Answer:
Regular hourly rate for Brandon is $30
Step-by-step explanation:
Let the payment for regular hours be $x
given that
Brandon is paid 150% of his regular hourly rate for overtime hours
payment for overtime hours = 150% of payment for regular hours
payment for overtime hours = 150/100 * x = 3x/2
Given that He is paid \$45.00 an hour for overtime hours
thus,
3x/2 = 45
=> x = 45*2/3 = 30
Thus, regular hourly rate for Brandon is $30
Answer:
line l║line m
Step-by-step explanation:
See the diagram first.
Statement:
1. ∠ 2 and ∠ 5 are supplementary
Reason:
It is given
Statement:
2. ∠ 3 = ∠ 2
Reason:
They are opposite angles.
Statement:
3. ∠ 3 and ∠ 5 are supplementary
Reason:
As ∠ 3 = ∠ 2
Statement:
4. line l is parallel to line m
Reason:
Consecutive interior angles ∠ 3 and ∠ 5 are supplementary. (Answer)
Given:
m∠C = 65°
b = 5
c = 6
Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°
Answer: m∠B = arcsin(0.7553) = 49° (approx)
Answer:
the larger number is 50
Step-by-step explanation:
Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:
"the sum of two numbers is 80" can be written as:
Now the second phrase:
"The ratio of those two numbers is 3/5"
Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio 
, and solve for x:
Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:
Therefore the larger number (y) equals 50.
Answer:
-7.7
Step-by-step explanation:
-18 divided by 7 = -2.57
-2.57 multiplied by 3 = -7.7
-7.7
I used simplistic form for this equation as the numbers where quite long.
