Algebraic Expressions Question

A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.

Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.

Algebraic Expression: __

Part B
How much will it cost for installation and one year of basic cable service?

Explain:

Total Cost:

This problem is continued on the next page.

Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?

Explain:

Answers

Answer 1

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

Therefore the total cost C1 + C2 is:

$1,559.26

Answer 2

Final answer:

The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.

Explanation:

Part A:

To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:

59.99 + 49.99m

Part B:

To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:

59.99 + 49.99(12) = 59.99 + 599.88 = 659.87

Part C:

For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:

59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23

Related Questions

Analyze the graph.

Which months had rainfall between 10 and 20 inches each?

March, April, and May
May, August, and October
June, July, and September
February, October, and November

Answers

Answer:

C. June, July, September.

Step-by-step explanation:

We have a graph representing the average monthly rainfall.

The graph has plotted the months on the x-axis and the rainfall in inches on y-axis.

We can see that the only months having rainfall between 10 to 20 inches are June, July, September and November.

According to the given options, we get,

The months having rainfall between 10 to 20 inches are June, July and September.

find the lateral area of the pyramid to the nearest whole number.

Answers

I believe the answer is d.

what is 0.83 ÷ 0.415 show ur work

help me pls

Answers

0.83 ÷ 0.415

Move the decimal point 3 times

830 ÷ 415 = 2

0.83 divided by 0.415=2

Miss Sandy is fencing in her rectangular backyard, which is 3x23x2 feet wide and 4xy+5x3y24xy+5x3y2 feet long. a.) Find the perimeter of Miss Sandy's yard. Show all work. b.) How much fencing should Miss Sandy purchase? Use mathematics to justify your answer.

Answers

3x23x2= 138 feet wide by 28xy + 10x6y + 2 feet long B) purchase 140 feet X (28xy + 10x6y) fencing

A bakery packages 868 muffins into a 31 boxes. The same number of muffins are put into each box. How many muffins are in each box?

(Show work)
Please

Answers

You would need to put 868 muffins equally into 31 boxes. So 868 divide by 31= 28 muffins per box.

Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $252 for 21 T-shirts, which of the following statements is true?
A. Jenny paid $252 for 21 T-shirts, which is a rate of $21 per T-shirt.

B. Jenny paid $252 for 21 T-shirts, which is a rate of $231 per T-shirt.

C. Jenny paid $252 for 21 T-shirts, which is a rate of $33 per T-shirt.

D. Jenny paid $252 for 21 T-shirts, which is a rate of $12 per T-shirt.

Answers

The answer is D because as she paid $252 for 21 shirts, the equation is $252 divided by 21(shirts) which gives you the price for one shirt, which equals $12
Hope his helps : )

the sum of three consecutive number odd integers is 18 less than five times the middle number find the three integers

Answers

1st number = x

2nd number = x+2

3rd number = x+4

x + x+2 +x+4 = 3x+6

3x+6 = 5(x+2)-18

3x+6 = 5x+10-18

3x+6 = 5x-8

3x+14 =5x

14 = 2x

x = 14/2 = 7

1st number = 7

2nd number = 7+2 = 9

3rd number = 7+4 = 11

there are 36 students in the class chess club, 40 students in the drama club, and 24 students in the film club . what is the ratio of students in the drama club to students in the film club

Answers

40 to 24
Or
5 to 6
You just put the nomber it says for each thing

5 to 6 would be the correct answer

a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 475 lb. Write and graph an inequality to show how many refrigerators and how many pianos that truck could carry . WIll 12 refridgerators and 8 pianos overload the truck? Explain.

Answers

I'm not going to do the entire question, but I'll do the first part.

For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:

6400[tex] \leq[/tex]250r + 475p

where r represents the # refrigerators, and p represents the # pianos

Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.

Hope this helps! :)

Answer: 250 r+ 475p≤ 6400

12 refrigerators and 8 pianos will overload the truck.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Truck capacity: 6400 (no more than means that the weight of the products must be equal to 6400 lbs or less) Weight of one piano: 475 Weight of one refrigerator: 250

So, the inequality that represents this case is :

250 r+ 475p≤ 6400

Where:

r = number of refrigerators

p = number of pianos

For 12 refrigerators and 8 pianos we simply replace the values:

250 (12) + 475 (8) ≤ 6400

3000+3800≤ 6400

6800≤ 6400

6800 lbs will overload truck. Because 6800lbs exceeds the capacity of the truck.(6400 lb)

5. Which number is a perfect cube?
7
25
66
27

Answers

The answer is 27 because the cubed root is 3

The answer is 27 your welcome

What’s the unit rate for 3 2/3 feet per 11/60 hour?

Answers

11/3 divides by 60/11 = 660/33 = 20

Answer:

20 feet per hour

Step-by-step explanation:

To find the unit rate of the given scenario

[tex]3\frac{2}{3} \text{ feet per }\frac{11}{60} \text{hour}[/tex]

Unit rate: The given rate per unit time.

