Answer:
1.) k = 5
2.) n = -20
3.) p = -13
4.) m = -450
5.) b = -38
6.) n = -24
7.) x = 21
8.) x = 12
9.) b = -2
10.) b = 5
Step-by-step explanation:
To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.
1.) 55 = 11k
(11 and k are being multiplied, so you would divide)
Divide by 11 on both sides:
55 = 11k
/11 /11
5 = k
2.) Add 15 on both sides:
n - 15 = -35
+15 +15
n = -20
3.) Divide by -6 on both sides:
78 = -6p
/-6 /-6
-13 = p
4.) Multiply by 18 on both sides:
m/18 = -25
18(m/18) = (-25)18
m = -450
5.) Add 20 on both sides:
18 = -20 - b
+20 +20
38 = -b
Divide by -1 on both sides:
38 = -b
/-1 /-1
-38 = b
6.) Subtract 12 on both sides:
12 + n/4 = 6
-12 -12
n/4 = -6
Multiply by 4 on both sides:
4(n/4) = (-6)4
n = -24
7.) Multiply by 2 on both sides:
2(-7 + x/2) = (7)2
-7 + x = 14
Add 7 on both sides:
-7 + x = 14
+7 +7
x = 21
8.) Subtract 2 on both sides:
-4x + 2 = -22
-2 -2
-4x = -24
Divide by -4 on both sides:
-4x = -24
/-4 /-4
x = 12
9.) Add 9 on both sides:
7 = -8b - 9
+9 +9
16 = -8b
Divide by -8 on both sides:
16 = -8b
/-8 /-8
-2 = b
10.) Multiply by -3 on both sides:
-3(b - 14/-3) = (3)-3
b - 14 = -9
Add 14 on both sides:
b - 14 = -9
+14 +14
b = 5
Answer:
C. 70.4
Step-by-step explanation:
22% × 320 =
(22 ÷ 100) × 320 =
(22 × 320) ÷ 100 =
7,040 ÷ 100 =
70.4
Answer:
1750 + 35x ≥ 3250
Step-by-step explanation:
Average speed = 35 words
He has already typed 1500 words on his final paper
The paper must be more than 3250 words.
To find at least how many more words he has to type, we will subtract 1500 from 3250
3250 - 1500 = 1750 words
The equation will be 35x ≥ 1750
x is the number of minutes
The equation could be
1750 + 35x ≥ 3250
Answer:
8.69 inches
Step-by-step explanation:
4.5C=0.72R
V=πr^2 h
/3
V=π0.72^2 16
/3
V=8.69 Inches
I apologize for the hard to understand step-by-step but the way that the equation is set up is impossible to type out under the limitation. If you have any questions about it, just ask.
4^2+b^2=8^2
16+b^2=64
-16. -16
b^2= 48
Sq root each side
b= sq rt 16 sq rt 3
b= 4 sq rt 3
