At a school fete, Nicole buys 5 books and 2 CDs for $50, and Sharyn buys 2 books and 3 CDs for $31. Find the price of

i. A book
ii. A CD

Answers

Answer 1

Answer:

Book = $8 each

CD = $5 each

8 x 5 = 40

2 x 5 = 10

= 50

8 x 2 = 16

5 x 3 = 15

= 31

Please mark as brainliest.

Answer 2

Answer:

One book equals $8 and one CD equals $5

Step-by-step explanation:

Let books be denoted as 'x' and CDs as 'y'

5x + 2y = 50    ...1

2x + 3y = 31    ...2

I usually eliminate the y variable, and to do this, you multiply the first equation by 3 and the second equation by 2, because the lowest common multiple between 2 and 3 is 6.

...1*3    and    ...2*2

15x + 6y + 150    ...3

4x + 6y = 62    ...4

Eliminate y by taking ...4 away from ...3

15x - 4x = 150 - 62

11x = 88

x = 8

Sub this value into ...1

5(8) + 2y = 50

40 + 2y = 50

Rearrange

2y = 50 - 40

2y = 10

y = 5  

This means that one book is $8 and one CD equals $5


Related Questions




If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, add 3 to it and multiply the result by

Answers

Answer:

6

Step-by-step explanation:

u use the equation 2x

so It looks like this...2(3)

so the result is 6

pls mark me as brainliest

Student council is selling Roses and Candy Grams for Valentine's Day. Each Candy Gram costs $1.50
and each Rose costs $2.00. The student council made $368 from their sales. They sold a total of 217
Roses and Candy Grams. How many roses were sold? Show all your work for full marks! (Solve the linear
system using substitution or elimination).
Letr represent
Let c represent
I

Answers

Answer:

Number of Roses sold = 132

Number of Candy Grams sold = 85

Step-by-step explanation:

Let the number of Roses sold = [tex]r[/tex]

Let the number of Candy Grams sold = [tex]c[/tex]

Cost of one Rose = $1.50

Cost of [tex]x[/tex] Roses = $1.50 [tex]r[/tex]

Cost of one Candy Gram = $2.00

Cost of [tex]y[/tex] Candy Grams =  [tex]\$2.00 \times c[/tex]

Total number of Roses and Candy Grams sold = 217

i.e.

[tex]r+c=217 ..... (1)[/tex]

Total cost = $368

Writing equation as per question statement:

[tex]\$1.50r+\$2.00c=\$368 ..... (2)[/tex]

Using elimination method, let us eliminate [tex]y[/tex] of the two equations.

Multiplying equation (1) with 2 and subtracting equation (2) from it:

[tex]0.50r=2\times 217 - 368\\\Rightarrow 0.50r=434 - 368\\\Rightarrow 0.50r=66\\\Rightarrow r=132[/tex]

By equation (1):

[tex]c=217-132\\c=85[/tex]

So, the answer is:

Number of Roses sold = 132

Number of Candy Grams sold = 85

If the geometric mean between 1/9 and m is 2, then find the value of m.​

Answers

Answer:

Letmeansareaandb

then1,a,b,64areinGP

∴64=1×r

2

∴r=4

thena=1×r=4

b=1×r

2

=16.

So, the correct option is '4 and 16'

the fastest train in the western hemisphere is acela express on a route between boston,massachusetts and new haven,conneticut the train regulary travels 135 miles in 60 minutes what is the speed in mies per minutes on the portion of the route

Answers

Answer:

acela express

Step-by-step explanation:

it travles 135 miles in and hout

Answer:

2.25

Step-by-step explanation:

its right on edg

a car can drive 600 miles on 18 gallons of gasoline. How many miles can a car drive on 15 gallons of gasoline​

Answers

Answer:

Use the cross technique if it’s name like that in English but , I wish you can understand it from what I‘ve written .

it would be about 500 miles. if you divide 600 by 18 to get the miles for 1 gal (about 33.3). then you multiply it by 15 to get the 500 (499.5 rounded up)

Help me solve this problem please

Answers

Answer:

(2,5) is right answer ok

Rhonda bought her son an inflatable pool for the summer. It took her twenty minutes
to fill the pool to a depth of 6 inches. What is the unit rate per minute? (inches per minute)

Answers

Answer:

the unit rate would be 0.3 inches per minute (i'm pretty sure)

Step-by-step explanation:

because 6 divided by 20 = 0.3

hope this was correct and i hope this helped have a good rest of your day :)

plz help asap
thanks xoxoxoxoxox

Answers

i cannot see a pictureesss
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Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm. What is the length of AE¯¯¯¯¯ ? Enter your answer in the box. the length of AE¯¯¯¯¯ = cm

Answers

Answer:

3

Step-by-step explanation:

I took the test

What is 1/3-5/6/5/6 enter ur answer of simplest form

Answers

Answer: 0.30555555555

Step-by-step explanation:

the last customer of the day is a loyal customer who brings in a $15.00 off coupon. She purchases two paint brushes, one dozen colored pencils, and one sketch book. What percent did she save by using her coupon?

Answers

It honestly depends on how much everything costs. If you tell me how much each cost, then I can answer it. :)

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Answers

Answer:

its c

Step-by-step explanation:

TRUE OR FALSE: When writing a number in scientific notation, the first number must be between 1 and 9

Answers

A number is written in scientific notation if it's composed of a whole number or decimal between 1 and 10 (including 1, but not 10) times a power of ten.

Answer:

True! Well kind of  

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18(x + 1) = -54 pls help solve this...​

Answers

Answer:

x = 71

Step-by-step explanation:

18(x + 1) = -54

to start off, subtract 18 from both sides

18 - 18(x + 1) = -54 - 18

that should give you

x + 1 = 72

(its safe to take out paranthesis from problem by now) now take away 1 from each side

x + (1 - 1) = 72 - 1

that should give you

x = 71

complete the statements below about the graphs of y=-2x and y=x

Answers

Answer:

Compared to the graph of y = x, the graph of y = -2x is steeper.

Compared to the graph of y = x, the graph of y = -2x intersects the y-axis at the same point.

Compared to the graph of y = x, the graph of y = x + ⅔ is equally steep.

Compared to the graph of y = x, the graph of y = x + ⅔ intersects the y-axis at a higher point.

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiStep-by-step explanation:

Please help
Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week.
Which equation could you use to find how long it will take to save for the guitar?
$253.77 + $136.27 = $23.50 w
$253.77 - w = $136.27 + $23.50
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Answers

Answer:

is  the last one brof

Step-by-step explanation:

I’d say the third one

It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minutes does it take to wash just one window?
0 6 minutes
60 minutes
180 minutes
5.400 minutes

Answers

Answer:

6 minutes

Step-by-step explanation:

3 hours = 180 minutes

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Answers

Answer:

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Step-by-step explanation:

EASY MATH

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Answers

The function rule is y=x^2.

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Use a sentence to describe c(10)=-3

Answers

Answer:

a number times ten equals negative three

Step-by-step explanation:

A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a
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form for this situation.

Answers

Answer:

y = 15x + 50

Step-by-step explanation:

We set out by finding the slope

the two points give are (15,275) and (25,425)

Slope m is;

y2-y1/x2-x1 = (425-275)/25-15 = 150/10 = 15

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Answers

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Step-by-step explanation:

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Answers

Answer:

1block=2cm

1cm=10mm

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1000÷20=50

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Answers

it’s a
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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Amrit initiated new venture with cash rupees 20000 and bank balance rupees 80000 journal entry​

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

I am not sure sorry

Step-by-step explanation:

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