Hi there! The answer is 30 hours.
Let the number of worked hours be represented by X.
The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X
We end up with the following equation:
Subtract 10X from both sides.
Divide both sides by 2.
Therefore, after 30 hours of work Rebecca will earn the same amount of money.
Since dimes + quarters = 22
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)
Solution: 10 dimes, 12 quarters
Answer:
The slope of the line is 8.
Step-by-step explanation:
The points on the straight line are:
A = (-1, -12)
B = (9, 68)
Compute the slope of the line as follows:
Thus, the slope of the line is 8.
Answer:
1 1/10
Step-by-step explanation:
44/40
How many times can 40 fit evenly into 44? 1
So 44 - 40 (the 1) = 4
There are 4 remaining which will be the numerator.
The denominator stays the same: 40.
Your answer should look like: 1 4/40
Now simplify: 1 1/10
In this problem, an angle like angle BAC where the
vertices like on the circle itself is called the inscribed angle.
While angle BOC, where O is the center of the circle, is
called the central angle.
Using Proposition III.20 from Euclid's Elements, this is called
the Inscribed Angle Theorem wherein:
∠BOC = 2∠BAC
or ∠BOC / 2 = ∠<span>BAC</span>
