Answer:
6
Step-by-step explanation:
First, list all the factors of both numbers. Factors are numbers that evenly divide into the number.
18:
1, 2, 3, 6, 9, 18
48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor that both numbers have is 6
Answer:
$690
Step-by-step explanation:
To know how much money Joe earned, we need to split his 52 hours of work in three parts:
40 hours earning 11.5 per hour
8 hours earning 17.25 per hour (one time and a half of his regular payment)
The last 4 hours earning 23 per hours (double time earnings)
So, to know the total earning, we multiply each block of hours for its respective value per hour, and them sum them all:
Total earning = 40*11.5 + 8*17.25 + 4*23 = $690
Answer:
z = -5
Step-by-step explanation:
3(0.7z + 2.8) = 7(1.5z + 7.2)
2.1z + 8.4 = 10.5z + 50.4
2.1z - 10.5z = 50.4 - 8.4
-8.4z = 42
z = 42/(-8.4)
z = -5
Answer:
A. y = sine (x + 90 degrees)
Step-by-step explanation:
- y = cosine(x) is a curve that crosses the y-axis at y = 1 and completes one cycle at 360 degrees.
- sine(x) have the same curve than cosine(x), but translated 90° to the right respect cosine(x)
- f(x + c) translates f(x) horizontally c units to the left.
- Then, sine(x + 90) is equivalent to cosine(x)
First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.
a^2 + b^2 = c^2
Substitute
a^2 + (5)^2 = (20)^2
Solve for a^2
a^2 = (20)^2 - (5)^2
Solve for a
a = 5 √15
The slope will be rise over run
5/5 √15 = √15/15 or 0.258…
