Answer: 0.6/h
Step-by-step explanation:
6.15-3.75= 2.4
2.4/4= 0.6
Answer: Hello mate!
We have the equation 2x^2 + x = 14
let's solve it for x:
2x^2 + x - 14 = 0
the solutions can be obtained with the equation:
then the solutions are:
(-1 - 10.63)/4 = -2.907, that rounded to the hundreths is equal to -2.91 (because the number after the hundredth place is a 7, so we round up)
and
(-1 +10.63)/4 = 2.407, that when rounded to the hundreths place is equal to 2.41 (the same reason as before)
then the answers are -2.91 and 2.41
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.
We would solve this using direct proportion.
y = kx.
12.15 = 11.25k
k = 12.15 / 11.25
k = 1.08
Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.
y = kx.
59.13 = 54.75k
k = 59.13 / 54.75
k = 1.08
The equation that models the relationship will be:
y = 1.08x
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Define x and y
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Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)
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Construct the 2 equations:
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Both x and y must add up to 120g
⇒ x + y = 120
Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2
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Solve x and y:
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x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)
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From equation 2:
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0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48
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Substitute x = 48 into equation 1:
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x + y = 120
48 + y = 120
y = 120 - 48
y = 72
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Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
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Answer:
232.36
Step-by-step explanation:
double the radius and multiply by 3.14