Answer:
Total surface = 102.4 cm^2 (second answer in the list of options)
Step-by-step explanation:
Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2
There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2
Now we add two of each of the individual surfaces discussed above to complete the total surface area:
2 * 28.8 + 2 * 14.4 + 2 * 8 = 102.4 cm^2
which agrees with the second answer option provided.
ANSWER:
Change in the Independent Variable / Change in the Dependent Variable
hope this helps!!
Answer:
x=2, y=-3
Step-by-step explanation:
x+3y+-7
move variable to the right and -3y from each side
x+3y-3y=-7-3y
x= -7-3y
3x -4y=18
3(-7-3y)-4y=18
solve for y, distribute
-21-9y-4y=18
collect like terms
-21-13y=18
move constant and change sign
-13y=18+21
add
-13y=39
divide by -13
y= -3
substitute
x=-7-3(-3)
solve
x=2
First multiply 76 by 80/100
(76 x 80 )/100 = 60.8
Now because the price has to be reduced...
76 - 60.8 = $15.2
Hope this will help.
Let x = amount of 70% juice we use.
Then 60-x = amount of 85% juice we'll use.
We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.
So 70% of x plus 85% of (60-x) must equal 80% of 60, or...
0.7x + 0.85(60-x) = 0.8(60)
0.7x + 51 - 0.85x = 48
-0.15x + 51 = 48
-0.15x = -3
x = 20
Then 60 - x = 60 - 20 = 40
Check: 70% of 20 pints = 14 pints of pure juice.
85% of 40 pints = 34 pints of pure juice
That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.
You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.
