Answer:r=7/7744
move all terms to the left:
(7/22)(44)-(2r)=0
add all the numbers together, and all the variables
-2r+(+7/22)44=0
multiply parentheses
-2r+7/22*44=0
multiply all the terms by the denominator
-2r*22*44+7=0
multiply elements
-1936r*4+7=0
multiply elements
-7744r+7=0
move all terms containing r to the left, all other terms to the right
-7744r=-7
r=-7/-7744
I don't know what the "six-step method" is, but I do know how to solve the problem:
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
Answer:
y-1=-2/3(x-5)
Step-by-step explanation: You have to use slope formula to find the slope, Then you use the first set of points because it have to be x1
Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with
cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length
cm and length is 2 cm, where 4 cubes of length
cm can fit. So, in total (4 × 2) = 8 cubes of
cm length.
Now, height of the prism is
cm where 3 cubes of length
cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of
cm length. (Answer)
Answer:
Assuming the area is made up of a square and a semicircle.
<u>Perimeter</u>
The side length of the square = 18 ft
We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).
⇒ perimeter of the square = (3 x 18) + (18 - 12)
= 54 + 6
= 60 ft
Circumference of a circle =
d (where d is the diameter)
⇒ arc length of the semicircle = 1/2 circumference
= 1/2 ·
· 12
= 6
ft
Total perimeter = 60 + 6
= 78.8 ft (nearest tenth)
<u>Area</u>
Area of a square = s² (where s is the side length)
⇒ area of square = 18²
= 324 ft²
Diameter = 2r ⇒ r = 1/2 diameter
Area of a circle =
r² (where r is the radius)
⇒ area of the semicircle = 1/2 ·
· 6²
= 18
ft²
Total area = 324 + 18
= 380.5 ft² (nearest tenth)