Nakisa spent 328 on a total of CDs and DvDs. If Cds coat 12.00 and DVDs coat 16.00 each, how many CDs did Nakisa buy?

Answers

Answer 1

Answer:

[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]

Step-by-step explanation:

1) Set up an equation

Let c be the number of CDs Nakisa bought.

Let d be the number of DVDs Nakisa bought.

[tex]328=12c+16d[/tex]

Explanation: Each CD costs $12 and each DVD costs $16. Nakisa spent $328 altogether, which means $12c+$16d is equal to $328.

The question is asking for the number of CDs that Nakisa bought, so our goal is to isolate c in the equation above.

2) Isolate c

[tex]328=12c+16d[/tex]

Subtract both sides by 16d

[tex]328-16d=12c+16d-16d\\328-16d=12c[/tex]

Divide both sides by 12

[tex]\frac{328-16d}{12}=\frac{12c}{12} \\\frac{82}{3}-\frac{4}{3}d=c[/tex]

[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]

I hope this helps!


Related Questions

Jane needs $20 to buy her radio. She has saved $15. What percent of the cost of the radio has she saved?

Answers

Answer: 75%

Step-by-step explanation:

15/20 = 3/4 or 75%

Solve the formula for the surface area of a cone for the height of the cone.​

Answers

Answer:

what are the measurements??

Step-by-step explanation:

Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?

Answers

Answer:

$8,000 in Treasury bills

$7,000 in Treasury bonds

$5,000 in corporate bonds

Step-by-step explanation:

Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y

From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;

So mathematically, this will be $(x - 3000)

So therefore, the amount invested in each will be;

x + y + x-3000 = 20,000

2x + y = 20,000 + 3000

2x + y = 23,000 ••••••••(i)

Let’s now work with the simple interests;

For treasury bills;

5% = 5/100 * x = 5x/100

For Corporate bonds ;

10% = 10/100 * (x -3000) = (x-3000)/10

For Treasury bonds 7%

7% = 7/100 * y = 7y/100

Adding all gives the total interest;

5x/100 + 7y/100 + (x-3000)/10 = 1390

Multiply through by 100

5x + 7y + 10(x-3000) = 1390 * 100

5x + 7y + 10(x-3000) = 139,000

5x + 7y + 10x -30,000 = 139,000

15x + 7y = 139,000 + 30,000

15x + 7y = 169,000 •••••••••(ii)

So we have two equations to solve simultaneously;

From i, y = 23,000 - 2x

Put this into ii

15x + 7(23,000 -2x) = 169,000

15x + 161,000 - 14x = 169,000

x + 161,000 = 169,000

x = 169,000 - 161,000

x = $8,000

y = 23,000 - 2x

y = 23,000 - 2(8,000)

= 23,000 - 16,000 = $7,000

So the last investment amount is x-3000 = 8,000 -3,000 = $5,000

Write 1/8 as a decimal​

Answers

Answer:

0.125

Step-by-step explanation:

1/8=0.125

Which kind of expression is 400(0.5)t?

Answers

Answer: It is an Exponential Decay

Step-by-step explanation: Look at the 0.5 it is below the value of 1 anything below the value of 1 is most likely an exponential decay

Answer:

It is an Exponential Decay

Step-by-step explanation:

Add, Subtract, Multiply , or Diviide? ANSWER ASAP 100 points

Answers

Answer:

Add

Step-by-step explanation:

When multiplying exponents with same base the operation is adding up

a^b*a^c = a^(b+c)

Answer:

[tex]add[/tex]

Step-by-step explanation:

When multiplying in same base the operation you have to do is adding

Ex:-

[tex] {a}^{2} \times {a}^{8} = {a}^{2 + 8} = {a}^{10} [/tex]

what is the solution for x in the equation 5/3 x +4=2/3 x

Answers

Answer:

x = - 4

Step-by-step explanation:

Given

[tex]\frac{5}{3}[/tex] x + 4 = [tex]\frac{2}{3}[/tex] x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

100 pts + brainliest for the best answer :)

Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?

Least number of tickets = ___

Answers

Step-by-step explanation:

Least No. of tickets is 100

Answer:

least number of ticket is 100

Suzanne bought 6 paint sets. Each set contains the same number of brushes. She has 18 brushes. Write and solve an equation to determine the number of paint brushes that came in each paint set. Explain the strategy that you used to solve the equation.

