A cell phone company offers two plans.
Plan A has a monthly fee of $26.50 and charges $0.35/minute.
Plan B has a monthly fee of $42.50 and charges $0.15/minute.
How many minutes make Plan A and Plan B equal to each other?

Answers

Answer 1

Answer:

80 minutes

Step-by-step explanation:

Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.  

Represent Plan A as y = $42.50 + ($0.15/min)x

We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:

y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x

Combining like terms, we get:             ($0.20/min)x = $16.00

                 

                  $16.00

Then x = -------------------- = 80 minutes

                 ($0.20/min)


Related Questions

Please help me due today easy question

Answers

Answer:

$24.00 dollars. The problem is confusing, so sorry if this is wrong.

Step-by-step explanation:

It is 24 dollars. I got it from the first.

can someone help me ill give a brainiest

Answers

1. 500% Increase

2. 40% Decrease

3. 75% Increase

4. 62.5% Increase

five more than three times a number is 26 what is the number

Answers

Answer:

The required number is 7

Step-by-step explanation:

Let a number = x

We are given the condition: five more than three times a number is 26

We need to find the number.

Writing the condition in mathematical form:

five more than three times a number is 26: [tex]3x+5=26[/tex]

Now, solving this equation we can find x, the number

[tex]3x+5=26\\[/tex]

Subtract 5 from both sides

[tex]3x+5-5=26-5\\3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]

So, we get: x = 7

The required number is 7

helpppppppppppppppppppppppppppppppppppppppppppp​

Answers

Answer:

I can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one- 40

the second one- 2.5

This should be correct if I did my math correctly

My question is regarding cylinders plz.. Here it goes - a student winds a strip of paper eight times round a cylindrical pencil of diameter 7mm. Use the value 22/7 for π to find the length of the paper (ignore the thickness of the paper) pls I don't understand this .. Pls help

Answers

Answer:

176cm

Step-by-step explanation:

Step 1

We find the circumference of the cylinder

The formula for the Circumference = 2πr or πD

π = 22/7

Hence;

22/7 × 7

= 22

Since the strip of paper eight times round a cylindrical pencil of diameter 7mm, the length of the paper is calculated as: 22 × 8

= 176cm

WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN

Answers

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

what is the anser to the equation 2^{2x+2} = 2^{3x}
A) x = 2.5
B) x = 1
C) x = 2
D) x = -2

Answers

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

How many times do 5 go into 8

Answers

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

Segments DE and AB are parallel

Answers

Answer:

yes segment DE and AB are parallel

Answer:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Step-by-step explanation:

We use the proportion among similar triangles:

CE/CD = CB/AC

and solve for CB:

CB = (CE*AC)/CD

Which agrees with the second answer listed

Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters

Answers

The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.

Area of a circle

area = πr²

where

r = radius of the circle

The area of the shaded portion is the difference of the area of the large and small circle.

Therefore,

area of the large circle = πr²

area of the large circle = 3.14 × 24²

area of the large circle = 3.14 × 576

area of the large circle = 1808.64 m²

Therefore,

area of the small circle = 3.14 × 6²

area of the small circle = 3.14 × 36

area of the small circle = 113.04 m²

The area of the shaded region  = 1808.64 - 113.04 = 1695.6 m²

learn more on area here: https://brainly.com/question/16761235

105 people are going to a movie 6 people can ride in each car how many cars are needed to get all 105 people to the movie

Answers

Answer:

17.5

105 divided by 6 equals 17.5

18 cars are needed to get all 105 people to the movie.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, 105 people are going to a movie 6 people can ride in each car.

Let the number of cars required be x.

Now, x= Total number of people/Number of people in each car

= 105/6

= 17.5

≈ 18

Therefore, 18 cars are needed to get all 105 people to the movie.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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help me pleaseee will give brainliest

Answers

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

What is the slope of the line 6x + y = 24?

Answers

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

HI PLS I NEED HELPPPPPP NO DUMDUM ANSWERS I LEGIT NEED HELP

Answers

9514 1404 393

Answer:

  Part A: C) The order of discounts does not matter.

  Part B: both prices are $54.91

Step-by-step explanation:

Part A:

The calculation of the final price can be ...

