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.
Answer:
Area = 23.12 cm²
perimeter = 24.28 cm
Step-by-step explanation:
top shaded region is circular arc with 90° sector angle
so perimeter of arc is 90 / 360 * 2πr
here radius of arc is half the length of square side
r = 6.8/2 = 3.4
top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4
= 1/4 * 2 * 3.14 * 3.4
= 5.338
bottom region perimeter is also same
total perimeter of shaded region is = side + side + two arcs
= 6.8 + 6.8 + 2 * 5.338
= 13.6 + 10.676
= 24.276
= 24.28
Area of top shaded region is 90/360 * πr²
A = 1/4 * 3.14 * 3.4²
= 9.0746
bottom shaded region area is half of area of square - area of bottom arc
= 6.8 * 3.4 - 9.0746
= 23.12 - 9.0746
= 14.0454
so total area of shaded region is 9.0746 + 14.0454
= 23.12
or you can just calculate area as half of area of total square = 6.8² / 2
= 23.12
Answer:
1 ) 1/2
2) 1/4
3)10, 15 , 20, 25 , 30 ,35 ......
4) 16,24,32,...
5)40
6) 42
7)17/24
8)11/16
9) 3/8
10) 1/20
C because the most shown value is 24
since it is a square, all sides are 6. and the area would be 36 because 6x6 is 36! and the perimeter is 24! Hope this helps! :)