Answers

Answer:

3

Step-by-step explanation:

Given that:

The number of paint sets, Suzanne bought= 6

As each set contains the same number of brushes.

Let x be the number of brushes each set contains.

So, the total number of brushes in 6 sets = 6x.

It is given that the total number of brushes she has is 18, which is equals to 6x.

So, the required equation is

[tex]6x=18[/tex]

[tex]\Rightarrow x=\frac {18}{6}[/tex]

[tex]\Rightarrow x=3.[/tex]

Hence, the number of paint brushes each set contains is 3.

Can anyone do 4.503 times 8.04

Answers

Answer:

The answer is 36.20 :)

Step-by-step explanation:

Answer: 36.20412

Step-by-step explanation: it’s easy when you write it down on paper and then times it

(b) Carmen bought 19 pounds of rice for $11. How many pounds of rice did she get per dollar? pounds per dollar​

Answers

Per dollar she’ll get 1.72 pounds so approximately 2

Factor the expression.
81x^2 + 36x + 4

Answers

Answer:

(9x+2)^2

Step-by-step explanation:

Find the next term of the sequence.

16, 9, 2, –5,

Answers

Answer:

-12

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The value of x is 7
X=7

Juan invests $7500 at 6% interest in one year. How much money will he have if the interest were compounded A. yearly B. Daily C. why are the amounts in answers a and b different

Answers

Answer:

A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).

Step-by-step explanation:

Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)

t = time(time in respect to years ; how long it is compounded).

For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$

For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$

C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)

Other word for sequence

Answers

Step-by-step explanation:

Issun Sengeki... Messatsu!

Another word for sequence can be order. There's a lot of other examples and synonyms out there, so choose the best one for you!

Quote:

"You've fulfilled your life by allowing me to end it!"

- Akuma

what is the slope of (2, 3) and (4,6)

Answers

Answer:

Slope equals 1 1/2

Answer:

3/2 i think

Step-by-step explanation:

Sorry for the weird looking image help me please :)

Answers

1 : Go .....

[tex]A= bh \: [/tex]

Divided sides by b

[tex] \frac{A}{b} = h \times \frac{b}{b} \\ [/tex]

thus ;

[tex]h = \frac{A}{b} \\ [/tex]

_________________________________

2 : Go .....

[tex]area = height \times length(base) \\ [/tex]

[tex]45 = h \times 9[/tex]

Divided sides by 9

[tex] \frac{45}{9} = h \times \frac{9}{9} \\ [/tex]

[tex]h = 5 \: ft[/tex]

And we're done...

♥️♥️♥️♥️♥️

Graph 6x=-36 pleaseeeeeeeee helpppppp

Answers

Answer:

6 times 6=36

Step-by-step explanation:

HOPE THIS HELPS

Answer:

x = -6

Step-by-step explanation:

The  graph of 6x = -36:

Transpose to find x

6x = -36

6x/6 = -36/6

x = -6

Therefore the line should cut your graph at -6 on the x-axis (the horizontal one).

See red line of the image attached.

A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope
that best represents this rate?

Answers

Answer:

F

Step-by-step explanation:

F is the correct graph because the bottom is for minutes and if you drag your finger on the 1 minute you meet 45 which is how many gallon per minute. and if you go to 2 minutes you meet with 90 which is 45+45=90 and 45 is one minute and 90 is 2 minutes.

srry if that was complicated

Hope this helps you!

The graph which best represents the rate of discharge given is graph F.

It is given that discharge rate of a water hose is 45 gallons per minute.

We have to check which graph has a slope that best represents this rate.

What do you mean by discharge rate of water ?

Discharge rate of water is defined as the rate at which drainage water is released from a site.

As per the question ;

The rate of discharge = 45 gallons per minute

So,

We can say that ;

When x = 1 minute

y = 45 gallons

We can conclude that F is the correct graph because the x-axis is for minutes and if you check at time 1 minute you get 45 gallons at the y-axis which shows the no. of gallons per minute.

Thus , the graph which best represents the rate of discharge given is graph F.

