Megan has $50 and saves $5.50 each week. Conner has $18.50 and saves $7.75 each week. After how many weeks will Megan and conner have saved the same amount?

Answers

Answer 1

After 14 weeks, both Megan and Conner will have saved the same amount.

Step-by-step explanation:

Amount Megan have = $50

Amount saved each week = $5.50

Amount Conner have = $18.50

Amount saved each week = $7.75

Let,

x be the number of weeks.

According to given statement;

M(x) = 50+5.50x    Eqn 1

C(x) = 18.50+7.75x   Eqn 2

For amount to be same;

Eqn 1 = Eqn 2

[tex]50+5.50x=18.50+7.75x\\50-18.50=7.75x-5.50x\\31.50=2.25x\\2.25x=31.50\\[/tex]

Dividing both sides by 2.25

[tex]\frac{2.25x}{2.25}=\frac{31.50}{2.25}\\x=14[/tex]

After 14 weeks, both Megan and Conner will have saved the same amount.

Keywords: functions, division

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Related Questions

14. Carla needs 1,600 beads to make
8 necklaces. She divides the beads
equally. How many beads does Carla use
for each necklace? What basic fact did
you use?

Answers

Answer:I don’t know

I thought you won’t grieve me he answer straight up

Step-by-step explanation:

For every 8 tokens you have your friend has 3.

After you give half of your tokens to your friend Your friend now has 18 more tokens than you.

How many tokens did you start with.

Answers

Initially I had 48 tokens initially

Solution:

Given that , For every 8 tokens you have your friend has 3

Then, let us assume that, we have 8n tokens. Then our friend will have 3n tokens

After you give half of your tokens to your friend Your friend now has 18 more tokens than you.  

We have to find how many tokens did you start with

Now, after giving away half of tokens we will have 8n/2 = 4n tokens

And our friend will have 4n + 3n = 7n tokens.

And according to given information

Friends tokens – my tokens = 18 tokens

7n – 4n = 18  

3n = 18  

n = 6

Then, I will have initially 8n = 8 x 6 = 48 tokens.

Hence, I had 48 tokens initially

What’s the LCM of 6 and 9

Answers

Answer:

Step-by-step explanation:

The answer is 18

Answer: The LCM of 6 and 9 is 18.

Step-by-step explanation: Using your basic multiplication facts, you know that 6 and 9 are both multiples of 18. Check to make sure 18 is the LCM.

Plz tell me the domain

Answers

Answer:

Step-by-step explanation:

this  is  an solution

QUICK!!! WILL GIVE BRAINLIEST!!!!
The table represents a linear function.

A two column table with six rows. The first row, x, has the entries negative 4, negative 2, negative 1, 1, 2. The second column, y, has the entries, negative 2, negative 10, negative 14, negative 22, negative 26.
What is the slope of the function?

–8
–4
2
5

Answers

Answer:

-4

Step-by-step explanation:

You can tell because every time the slope decreases by 5.

Answer:

-4

Step-by-step explanation:

Take the first two sets of points (-4,-2) and (-2,-10)

Then use the formula  Y2 - Y1 / X2 - X1  to find the slope

-10 + 2 / -2 + 4 = -8/2 which can be reduced to -4

Kaitlin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kaitlin $5.50 per pound, and type B coffee costs $4.25 per
pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $448.00. How many pounds of type A coffee were used?

Answers

Answer:

The quantity of Type A coffee were used is 32 pounds .

Step-by-step explanation:

Given as :

The cost of type A coffee = $ 5.50 per pound

The cost of type b coffee = $ 4.25 per pound

The total cost of coffee = $ 448.00

The quantity of coffee of type B is twice than type A

Let The quantity of type A coffee = x pound

So, The quantity of type B coffee = 2 × x   pound

Now, According to question

x × $ 5.50 + 2 x × $ 4.25 = $ 448

Or,  x × $ 5.50 + x × $ 8.5 = $ 448

Or, 14 x = 448

∴ x = [tex]\frac{448}{14}[/tex]

I.e x = 32

∴ The quantity of type A coffee = 32 pound

And, The quantity of type B coffee = 2 × 32 = 64   pound

Hence The quantity of Type A coffee were used is 32 pounds . Answer

Final answer:

By setting up an equation based on the costs per pound and the relationship between quantities of coffee types A and B, we find that Kaitlin used 32 pounds of type A coffee for her blend.

