At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Write an equation. Let x represent the cost of one of Spongebob's items.

Solve the equation. Show your work.

Check your solution. Show your work.

State the solution in complete sentences.

Answers

Answer 1

Answer:

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes cost of each item bought by Spongebob.

Number of items bought by Spongebob = 3

So,

Cost of items bought by Spongebob = [tex]3x[/tex]

Cost of each item bought by Patrick = [tex]x-1.50[/tex]

Number of items bought by Patrick = 5

Cost of items bought by Patrick = [tex]5(x-1.50)[/tex]

Both Spongebob and Patrick paid the same amount of money.

So,

[tex]3x=5(x-1.50)\\3x=5x-7.5\\5x-3x=7.5\\2x=7.5\\x=\frac{7.5}{2} \\x=3.75[/tex]

So,

Cost of each item bought by Spongebob [tex]=x=\$3.75[/tex]

Cost of items bought by Spongebob = [tex]3x=3(3.75)=\$11.25[/tex]

Cost of each item bought by Patrick [tex]=x-1.50=3.75-1.50=\$2.25[/tex]

Cost of items bought by Patrick = [tex]5(x-1.50)=5(3.75-1.50)=\$11.25[/tex]


Related Questions

PLEASE HELP Please i don’t understand

Answers

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

Answers

Answer:

0.128rad/sec

Step-by-step explanation:

Let x represent the between the man and the point on the path

θ = the angle

dx/dt = 4 ft/s

dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight

tan θ = x/20 ft

Cross Multiply

20tan θ = x

dx/dt = 20sec² θ dθ/dt

dθ/dt = 1/20 × cos² θ dx/dt

dθ/dt= 1/20 × cos² θ × 4

dθ/dt = 1/5 × cos² θ

Note : cos θ = 4/5

dθ/dt = 1/5 × (4/5)²

dθ/dt = 16/125

dθ/dt = 0.128rad/sec

Use the expression 3-7p^2+11(4+n)3−7p 2 +11(4+n)3, minus, 7, p, squared, plus, 11, left parenthesis, 4, plus, n, right parenthesis to find an example of each kind of expression.

Answers

Answer:

2 - 4x² + 15(3 + y)

Step-by-step explanation:

Given.

3 -7p²+11(4+n)

Required

Write similar expression:

The given expression can be split into:

3, -7p² and 11(4 + n)

3 can be replaced with 2 or any number (but let's stick with 2).

-7p² can be replaced with -4x²

Lastly,

11(4 + n) can be replaced with 15(3 + y)

Bringing them together, we have:

2 - 4x² + 15(3 + y)

So, an expression similar to 3 - 7p² + 11(4 + n) is 2 - 4x² + 15(3 + y)

Please note that, there are other similar expressions

Answer:

difference: 3-7p^2

Factor: ( 4+n )

product: 11( 4+n )

Step-by-step explanation:

guys I need followers​

Answers

Answer:

Followers You need

Answer:

ok

Step-by-step explanation:

PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST

options box one:
graph a
Graph B

Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more

Answers

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

-3/7 % -1/2 =??

What is the answer to this equation

Answers

Answer:

-0.21428571428

6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?

Answers

Answer:

I haven't seen this question before, but the correct way to write it is 78+78+78=234

3.
Long's Coffee Shop sells a refill mug for $8.95 Each refill costs $1.50 last month lanice spent $26.95 on
a mug and refills. How many refills did she buy?

Answers

Answer:

12

Step-by-step explanation:

So since the total was 26.95 subtract the base cost of the mug which is 8.95

26.95-8.95=18.00

Then since each refill is 1.50 divide by 1.50

18/1.50=12

Lanice bought 12 refills last month

How much smaller is x−3 than x+4?

Answers

Answer:

Try 1

Step-by-step explanation:

The difference between 3 and 4 is one.

-3+7= POSITIVE 4 if it’s on a line then the Awnser is one

please help I will give a lot of points


btw its 2 questions​

Answers

ummmmmmm.. wait ima come back to it let me work it it

Answer:

please wait two mins I will give you the answer, but which question 2 or 3

What is the slope of the line that passes through the points (4,2) and (-16, -10)?
Write your answer in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

Yup the answer is 3/5 :))

Step-by-step explanation:

Hi can you help me in this? Ann works in a supermarket for 10.00 pero hour She recieved a raise yo 12.00 what is the percent of chance in her hourlt wage?​

Answers

Answer:

20%

Step-by-step explanation:

GivenInitial wage = 10 peso/hourNew wage = 12 peso/hourSolution

The difference  

12 - 10 = 2 peso/hour

Percent of change

2/10*100% = 20%

4x/5 = 2x+4/3 Please hurry I’m in a rush

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

x = - 5/3

Step-by-step explanation:

Calculate the product

4x/5 = 2x + 4/2

Reduce the faction with 2

4x/5 = 2x + 2

Multiply both sides of the equation by 5

4x = 10x + 10

Move variable to the left-hand side and change its sign

4x - 10x = 10

Collect like terms

-6x = 10

Divide both sides of the equation by -6

x = - 5/3

Solution

x = -5/3

Alternate form

x = -1 2/3, x = -1.6

Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.

