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TiliK225 [7]
3 years ago
14

A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 p

lus an additional $0.12 for
each minute of calls.

For what amount of calling do the two plans cost the same?

What is the cost when the two plans cost the same?
Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

  • 425 min
  • $80

Step-by-step explanation:

<u>The equation to reflect the monthly plans:</u>

  • Plan A f(x) = 0.16x + 12
  • Plan B g(x) = 0.12x + 29

<u>We need to find the value of x when f(x) = g(x):</u>

  • 0.16x + 12 = 0.12x + 29
  • 0.16x - 0.12x = 29 - 12
  • 0.04x = 17
  • x = 17/0.04
  • x = 425 minutes

<u>The cost is:</u>

  • $0.16*425 + $12 = $80
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Complete the equation of the line through <br><br>(-8, 8,) and (1, -10)
Dahasolnce [82]

Answer:

Equation of a line has form of y = ax + b

This line passes (-8, 8) and (1, 10), then:

-8 = -8 x a + b

10 = a + b

Subtract 2nd equation to 1st equation, then:

18 = 9 x a

=> a = 2

=> b = 10 - 2 = 8

=> y = 2x + 8

Hope this helps!

:)

6 0
3 years ago
Liam has bought 48 feet of fencing that he will use to build a pig pen. List 6 different dimensions he could create for his pen
Reptile [31]
I assume, that this pen is rectangular. 

Look, that  48 = 24 * 2 = 12 * 2 * 2 = 3 * 2 * 2 * 2 * 2
And know choose these numbers and multiply! 

First dimension:  3*2 x 2*2*2 = 6 x 8
Second:   3 x 2*2*2*2 = 3 x 16
Third: 3*2*2 x 2*2 = 12 x 4
Fourth: 3*2*2*2 x 2 = 24 x 2
Fifth: 48 x 1
Sixth dimension cannot be integer. So you can for example save this  as
48 = 3 * 16 = 1.5 * 2 * 16 = 1.5 * 32

Sixth dimension:  1.5  x  32

NOTE: each dimensions are in feet!


6 0
3 years ago
Which of the following terms correctly describe the object below?
faltersainse [42]

Answer:

A. Solid

B. Pyramid

c. Prism

Step-by-step explanation:

Hope it helps you in your learning process.

8 0
3 years ago
Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.
andrew11 [14]

Answer: 14.32 units

Step-by-step explanation:

The formula for calculate the distance between two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

In this case, given the points (-2,8) and (11,2), we can identify that:

x_2=11\\x_1=-2\\\\y_2=2\\y_1=8

Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):

d=\sqrt{(11-(-2))^2+(2-8)^2}\\\\d=14.32\ units

7 0
3 years ago
How would I solve this equation?
sergiy2304 [10]

Let's solve your equation step-by-step.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span>
Step 1: Simplify both sides of the equation.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span><span>
Simplify: (Show steps)</span><span><span><span>
2x</span>+<span>2/3</span></span>=5</span>
Step 2: Subtract 2/3 from both sides.<span><span><span><span>
2x</span>+<span>2/3</span></span>−<span>2/3</span></span>=<span>5−<span>2/3</span></span></span><span><span>
2x</span>=<span>13/3</span></span>
Step 3: Divide both sides by 2.<span><span><span>
2x/</span>2</span>=<span><span>13/3/</span>2</span></span><span>
x=<span>13/6</span></span>
Answer:<span>
x=<span>13/<span>6</span></span></span>
8 0
3 years ago
Read 2 more answers
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