Answer: NP = 9 inches
Step-by-step explanation:
In a parallelogram, the opposite sides are equal.
If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.
If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.
The perimeter is 2MN + 2NP
If the perimeter of MNPQ is 68 inches, it means that
2MN + 2NP = 68- - - - - - - - - - - -1
In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that
MN = 2NP + 7- - - - - - - - - - -2
Substituting equation 2 into equation 1, it becomes
2(2NP + 7) + 2NP = 68
4NP + 14 + 2NP = 68
4NP + 2NP = 68 - 14
6NP = 54
NP = 54/6
NP = 9 inches
Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer: 95.55%
--------------------------------
Work Shown:
A = event that copier A breaks down
B = event that copier B breaks down
P(A) = probability that copier A breaks down
P(A) = 2% = 0.02
P(B) = probability that copier B breaks down
P(B) = 2.5% = 0.025
P(neither break down) = (1-P(A))*(1-P(B))
P(neither break down) = (1-0.02)*(1-0.025)
P(neither break down) = 0.9555
P(neither break down) = 95.55%
Answer:
x = 1.5
Step-by-step explanation:
Given
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if , then
Multiply both sides by 2
Similarly;
Multiply both sides by 2
Merging these results together; to give
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
