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Answer 1

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Answer:

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A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.

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Answer:

$12+0.07x< 15+0.05x$

Step-by-step explanation:

Let x be the no. of minutes

Plan A

Monthly rental = $12

Call charges for 1 minute = 7¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.07

Call charges for x minutes = 0.07 x

Total cost of Plan A = 12+0.07x

Plan B

Monthly rental = $15

Call charges for 1 minute = 5¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.05

Call charges for x minutes = 0.05 x

Total cost of Plan B = 15+0.05x

An inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B= $12+0.07x< 15+0.05x$

Solving the inequality :

$0.07x-0.05x< 15-12$

$0.02x< 3$

$x<(3)/(0.02)$

$x<150$

So, the no. of minutes must be less than 150 for Plan A to be less expensive than Plan B

Hence an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B is $12+0.07x< 15+0.05x$

7m+12<5m+15
7m-5m+12<5m-5m+15
2m+12<15
2m+12-12<15-12
2m<3
2m/2<3/2
m<3/2

12
3
4
5
52°
4
47°
m/1 =
m/2 =
m/3=
m/4=
m/5=

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Answer:

calibrate the thermostat of the equation and 52 go into the m/2 and 47 and 4 go into m/5 and all the rest go into m/3

Slope intercept equation

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Sorry I’m confused! Maybe....

A student is trying to solve the system of two equations given below: Equation P: y + z = 4 Equation Q: 3y + 7z = 15 Which of the following steps can be used to eliminate the y term? A. –3(y + z = 4) B. 3(y + z = 4) C. –1(3y + 7z = 15) D. –3(3y + 7z = 15)

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look at them
P: 1y
Q: 3y
multiply first equation by -3 becuase 3y-3y=0
-3P
-3(y-z=4) is answer

A is answer

Find the slope between each pair of points

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Answer:

Step-by-step explanation:

y2-y1

‐---------

x2-x1

7-5

------

6-4

-- = 1

The answer is 1

This is because y2-y1/x2-x1
If you plug that in you get 5-7/4-6
That simplifies to -2/-2
Which is 1

Hope this helped!

Frank is currently using 1/3 of the space available on his computer. Pictures fill up 1/2 of the used space. How much space on Frank's computer is filled with pictures?

A. 1/2

B. 1/3

C. 1/5

D. 1/6

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the answer is D. 1/6

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