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2 years ago

the ratio of boys to girls on a swimming team is 4 to 3. The team has 35 members. How many are girls?

1 answer:

6 0

You can rewrite this problem into an equation. You know that the ratio of boys to girls is 4 to 3, which is the same as:
$\frac{boys}{girls} = \frac{4}{3}$

Cross multiply to get to 4G = 3B
Divide both sides by 4, to isolate the G (# of girls).

G = 3B / 4 = 0.75B

So you know that B + G = 35 (boys plus girls equals 35). Replace the G in this equation with the one you found above so that the entire equation only has one variable.

B + G = 35
B + 0.75B = 35
1.75B = 35
1.75B / 1.75 = 35 / 1.75
B = 20

However, you need to find G. So plug B back into one of the equations:

B + G = 35
20 + G = 35
G = 15

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3 years ago

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3 years ago

A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the bod

adell [148]

Answer: a - 4.512 hours

b - 1.94 hours

Step-by-step explanation:

Given,

a) A(t) = 10 (0.7)^t

To determine when 2mg is left in the body

We would have,

A(t) = 2, therefore

2 = 10(0.7)^t

0.7^t =2÷10

0.7^t = 0.2

Take the log of both sides,

Log (0.7)^t = log 0.2

t log 0.7 = log 0.2

t = log 0.2/ 0.7

t = 4.512 hours

Thus it will take 4.512 hours for 2mg to be left in the body.

b) Half life

Let A(t) = 1/2 A(0)

Thus,

1/2 A(0) = A(0)0.7^t

Divide both sides by A(0)

1/2 = 0.7^t

0.7^t = 0.5

Take log of both sides

Log 0.7^t = log 0.5

t log 0.7 = log 0.5

t = log 0.5/log 0.7

t = 1.94 hours

Therefore, the half life of the drug is 1.94 hours

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3 years ago

Erica invests $10,000 at 5% interest compounded annually.

grigory [225]

A=P(1+i $)^{n}$
A=10000(1+15% $)^{3}$
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your answer is D

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2 years ago

Fifty students in the seventh grade are trying to raise at least $2000 for sports supplies. They already raised $750. How much s

Vaselesa [24]

Answer:

x ≥ 25

Step-by-step explanation:

In the seventh grade, fifty students are trying for sports supplies to raise at least $2000. They already have $750.

Let us assume that each student has to raise $x more to meet the goal.

Then, a total of 50 students will raise $50x more.

Therefore, the inequality to solve for x will be

750 + 50x ≥ 2000

⇒ 50x ≥ 1250

⇒ x ≥ 25 (Answer)

4 0

2 years ago