Answer:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
Step-by-step explanation:
We are given that x denotes the time in hours it takes to mow a lawn and y denotes the size of the lawn in acres.
Now Two of his points are (3, 1.5) and (5, 2.5)
Slope :
Thus Aaron’s rate for mowing lawns is 0.5 acres per hour.
Hence Option B is correct
the answer is PQ and plane SP
18 yards and 22 yards are the length of trapezoid.
Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides
Given,
shorter base to be 3 yards greater than the height
b₁=h+3
longer base to be 7 yards greater than the height.
b₂=h+7
Area of trapezoid=1/2(b₁+b₂)h
150=1/2(h+3+h+7)h
150=(2h+10)h/2
150=2h²+10h/2
150=2h²+5h
h²+5h-150=0
h²+15h-10h-150=0
h(h+15)-10(h+15)=0
(h-10)(h+15)=0
h=10 or h-15
h value should be positive.
So b₁=h+3=15+3=18
b₂=h+7=15+7=22
Hence the bases be 18 yards and 22 yards.
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The complete question is:
At the gas station, each liter of gas costs $3dollar but there's a promotion that for every beverage you purchase you save $0.20 dollar on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
Explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
Answer:
The answer is A.
Step-by-step explanation:
In this kind of exercise the usual way to solve it is s kind of trial an error. We evaluate f(x) in the given values of x and check if it corresponds with the values of f(x) in the table. If only one of the calculations does not correspond we dismiss the function.
Let us start our analysis from D. to A.
D. In this case f(x) = x-1, then f(-3) = -3-1=-4, and the result does not correspond to the values of the table (recall f(-3)=-1).
C. The same idea: we have f(x)=x-2, then f(-3)=-3-2=-5, and the result does not correspond to the values of the table (recall f(-3)=-1).
B. Here f(x)=3x, then f(-3)=3*(-3)=-9, and the result does not correspond to the values of the table (recall f(-3)=-1).
A. Now f(x)=x+2, then f(-3)=-3+2=-1, and the result does correspond to the values of the table (recall f(-3)=-1). So, we need to check the next values of the table:
f(0)=0+2=2, f(3)=3+2=5 and f(6)=6+2=8.
As all the values are equal to those in the table, we conclude that A. is the correct answer.
30 minutes is half of an hour so it would be 50%.
Answer: Use Desmos.com/calculator
Step-by-step explanation: