Alma is choosing a new smartphone and cellular service plan. Let p be the phone’s price in dollars, m be the cost of the selected plan in dollars per month, and C be Alma’s total cost in dollars after time t, measured in months of service. Write an equation that expresses C in terms of p, m, and t. Then solve your equation for t.

Answers

Answer 1

The value of the expression for t will be

t = (C - p)/m

How to calculate the equation?

Let p = the phone’s price in dollars

m = the cost of the selected plan in dollars per month

C = Alma’s total cost in dollars after time t, measured in months of service.

Therefore, the equation that expresses C in terms of p, m, and t will be:

C = p + m(t)

To find t will be:

C = p + m(t)

Subtract p from both sides

C - p = m(t)

Divide through by m

t = (C - p)/m

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Related Questions

Please Help Important!!!!!!

Answers

Seeing that substituting the value x ≤ -2, did not yield a result that is correct with the equation x5 +7 > x3 we can say that Sam's conjecture is incorrect

Given data

x ≤ -2

x5 +7 > x3

How to test Sam's conjecture

Sam's conjecture is tested by substituting the value x ≤ -2 into the equation x5 +7 > x3.  If the result is in accordance with the equation then Sam's conjecture is correct, however if the result is not in accordance with the equation the Sam's conjecture is incorrect.

The substitution will give

( -2 )^5 + 7 > ( -2 )^3

-32 + 7 > -8

-25 > -8  (since -25 is less than -8, Sam's conjecture is incorrect )

Seeing that substituting the value x ≤ -2, did not yield a result that is correct we can say that Sam's conjecture is incorrect

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In which place is the digit in the number 5,341 that would it be changed to 5,841 how to how do the values of two numbers compare

Answers

We get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.

We want to change the digit in the number 5,341 into 5,841.

We also need to find the difference between the numbers.

The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit will be replaced by 8  to form the number 5,841.

This means that 300 is replaced by 800 because the third place in both the numbers is of hundreds.

The difference between 800 and 300 is:

800 - 300 = 500.

Subtraction of 5,341 from 5,841 also yields 500.

Therefore, we get that, the digit is in the 3rd place (hundreds).The difference between the numbers is 500.

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two sides of a right triangle measure 222 units and 444 units. 2\text{ units}2 units4\text{ units}4 units what is the area of the square that shares a side with the third side of the triangle?

Answers

With the help of Pythagoras Theorem for triangles, we get that the possible areas of the square are: 12 sq. units and 20 sq. units, according to the cases mentioned.

What is Pythagoras Theorem?

According to the Pythagoras Theorem, in a right angled triangle, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given:

Sides of a right triangle are 2 and 4 units.

To find: Area of a square that shares a side with the third side of the triangle.

Finding:

There can the following cases:

If 2 and 4 units are the lengths of the perpendicular sides.

Then, by Pythagoras Theorem, -

[tex]H^{2} = 2^{2}+4^{2}\\ H^{2} = Side^{2}\\H=Side \\H= \sqrt{4+16} \\H= \sqrt{20} \\H= 2\sqrt{5}[/tex]

Hence, the area of the square = side² = 20 units²

If 4 units is the length of hypotenuse.

Then, by Pythagoras Theorem,

[tex]4^{2} = 2^{2} + A^{2} \\16 - 4 = A^{2} \\= \sqrt{12}\\[/tex]

side of triangle = [tex]\sqrt{12}[/tex]

Hence, the area of the square = side² = 12 units²

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Answer(with steps pls)

Answers

Answer:

b. No

Step-by-step explanation:

7/6 can be changed to an equivalent ratio(fraction) by multiplying by the same number on top and on the bottom.

example:

7/6 = 7×3 / 6×3

= 21/18

21/18 is equivalent to 7/6.

7 doesn't even go into 52 for one thing. But 6×8 is 48 so try 8.

7/6 = 7×8 / 6×8

= 56/48

56/48 is equivalent to 7/6, not 52/48

okay this is another question for you my good friend jdoe0001

Answers

The independent variable: lengths of the sides

The dependent variable: the perimeter of a square,

K(5) = 20.

What is the Dependent and Independent variable of a Function?

The dependent variable of a function is the output of a function that changes as a result of any change in the independent variable, which is the input of the function.

The input (independent variable) determines the output (dependent variable) of a function.

