Answer:
x = 21
Step-by-step explanation:
3x + 18 + 4x + 15 = 180
7x + 33 = 180
7x = 147
x = 21
The slope-point formula:
We have (3, -5) and (-8, 4).
Substitute:
Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
Answer:
Step-by-step explanation:
10) The opposite sides of a parallelogram are equal. It means that
a + 15 = 3a + 11
3a - a = 15 - 11
2a = 4
a = 4/2 = 2
Also,
3b + 5 = b + 11
3b - b = 11 - 5
2b = 4
b = 4/2 = 2
11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that
2x + 11 + x - 5 = 180
3x + 6 = 180
3x = 180 - 6 = 174
x = 174/3 = 58
Therefore,
2x + 11 = 2×58 + 11 = 127 degrees
The opposite angles of a parallelogram are congruent, therefore,
2y = 127
y = 127/2 = 63.5
12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore
3y - 5 = y + 5
3y - y = 5 + 5
2y = 10
y = 10/2 = 5
Also,
z + 9 = 2z + 7
2z - z = 9 - 7
z = 2
A solid estimate would be 790,000,000