So, divide the feet by time

Unit rate [tex]=\dfrac{11}{3}\div \dfrac{11}{60}[/tex]

[tex]=\dfrac{11}{3}\times \dfrac{60}{11}[/tex]

[tex]=20\text{ feet/hour}[/tex]

Unit rate is 20 feet per unit time.

Hence, The unit rate is 20 ft/h

at the end of the day vegetables at farm market sell for $2.00 a pound and a bakery costs $3.50. if Charlene wants to buy a basket and shows no more than $10.00 total how many pounds of vegetables can she buy write and solve the inequality

Answers

10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x

10=2x+7 |-7
3=2x |:2
1,5=x

You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.

Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are planning to buy her a bouquet of flowers. What is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?

Answers

There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.

Answer:

it is d for the people on edge

Step-by-step explanation:

HOW DO WE TURN DECIMALS INTO FRACTIONS EVERYONE ID GIVING ME THE WRONG ANSWER

Answers

write down the decimal divide it by one. Multiply both top and bottom by 10 for every number after the decimal point for example if there are 2 numbers after the decimal point then use 100, if there are 3 then use 1,000

Step 1: write down the decimal divided by 1

Step 2: multiply both top and bottom by 10 for every number after the decimal point. (For example, of there are 2 numbers after the decimal point, then use 100, if there are 3 then use 1000, etc)

Step 3: simplify the fraction

Hope this helps :)

In George’s neighborhood there are 33 cats and 33 dogs roaming free.What percent of the animals roaming free are dogs?

A.35%

B.40%

C.45%

D.50%

Answers

First, we'll figure out how many animals there are in total by adding up the cats and the dogs. In this case, we have 33+33=66 total animals. Then we need to figure out what fraction of these 66 animals are dogs:
[tex]\frac{33}{60}=\frac{1}{2}[/tex]

So half of the animals are dogs. To write that as a percent, we need the fraction to be over 100, so:
[tex]\frac{1}{2}=\frac{50}{100}[/tex]

50% of the animals are dogs.

Multiply two and four-fifths negative five and two-thirds .

negative ten and eight-fifteenths
negative fifteen and thirteen-fifteenths
ten and eight-fifteenths
fifteen and thirteen-fifteenths

Answers

Its the second one 100%

2 4/5 times - 5 2/3 =

14/5 * -17/3 = -238/15 = -15 13/15

Answer is B

Sue uses the expression (8 x 3,000) + (8 x 200) + (8 x 9) to help solve a multiplication problem. What is Sue's multiplication problem?

Answers

25,672 if you take it step by step you will get it

Answer:

(I will say in the explanation)

Step-by-step explanation:

Sue's problem is (8 x 3000) + (8 x 200) + (8 x 9).

First, let's add up the broken apart numbers.

3000+200+9 = 3209

So since we got 3209 as our answer, the multiplication is about 3209! But we don't just stop here. There's a little bit more.

Now, Sue's multiplication expressions broken apart numbers keep multiplying 8! This means 8 is being multiplied by 3209!

So Sue's problem is 8 x 3,209 !

But if you want to multiply it,

3,209

x 8

25,672

This is the answer!

-----------------------------------------------------------------------------------------------------------------

I hope this helped and have a great day! ❤️

Estimate the quotient when 29,376 is divided by 29

Answers

The Quotient would be 1012 so I would just put 1000 if your supposed to estimate.

So to estimate here, I would set 29,376 to 29,000 divided by 29, which would make things a lot easier.

29,000/29 = 1,000

So your estimate is about 1,000.

Kendra is twice as old as Tim. In 10 years, Kendra will be four years older than Tim. How old are Kendra and Tim now?

Answers

kendra is 8 now, tim is 4

Answer: kendra is 8 now, tim is 4

what is (24^3)^-3 × (40÷4+14)^10 over (fraction bar) (96÷8)+(39÷3-1) ??????

Answers

The answer is: " 1 " .
________________________________
Note:
_______________________________________________
(40 ÷ 4 + 14) ¹⁰ = [ (40 ÷4) + 14 ] ¹⁰ = (10 + 14)¹⁰ = 24¹° ;

(96 ÷ 8) + (39 ÷ 3 −1 ) = (96 ÷ 8) + [ (39 ÷ 3) − 1 ] ;

= 12 + (13 − 1 ) = 12 + 12 = 24 ;
________________________________________________
(24³)⁻³ = 24⁽³ * ⁻³⁾ = 24⁻⁹ ;

___________________________________________
So we can rewrite the problem:
___________________________________________
24⁻⁹ * (24¹⁰ / 24) ;
___________________________________________
Note: " (24¹⁰ / 24) = (24¹⁰ / 24¹) = 24 ⁽¹⁰ ⁻ ¹⁾ = 24 ⁹ ;
___________________________________________
Rewrite the expression:
___________________________________________
24⁻⁹ * 24 ⁹ = 24 ⁽⁻⁹ ⁺ ⁹⁾ = 24⁰ = 1 .
___________________________________________
The answer is: " 1 " .
___________________________________________

solve math problem number 2

-3y -7 = 2

Answers

Add 7 to both sides.

