Jake is comparing the prices of two laundry service companies . company a charges $20 per load and an additional $8 as service charges . company B charges $24 per load and an additional $4 as service charges .

part A: write equations to represent company a's and company b's total laundry charges for a certain number of loads. define the variable used in the equations

part B: which company would charge less for 5 seconds of laundry ?

part C: how much money is saved by using the services of company A instead of company B to clean 9 loads of laundry

Answers

Answer 1

If you meant loads instead of seconds then this is what you get:

Part A:
A(x)= 20x+8
B(x)= 24x+4

Part B:
Company A. It cost $108 for 5 loads, while it cost $124 for 5 loads using company B

Part C:
For 9 loads, you save $32 when using company A vs company B.

Related Questions

Is it possible for a composite number to have more than one prime factorization?

Answers

no The prime factorization of a composite number is the process of finding all the prime numbers that when multiplied together result in the composite number. Just rearranging the order of the prime numbers doesn't change the factorization. The Commutative Property of multiplication allows us to multiply the prime factors together in any order at all.

WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number

Answers

There really doesn't need to be a separate explanation for each number because 1 explanation would explain everyone of them.

All of these numbers are rational because a rational number is, or can be, turned into a fraction.

-2 = -2/1
3 = 3/1
819 = 819/1
1,476 = 1,476/1
-6.01 = -6 1/100 = -601/100

300 yards / 1 minute find unit rate feet per wonds

Answers

132 ft / sec. I believe this is the answer.

Algebra Vocabulary Crossword help ?!

1. a relation described in word format? (17 letter)

9. a way to name a function identifying its input?
(16 letter)

Answers

1. a relation described in word format (17 letter) is "is direct variation"

9. a way to name a function identifying its input (16 letter) is "f of x equals x square"

Final answer:

The student is looking for the terms 'Verbal Description' and 'Function Notation' for their Algebra Vocabulary Crossword. These refer to a relation described in word format and a way to name a function identifying its input respectively.

Explanation:

Based on the number of letters you've indicated, it looks like you're looking for two vocabulary items in the field of Algebra.

First, a relation described in a word format is typically called a Verbal Description, which has 17 letters.

Second, a way to name a function identifying its input is called Function Notation, which has 16 letters.

In Algebra, Verbal Description is when you describe a mathematical relationship using words. For example, 'the sum of a number and three is seven.' This could be translated to the equation x+3=7.

Function Notation, on the other hand, is a way to name a function that is dependent on one or more inputs. For example, f(x) = x^2 is function notation, since the output 'f(x)' is dependent on the input 'x'.

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Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for the party, what is the least number of packages of each you need to buy?

Answers

i think the answer would be
20, the LCM
(least common multiple) :)

1 package of plates = 10 plates and 2 package of cups = 10 cups

so 3 packages is least amount

Is it true that |3-8| and |3+8|

Answers

No, it is not true. If you solve them, the first one is 5, while the second one is 11.

To determine if |3-8| is equal to |3+8|, we calculate the absolute values: |3-8|=5 and |3+8|=11. Since 5 is not equal to 11, the statement is false.

To solve the given problem, we need to understand the properties of absolute values. Absolute value measures the distance of a number from zero on the number line, regardless of direction.

First, calculate the absolute value of each expression: |3-8| and |3+8|.For |3-8|:

3 - 8 = -5, and the absolute value of -5 is 5. Therefore, |3-8| = 5.

For |3+8|:

3 + 8 = 11, and the absolute value of 11 is 11. Therefore, |3+8| = 11.

In conclusion, it is not true that |3-8| equals |3+8|, as |3-8| = 5 and |3+8| = 11.

here is the full question-Is it true that |3-8| and |3+8| are equal?

If a line is perpendicular to a line segment, what angle do they form at their intersection

Answers

If a line is perpendicular to a line segment, then they will form a right angle.

90 degree will be the answer cause its a right angle.

Name the property the equation illustrated
8 + 3.4 = 3.4 +8

Answers

8 + 3.4 = 3.4 +8
commutative property of addition

I'm sure it would only just be 0 so either 0 or no solution

If y = 44 when x = –264, what is y when x = –486

Answers

Final answer:

The value of 'y' when x equals -486 using the same ratio (1:6) as given in the original input is -81.

