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Anon25 [30]
2 years ago
5

Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters ea

ch. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?
Mathematics
1 answer:
EleoNora [17]2 years ago
6 0

Answer:

900 - 0.6s ≤ 100 + 0.73s

Step-by-step explanation:

The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.

The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.

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Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he hav
Schach [20]

Answer:

Lee has 19 nickels and 8 dimes

Step-by-step explanation:

hello, I think I can help you with this

Step 1

Let

value of a nickel=$0.05

value of a dime=$0.10

number of nickels=N

number of nickels=D

According to the question data Lee has $1.75 in dimes and nickels.

0.05N+0.1D=1.75,equation(1)

also, the number of nickels is 11 more than the number of dimes.mathematical speaking

N=11+D,equation(2)

Step 2

replace N from equation (2) into equation (1)

0.05N+0.1D=1.75

0.05(11+D)+0.1D=1.75

Now, solve for D

0.55+0.05D+0.1D=1.75

0.15D=1.75-0.55

D=1.2/0.15

D=8

Step 3

replace the value of D into equation(2) to obtain N

N=11+8

N=11+8

N=19

Hence, Lee has 19 nickels and 8 dimes

Have a great day.

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