Answers

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

show work for each abcd

Answers

here’s what i got :)

41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip takes 1 h longer than the trip there.

a. Let d be the distance in miles the family traveled to visit their relatives. How

many hours did it take to drive there?

b. In terms of d, how many hours did it take to make the return trip?

C. Write and solve an equation to determine the distance the family drove to see

their relatives. What was the average rate for the entire trip?

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

Please help me!

You have the opportunity to lease space for your business. The property owner has proposed a four year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years? A.)$13,200 B.)$22,000 C.)$31,390 D.)$32,440​

Answers

Answer:

C.)$31,390

Step-by-step explanation:

You can use the formula to calculate the future value to find the answer:

FV=PV*(1+i)^n

FV= future value

PV= present value= 29,000

i= interest rate=2%

n= number of periods of time= 4

Now, you can replace the values in  the formula:

FV=29,000*(1+0.02)^4

FV=29,000*(1.02)^4

FV=31,390

According to this, the answer is that the annual rent would be $31,390 at the end of four years.

f(x) = 2( x ) + 10, Solve when given f(x) = -22 sorry it’s just I didn’t get function notation

Answers

Answer:

x=-16

Step-by-step explanation:

[tex]2x + 10 = - 22[/tex]

[tex]2x = - 22 - 10 = - 32[/tex]

[tex]x = - 32 \div 2 = - 16[/tex]

16 i think lol (x=16)

The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?

Answers

Option:

a. for every 13 dogs, there are 25 cats.

b. there are twice as many cats as dogs at the shelter.

c. the shelter has more dogs than cats.

d. there are 25 animals in the shelter.

Answer:

a. for every 13 dogs, there are 25 cats.

Step-by-step explanation:

Represent Dogs with D and Cats with C;

So;

[tex]\frac{D}{C} = \frac{13}{25}[/tex]

By comparison:

[tex]D=13[/tex]

[tex]C = 25[/tex]

This implies that:

For every 13 D, there are 25 C

Hence: Option A is true

Solve the inequality and graph the solution. 1/2x < 6​

Answers

Answer:x<12

Step-by-step explanation:

2/1 x 1/2x<6/1 x 2/1

X<12

2 1.3.3 Quiz: Random Sampling

Question 1 of 10

Three national news networks are trying to estimate what percentage of

American voters support a particular presidential candidate. To estimate the

population parameter, each of the three networks collect data from a simple

random sample of voters. Here are the numbers of voters in the networks'

random samples:

• Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Which sample is likely to have the least variability?

A. The Network A sample

OB. The Network B sample

OC. The Network C sample

Answers

Answer:

A. The Network A sample

Step-by-step explanation:

The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.

In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.

Network A: 3800 voters sampled

• Network B: 3500 voters sampled

• Network C: 3250 voters sampled

Answer:

A.

Step-by-step explanation:

Just took the test

5d+1/2=d-4 section 2.04

Answers

Answer:  d = -9/8

Steps: 5d + ½ = d - 4

Subtract ½ from both sides: 5d + ½ - ½  = d - 4 - ½

Simplify: 5d = d - 9/2

Subtract d from both sides: 5d - d = d - 9/2 - d

Simplify: 4d = -9/2 ÷ 4

Simplify: d = -9/8

PLz mark brainliest:)

Mid point of 11.29 and 11.30

Answers

Answer:

11.295

11.29 and 11.30 are already two digit decimals, we can not get another 2 digit decimal. We have to make a 3 digit decimal.

11.295 falls between 11.29 and 11.30.

Hope this helps you!

Answer:

11.295

Step-by-step explanation:

cmon now. That was pretty easy lol

Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?

Answers

Answer:

$62.50 because

Step-by-step explanation:

250÷4=62r2

62.50•4=250

Ms. Beg withdraw $62.5 from her account to pay for her services.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.

to with

So, to withdraw from the account to pay for services each month

= 250/4

= 125/2

= 62.5

Hence, she withdraw $62.5 from her account to pay for her services.