Explanation:

We need to determine how many pounds of type A coffee were used in the blend, given that twice as many pounds of type B were used and that the total cost was $448.00. Let x be the pounds of type A coffee. Then, 2x will represent the pounds of type B coffee since twice as much type B is used compared to type A.

The cost equation can be represented as:

5.50x + 4.25(2x) = 448

Solving for x:

5.50x + 8.50x = 448

14x = 448

x = 448 / 14

x = 32

Therefore, Kaitlin used 32 pounds of type A coffee for her blend.

Order the following least to greatest

-4, -5.1, and -14/3

Answers

Answer:

-5.1, -14/3, -4

brainlist accepted!;)

What is the answer to this?

Answers

Answer:

6

Step-by-step explanation:

Split the numerator/ denominator into like factors, that is

= [tex]\frac{72}{12}[/tex] × [tex]\frac{x^2}{x^2}[/tex] ← cancel to give 1

= 6 × 1

= 6

Raffle tickets are sold and 6 prizes are available for the lucky draw. A total of 1,356 raffle tickets are sold for 4/5 dollars each and the 6 prizes cost 8 3/10 each. How much money was raise from the raffle tickets?

Answers

Answer:

US$ 1,084.80 were raised from the raffle tickets and US$ 1,035 are the profits after paying the prizes.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of raffle tickets sold = 1,356

Cost of each raffle ticket = US$ 4/5

Number of prizes = 6

Cost of each prize = US$ 8 3/10

2. How much money was raised from the raffle tickets?

For easier calculation, let's convert the fraction numbers to decimal numbers:

Cost of each raffle ticket = US$ 4/5 = US$ 0.80

Cost of each prize = US$ 8 3/10 = US$ 8 + 0.30 = US$ 8.30

Now, we use this formula to calculate how much money was raised and the profits:

Profits = (Number of tickets sold * Cost of each ticket) - (Number of prizes * Cost of each prize)

Replacing with the real values, we have:

Profits = 1,356 * 0.80 - 6 * 8.30

Profits = 1,084.80 - 49.80

Profits = 1,035

US$ 1,084.80 were raised from the raffle tickets and US$ 1,035 are the profits after paying the prizes.

Final answer:

The total amount of money raised from the sale of 1,356 raffle tickets, priced at 4/5 dollars each, is $1,084.8.

Explanation:

To determine how much money was raised from the raffle tickets, we first need to calculate the total cost of each ticket and then multiply it by the total number of tickets sold. The question states that each raffle ticket is sold for 4/5 dollars. Since a total of 1,356 raffle tickets were sold, the total amount raised can be calculated as follows:

Total amount raised = Price per ticket × Total number of tickets

= (4/5) × 1,356

= 1,084.8 dollars

Therefore, the total amount of money raised from the raffle tickets is $1,084.8.

When a 49 pound weight is attached to a spring, the spring stretches 7 inches. Assume that the length of the spring y varies directly
with the weight attached x. Write and solve a direct variation equation to
find the length of the spring when a 63 pound weight is attached.

Answers

900 because the length is small

Which of the following expressions could be used to represent "three less than half a number"?

A. 3 - 1/2n
B. 1/2n - 3
C. 3n - 1/2
D. 1/2 - 3n

Answers

Answer:

B. 1/2n - 3

Step-by-step explanation:

One way to get half a number is to multiply it by 1/2.

The phrase "a number less than an other number" often indicates subtraction.

[tex]\frac{1}{2}n-3[/tex]

Answer:1/2n-3

Step-by-step explanation:

because three less than half of a number means half minus three

In one year , Melinda’s parents spend 2,440.90 on cable and internet service . If they spend the same amount each month , estimate with the monthly fee is for cable and internet .

Answers

Answer:

The monthly fee for cable and internet is 200.

Step-by-step explanation:

Given:

Amount spend on one year for cable and internet service is 2440.90.

Now, to get the monthly fee for same amount spend on a year, by dividing the amount spend on a year with 12. As in one year there are 12 months.

So, [tex]2440.90\div 12[/tex]

    =[tex]203.41[/tex]

By estimating the amount we get 200. As estimating means to round off the number to the nearest of whole number.

Therefore, the monthly fee for cable and internet is 200.

SINGLE AND DOUBLE REPLACEMENT
ASSIGNMENT 4
Balance the equations below:
1. Al +_HCI- H2 + AICI:

Answers

Answer:

gl hf

Step-by-step explanation:

Which of the following tables represents a function?


x 3 3 4 4
y 2 −2 3 −3

x 5 −5 5 −5
y 2 2 8 8

x 3 3 5 5
y 4 5 6 7

x 4 −4 5 −5
y 2 2 3 3

Answers

Answer:

x 4 −4 5 −5

y 2 2 3 3

Step-by-step explanation:

This is the obvious answer, since there are no repetitive x-coordinates.

I am joyous to assist you anytime.

The table which represents the function is:

x    4    −4       5      −5

y    2     2        3         3

A function is a mathematical relationship where each input (x-value) corresponds to exactly one output (y-value).

To determine which table represents a function, we need to check if there are any repeated x-values with different y-values.

x    4    −4       5      −5

y    2     2        3         3

This table  represent a function.

Each x-value corresponds to a unique y-value, and there are no repeated x-values with different y-values.

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i need help with my math ​

Answers

Answer:

12 hours

Step-by-step explanation:

Let the cruise ship travel x hours before the container ship caught up and the container ship starts y hour after the cruise ship starts.

So, the distance traveled by the cruise ship in x hours = distance traveled by the container ship in (x - y) hours.

So, x - y = 10 ........ (1) (Given)

And 5x = 6(x - y)

x = 6y .......... (2)

Now, solving equations (1) and (2, we get 5y = 10, ⇒ y = 2 hours.

And x = 6y = 12 hours.

So, the cruise ship travels for 12 hours before the container ship caught up. (Answer)

Factor the expression into an equivalent form. ab^2 - b

Answers

Answer:

ab² - b = b(ab -1)

Step-by-step explanation:

The variable b is common to both terms here.  Thus,

ab² - b = b(ab -1)

Some friends made $48 selling
lemonade. If each friend
makes $12, how many friends
divided the money?

Answers

4
Explanation: 12*4 =48
The answer is 4, because if each one got $12 and it totaled to 48 you divide it and 48/12 it equals to 4

Decimal Operati
1. Find the sum of the expression.
0.975 + 3.8

Answers

Answer:

4.775

Step-by-step explanation:

Answer:

4.775

Step-by-step explanation:

Add

0.975

3.800 =

4.775

       

Write each percent as a fraction in lowest terms.
1. 15% Too 2. 36% tos
3. 44% 10
4. 45%
5. 8% 18o
- 6. 60%

Answers

Answer:

Step-by-step explanation:

1) 15%=15/100=3/20

2) 36%=36/100=9/25

3) 44%=44/100=11/25

4) 45%=45/100=9/20

5) 8%=8/100=2/25

6) 60%=60/100=6/10=3/5

I am a two-digit even number. I am
a multiple of 5. My tens digit is 8
more than my units digit.

Answers

The answer is 80 because 8>0 80 is a multiple of 5, it’s even and it a two digit number

Please help thank you

Answers

Step-by-step explanation:

Look at the picture.

DOMAIN:

[tex]-5\leq x\leq4\to x\in[-5,\ 4][/tex]

RANGE:

[tex]-4\leq y\leq9\to y\in[4,\ 9][/tex]


Anna's birthday is tomorrow. Her friend Emma decides to buy chocolate covered strawberries to take to the birthday party. Emma has $12.00 to spend on the strawberries. The strawberries are packaged in 3 different sizes that vary in price.

Small box -- 8 ounces --$4.50
Medium box -- 12 ounces -- for $6.50
Large box -- 1 pound -- $7.25

Choose all the statements that are TRUE .

A.The large box contains twice as many ounces of strawberries as the small box.

B.To get the maximum ounces for her money, Emma should buy 1 large and 1 small box of strawberries.

C.Emma spends a total of $11.00; therefore, she is purchasing 2 small boxes of strawberries.

D.Emma purchases a small box and a medium box of strawberries. The total purchase is $11.75.

