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3 years ago

What is 26% of 125? (10 points)

Mathematics

1 answer:

melisa1 [442]3 years ago

6 0

32.5...
125x26 = 3250 divided by 100 = 32.5
hope this helps!

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The formula of the area of the triangle is A=1/2bh solve for h

inn [45]

Answer:

Answer:

h = \frac{2A}{b}

Step-by-step explanation:

Given

A = \frac{1}{2} bh

Multiply both sides by 2 to clear the fraction

2A = bh ( isolate h by dividing both sides by b )

h = \frac{2A}{b}

4 0

3 years ago

17.381 divided by 1.21

daser333 [38]

Answer:

14.36446281 is the answer, you probably have to round

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3 years ago

Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0

3 years ago

Kyle bought four boxes of cereal for $16.40 how much would 10 boxes of cereal cost

Scilla [17]

Answer:

Step-by-step explanation:

Price of one box = 16.40 ÷ 4 = 4.1

Price of 10 boxes = 4.1 × 10 = 41

6 0

3 years ago

Read 2 more answers

What is 1.847 and 1.798 rounded to nearest hundredth of a pound

Alisiya [41]

1.847 rounds to 1.85 because the number in the thousandths place bumps it up since it is greater then 4. 1.798 rounds to 1.8 because the number in the thousandths place bumps the nine up to ten and you can't have a two digit number where there is only supposed to be one. so that "ten" bumps the 7 up to 8.

3 0

3 years ago

Read 2 more answers