Answer:
You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D
Step-by-step explanation:
1. 5x + 4x - 6x = 24
9x - 6x = 24
3x = 24
24/3 = 8
<u><em>x = 8</em></u>
2. 8y + 5 - 4y + 1 = 46
8y - 4y = 4y
5 + 1 = 6
4y + 6 = 46
4y = 46 - 6
4y = 40
40/4 = 10
<u><em>y = 10</em></u>
<u><em></em></u>
3. 33 = 5 ( x + 8 ) + 3
33 = 5x + 40 + 3 <em>(because we distributed)</em>
33 = 5x + 43
5x + 43 = 33<em> (just rewriting it to make it easier)</em>
5x = 33 - 43
5x = -10
-10/5 = -2
<em><u>so x = - 2</u></em>
4. 2m + 3 ( m - 8 ) = 1
2m + 3m - 24 = 1
<em>we got 3m - 24 because we distributed the 3</em>
5m - 24 = 1
5m = 25
25/5 = 5
<em><u>m = 5</u></em>
<em><u /></em>
5. p + p - 2p + 4p = - 48
2p - 2p + 4p = - 48
4p = - 48
- 48 / 4 = - 12
<u><em>p = - 12</em></u>
<u><em></em></u>
6. 2 ( y + 5 ) + 3y = 25
2y + 10 + 3y = 25
5y + 10 = 25
5y = 25 - 10
5y = 15
15/5 = 3
<u><em>y = 3</em></u>
7. 1/4 h + 3/4 h + 1/2 h + 2 = 5
1/4 h + 3/4 h + 1/2 = 3/2 h
3/2 h + 2 = 5
3/2 h = 5 - 2
3/2 h = 3
<u><em>h = 2</em></u>
<u><em></em></u>
8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )
60 = 4k + 12 + 2k - 6
4k + 12 + 2k - 6 = 60
6k + 6 = 60
6k = 60 - 6
6k = 54
<u><em>k = 9 </em></u>
<u><em></em></u>
9. - 2 ( d + 1.4 ) - 1.8 = 20.6
-2d + - 2.8 - 1.8 = 20.6
-2d - 2.8 = 22.4
-2d = 25.2
<u><em>d = - 12.6 </em></u>
<u><em></em></u>
10. 8 - 2 ( w + 4 ) = 10
8 + - 2 w + - 8 = 10
-2w + 9 + - 8 = 10
-2w = 10
10 / -2 = -5
<u><em>w = -5</em></u>
Answer:
yes 145 equals 9.0625 in lb
Step-by-step explanation:
Answer:
I'm pretty sure its a Trapezoid but don't quote me
Step-by-step explanation:
I don't really know
Answer: B. 19.9
Step-by-step explanation: Set up an equation where sin and the degree angle is in the numerator, and the side length is in the denominator.
Sin65/8 = Sinx/3
Plug Sin65 into your calculator and you will get 0.9063. Divide this number by 8.
0.9063/8 = 0.1133
Your equation is now 0.1133 = sinx/3
Multiply by 3 on each side.
0.3399 = sinx
Put sin on the left side. It will look like:
Sin^-1(0.3399) = x
Press enter on your calculator. You will get
X = 19.9.
Answer:
27
Step-by-step explanation:
Set up a proportion.
1 day / (2/3 cup) = x/ 18 cups Cross Multiply
1 day * 18 cups = 2/3 cup * x Multiply both sides by 3
1 day * 18 cups * 3 = 2x
54 day cups = 2x cups Divide by 2
54 day cups/2 cups = x
27 days (The cups cancel)