CHECK ALL THAT APPLY PLS

Answers

Answer:

A.The large box contains twice as many ounces of strawberries as the small box.   TRUE

B.To get the maximum ounces for her money, Emma should buy 1 large and 1 small box of strawberries. TRUE

C.Emma spends a total of $11.00; therefore, she is purchasing 2 small boxes of strawberries.  FALSE

D.Emma purchases a small box and a medium box of strawberries. The total purchase is $11.75. FALSE

Step-by-step explanation:

Here, the amount Emma has to be spent = $12

According to the question:

Small box -- 8 ounces --$4.50

Medium box -- 12 ounces -- for $6.50

Large box -- 1 pound -- $7.25

Now, the given statements are:

A.The large box contains twice as many ounces of strawberries as the small box.

The amount of strawberry in large box  =  1 pound

Amount of strawberry in small box  = 8 ounce

Now, double of 8 ounce = 16 ounce = 1 pounds

So, the given statement is TRUE.

B.To get the maximum ounces for her money, Emma should buy 1 large and 1 small box of strawberries.

Total ounces in 1 large and 1 small box = 16 ounce + 8 = 22 ounces

The price total = $4.40 + $7.25 = $11.65

So, the given statement is TRUE.

C.Emma spends a total of $11.00; therefore, she is purchasing 2 small boxes of strawberries.

cost of 1 small box = $4.50

Cost of 2 small box =  2 x $4.50 = $9

The given statement is FALSE

D.Emma purchases a small box and a medium box of strawberries. The total purchase is $11.75.

cost of 1 small box = $4.50

Cost of 1 medium box =  $6.50

So, the total cost is  $4.50 + $6.50  = $11.00

So, the given statement is FALSE.

The graph of f(x) = 'is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
) Intro
Done

Answers

Answer:

the functions have the same domains

Step-by-step explanation:

because since the functions f(x) and g(x) have the same (x)

The only value that is in the domains of both functions is 0.

and the range of g(x) is all values less than or equal to 0 are correct.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The original function is f(x)=√x

As this is condition for √x function, x≥ 0

Domain= [0, infinity)

Range= [0, infinity)

After the reflection across x-axis and y-axis, we get a function,

g(x)=-√-x

-x≥ 0 means x≤ 0,

So,

Domain= (-infinity, 0]

Range= (-infinity, 0]

From this you can see that the only value that is in the domains of both functions is 0.

The range of g(x) is all values less than or equal to 0.

Hence,  the only value that is in the domains of both functions is 0.

and the range of g(x) is all values less than or equal to 0 are correct.

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The graph of f(x) =sqrt of x is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Which statements about the functions f(x) and g(x) are true? Check all that apply. The functions have the same range. The functions have the same domains. The only value that is in the domains of both functions is 0. There are no values that are in the ranges of both functions. The domain of g(x) is all values greater than or equal to 0. The range of g(x) is all values less than or equal to 0.

A tv cost $450. During a special sale, its marked 1/3 off. What's the sale price of the tv

Answers

1/3 off means it is selling for 2/3 the original price.

Multiply the price by 2/3:

450 x 2/3 = (450 x 2) /3 = 900/3 = 300

The sale price is $300

Answer:

$300

Step-by-step explanation:

The TV's regular price is 450 dollars, and we are looking for the sale price after a third of it gets marked off.

We first need to find 1/3 of 450.

[tex]\frac{1}{3}* 450 = \frac{450}{3}=150[/tex]

One third of the original price is $150.

Now, we need to subtract 150 from 450.

[tex]450-150=300[/tex]

So, the sales price of the TV would be $300.

Hope this helps!

Jack ran 150 miles a week.Joanna ran 39 mote times than Jack.How many miles did Joanna run?​

Answers

Answer:

5850 miles

Step-by-step explanation:

150 X 39 = 5850

We multiple because it says Joanna ran 39 more TIMES than Jack.

Joanna ran 5850 miles.

HELP QUICK PLEASEE
round your answer to the nearest hundredth and find

Answers

Answer:

45 degrees

Step-by-step explanation:

As all of the angles in a triangle add up to 180 and we already know that one angle is 90, that means that the sum of the other two angles is 90. So, you can do 90/2=45.

Write a question to finish the word problem then solve the problem. The art teacher has 9 boxes of crayons there are 8 crayons in each box

Answers

How many crayons are there in total? The answer is 9 boxes multiplied by 8 crayons which equals 72 total crayons.

