + 0.3 = 16.05

16.05 - 0.3 = 15.75

5 0

3 years ago

The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin

frez [133]

Answer: $2\dfrac13\text{ miles per hour}$

Step-by-step explanation:

Given: Distance traveled by Smith = $\dfrac23$ mile.

Time taken = $\dfrac27$ hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

$=\dfrac23\div\dfrac27$

$\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}$

Unit rate = $2\dfrac13\text{ miles per hour}$

6 0

3 years ago

How do i solve -96=-6(1-3b) with the steps

Kay [80]

Answer:

The answer is b= - 5

Step-by-step explanation:

-96 = -6 ( 1 - 3b )

-6 ( 1 - 3b ) = -96

$\frac{-6(1 - 3b}{-6} = \frac{-96}{-6}$

1 - 3b = 16

3b = 16 - 1 = 15

b= 15 : 3 = 5

5 0

3 years ago