Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.

Answers

Answer 1

Answer:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

Answer 2

9514 1404 393

Answer:

  equation: 10 +0.05m = 22

  solution: Bob used 240 minutes in July

Step-by-step explanation:

Bob's bill is the total of the fixed fee and the charges based on minutes. The latter is 0.05m, where m is the number of minutes. Hence, Bob's July bill is ...

 10 + 0.05m = 22 . . . . . total of charges for July is $22

__

The equation is solved by subtracting the constant and dividing by the coefficient of m.

  0.05m = 12 . . . . . subtract 10

  m = 12/0.05 = 240

Bob used 240 minutes in July.


Related Questions

What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16

Answers

The answer for this is 101.16 aka C.

In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.

Answers

Answer:

24 amps

Step-by-step explanation:

Current = k /resistance

k = current × resistance

= 40 × 12

= 480

If the resistance is 20 ohms then the current can be calculated as follows

Current = 480/20

= 24 amps


Find the sale price of the item. Round to two decimal places when
necessary. *
Original Price: $40.00; Markdown: 15%
$46
$34
$42
$32

Answers

First, determine what 15% of $40 is.

Convert 15% to a decimal: 0.15

Then multiply this decimal by $40: 0.15 x 40 = 6

So the discount is $6.

We subtract the discount from original price to get sale price.

40-6= 34

So the item will cost $34.

A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?

Answers

Y = 3x + b
9 = 3(6) + b
9 = 18 + b, b = -9
Y = 3x - 9

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]


We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

Learn more about the straight line here:

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Put these over a common denominator: ³/5 and 4/7

Answers

ANSWER 35

Step-by-step explanation:

7 and 5 - 35

Now just simplify the 3 and 4 :)

If f(x) = -3x + 5, find f(6.4).

Answers

Answer:

-14.2

Step-by-step explanation:

f(x)=-3x+5 Write original equation

f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.

=-14.2 Solve

Help... pls ASAP Fill in the blanks

Answers

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

Solve 3(x-4)=12x ......

Answers

Answer:

The answer is x= -4/3

Step-by-step explanation:

3(x-4)=12x

=3x-12=12x

=3x-3x-12=12x-3x

-12=9x

To find x divide both sides by 9.

-12÷9=9x÷9

-4/3=x

-14x + 18 - 11 -2x + 3

Answers

Answer:

-2(8x-5)

Step-by-step explanation:

Answer:

I think you meant -14x+18-11-2x+3=0

If that's the case then x= 5/8

Step-by-step explanation:

-16x+10=0

-16x= -10

x= -10/-16 = 5/8

In decimal form it is 0.625

on someone plz help it is timed i will give Brainliest if correct

Answers

Answer:

D.

Step-by-step explanation:

Solve cos x + √2 = -cos x for x over the interval [0, 2Π)

Answers

Answer:

[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Equations

It's required to solve:

[tex]\cos x+\sqrt{2}=-\cos x[/tex]

for [tex]x\in [0,2\pi)[/tex]

Adding cos x:

[tex]2\cos x+\sqrt{2}=0[/tex]

Subtracting [tex]\sqrt{2}[/tex]

[tex]2\cos x=-\sqrt{2}[/tex]

Dividing by 2:

[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]

Solving for x:

[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]

We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.

These angles lie on the quadrants III and IV respectively and they are:

x=135°, x=225°

Converting to radians:

135 * π / 180 = 3π/4

225 * π / 180 = 5π/4

The two solutions are:

[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]

[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]

Answer:

The correct answer is option C

Step-by-step explanation:

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Answers

Answer:

x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

x = -2

Help meeee!will give brainliest!

Answers

It is (0,-1) hope that helps

Answer

(2,0) Brainliest please

Step-by-step explanation:

What is the slope of the line through the points (5,2) and (-3, -7).

Answers

Answer:

8/9

Step-by-step explanation:

Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

she had 26 wrong answers

Use the figure to find the measure of Angle 6.

Answers

Answer:

40

Step-by-step explanation:

140-180= 40

i need to know the answer to this please ive been trying to figure it out forever now and i dont know what to do

Answers

The to this question is that it is a function

Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive.

