Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true? Trevor is planning to use at least a 100 minutes for local a month. Which company would be cheaper for Trevor to use?

Answers

Answer 1

Answer: Trevor's argument will be true if he used 100 minutes.

Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.

Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is

32.25 + 0.11x

Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is

14.25 + 0.32x

For both costs to be the same, the number of minutes would be

35.25 + 0.11x = 14.25 + 0.32x

0.32x - 0.11x = 35.25 - 14.25

0.21x = 21

x = 21/0.21 = 100

Step-by-step explanation:


Related Questions

what is the difference between mutiplying and adding polynomials

Answers

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

A pet store has two types of betta fish ref betta fish and blue betta fish a customer notices that 7 out of 12 betta fish in the store are red what is the ratio of blue betta fish to red betta fish?

Answers

Answer:

5:7

Step-by-step explanation:

A pet store has two types of betta fish which is red and blue

She noticed that 7 out of the 12 beta fishes are red

This means that there are 7 red beta fishes and 5 blue betta fishes

Therefore the ratio of blue betta fish to red betta fish is

= 5:7

If DE=2x-1, what is the value of x

1. 7
2. 7.5
3. 8
4. 8.5

Answers

Taking into account the 90° rotation: A is D, B is E, and C is F. So, the corresponding side on Triangle ABC to the side DE(2x - 1) is AB (16).

16 = 2x - 1

Add 1 on both sides

17 = 2x

Divide by 2 on both sides

8.5 = x

I believe this is your answer

The value of the variable 'x' will be 8.5. Then the correct option is D.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

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What are the domain and range of x= -2?

Answers

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

What is the difference between an image under a dilation with a scale factor 0 1

Answers

is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.

Which expression is equivalent to (−3n+18m)−(112m−n)?

Answers

Answer:

I believe it is -94m-2n

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)

Answers

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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Do you know the answer

Answers

Answer:

y=2x+2

Step-by-step explanation:

The * stands for multiplication.

0*2+2=2

3*2+2=8

6*2+2=14

All of these statements are true, so this should be the correct answer.

Which question can be answered using the expression 1/3÷ 3/4 ​

Answers

Answer:

Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?

Step-by-step explanation:

Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.

Good luck!

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Word problems involving equations

Algebraic equations are ways we can solve real life apllications.

Given the division problem

1/3÷ 3/4 ​

This can be written usng this statement:

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

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slope= 1/4, y intercept=2

Answers

Answer:y = mx + b formaty = 1/4x + 2Hope this helps!!

If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?

Answers

-7/3

Step-by-step explanation: is the answer for odyssey ware

SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)

Answers

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg

Answers

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

Please help I’m stuck on this one!

Answers

Answer: The length of JK is 10.5 m

Step-by-step explanation:

Find the circumference C= dπ

C = 12π

C= 37.7

There are 360 degrees in a circle's circumference, so you can find the length of the arc by using the ratio of the arc to the whole circumference.

Multiply the Circumference by 100/360  (or 5/18 × 37.7)

The arc is 10.5 m

A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slop, and b is the y intercept

if m is the slop then we can plug that into the equation

y=2x+b

next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.

y=2x+0

eliminate the 0

y=2x is your equation

Step-by-step explanation:

HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

Answers

Answer:

corresponding angles

Alternate angle

cointerior angle

Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.

Answers

Answer:

Serena earns $7.50 per hour more than Gabe

Step-by-step explanation:

Given

Serena:

[tex]m = 21h[/tex]

Gabe

Earnings: $13.50 per hour  ----- Missing Part of equation

Required

How much more does Serena earn per hour

For Serena

[tex]m = 21h[/tex] implies that She earns $21 per hour

So, to determine how much more She earns, we simply calculate the difference.

[tex]Difference = \$21 - \$13.50[/tex] (per hour)

[tex]Difference = \$7.50[/tex] (per hour)

The difference implies that Serena earns $7.50 per hour more than Gabe

solve the equation 4x²+4x+1=0​

Answers

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

Find the equation of a line that passes through the points (6,7) and (8,3).
Leave your answer in the form
y = mx + c

Answers

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

Which one is right *Will make BRAINLEST*

Answers

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

(-1,1) and (0,4) are on the line what is the linear equation in standard form

Answers

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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A container of water holds 128 fluid ounces. Toya drinks 8 fluid ounces of water every hour. How many fluid ounces are in the container after 8 hours

Answers

Answer: 64 fluid ounces

Step-by-step explanation:

Amount of water in the container = 128 fluid ounces

Amount drank by Toya every hour = 8 fluid ounces

For 8 hours, Toya would have drank:

= 8 × 8 fluid ounces

= 64 fluid ounces

To calculate the amount of fluid ounces

thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:

= 128 fluid ounces - 64 fluid ounces

= 64 fluid ounces

3. x + y = 15
X - y = 3
solving systems of equations

Answers

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

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Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar

Answers

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Pls help me I have no idea

Answers

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $

Answers

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

8 1/6 - 2 7/8 =

ANSWER ASAPPP .... AND ILL MARK BRAINLIEST

Answers

Answer:

5  7/24

Step-by-step explanation:

Answer:

5.29

Step-by-step explanation:

Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

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