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −5x2 − 9x + 12 = 0

A:a = −9, b = 12, c = 0
B: a = −5, b = −9, c = 12
C: a = 5, b = 9, c = 12
D:a = 9, b = 12, c = 0

Answers

Answer:

B

Step-by-step explanation

Answer:

Option B. a = −5, b = −9, c = 12

Step-by-step explanation:

The general form of the quadratic equation is as following

ax² + bx + c = 0

Where a, b and c are constants.

And the given equation is −5x2 − 9x + 12 = 0

Comparing the given equation to the general form

  ax² + bx + c = 0

−5x2 − 9x + 12 = 0

So, a = -5  , b = -9  and   c = 12

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

So, the answer is option B: a = −5, b = −9, c = 12

A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 feet,and the larger shipping container has side lengths of 10 feet. How many crates will fit in the largest shipping container?Explain your reasoning

Answers

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

64 crates will fit into the largest shipping container.

1. Calculate the volume of each crate:

  Volume [tex]\( V_{\text{crate}} \)[/tex] of a cube with side length s:

 [tex]\[ V_{\text{crate}} = s^3 = (2.5)^3 \] \[ V_{\text{crate}} = 2.5 \times 2.5 \times 2.5 \] \[ V_{\text{crate}} = 15.625 \text{ cubic feet} \][/tex]

2. Calculate the volume of the larger container:

  Volume [tex]\( V_{\text{container}} \)[/tex] of the larger cube-shaped container:

 [tex]\[ V_{\text{container}} = (10)^3 = 1000 \text{ cubic feet} \][/tex]

3. Determine the maximum number of crates that can fit:

  To find out how many crates can fit into the container, divide the volume of the container by the volume of one crate:

 [tex]\[ \text{Number of crates} = \frac{V_{\text{container}}}{V_{\text{crate}}} \] \[ \text{Number of crates} = \frac{1000}{15.625} \] \[ \text{Number of crates} \approx 64 \][/tex]

A new singer is building a fan base. The table shows the number of people who attended her first,
second, third, and fourth month of her career. Graph the data shown in the table.​

Answers

What you want to do is plot each point on the graph according to both the x and y coordinate. Then, when you've drawn all four points in their appropriate place, draw a relatively straight line through all of them. You might need to use a ruler for that part.

The table shows the month and the the total number of people

The graph for the given table is attached below.

Given :

The table shows the number of people who attended her first, second, third, and fourth month of her career.

From the given table the month represents x  and number of people represents y

Lets make 4 coordinates  from the given table

Plot all the 4 points on the graph

(1, 124), (2,201)  (3,390)

(4,700)

For (1,124) , we take x=1  and y = 124 on graph

Look at the point where x=1  and y=125 intersects. That point is (1,124)

All the data are shown in the graph attached below

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Gases are not able to act as a solvent if a solid is the solute. -5a + b = 87a + 9b = -32 You are installing an updated driver for a hardware device on your system. A dialog box displays indicating that Microsoft has digitally signed the driver you are installing. What benefits does driver signing provide? (Select TWO). What is the pOH of a 0.0092 M CsOH solution? A) 2.04 B) 16.04 C) 9.31 D) 4.69 E) 11.96 A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?A) $94.03B) $96.75C) $98.78D) $102.07E) $105.3 Television is different from film in that Group of answer choices None of the answers are correct film is viewed in large format, creating a different aesthetic experience all answers correct television images are made up of pixels that are constantly changing television images contain less information than film (low definition) A woman drives 169/4 miles to work each day . She stops for coffee at a shop that is 2/5 of the way to her job . How far does the woman drive before she stops for coffee? Consider this situation: A baseball player dives head-first into second base and slows down while sliding on the infield dirt.Of the forces listed, identify which act upon the player.can be more then one answer a. Normal Forceb. Gravity Forcec. Applied Forced. Friction Forcee. Tension Forcef. Air Resistance Force Does Hyman's team have the ability to do this same procedure with other unidentified soldiers and if so, what would they need to move forward? Project Marvel is a five-year project. The project has a total cash inflow of $350,000. The present value of such inflows is $275,000. The project requires an initial investment of $200,000 and additional working capital of $25,000. What is the net present value of the project? a. $0 b. $50,000 c. ($50,000) d. ($250,000) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 6 of the multiple-choice questions and 4 of the open-ended problems, in how many ways can the questions and problems be chosen? A) 1260 B) 1296 C) 261,273,600 D) 21,772,800