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fgiga [73]
3 years ago
11

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided or use the upload option to submit your solution. (6, 1) and (5, 4)
Mathematics
1 answer:
kipiarov [429]3 years ago
4 0
I think that the answer would be 5,2 but I’m not 100% sure about that. You can correct me if I need another answer
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Which is the correct algebraic expression after combining like terms? 6 c d + 3 c minus 7 d minus 3 c d + 4 d + one-third c 3 c
IgorC [24]

Answer:

3cd+3\frac{1}{3}c - 3d OR 3cd + 3 and one-thirds c minus 3d

Step-by-step explanation:

Given the algebraic expression:

6cd+3c-7d-3cd+4d+\frac{1}{3}c

Combining like terms

= 6cd-3cd+3c+\frac{c}{3}-7d+4d\\ \\= 3cd + \frac{10c}{3} -3d\\\\= 3cd+3\frac{1}{3}c-3d

The final expression gives the required answer on combining the like terms.

6 0
3 years ago
Read 2 more answers
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
Effectus [21]

<u>Solution-</u>

The price of the snow thrower = $1980

He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.

<u>A. How much is the down payment</u>

Down payment amount is, 10% of $1980, i.e

=1980\times \dfrac{10}{100}=\dfrac{1980}{10}=\$198

<u>B. What is the total amount of the monthly payments</u>

A monthly payment of $116 for 18 months, i.e

=116\times 18=\$2088

<u>C. How much did Jean pay for the snow thrower on the installment plan</u>

It is the sum of down-payment and total monthly payments, i.e

=198+2088=\$2286

<u>D. What is the total finance charge</u>

It the difference between the original price and the amount paid by Jean, i.e

=2286-1980=\$306

<u> E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d</u>

As he paid the down-payment of $198 and then a constant monthly payment of $116, so

The first term = 198

common difference = 116

The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286

4 0
3 years ago
By what percent has the rhinoceros weight increased
romanna [79]

let's first off  convert those mixed fractions to improper fractions, then get their difference.

\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{10}-\cfrac{3}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(1)21-(5)3}{10}}\implies \cfrac{21-15}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}

now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2}\\ \frac{3}{2}&100\\\\ \frac{3}{5}&x \end{array}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{5}}=\cfrac{100}{x}\implies \cfrac{3}{2}\cdot \cfrac{5}{3}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40

4 0
3 years ago
A 6-foot piece of ribbon costs $15.84. What is the price per inch?
sleet_krkn [62]

Answer:

$0.22/inch

Step-by-step explanation:

6 ft = 72 inches

15.84/72 =0.22

6 0
3 years ago
Read 2 more answers
suppose Monica walks 1 kilometer every 15 minutes how many meters further can she walk in 1 hour at this new rate
zzz [600]
If Monica walks
1km...........................15min
?km............................60min
60/15=4
Monica walks 4km in 60 min(1H)
1km=1,000m
4km=4,000m in 1 hour
6 0
3 years ago
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