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lukranit [14]
3 years ago
15

Solve linear system using substitution y=6-2x 7x-y=3

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
\left \{ {{y=6-2x} \atop {7x-y=3}} \right. \\\\substitute\ first\ equation\ into\ the\ second\\\\
7x-(6-2x)=3\\\\
7x-6+2x=3\\\\
9x-6=3\ \ \ | add\ 6\\\\
9x=9\ \ \ | divide\ by\ 9\\\\
x=1\\\\
y=6-2*1=6-2=4
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A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail
sergey [27]

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

4 0
3 years ago
Read 2 more answers
Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses di
olga nikolaevna [1]

Answer:

8 roses

Step-by-step explanation:

First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.

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3 years ago
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Annually= per year

200 at 8% the first year would be
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6 0
3 years ago
How do I work this out can you explain how to work this out and give me the awnser please
Vaselesa [24]

Hi, to find the total surface area you need to first find the area of each face. In the end it will equal 906. Hope this helps and sorry if it is confusing.

8 0
3 years ago
Please decrease 90 by 20%
Mashcka [7]

Answer:

Step-by-step explanation:

90 by 20%

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4 0
3 years ago
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