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3 years ago

Find the slope of the line

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

Answer:

$m = \frac{1}{7}$

Step-by-step explanation:

(-2,2) = (x1, y1 )

(5,3) = (x2, y2)

Slope = $\frac{y2-y1}{x2-x1}$

= $\frac{3-2}{5-(-2)}$

= $\frac{1}{5+2}$

= $\frac{1}{7}$

uranmaximum [27]3 years ago

3 0

A , rise over run, go up 1 then go to the right 7

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Using complete sentences, explain how to find the quotient of 4 5/8 ÷ 2 3/4 . Make sure to include the quotient in your answer.

xeze [42]

Answer:

$4\frac{5}{8}\div \:\:2\frac{3}{4}=\frac{37}{22}$

Step-by-step explanation:

Given

$4\frac{5}{8}\div \:2\frac{3}{4}$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{5}{8}=\frac{37}{8}$

$=\frac{37}{8}\div \:2\frac{3}{4}$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{3}{4}=\frac{11}{4}$

$=\frac{37}{8}\div \frac{11}{4}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{37}{8}\times \frac{4}{11}$

$\mathrm{Cross-cancel\:common\:factor:}\:4$

$=\frac{37}{2}\times \frac{1}{11}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{37\times \:1}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:37\times \:1=37$

$=\frac{37}{2\times \:11}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22$

$=\frac{37}{22}$

Therefore,

$4\frac{5}{8}\div \:\:2\frac{3}{4}=\frac{37}{22}$

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3 years ago

1.) you have a credit card with an initial balance of $3,168 and an interest rate of 12.75 % APR if you make no payments on the

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Answer:

1.) [B]

2.) [C]

(3.) [D]

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per month percentage rate = 1.06%

Interest after 3 months = P*R*T/100

= 3168*1.06*3/100

= 100.74 (aprox)

Balance after 3 months = 3168-100.74

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2.) Gross pay = $2759

Total interest rate = 7.65%+12%+7% = 26.65%

interest amount= 26.65% *2759 =$728.24 (aprox)

Housing and fixing expenses= $728.54 (C.)

3.) 1 hour = $8.25

1 week= 35 hours

3 weeks = 35*3 hours = 105 hours

Total income= 105 hours = $8.25*105= $866.25

Total interest to be deducted = 7.65+13+9 = 29.65 %

Income after deducting interest = $866.25-256.843 = $609.407

(D.)

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3 years ago

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