Answer:
D
Step-by-step explanation:
7 - z = 3 + z + 4 - 2z
7 - 3 - 4 = z - 2z + z
0 = 0 (Infinitely many solutions)
5(a + 4) - 15 = -5(a - 1)
5a + 20 - 15 = -5a + 5
5a + 5a = 5 - 20 + 15
10a = 40
10a/10 = 40
a = 4
(one solution)
-2d + 4d - 4 = 5 + 3(d - 3)
2d - 4 = 5 + 3d - 9
2d - 3d = 5 - 9 + 4
- d = 0
d = 0
(one solution)
-11(n - 2) + 8(n + 1) = -3(n + 10)
-11n + 22 + 8n + 8 = -3n - 30
-11n + 8n + 3n = -30 - 22 - 8
0 = -60
(no solutions)
Answer:
false
Step-by-step explanation:
all parallelograms are not square
their opposite sides only equal
N = regular rate
1.4n= overtime rate
30n + 5(1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.
30n + 7n = $436.60 now add like terms
37n = $436.60 now divide both sides by 37
n= $11.80
Check to see if my answer is reasonable 30 x 12= 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60 ($436.60)
Answer:
x = 49
Step-by-step explanation:
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
k = 56
Next, to find the value of x, when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
x - 2/3 = 5/6
the only step needed is to add 2/3 to 5/6
2/3 + 5/6 = 1 1/2
x = 1 1/2
