Answer:
First, we have to get the area of the parallelogram. A = b x h.
A = 17 feet x 9 feet
A = 153 square feet.
The area of the car (assume that the car is rectangle) is equal to: A = l x w.
A = 16 x 6
A = 96 square feet.
The space that is not covered by the car is 153 - 96 = 37 square feet.
Answer:
A
Step-by-step explanation:
So y=mx+b
cost=m(number of pages)+b
cost=y
# of pages=x
so points are
(x,y)
(50,1.55)
(100,2.25)
(150,2.95)
(20,3.65)
so solve for slope/m you do (y₁-y₂)/(x₁-x₂) so
just use any for example
(1.55-2.25)/(50-100)=-0.70/-50=1 times 0.7/50=7/500= (to convet to decimal form) 14/1000=1.4/100=0.14/10=0.014/1=0.014
slpoe is 0.014
y=0.014x+b
input one of the points exg 50 for x and 1.55 for y and solve for b
1.55=0.014(50)+b
1.55=.7+b
subtract .7 from both sides
0.85=b
so the equation is
y=0.014x+0.85
which is C
Answer:
Step-by-step explanation:
Let x represent the number of batches of soap that Lilth makes.
Let y represent the number of batches of lotion that Lilth makes.
It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that
x/3 + 7y/12 = 20
4x + 7y = 240- - - - - - - - - - -1
The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that
5x + 15y ≤ 325 - - - - - - - - -2
4x = 240 - 7y
x = (240 - 7y)/4
Substituting
5(240 - 7y)/4 + 15y ≤ 325
(1200 - 35y)/4 + 15y ≤ 325
1200 - 35y + 60y ≤ 1300
25y ≤ 1300 - 1200
25y ≤ 100
y ≤ 100/25
y ≤ 4
4x + 7 × 4 = 240
4x + 28 = 240
4x = 212
x = 212/4 = 53
Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion
Hey there! :)
The answer is 80%
6 ÷ 30 = 0.2 = 20%
100 - 20 = 80
Hope this helped :)