Answer:
c
Step-by-step explanation:
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:
3.33 and 1/3
Step-by-step explanation:
"Dense" here means that there are infinite irrational numbers between two rational numbers. Also, there are infinite rational numbers between two rational numbers. That's the meaning of dense. Actually, that can be apply to all real numbers, there always is gonna be a number between other two.
But, to demonstrate that irrationals are dense, we have to based on an interval with rational limits, because the theorem about dense sets is about rationals, and the dense irrational set is a deduction from it. That's why the best option is 2, because that's an interval with rational limits.
9:
r
15.5 (not the one with the line under it i just couldnt find the one that didnt have the line under it)
for the graph, put 16 on the right side and label the lines right to left 16 15.5 14 14.5 etc. Put an open circle on the 15.5 line. then make an arrow pointing to the left.
10:
80p+64
This is because she needs 80 points OR MORE and (p represents the points) she already has 64. She needs 80 to be less than or equal to the amount of points earned.
The solution is 16p because 80-64=16 and p is needs to be greater than or equal to 16
3,4,5 are Pythagorean triplets. then 6,8,10 are, so the answer is 10
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