Therefore, we can make the following deductions:

The independent variable, x, represents lengths of the sides, and the dependent variable is the perimeter of a square, because the perimeter of the square depends on the length of the side of the square.

The function that relates to the variables is: K(x) = 4x

So, K(5) = 4(5) = 20.

This means, if 5 is the length of one of the sides of the square, then 20 is the perimeter of the square.

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The average of five numbers is 72, two of them are 70 and 74. Find the average of the other three numbers.​

Answers

The average of the other 3 numbers is 72.

Average or mean is a measure of central tendency which calculates the central point of a data-set.

Average of a set of numbers is calculated by taking the sum of the numbers and dividing it by the total frequency of the numbers.

If 3 numbers a , b and c are taken then the average is equal to

(a+b+c) ÷3

Given average of 5 numbers is 72.

Therefore the sum of the numbers is  72 × 5 = 360

Two of the numbers are 70 and 74 .

Sum of the remaining 3 numbers = 360 - (70 + 74) = 360 - 144 = 216

Average of the 3 numbers = 216 ÷ 3 = 72

Therefore the average of the remaining 3 numbers is 72.

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find the percent of change when 25 meters change to 30 meters

Answers

Answer:

20 %

Step-by-step explanation:

There was a change from 25 m to 30 m. When we find percentage change of something, we first calculate the difference of final and initial value. Then divide it by initial value × 100.

Change:

= 30 m - 25 m

= 5 m

% change:

= 5 m / 25 m × 100

= 100 / 5

= 20 % (ans)

what is the solution to this problem? 2 | x+5 | =4

Answers

Answer:

x = -7
x = -3

Step-by-step explanation:

Given the following question:

[tex]2\left|x+5\right|=4[/tex]

To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.

[tex]2\left|x+5\right|=4[/tex]
[tex]\frac{2\left|x+5\right|}{2}=\frac{4}{2}[/tex]
[tex]\left|x+5\right|=2[/tex]
Apply absolute value:
[tex]x+5=-2[/tex]
[tex]x+5=2[/tex]
Solve each equation:
[tex]x+5=-2[/tex]
[tex]5-5=0[/tex]
[tex]-2-5=-7[/tex]
[tex]x=-7[/tex]
[tex]x+5=2[/tex]
[tex]5-5=0[/tex]
[tex]2-5=-3[/tex]
[tex]x=-3[/tex]


Your answers are "x = -3 and x = -7."

Hope this helps.

Answer:

x = -3

x= -7

Step-by-step explanation:

l x + 5 l = 4/2

(x + 5) = 2 or - (x + 5) = 2

- (x + 5) - 5 = 2 - 5

x = -3

- x - 5 = 2

- x - 5 + 5 = 2 + 5

-x = 7

x = -7

5/6=1/3+d


omg help mee

Answers

Answer:

[tex]d=1/2[/tex]

How to solve:

Group.Find d.

Step-by-step explanation:

[tex]\frac{5}{6}=\frac{1}{3}+d\\\frac{1}{3}+d=\frac{5}{6}[/tex]

Group

[tex]\frac{1}{3}+d=\frac{5}{6}\\\frac{1}{3}+d-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1}{3}+\frac{-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{1-1}{3}=\frac{5}{6}-\frac{1}{3}\\d+\frac{0}{3}=\frac{5}{6}-\frac{1}{3}\\d+0=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}-\frac{1}{3}\\d=\frac{5}{6}+\frac{-1\cdot 2}{3\cdot 2}\\d=\frac{5}{6}+\frac{-1\cdot 2}{6}\\d=\frac{5}{6}+\frac{-2}{6}\\d=\frac{5-2}{6}\\d=\frac{3}{6}\\d=\frac{1\cdot 3}{2\cdot 3}\\d=\frac{1}{2}[/tex]

Hope it helps.

Look at the equations below. Tell whether each equation is True or False.
a. 2^9/2^-5=2^14
b. (5^0)^3 = 5^3
c. 4^5 x 2^5 = 8^10
d. 3^-9x3^7= 1/3^2

Answers

Answer: A. is true.

Step-by-step explanation: The left side 16384 is equal to the right side 16384, which means that the given statement is always true.