Explanation:

To solve this problem, we're given a ratio of y to x (1:6) when x is -264 and y is 44. This ratio implies that y is one-sixth of x. Utilizing this information, we can determine y for a different x value (-486). By maintaining the 1:6 ratio, we divide -486 by 6, resulting in -81. Therefore, when x is -486, y equals -81. This solution stems from understanding the proportional relationship between y and x, allowing us to calculate y for any given x value based on the established ratio. In this case, the ratio of 1:6 guides the computation, ensuring the accurate determination of y as -81 when x is -486.

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(−2+2i)⋅(5+5i)
Can you help me simplify

Answers

(−2+2i)⋅(5+5i)
FOIL
-10-10i+10i+10i²=-10+10i² this is the simplify answer
If you want the complete answer is
-10+10(-1)=-10-10=-20

Based on research by barsh and colleagues (2000), _____ genes appear to be related to body weight regulation.

Answers

The answer is more than 40 genes. According to their research, these genes are transcripted into the DNA during the translation.One of these genes is called CYP19. Having more than one strand of this gene can possibly be the reason why people are slightly larger than the others.

What is 39ft/min to yd/s?
Please explain using dimensional analysis.

Answers

Dimensional analysis simply means to arrange the units in the problem in a such a way that they cancel each other out and you're left with the units you need in the answer. We do this by using conversion ratios arranged like fractions, then multiplying across left to right.

In your problem, we're given ft/min and need to convert to yd/s. Start with feet and convert to yards for the numerator, then convert minutes to seconds for the denominator: (pretend the parentheses encompass the entire fractions - limitations of the answer box)
39 feet x ( 1 yard ) x (1 min)
1 min 3 feet 60 sec

Notice that feet cancel, and minutes cancel. We're left with yards in the numerator and seconds in the denominator.
Multiplying the numbers, we get 39/180, which simplifies to 0.217.
The final answer is ~0.22 yd/sec.

One out of two people entering the grocery store purchase soda. how many people out of 20 purchase soda?

Answers

Answer: "10" .
______________________
1/2 = x/20

(1*10) = (2*10) = 10/20 .

Note: 2*10 = 20.

1/2 = 10/20 .

10/20 = ? ; Cancel out the zeros to get: "1/2" ; "10/20 = 1/2" .

Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x represents the profit Tali has earned from cleaning pools.

Which expression represents the total amount Tali earns from pool cleaning?

24x

24

−243

x

Answers

Answer:

24x

Step-by-step explanation:

The variable x is used to represent the independent variable in a situation. In this situation, the independent variable would be the number of pools cleaned; this means that x represents the number of pools cleaned.

24x would then indicate that Tali charges $24 per pool cleaned; this makes 24x her total earnings from cleaning pools.

Answer:

A. [tex]24x[/tex]

Step-by-step explanation:

We have been given an expression [tex]-243+24x[/tex], which represents he profit Tali has earned from cleaning pools. We are also told that Tali purchased cleaning supplies and charged the same amount for each pool cleaned.

Upon looking at our expression we can see that [tex]-243[/tex] is constant term and it is negative, so it will represent the amount spent by Tali on supplies.

The term [tex]24x[/tex] contains independent variable [tex]x[/tex], which represents the number of pools cleaned and 24 represents Tali's earning from each pool.

Since Tali cleaned [tex]x[/tex] pools, so total amount of Tali's earning from cleaning [tex]x[/tex] pools will be [tex]24x[/tex] and option A is the correct choice.

The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?

A. 288
B. 24
C. 3,072
D. 64

Answers

the answer would be a. 288. hope that helped

2 is the biggest number, so to find the LCD check to see if it is divisible by 3, no, 4, yes, 9, no. Next number: 32x2=64. None of the numbers were divisible. Eventually, you'll find that the LCD is 288

The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Determine each of the following, showing all your work and reasoning.

Scale factor of the smaller pyramid to the larger pyramid in simplest form

Ratio of the areas of the bases of the smaller pyramid to the larger pyramid

Ratio of the volume of the smaller pyramid to the larger

Volume of the smaller pyramid

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ [/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base} \\\\\\ \cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume} \implies \cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v[/tex]

1. what are some different types of numbers that you have herd of before?

2. why do you think it is important to classify (sort) different types of numbers

Answers

natural, whole

you need the different classifications that way it is easier to tell someone what you are talking about.

1. Some types of numbers I've heard about are: whole numbers, fractions, negative numbers, infinite numbers, irrational numbers, rational numbers, improper fractions, imaginative numbers, radical numbers, unknown numbers, etc.

2. I think it important to group or separate numbers out in order to apply them to the categories they apply to.

Help me solve this please...in detail.

