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eimsori [14]
4 years ago
13

Carl, Caitlyn, and Daryl are comparing their ages. Carl is two years older than Caitlyn. Daryl is five years older than Carl. Th

e product of Carl and Daryl's ages is at least 160. If x represents Caitlyn's age, which inequality represents this situation?
Mathematics
1 answer:
Ksenya-84 [330]4 years ago
8 0

Answer:

Step-by-step explanation:

If x represents Caitlyn's age, then  can be used to represent Carl's age, and  can be used to represent Daryl's age.

The product of Caitlyn and Daryl's ages is at least 160. Use this information to set up an inequality to represent this situation.

The answer is x squared +9x+14 is greater than or equal to 160.

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The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
jek_recluse [69]

Here is the solution:

<span><span>A = pi*r^2=112.07 </span><span>
<span>r = (112.07/pi)^1/2 </span>
r = 5.97 ft</span></span>

The radius of the trampoline is 5.97 ft. The correct answer between all the choices given is the third choice.


I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

3 0
4 years ago
15,970 divided by 20?
Zigmanuir [339]

Answer:

798.5 is your answer

Step-by-step explanation:

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8 0
3 years ago
Kathleen is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a few fri
inna [77]

Answer:

She must pay $500 for the materials, and $14 per lawn, then:

We know that the total cost is (assuming that they work for 8 weeks, 6 days per week, and 3 times per day)

C = $500 + $14*(8*6*3) = $2,516.

The total revenue that she can make (with the same assumptions as before) is:

R = N*(8*6*3)

Where N is the amount she charges for each lawn that they mowed.

R = N*144

Now, we do not know how much she charges, so the value of N is unknown.

Now, the profit is equal to the difference between the revenue and the cost, this means that the profit is:

P = R - C = N*144 - ($2,516)

P(N) = N*144 - ($2,516)

If we have, for example, N = $20, the total profit will be:

P($20) = $20*144 - ($2,516) = $364

7 0
3 years ago
A school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden.
Len [333]

Answer:

18\frac{3}{4} pounds.  

Step-by-step explanation:

Let x be the total amount of potting soil needed to complete the planting in new garden.    

We are told that a school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden. This means 2/5 of x equals to 12 1/2.

\frac{2}{5} x=12\frac{1}{2}

\frac{2}{5} x=\frac{25}{2}  

x=\frac{25}{2}\times\frac{5}{2}

x=\frac{125}{4}

To find the amount of soil needed for the next of planting we will subtract the amount of potting soil used on the first day (\frac{25}{2}) from amount of total potting soil (\frac{125}{4}).

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25}{2}

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{25\times 2}{2\times2}

\text{Amount of potting soil needed for second day}=\frac{125}{4}-\frac{50}{4}

\text{Amount of potting soil needed for second day}=\frac{75}{4}

\text{Amount of potting soil needed for second day}=\frac{75}{4}=18\frac{3}{4}

Therefore, the group will need 18\frac{3}{4} pounds of potting soil to finish their work.            

7 0
3 years ago
Inequalities: 11≤P+4?​
Naddika [18.5K]

Answer:

the answer to your question is P ≥ 7 (apologizes if this isn't the answer you are looking for)

Step-by-step explanation:

as much as I would like to, I'm really not the best at explaining things

5 0
4 years ago
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