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Ugo [173]
4 years ago
10

Kevin is making a banner with area of 7 square ft width and length of banner is whole numbers what numbers are possible dimensio

ns?
Mathematics
1 answer:
stepladder [879]4 years ago
3 0

Answer:

Length = 7, width = 1.

Step-by-step explanation:

7 and 1 are the only possible dimensions as 7 is a prime number.

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
svp [43]

Answer:

Step-by-step explanation:

This is exponential, of the form

y=a(b)^x where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

y=1200(.97)^x

6 0
3 years ago
A video game displays 84 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
svetlana [45]

Answer: 21

Step-by-step explanation: 84/4 = 21

8 0
4 years ago
Jack leased a car for $159/month for 36 months. The amount due when he signed the lease was $2399. How much did Jack pay during
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Quick question before I answer: Did he have to pay $2,399 when he signed the lease, or was that just how much he had to pay in total over the course of 36 months?
6 0
3 years ago
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tal
NeX [460]
2.5 meters is the answer
7 0
3 years ago
Read 2 more answers
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