Bamboo the elephant weighed 235 lb at birth. Each month Bamboo has gained 180 lb.
If Bamboo now weighs 1495 lb, how old is she?

please help yall

Answers

Answer:7lb

Step-by-step explanation:

7x180=1260lb

1260+235=1495lb

1495 - 235 = 1260
1260 divided by 180 = 7

Tom drives 8 1/2 miles every 1/30 hour. How many miles can he drive in 3 hours

Answers

In 3 hours Tom drives 243 miles.

What is speed?The rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.

So, to find how many miles Tom can drive in 3 hours:

Given: Tom drives 81/2 miles every 1/30 hour.

81/2 miles = 40.5 miles1/30 hours = 30 minutes

So, in 30 minutesTom drives 40.5 miles.

Then, in 1 hour Tom will drive 40.5 + 40.5 = 81 miles.Miles Tom will drive in 3 hours = 81 × 3 = 243 miles.

Therefore, Tom drives 243 miles in 3 hours.

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Given that 5x8y = 29
Find y when x = -1
Give your answer as an improper fraction in its simplest form.

Answers

5 x -1 = -5

So

-5 x 8y = -40

-40y = 29

Y = - 29/40

I will Mark Brainlist ...Find the length of p. Please Help its Math question i will Mark Brainlist !!

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's use Trigonometric ratios to find p :

[tex]\qquad \sf  \dashrightarrow \: \cos(60) = \cfrac{6}{p} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} = \dfrac{6}{p} [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 6 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 12 \: \: units[/tex]

you are about to buy a calculator for $10, and the sales-person tells you that the model you want to buy is on sale for $5 at the store’s other branch, which is a 20 minute drive away.

Answers

Answer:

The question is incompleye. Do elaborate?

You add 50 grams of solvent to paint. If 50 grams equals 1 part, how many grams
of paint do you need? (Do not label your answer with grams.)

Answers

You will need 25 of paint

how many solutions does this equation have?
2y+20y-15=19+20y

Answers

Answer:

1 solution

Step-by-step explanation:

2y + 20y - 15 = 19 + 20y , that is

22y - 15 = 19 + 20y ( subtract 20y from both sides )

2y - 15 = 19 ( add 15 to both sides )

2y = 34 ( divide both sides by 2 )

y = 17

Answer:

Step-by-step explanation:

Answer

one

Proof

2y + 20y - 15 = 19 + 20y             Combine the left side.

22y - 15 = 19 + 20y                      Add 15 to both sides

22y - 15+15 = 19 +15 + 20y          Combine

22y = 34 + 20y                            Subtract 20y from booth sides

22y-20y = 34 + 20y-20y             Combine

2y = 34                                          Divide both sides by 2

2y/2 = 34/2

y = 17

That's the only solution you get. The number of solutions to any equation (with certain exceptions) is the highest power on the variable.

x^2 + 2x - 8    has 2 solutions (from the x^2)

x^3 + 3x^2 + 2x + 15 = y has three solutions

A rectangular auditorium seats 1598 people. The number of seats in each row exceeds the number of rows by 13. Find the number of seats in each row.

Answers

Number of rows = x

Number of seats in rows = x + 13

x(x+13) = 1598

X^2 +13x - 1598=0

(X-34)(x+47)=0

X = 34 or x= -47

But because there arent negative seats you take x=34

what is 2.3,3.3% and 2/3 in oder greatest to least.

Answers

2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

What is descending order?

Arrangement in a series that begins with the greatest or largest and ends with the least or smallest.

Now the given numbers are,

2.3,3.3% and 2/3

Converting them into decimals we get,

2.3 = 2.300

3.3% = 0.033

2/3 = 0.667

Arranging them from greatest to least we obtain,

0.033  > 0.667 > 2.3

Thus, the given numbers from greatest to least are,

3.3% > 2/3 > 2.3

Hence, 2.3,3.3% and 2/3 in order of greatest to least is 3.3% > 2/3 > 2.3.

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Three numbers have absolute values of 2,4, and 9. The product of all the numbers is positive.

A. Find the product

B. Find the different ways to write the signs of the numbers to give a positive product. Tell how many different ways there are in all.

Answers

Answer:

what you have to do is multiply 2 times 4 which is 8 and multiply the 8 by 9 which is 72

Step-by-step explanation:

2*4 =8

8*9=72

72 plus 8 is 80

201.96+38.7+0.84
Eh this question I been on it for like 3 hours
I need help

Answers

Answer:

241.5

Step-by-step explanation:

201.96+38.7+0.84

All members of a class of 27 students participated in at least one event on sports day. 20 students participated in individual events and 12 students took part in team events. how many students took part in both individual and team events?

