X + y + z = 27
x = 2z
y = 3 + z
2z + 3 + z + z = 27 ; 4z = 24; z = 6 youngest
x = 12 oldest
y = 9 middle one
C=15+3. Combine like terms. C=18.
Answer:
D
Step-by-step explanation:
The ratio of yellow paint to blue paint is 4:3. We can make the largest amount of green paint by using all of the 20 quarts of yellow paint so we have to solve for x in 4:3 = 20:x, since 4 * 5 = 20, 3 * 5 = x so we use 15 qts of blue paint, therefore we will have 20 + 15 = 35 qts of green paint.
Based on the given parameters about old cone, the height of the new cone is 12 inches
<h3>Equivalent ratio</h3>
Old cone:
- Radius, r = 2 inches
- Height, h = 6 inches
New cone:
- Radius, r = 4 inches
- Height, h = h
equate ratio of radius to height in old and new cone
2 : 6 = 4 : h
2/6 = 4/h
cross product
2 × h = 6 × 4
2h = 24
h = 24/2
h = 12 inches
Learn more about ratio:
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Remember
we can do anything to an equation as long as we do it to both sides
try to isolate the variable
you have 2 types
x+b=c
x/b=c
fior the first type, minus b from both sides to get
x=c-b
for the second, multiply both sides by b to get rid of the fraction to get
x=cb
also remember that -x times -1=x
b.add 25 to both sides
-a=20
multiply -1
a=-20
c.
-t/8=-4
multiply both sides by 8
-t=-32
mutiply -1
t=32
d. -n/-5=-30
mulitply both sides by -5
-n=150
multiply both sides by -1
n=-150
e. multiply both sides by 12
-l=144
multiply b y-1
l=-144
