Alright! First you'd subtract the amount of the part ($44) from your total ($179), then you'd divide by the rate of cost ($45). Your equation would be:
($179 - $44) ÷ $45 = h.
Then you solve:
($179 - $44) = $135
($135 ÷ $45) = 3
h = 3.
The answer is 3 hours.
9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
Answer:
x = -26 and y = -2
I hope this is the answer you are looking for
Step-by-step explanation:
x-8y = -10 => add 8y to both sides
+8y = +8y
x = -10+8y
-2(-10+8y) -6y = -24 => intersect what you got into the first equation
20-16y-6y = -24 => Distribute the -2
20-22y = -24 => subtract 20 in both sides
-20 = -20
-22y = -44 => divided by -22 in both sides
/-22 = /-22
y = -2
x-8(-2) =-10 => intersect the y into the other equation
x+16 = -10 => multiply -8*-2
-16 = -16
x = -26 => subtract 16 in both sides.
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
M = 3
just take 9 times 5 and divide by 15
