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3 years ago

Solve the inequality 4(k − 5) + 12k ≥ −4

2 answers:

8 0

Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
k
≥
1
k
≥
1
Interval Notation:
[
1
,
∞
)
[
1
,
∞
)

IgorC [24]3 years ago

5 0

Answer:

k ≥ 1

Step-by-step explanation:

Step 1: Write inequality

4(k - 5) + 12k ≥ -4

Step 2: Solve for <em>k</em>

Distribute 4: 4k - 20 + 12k ≥ -4
Combine like terms: 16k - 20 ≥ -4
Add 20 to both sides: 16k ≥ 16
Divide 16 on both sides: k ≥ 1

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Answer:

0.0906

Step-by-step explanation:

Given that the prevalence of a certain type of tree allergy is 0.26 in the general population

X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.

Here n = 100

Required probability = the probability that exactly 26 of them will have this allergy

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3 years ago

Read 2 more answers

The anithistamine Benadryl is often prescribed for allergies. A typical dose for a 100-pound person is 25 mg every six hours. Fo

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Answer:

56 chewable tablets

280mL liquid Benadryl

Step-by-step explanation:

For the first part:

First we need to find out how many tablets of 12.5mg would we need per dose.

1 dose is 25 mg and the tablets are in 12.5 mg form.

$1 dose = \dfrac{25mg}{12.5mg} = 2$

That would mean you would need 2 tablets per dose.

Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours. Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.

Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.

4 x 7 = 28 times

Lastly, you multiply the number of times a week by the number of tablets per dose.

28 times a week x 2 tablets = 56 tablets.

For the second part:

12.5 mg/5mL

The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.

$\dfrac{12.5mg}{5mL}$ x $\dfrac{2}{2}$ = $\dfrac{25mg}{10mL}$

This means that for every 25 mg, you will need to give 10mL.

Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.

10mL x 28 = 280mL

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3 years ago

A company that creates steering wheels for cars found that 2 of the steering wheels manufactured each hour yesterday were defect

Ymorist [56]

2 steering wheels manufactured each hour were defected
There were 50 steering wheels manufactured per hour
The fraction is $\frac{2}{50}$
Divide 2, which is the numerator by 50, which is the denominator
2÷50=.04
To change any decimal into a fraction, multiply by 100
The multiply .04 by 100 to change into a percentage
.04×100=4.⇒4%
4% is the percentage of defective steering wheels

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3 years ago

To find the population of a city next year, we multiply its current population by 0.987. By what percent does the population dec

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Answer:

$1.3\%$