30 gallons of red paint & 20 gallons of blue paint
Step-by-step explanation:
The ratio of red to blue paint drops to make purple paint is 3 : 2
Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)
If 5 in the ratio = 50; what about 2 & 3
5 = 50
2 = x
After cross multiplication;
5x = 50 * 2
X = 100/5
X = 20
The same for ratio 3
5 = 50
3 = y
5y = 50 * 3
y = 150/5
y = 30
The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint
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Answer:
Step-by-step explanation:
The graph passes through the origin. It could either open up or open down. The quadratic has two zeros, both at (0, 0).
.024
.4 divided by 3/5 equals .024.
So you have length
l=legs and b=base
the first perimeter is 2l+b=8.5 since there are 2 legs
the second perimeter is 4l+b=15.5 since the legs are now 2l long instead of l
subtract the top problem from the bottom problem
(4l+b)-(2l+b)=15.5-8.5
2l=7 so l=3.5
if l=3.5 and 2l+b=8.5, 7+b=8.5, so b=1.5
check by plugging it into the second perimeter
4(3.5)+1.5=15.5-->14+1.5=15.5 it's correct yay!
Answer:
after 5 seconds
Step-by-step explanation:
Given
h(x) = - x² + 3x + 10
When the rock hits the road the height h = 0
Equate h(x) to zero and solve for x, that is
- x² + 3x + 10 = 0 ( multiply through by - 1 )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
However, x > 0 ⇒ x = 5
Thus the rock hits the road after 5 seconds.