Answers

Answer:

592 miles

Step-by-step explanation:

Answer:

592 miles

Step-by-step explanation:

1. To figure out how many miles Jordan drove, multiply 6 by 55. 6 x 55 = 330.

2. To figure out how many miles Matt drove, multiply 3 by 60. 3 x 60 = 180.

3. Add 330 and 180 together to find out how many miles they drove in total. 330 + 180 = 510 miles.

4. Add Isaac's 82 miles to 510 miles to get the answer of 592 miles.

Which expression is equivalent to (m^2-3m+7)(m-5)^-1

Answers

Answer:

a

Step-by-step explanation:

PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer

Answers

Answer:

the answer is the second choice

Step-by-step explanation:

hopefully this helps :)

Lukas is running a lemonade stand on a hot summer day. He spent $14 for the materials and earns $1.50 for each cup of lemonade sold. What is an equation that relates the number of cups of lemonade sold, c and the profit earned, P, and explain whether Lukas selling 19.5 cups is a viable solution.

Answers

The equation would be 1.50x - 14 = P

If lucas sells 19. cups then that means he will earn a total of 29.25$ but since he spent 14$ for the materials itself that concludes to the total being 15.25.This would be a viable solution because he is earning more money then  he is loosing.

Simplify the expression.
49^3/2

Answers

Answer:

i think its 58824.5

Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football field where 1 unit = 20 feet. A) what is the length of the field. B) what is the perimeter of the field. C) Turf costs $2.69 per square foot. Your school has a $150,000 budget. Does the school have enough money to purchase new turf for the entire field? Please show the steps.

Answers

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

A) The length of the field is 360 feet

B) The Perimeter of field is 1040 feet

C) The  school does not have enough money to purchase new turf for the entire field.

what is Area of rectangle?

The Area of rectangle is the product of the length to its width.

Area of rectangle= length x width

Given:

1 block= 20 feet

A) length= 18 blocks

          = 18 x 20

          = 360 feet

width= 8 blocks

          = 8 x 20

          = 160 feet

B) Perimeter of field

= 2( l+w)

=2( 360 + 160)

= 2 x 520

= 1040 feet

C) Area of field

= l x w

=360 x 160

= 57600 feet²

If cost of 1 square feet is $2.96

and, the cost of  57600 feet²

= 2.96 x 57600

= $170,496

No, the school does not have enough money to purchase new turf for the entire field.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

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A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the schools students 32% of them plan to go into general practice. Find the p- value for a test of the schools claim

Answers

Answer: 0.1548

Step-by-step explanation:

The P value can be calculated from the value of the test statistic :

H0 : p ≤ 0.28

H1 : p > 0.28

Zstat :

(p - p0) / √((p0(1-p0))/n)

p = 0.32 ; p0 = 0.28 ; n = 130

(0.32 - 0.28) / √((0.28(1 - 0.28))/130)

Zstat = 1.0157490

Zstat = 1.016

Using a 0.05 significance ;

The P value obtained using the p value from z statistic calculator is 0.154815

PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE

Answers

Answer:

Both graphs are proportional

Step-by-step explanation:

in the first graph the x is multiplied by 3 to get y. in the second, you are getting rid of 1/3 of x to get y

Plz help fast and correct!!!! (I will report if answer is stupid!!!)

Answers

slope for both is 1/2
A.
Slope: 4/3
Y-int: 2
Equation: y = 4/3x + 2

B.
Slope: -1/3
Y-int: -1
Equation: y= -1/3x - 1

Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?

Answers

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

How do these results about area and perimeter of similar quadrilaterals compare with similar situations for triangles?

Answers

Answer:

Let's see

Step-by-step explanation:

Two triangles are same ∆1 and ∆2

They have same height and breath

Now ∆1= ∆2

=> ar(∆1)= ar(∆2)

The same is for quadrilaterals

the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

The wholesale price of a bicycle is $120. If the store wants to mark up the bicycle 40%, what is the final price

Answers

The answer would be 300 I believe because 120 divided by 40% is 300 :)

Solve the given system using elimination.

Answers

Answer:

s = 1

t = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

Subtract t on both sides:                    15s = -t + 5Multiply both sides by 3:                    45s = -3t + 15

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

Combine equations:                    49s = 49Divide 49 on both sides:             s = 1

Step 5: Solve for t

Define equation:                     15s + t = 5Substitute in s:                         15(1) + t = 5Multiply:                                   15 + t = 5Isolate t:                                   t = -10

Answer:

Explanation is below

Step-by-step explanation:

Here ya go

Step 1

15s+t=5,4s=3t+34  Question

Step 2

4s=3t+34  Substitute  -15s+5

4s=3(-15s+5)+34

s=1

Step 3

t=-15s+5  Substitute 1 for s

t=(-15)(1)+5

t=-10

answer

s=1

t=-10

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