-3y = 9

Divide -3 on both sides.

y = -3

Hope this helps!

First, add over the constant -7 to isolate the variable which leaves you with -3y=9. Finally, divide out the -3 which will leave you with your answer: y=-3

In the last election, candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?

Answers

Hello, so let's break this down.

There is a total of 109,000 votes all together.

If you want to find out how much candidate B received, all you need to do is subtract 15,000 from 109,000 which would be 94,000.

If you want to make sure that is correct, add candidate B's total votes from candidate C's total votes if it adds up to 209,000 (94,000+15,000 = 209,000).

Hope this helps! =)

Let x be the votes candidate B received.

x - 15,000 = 109,000
Add 15,000 to the other side
x = 124,000

Candidate B received 124,000 votes.

Hope that helped! :)

Simplify.

42+25

A.21

B.29

C.41

D.51

Answers

Im actually pretty sure its C because 4 to the power of 2 is 16 and then add those too up 16+25=41

Answer:

The answer is C. 41

Step-by-step explanation:

So i did the test. and got it right!

Heh...-

MATH QUESTION HURRY DOWN BELOW

Answers

dH/dt=-4/5
dH=-4/5dt
H= ∫-4/5dt
H= -4/5t+c
c= 4/5×3= 12/5
so
H=-4/5t+12/5
at first minute i.e T= 1
H= 12/5-4/5
H= 8/5 = 1.6mile

r/5 - 6 = -1

A) r = 1

B) r = 5

C) r = 10

D) r = 25

Answers

r/5 = -1 + 6
r/5 = 5
r = 5 x 5
r = 25

Answer: D).

The answer is D) r= 25 i think

A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.

The expression below describes this situation.

688−2x

In this expression, what does the term 2x represent?

A. the number of jeans purchased

B. the total amount of jeans in stock

C. the number of jeans the stock is reduced by from each sale

D. the number of jeans sold with each purchase

Answers

I think the answer is a
I don't know but i hope it will help

Answer:

Option C)

Step-by-step explanation:

We are given the following information in the question:

Number of jeans in inventory = 688

The store manager decides to reduce the the stock by giving a buy one get one free scheme. That means that every purchase will reduce this inventory by 2 pairs of jeans.

This can be represented with the help of equation:

[tex]688 - 2x[/tex]

where x is the number of jeans purchased.

In the above expression the term 2x is the total number of jeans sold, where x is the number of jeans sold. Due to buy one one free offer the jeans reduced from the inventory are double the jeans sold.

Thus, 2x in the equation means that every purchase will reduce the inventory by 2 pairs of jeans where x is the number of purchases.

How can you check the answer when a division problem has a remainder

Answers

We can still use our multiplication method to check our division; you will multiply the quotient (25) by the divisor (5), and then add ourr emainder to the answer to the multiplication problem, like this: Let's try that one more time.

help with geometry please

Answers

y=-14
plug in the digits
-8=3/2(4)+y
-8=6+y
-6 -6
-14=y

Hello,

Any line that is perpendicular to another line has a negative reciprocal of the slope. So the negative reciprocal of -2/3 is 3/2. Now with the new slope, let's pt it in the equation to find the slop-intercept equation BY using point-slope form: y-y1 = m (slope) (x-x1).

If I put the numbers in the equation, it would look like: y+8 = 3/2 (x-4). Let's simplify by distributing 3/2 to the parenthesis: y + 8 = 3/2x - 6.

To get "y" by itself, let's subtract 8 from both sides: y = 3/2x - 14.

So, the equation is now y = 3/2x - 14.

In the box you would write, "-14".

I hope this helps!

May

what is The density of an object is the quotient of its mass and its volume as a formula?

Answers

Density=Mass/Volume=M/V

3 Questions!! Please help with all!!!

1. Which of the following is a solution of 12 x - 7 > 6?

2. True or False?
In the set of real numbers, the first number less than -3 is -4.

3. The difference between a number and seven is less than or equal to -3.
Find the possible numbers.

n ≤ -10
n ≥ -10
n ≤ 4
n ≥ 4

Answers

1. You will have to provide the answers.

2. I believe the answer to this is false. You might want to double check with somebody, just in case.

3. n≥4

Hope this helps.

Answer: I took this test awhile back; Hope this helps! Please mark Brainliest! :)

Step-by-step explanation:

1. Which of the following is a solution of 12 x - 7 > 6?

-1

2. True or False?

In the set of real numbers, the first number less than -3 is -4.

False

3. The difference between a number and seven is less than or equal to -3.

Find the possible numbers.

n ≤ 4

n-7≤-3

n-7+7≤(-3+7=4)

n-7≤4

n-7 is no more than 4.

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