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goblinko [34]
2 years ago
8

Solve the inequality, -4 less than 4(6y-12)-2y

Mathematics
1 answer:
erastova [34]2 years ago
5 0

-4 < 4(6y - 12) - 2y

<em><u>Distributive property.</u></em>

-4 < 24y - 48 - 2y

<em><u>Combine like terms.</u></em>

-4 < 22y - 48

<em><u>Add 48 to both sides.</u></em>

44 < 22y

<em><u>Divide both sides by 22.</u></em>

2 < y

The value of y is greater than the value of 2.

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Heather's employer pays 80% of her health insurance premium. If the annual premium is $2447.25 and she is paid weekly, how much
FrozenT [24]

Answer:

37.65

Step-by-step explanation:

Take 2447.25, divide by 52 (there are 52 weeks in a year) and mutiply by 0.8 (80%), and then you have the answer!

8 0
2 years ago
Problem:<br><br> 3 divided 5= 3/5<br><br> ——— x ——— = ———
grin007 [14]

Answer:

3=1/5

Step-by-step explanation:

hope this helps :) have a nice day :)

3 0
2 years ago
How do I solve this equation to get the solution?<br><br> y= -2x - 1<br><br> -3x + 6y = 24
swat32
There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property. 

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)
6 0
3 years ago
Safari 11:02 AM Fri Apr 17
mestny [16]

Answer:

Step-by-step explanation:

Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.

6 0
3 years ago
Find the missing side
dybincka [34]

Answer:

7) 8.94

8) 6.71

Step-by-step explanation:

for both questions, use pythagorean theorem

a^{2} + b^{2} = c^{2}

<u>Question 7:</u>

4^{2} + 8^{2} = c^{2}

16 + 64 = c^{2}

80 =  c^{2}

\sqrt{80} = \sqrt{c^{2}}

c = 8.94

<u>Question 8:</u>

6^{2} + 3^{2} = c^{2}

36 + 9 = c^{2}

45 = c^{2}

\sqrt{45} = \sqrt{c^{2} }

c = 6.71

6 0
3 years ago
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