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Reil [10]
2 years ago
6

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of so

cks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Mathematics
1 answer:
BigorU [14]2 years ago
5 0
If you would like to know which equation models the purchases Hanna made with $43.92, you can calculate this using the following steps:

x ... the number of pairs of socks
y ... the number of blouses

The correct equation would be:
$2.99 * x + $12.99 * y = $43.92
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The following data show the midterm and final exam scores in an English writing class. Student 1 2 3 4 5 6 7 8 9 10 11 12 Midter
tester [92]

Answer:

The co variance of the midterm and final exam scores is 58.76.

Step-by-step explanation:

The formula to compute the sample co variance is:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}

The values are computed in the table below.

Compute the co variance as follows:

Cov(x,y)=\frac{\sum(X-Mean\ of\ X)(Y-Mean\ of\ Y)}{n-1}\\=\frac{646.33}{12-1}\\ =58.76

Thus, the co variance of the midterm and final exam scores is 58.76.

7 0
2 years ago
The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
Crazy boy [7]

Answer:

n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

n(A) = e^{C}A^{k}

how do you have to n (1) = n_1, then

n(A) = n_1A^k

8 0
2 years ago
Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]

Answer:

h_{n}=1.(8)^{n-1} will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = \frac{\text{Second term}}{\text{First term}}

r = \frac{8}{1}=8

Since explicit formula of a geometric sequence is given by

T_{n}=a(r)^{n-1}

where T_{n} = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

T_{n}=1.(8)^{n-1}

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = 1.(8)^{n-1} then he is correct.

7 0
2 years ago
Read 2 more answers
The distance between Cincinnati, Ohio, and charlotte, North Carolina, is about 336 miles.The distance between Cincinnati and Chi
bija089 [108]
Cincinnati Ohio à<span> Charlote North CA = a total of 336 miles
Cincinnati </span>à<span> Chicago Illinois = a total of 247 miles
Perry drove from Charlote to Chicago by passing Cincinati. Find the distance she drove.
=> Note that the distance from charlotte to Cincinnati is 365 then from Cincinnati to Chicago is 247
=> 336 miles + 247 Miles
=> 583 miles
Penny drove for a total of 583 miles from Charlotte to Cincinnati to Chicago.

</span>



8 0
2 years ago
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco
Mars2501 [29]

Answer:

Mortgage option (3) would be best suited for them.

Step-by-step explanation:

Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays  about $750   monthly (as for option (1)) or about  $ 9000 annually (as  for option (2))  both may actually be more or less the same amount  since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual  fixed rate of interest of 4.25%.

Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and  repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000)  they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.

6 0
2 years ago
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