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3 years ago

Write the slope-intercept form of the equation of the line through the given points:

Mathematics

1 answer:

vredina [299]3 years ago

3 0

Answer:

equation of line

x-2y=8

Step-by-step explanation:

equation of line in slope intercept form

(y-y1)={(y2-y1)/(x2-x1)}(x-x1)

or,(y+3)={(-5+3)/(-2-2)}(x-2)

or,(y+3)=(1/2)(x-2)

or,2y+6=x-2

or,6+2 =x-2y

or,x-2y=8

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki

Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

$x+y+z=120$ ------> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=120$

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

<em>Find the value of x</em>

$x=\frac{2}{3}(36)=24$

<em>Find the value of z</em>

$z=\frac{5}{3}(36)=60$

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

$\$60-\$24=\$36$

therefore

Jessica makes $36 less than Kimmie

7 0

3 years ago

Find a difference 118.419 - 6.74

nevsk [136]

Step-by-step explanation:

The difference between 118.419 and 6.74 is

= 111.679

Hope it helps

7 0

3 years ago

Thirty-two cyclists make a seven-day trip. Each cyclist requires 8.33 kilograms of food for the entire trip. If each cyclist wan

kvasek [131]

Answer:

76.16 kilograms of food

Step-by-step explanation:

Number of cyclist = 32

Food per cyclist = 8.33 kilograms

Days of the trip = 7 days

Food per cyclist per day = 8.33 kg / 7

= 1.19kg food per day for each cyclist

how many kilograms of food will the group be carrying at the end of Day 5?

5 days out of 7 days = 2 days

Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days

= 2 × 1.19

= 2.38 kilograms of food for two days

32 cyclist for 2 days = 32 × 2.38 kg of food

= 76.16 kilograms of food

The group will be carrying 76.16 kilograms of food at the end of Day 5

3 0

3 years ago

A lender requires PMI that is 0.8% of the loan amount of $470,000. How much (in dollars) will this add to the borrower's monthly

Ainat [17]

The amount add to the borrower's monthly payment is $313.33.

Given that lender requires PMI that is 0.8% of the loan amount of $470,000.

A loan's PMI, or personal mortgage insurance, is a type of mortgage insurance used by lenders when making traditional loans such as home loans. A PMI helps cover the loss to the lender (bank) if the borrower stops making monthly mortgage payments on their home loan. Therefore, the PMI can be described as a kind of risk mitigation tool for the bank when the borrower defaults on their EMIs (monthly mortgage payments). So, PMI for a borrower is an additional cost or payment for the borrower on top of his monthly payments i.e. EMI.

Thus, the additional amount of dollars that the borrower has to pay for the PMI on his loan along with his monthly mortgage payments

= Principal Loan amount × (PMI/12)

= $470,000 × (0.8%/12)

= $470,000 × (0.008/12)

= $470,000 × 0.0006666667

=$313.333349

Hence, the additional monthly payment for PMI where lender requires PMI that is 0.8% of the loan amount of $470,000 is $313.33.

Learn more about mortgage payment from here brainly.com/question/10400598

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8 0

2 years ago

Cody started biking to the park traveling 15 mph, after some time the bike got a flat so Cody walked the rest of the way, travel

vovangra [49]

Answer:

2 hours at 15mph

4 hours at 4mph

Step-by-step explanation:

3 0

3 years ago