To learn more about rate of discharge click here ;

https://brainly.com/question/27401697

#SPJ2

MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.

a. Write a polynomial that represents the combined area of the photo and the frame.

b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.

Answers

It’s well be 2 inches ok

What is the cost of one egg if a dozen eggs cost $1.08? PLEASE HELP MEE

Answers

Answer:

0.09

Step-by-step explanation:

Answer:

$0.09

Step-by-step explanation:

12 eggs= 1.08

1.08/12= $0.09

one egg= $0.09


17.) You want to purchase 4 board games that are $15 each. There is a 6% sales tax. What is the
total amount of your purchase?

Answers

Answer:

$63.60

Step-by-step explanation:

4 board games are $15 each, multiply 4*15 = 60.

There is a 6% sales tax, so it is 6% extra. To calculate 6% as a decimal, divide it by 100, so 6/100 = 0.06. Now that it is 0.06 extra, you add 0.06 to 1.00 because 1.00 is the 100% of the price (the $60). So now it is 1.06 of the price. Multiply 60 * 1.06 and you get $63.60

Answer:

60.36 cents

Step-by-step explanation:

you have to times 60 by .6 then you get 36 and that is how much taxes cost.

y'all i will love u forever if u answer these questions..it's 20 points for answering.

Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cost (c) Tyson must pay after skating h hours. Solve the equation to find the cost to go ice skating for four hours. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.

Cindy is taking her granddaughter to the local pumpkin patch. The pumpkin patch sells pumpkins by the pound. The cost for pumpkins is $0.49 each pound up to 8 pounds. For those pumpkins that weigh more than 8 pounds, the cost is $0.49 each pound for the first 8 pounds and $0.25 per each pound after. If Cindy's granddaughter chooses an 11-pound pumpkin, how much will it cost? Write an equation to find the cost of the pumpkin. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.

Answers

c=18.3+4.8h
c=37.5 for four hours

c=$4.67
(i don’t know the ordered pairs part it’s confusing but hope this helps a little!)

Two families paid a total of $44.00 to see a movie. Each adult ticket cost $8.00. If there were 3 adults and 4 children, how much did each childs ticket cost?​

Answers

Answer:

$5

Step-by-step explanation:

You will multiply $8 by 3 and subtract 44 by that number. You will then divide that number by 4.

Answer:

$5 each

Step-by-step explanation:

total of $44.00

3 adults * $8.00 = $24

$44.00 - $24.00 = $20

$20 * 4 children = $5 each

Which quantity is proportional to 12⁄4?

Answers

Answer:

3

Step-by-step explanation:

12 / 4 = 3

4 can go into 12 three times, so the fraction 12/4 is equal to 3

what is 6.08 rounded to the nearest tenth​

Answers

Answer:

6.1

Step-by-step explanation:

anything 5 and over you round to one, so .08 turns into .1 :) glad i could help

The given decimal number is rounded to the nearest tenth as 6.1.

The given decimal number is 6.08.

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Here, in 6.08 digit in the hundredths place is 8, which is greater than 5.

So, the digit in the tens place increased by 1 and digits after tens place becomes zero.

That is, 6.10

Therefore, the given decimal number is rounded to the nearest tenth as 6.1.

To learn more about the rounding off numbers visit:

brainly.com/question/13391706.

#SPJ6

Given g(x) = -3x - 4, find g (5)

Answers

Answer:

The answer is -19.

Step-by-step explanation:

You have to substitute the x = 5 into the function :

[tex]g(x) = - 3x - 4[/tex]

[tex]g(5) = - 3(5) - 4[/tex]

[tex]g(5) = - 15 - 4[/tex]

[tex]g(5) = - 19[/tex]

7/16 times 2 PLEASE ANSWER SIMPLIFY AND ANSWER HAS TO BE A SIMPLIFIED FRACTION PLS PLS PLS MAKE IT A MIXED NUMBER

Answers

Answer:

[tex]\frac{14}{16}[/tex] simplified to [tex]\frac{7}{8\\}[/tex]

Step-by-step explanation:

[tex]\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}[/tex]


A car travelling at 30 km/h takes 40 minutes to complete a journey. How long would it take if it
travelled at 60 km/h?

Answers

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

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