Answers

n+6 = 2*7
n+6 = 14
n= 14-6
n=8

PLEASE ANSWER FAST!
Which statement best describes why the sale price is a function of the original price?
A:As the original price increases, the sale price also increases.
B:The sale price is always less than the original price.
C:For every original price, there is exactly one sale price.
D:The sales price is never less than zero.

Answers

Answer:

I think B,not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Got it right

If f(x) = + 8, what is f(x) when x = 10?

Answers

f(x) = (x/2) + 8
f(10) = (10/2) + 8 ... replace every x with 10; now use PEMDAS
f(10) = 5 + 8
f(10) = 13

We plugged in x = 10 as the input to get the output of f(x) = 13

Answer: 13

Answer:

Step-by-step explanation:

it correct

Given the literal equation for the area formula of a trapezoid: A =12h(b1 + b2) solve for b1. Must show your work to receive full credit.

Answers

[tex]$ b_1 = \frac{A}{12h} - b_2 $[/tex] is the formula to solve for [tex]$ b_1 $[/tex] in the trapezoid area equation.

To solve for [tex]$ b_1 $ in the equation $ A = 12h(b_1 + b_2) $, where $ A $[/tex] is the area of the trapezoid, [tex]$ h $ is the height, $ b_1 $[/tex]is one of the bases, and [tex]$ b_2 $[/tex] is the other base, you can follow these steps:

1. Divide both sides of the equation by [tex]$ 12h $ to isolate $ (b_1 + b_2) $:[/tex]

[tex]\[ \frac{A}{12h} = b_1 + b_2 \][/tex]

2. Subtract [tex]$ b_2 $[/tex] from both sides of the equation:

[tex]\[ \frac{A}{12h} - b_2 = b_1 \][/tex]

So, the equation for [tex]$ b_1 $ in terms of $ A $, $ h $, and $ b_2 $[/tex] is:

[tex]\[ b_1 = \frac{A}{12h} - b_2 \][/tex]

Need help ASAP real quick ????????????

Answers

The answer is 54. (36+72=108. 108/2 = 54)

At city high school,the sophomore class has 60 more students than the freshman class.the junior class has 50 fewer students than twice the students in the freshman class.the senior class is three times as large as the freshman class.if there are a total of 1,424 students at the city high school,how many students are in the freshman class?

Answers

S=f+60
J=Fx2-50
Senior=fx3

(f)+(f+60)+(fx2-50)+(fx3)=1424 (Parenthesis first)
f+f+60+2f-50+3f=1424 (rewrite)
2f+60+2f-50+3f=1424 (combine like variables)
7f+10=1424 (rewrite)
7f=1414 (isolate variable (take away 10 from each side))
1414/7
202=freshman

Answer:

The number of students in the freshman class are:

202

Step-by-step explanation:

Let the number of students in Freshman class = x

The sophomore class has 60 more students than the freshman class.

This means that the number of students in sophomore class = x+60

The junior class has 50 fewer students than twice the students in the freshman class.

This means that the number of students in junior class= 2x-50

The senior class is three times as large as the freshman class.

This means that the number of students in senior class are: 3x

There are a total of 1,424 students at the city high school.

This means that:

[tex]x+x+60+2x-50+3x=1424\\\\x+x+2x+3x+60-50=1424\\\\7x+10=1424\\\\7x=1424-10\\\\7x=1414\\\\x=\dfrac{1414}{7}\\\\x=202[/tex]

Please can you help me

Answers

Answer:

5 : 1

Step-by-step explanation:

From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:

15 : 3 = (15/3) : (3/3) = 5 : 1

The commission of selling each iPhone is $30 and the commission of selling each iPad is $20. If you one day sold 4 more iPhones than iPads and earned a total commission of $520, how many iPhones and iPads did you sell respectively?

Answers

lets assume number of iphones sold = a number of ipads sold = b i sold 4 iphones more than ipad that becomes a = b+4 then the equation of total commission becomes 30a+20b = 520 substituting a =b+4 in the above equation 30(b+4)+20b = 520 30b+120+20b = 520 50b =520-120 50b = 400 b = 400/50 b=8 number of iphones i sold = a = b+4 = 8+4 = 12 number of ipads i sold = 8 so i sold 12 iphones and 8 ipads to earn the commission of $520

By solving the system of equations which includes the total commission and difference in quantity of iPhones and iPads sold, we determine that the salesperson sold 8 iPads and 12 iPhones.