Learn more about unitary Method here:

https://brainly.com/question/22056199

#SPJ5

6th grade math i mark as brainly​

Answers

Answer:

i got B and D

Step-by-step explanation:

-14 is less then -8 and is left of -8 on a number line.

16. The Venn diagram below represents two sets of numbers.
?
Integers
Which of the following would be the best label for the set represented by the
shaded circle?

Answers

Answer: D) Rational Numbers

Any rational number is in the form p/q, where p,q are integers and q is nonzero.

If we made q = 1, then p/q turns into an integer which is why the set of integers is inside the set of rational numbers.

For instance, if p = 7 and q = 1, then p/q = 7/1 = 7 is an integer and it is rational too.

Flaws occur at random along the length of a thin copper wire. The number of flaws per mm follows a Poisson Distribution with a mean of 2.3 flaws per mm. Determine the probability of exactly 2 flaws in 1 mm of wire.

Answers

Answer:

0.265

Step-by-step explanation:

Given that :

Number of flaws per mm follows a poisson distribution:

Mean flaws per mm (x) = 2.3

Probability of exactly two flaws in 1 mm of wire

P(X = 2) = (x² * e^-x) / x!

P(x = 2) = (2.3² * e^-2.3) / 2!

P(x = 2) = (5.29 * 0.1002588) / 2

P(x = 2) = 0.265

The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.

Answers

Answer:

90

Step-by-step explanation:

please help i’ll give the brain

Answers

Answer:

a. it depends if you're rounding it.

Step-by-step explanation:

45 pounds is 20.4117 kilograms.

Answer: C, 50.

Step-by-step explanation:

So there are talking about ¨much¨ you have to multiply/simplify the same number.

Which equals to 50 kilograms.  

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Other Questions
What do you think it means when Gilgamesh says ""A name i will establish?"" On March 1, 2021, E Corp. issued $1,000,000 of 10% nonconvertible bonds at 103, due on February 28, 2031. Each $1,000 bond was issued with 30 detachable stock warrants, each of which entitled the holder to purchase, for $50, one share of Evan's $25 par common stock. On March 1, 2021, the market price of each warrant was $4. By what amount should the bond issue proceeds increase shareholders' equity? PLS I NEED HELP ASAP!! MARKING BRAINLIEST1) What is the genre of Joker film? What in the poster supports a viewers understanding the genre even if they knew nothing about the film?2) What characters if any are featured on the poster? What does the way they are represented on the poster say about the character and/or the actor?3) What can you tell about the tone or mood of the film from the poster? Think about lighting, composition of the items in the poster, and the font of any writing. 4) How does the tagline add to the poster and intrigue viewers?5) Is the title large or small? Are any actor/actress names in a larger font? What does this say about the main appeal of the film? 6) What in your opinion is the main hook in the poster that would encourage people to see this film? How is the hook highlighted in the poster? pls help:( ill mark brainlest! 4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet Why was periodic table developed name one state of matter Un bombardeo pica, formando ngulo de 53o con la vertical, y abandona una bomba a una altura de 2400 pies. Se observa que el proyectil llega al suelo 5 segundos despus de is -3.7 less than,greater than or equal to -3.8 ? Evaluate the expression You are a transplant surgeon who is preparing to do a heart transplant on a young mother. The donor has been identified and the organ is being harvested right now. It should be to you within 12 hours. The timing was good. You do not believe that the mother would have lived much longer without the transplant. You know that there are a number of people on the transplant list that will not be so lucky. When you are discussing the procedure with her husband, you realize that she has recently been exposed to her young daughter who has just come down with chickenpox. She has never had chickenpox before and you are concerned. If you convey this information to the transplant team, she will not receive the transplant. The heart will go to the next match on the transplant list. There is no real reason to expect that she will become ill. However, if she does, it is not likely that she will be able to overcome the virus with the anti-rejection drugs she will be given. She could become very sick and even die. If she does, then the transplant will not go to another.What are the ethical issues that you face?What should you do?What would you do? FIRST PERSON TO ANSWER CORRECTLY GET BRAINLIEST!!Can you play Nitroball on a basketball court? What is the slope intercept for the line below? Find the slope: A.2/5B.-2/5C.5/2D.-5/2 please help me with this Vocabulary what is something you can relate to in political parties? HELP!!!!!!!What is 2 8/10 + (-3.5) in decimal form In a covalent bond electron pairs are Steps to subtracting a negative fraction from a positive decimal Question 5 of 10A call-and-response style begins with a group introducing a melody and thenothers repeating a similar or identical melody back.A. TrueB. False