  ((original price)·(1 - membership discount))·(1 -sale discount)

  = ((original price)(0.88))(0.80)

The associative and commutative properties of multiplication tell you this is fully equivalent to ...

  = (original price)(0.80)(0.88)

In short, the order of discounts does not matter.

__

Part B:

When the membership discount is applied first, the final price is ...

  ($78)(0.88)×0.80 = $68.64·0.80 = $54.91

When the sale discount is applied first, the final price is ...

  ($78)(0.80)×0.88 = $62.40·0.88 = $54.91

solve the inequality -2z-3<5. what is the value of z?

Answers

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.​

Answers

Answer:

105 quarts an hour

Step-by-step explanation:

divide 210 by 2

Are these triangles similar?

Answers

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

which set of vaules could be the side lengths of a 30-60-90 triangle

Answers

Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.

Step-by-step explanation:

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

We have,

In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.

The side lengths of a 30-60-90 triangle have a specific ratio.

Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.

The ratios of the side lengths in a 30-60-90 triangle are as follows:

Shortest side: x

Side opposite 60-degree angle: y = x√3

Hypotenuse: z = 2x

Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.

The values must satisfy the above relationships.

Possible sets of values for the side lengths of a 30-60-90 triangle are:

Set 1:

x = 1

y = x√3 = √3

z = 2x = 2

Set 2:

x = 2

y = x√3 = 2√3

z = 2x = 4

Set 3:

x = 3

y = x√3 = 3√3

z = 2x = 6

Set 4:

x = k (where k is any positive constant)

y = x√3 = k√3

z = 2x = 2k

These sets of values satisfy the ratios for a 30-60-90 triangle.

Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.

So,

Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.

Thus,

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

Learn more about triangles here:

https://brainly.com/question/25950519

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Identify the data that is quantitative.
total number of grocery stores
types of expenses for a grocery store
types of products sold in a grocery store
style of restaurants in a grocery store

Answers

Types of products for a grocery store

Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6

Answers

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

I'm having trouble with this question from writing linear equations given two points worksheet by Kuta software can you help? question: (-20, -16), (-1, 18)

Answers

Answer:

19y - 34x = 376

Step-by-step explanation:

We are to write the linear equation of a line passing through the points

(-20, -16), (-1, 18)

Using the points slope form of the equation expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is any point on the line

m = y2-y1/x2-x1

m = 18-(-16)/-1-(-20)

m = 18+16/-1+20

m = 34/19

Substitute the slope m =34/19 and the point (-1, 18) into the expression given

y- 18 =34/19(x-(-1))

19(y-18) = 34(x+1)

19y - 342 = 34x+34

19y-34x = 34+342

19y - 34x = 376

Hence the required equation is 19y - 34x = 376

Hey guys I need help what is 361.5 divided by 12

Answers

Answer:

180.75

Step-by-step explanation:

You earned $44.55 in 9 hours.Your friend earns $51 in 12 hours.How much do you and your friend each together earn if you work 20 hours?

Answers

Answer:

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Step-by-step explanation:

44.55/9 = hourly earnings

                4.95 per hour

51/12= hourly earnings

                    4.25 per hour

4.95 * 20 = 99 your earnings

4.25 * 20 = 85 friends earnings

Solve the inequality |3t+1| > 8.

Answers

Solve the inequality |3t+1| > 8.

ANSWER

[tex]t < - 3 \:[/tex]

or

[tex]t > \frac{7}{3} [/tex]

What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3

Answers

Answer:

The answer is A) x equals 3

Identify the function graphed.

Answers

Answer:

its B, A, C

Step-by-step explanation:

correct on edge

Help me find the measure of each numbered angle please!

Answers

Answer:

Hope this helps

Step-by-step explanation:

Round your answer to the nearest tenth.

Answers

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

2 (x - 3) + 1/2 (6x)

Answers

Answer:

[tex]5x-6[/tex]

Step-by-step explanation:

Answer:

5x-6

Step-by-step explanation:

Here is the simplified version and I'm guessing that's what you need

2(x-3) + 1/2 (6x)   Now we distribute

2x-6+3x      Combine the like terms

5x-6    

Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!

Answers

Answer: (16/25)

Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.

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