Answer:
w = 18
Step-by-step explanation:
6(33 - w) = 90 ( divide both sides by 6 )
33 - w = 15 ( subtract 33 from both sides )
- w = - 18 ( multiply both sides by - 1 )
w = 18
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
Option C:
{x: –1 < x < 7}
Solution:
Given expression is (x – 2 < 5) ∩ (x + 7 > 6).
Let us first solve the inequality.
First inequality:
⇒ x – 2 < 5
Add 2 on both sides of the expression.
⇒ x – 2 + 2 < 5 + 2
⇒ x < 7
Second inequality:
⇒ x + 7 > 6
Subtract 7 on both sides of the expression.
⇒ x + 7 – 7 > 6 – 7
⇒ x + 7 – 7 > 6 – 7
⇒ x > –1
Now to find the intersection of these inequalities.
(x – 2 < 5) ∩ (x + 7 > 6) = (x < 7) ∩ (x > –1)
= (x < 7) ∩ (–1 < x)
= –1 < x < 7
Thus, option C is the correct answer.
(x – 2 < 5) ∩ (x + 7 > 6) = {x: –1 < x < 7}
Answer:
4=0
Step-by-step explanation:
Simplifying
(-9p + 7) + -1(-9p + 3) = 0
Reorder the terms:
(7 + -9p) + -1(-9p + 3) = 0
Remove parenthesis around (7 + -9p)
7 + -9p + -1(-9p + 3) = 0
Reorder the terms:
7 + -9p + -1(3 + -9p) = 0
7 + -9p + (3 * -1 + -9p * -1) = 0
7 + -9p + (-3 + 9p) = 0
Reorder the terms:
7 + -3 + -9p + 9p = 0
Combine like terms: 7 + -3 = 4
4 + -9p + 9p = 0
Combine like terms: -9p + 9p = 0
4 + 0 = 0
4 = 0
Solving
4 = 0
Answer:
The answer to your question is RQ = 3
Step-by-step explanation:
Data
SR = x + 7
RQ = x + 4
SQ = 9
Process
1.- Write an equation that helps to solve this problem
SQ = SR + RQ
- Substitution
9 = (x + 7) + (x + 4)
- Solve for x
9 = x + 7 + x + 4
9 = 2x + 11
9 - 11 = 2x
-2 = 2x
x = 2/-2
x = -1
2.- Find the length of RQ
RQ = x + 4
= -1 + 4
= 3