Answers

5 students took part in both individual and team events.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.

Given:

Total students participated = 27

20 students participated in individual events

12 students took part in team events.

We have N(All students) = 27

N(individual) = 20

N(Team)= 12

So,

[tex]N_{\text{individual \; and \; team}} & = N_{\text{individual}} + N_{\text{team}} - N_{\text{All students}}[/tex]

=20+12-27

=32-27

=5

Hence, 5 students took part in both individual and team events.

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I need help with 47 please

Answers

Answer:

25 students and 40%

Step-by-step explanation:

For the piecewise-defined function f(x) =
7, x>3
5x-3, XS3
find two x-values that have the same y-value and the sum of the x-values is 10.
.

Answers

The two such x-values are 2 and 8.

The piecewise-defined function is :When x is greater than 3, f(x) equals 7.When x is less than or equal to 3, f(x) equals 5x-3.We need to get the same y-values.So, we will equate the two parts of the above piecewise-defined function.7 = 5x-35x = 10x = 2One of the x-values is 2.We are told that the sum of the x-values is 10.So, the second x-value is 10-2 = 8.Thus, the two x-values that have the same y-value and the sum of the x-values is 10 are 2 and 8.

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Please help!! State which property of equality justifies the statement:

If 7x=28, then x=4.

Answers

The property of equality justifies the given statement is Transitive property of equality.

Given,

The statement:

If, 7x = 28,

then, x = 4

We have to find the property of equality that justifies this statement:

The transitive property of equality formula is given as follows:

If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."

The property of equality that justifies this statement If, 7x = 28,

then, x = 4 is  transitive property of equality.

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Shawn stated that 5x + 2 is equal to 7x . Is Shawn's claim, correct? EXPLAIN.
Need answer asap

Answers

"Shawn stated that 5x+2 is equal 7x" its is an incorrect statement, because we can only add like terms.

Given,

The statement

5x+2 is equal to 7x

Here 5x and 2 are not like terms. So we can't add them together.

So the given statement is incorrect

5x+2 is not equal to 7x

Hence, "Shawn stated that 5x+2 is equal 7x" it is an incorrect statement, because we can only add like terms.

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operation of 12 less than x

Answers

x-12 is the operation

Estimate the quotient of 538 divided by 96 by using two methods 

Answers

The two methods for estimation of the quotient of 538 divided by 96 is being explained.

We are given that:

538 ÷ 96

We need to estimate the quotient of 538 ÷ 96 by using two methods.

The first method can be that we first estimate the divisor and the dividend to the nearest tens and then perform the division.

538 will be rounded off to 540 and 96 will be rounded off to 100.

So, it becomes:

540 ÷ 100

= 5.4

This will again be rounded off to 5

= 5

The second method will be that we first perform the division and then round off.

538 ÷ 96 = 5.61

Rounding off, we will get:

= 6.

Therefore the two methods for estimation of the quotient of 538 divided by 96 is being explained.

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use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago.

Answers

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

What is the missing information?

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

What is population and sample?

Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence they are:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

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find the rise and the run

Answers

Answer:

down below

Step-by-step explanation:

The picture is a little blurry so the graph is hard to read. But I believe the answer is 7/8. The rose would be counting up or down the y axis and the run is counting forward or backward on the x axis.

Hope this helps! :)

Answer:

rise = 7, run = 8

slope = rise/run = 7/8

See attached picture for graph in case you have to plot

Step-by-step explanation:

Take two distinguishable points, (x1, y1) and (x2, y2)  on the graph. Find the difference in their y values= y2 - y1. This will be the rise

Find the corresponding difference in the x values, x2 - x1. This will be the run

Divide the y difference by the x difference and you get rise/run which is the slope of the line

Two clear points are (x1 = 0, y1= -7) and (x2=8, y2=0)

(y2 - y1)/(x2 - x1)

= (0 - (-7)/(8 - 0))

= (0+7/(8 - 0)             ==> 2 negatives make a positive

= 7/8  and that is rise/run

Rise = 7, run = 8

Picture shows rise and run if you want to graph it

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