The student is tasked with solving a system of linear equations to determine how many iPhones and iPads were sold based on the commission earned. Let's define the number of iPads sold as x and the number of iPhones as x + 4.

The total commission for iPhones is $30 per iPhone and the total commission for iPads is $20 per iPad. The total commission earned from selling these products is $520.

We can set up two equations based on the given information:

Commission from iPhones: 30(x + 4)

Commission from iPads: 20x

Total Commission: 30(x + 4) + 20x = 520

By solving the equation 30(x + 4) + 20x = 520, we find:

30x + 120 + 20x = 520

50x + 120 = 520

50x = 400

x = 8

So, the number of iPads sold is 8. Since the number of iPhones sold is 4 more than iPads, we have:

Number of iPhones sold = x + 4 = 8 + 4

Number of iPhones sold = 12

Therefore, the salesperson sold 8 iPads and 12 iPhones respectively.

You went shopping and found a pair of shoes that were $45.00 on sale for $27.50. what was the percent of decrease of the shoes? your answer should go 1 decimal place)

Answers

percent decrease = (original number - new number) / original number....* 100
= (45 - 27.5) / 45.....* 100
= 17.5 / 45....* 100
= 0.3888 * 100
= 38.9 % decrease <== thats rounded

If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes

Answers

3^3 / 5^3 = 27 / 125

Answer:

The answer is 27:125

Cho welcome

I really need help on this problem can i get help on how to solve the problem please

Answers

you cannot assume that the angles are equal. there is no angle measure and nothing to say the lines are parellel.

i'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging

Answers

Expected throughput is
1000 units/h

Therefore the expected time for 4800 units is
(4800 units)/(1000 units/h) = 4.8 hours = 288 minutes

Because the worker is 48 minutes behind schedule, the actual time is
288 + 48 = 336 minutes = 5.6 hours

The actual average throughput is
(4800 units)/(5. h) = 857 units per hour.

Answer: 857 units per hour.

Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4

Answers

a vertical line is represented by x = a number
so ur vertical line is : x = 4 <==

** and just so u know, a horizontal line is represented by y = a number.

[tex]x=4[/tex] is the answer
hope this has helped you

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Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained? Select the correct form of question that can replace the following question without changing the meaning. Aimez-vous la musique classique? Quest-ce que vous aimez? Est-ce que vous aimez la musique classique? Naimez-vous pas la musique classique? Vous aimez la musique classique, nest-ce pas? In at least 75 words describe the setting time and place of Midsummer nights dream and explain how the setting influences the mood and plot of the play Which term refers to a large grassland that provides habitad for wildflower, wolves, rabbits, elk, deer bears, bison, What is the shape of a parallel cross section of a sphere? Find the value of x (7x) (2x+27)A. 7 B. 49C. 61 D. 17 What game was created by French mathematician Blaise Pascal, which he discovered when doing experiments into perpetual motion? james scored 300 runs in cricket. he requires 900 runs to qualify for league MVP contention. he scores 50 runs during the average of the game. how many games does he have to plsy to score the remaining runs he needs? Facts about the chip category obtained from acnielsen are _______. Which sentence contains transition words that demonstrate a summary or conclusion?A)In the end, it was obvious why Peter chose the long route home.B)Therefore, the bottom of the basket broke and the contents spilled all over the floor.C)Although many people visit Japan every year, China actually receives more guests annually.D)It is hard to say whether all birds migrate in a pattern, but it definitely seems that way. What are the two most popular forms of birth control in the united states? how are the perimeters of two similar figures related? What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5? Tasha finished the first draft of her history essay. The teacher said it had to be at least six hundred words long. She counted in her draft and found she had 369. How many more words does she need to meet the minimum words count for the assignment? Please help. I don't know how to answer this. sylvie finds the solution to the system of equations by graphing. y=2/3x+1 and y=-2/3x-1 which graph shows the solution to sylvies system of equations? a) graph 1b) graph 2 c) graph 3d) graph 4 What is a group of words that begins with a preposition and ends with an object? Isosceles triangles may be obtuse or acute but never right The scores of adults on an iq test are approximately normal with mean 100 and standard deviation 15. clara scores 118 on such a test. she scores higher than what percent of all adults Which of the following lists the most common side effects of medications?Drowsiness, dizziness, dry mouthNausea, vomiting, skin rashesKidney failure, stomach bleedingDifficulty breathing, diarrhea Steam Workshop Downloader