Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?

Answers

Answer 1

Answer:

4 cassettes and 5 CDs

Step-by-step explanation:

Create a system of equations

c is cassettes and d is CDs

6c+10d=74

c+d=9

I will use substitution

c=9-d

6(9-d)+10d=74

54-6d+10d=74

4d=20

d=5

Plug 5 back into the equation

c+5=9

c=4


Related Questions

Simplify 4(2x3 – 5x2 + 8x + 2) - 6x - 8x3

Answers

Answer:

- 20x² + 26x + 8

Step-by-step explanation:

Given

4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4

= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms

= - 20x² + 26x + 8

What is 3x+5 = 2x+11

Answers

Answer: x = 6

1. Subtract “2x” on both sides. This simplifies the equation to x+5=11

2. Subtract “5” on both sides. This simplifies to x=6, which is your answer.

Describe and correct the error in solving the equation

Describe and correct the error in solving the equation
2(s - 5) = 2 (s + 5)
2s - 10 = 2 s - 10
2s = 2s
0 = 0

Answers

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

What's the area of a room that 18ft by 10ft

Answers

Answer:

180square feet

Step-by-step explanation:

Square footage is calculated by multiplying width by length. So if a room is 18 foot wide by 10 foot long, 18 x 10 = 180 square feet.

Answer:

180 square feet

Step-by-step explanation:

if a room 18ft wide by 10ft long.18×10=180 square feet

In which quadrant would the point
(9.-10) be located?
a) Quadrant 1
b) Quadrant 2
c) Quadrant 3
d) Quadrant 4

Answers

Answer:

D

Step-by-step explanation:

Start with the 9. It goes to your right. It is on the plus x axis.

You are either in quad 1 or quad 4

We need the - 10 to decide which.

+ 10 would go up and that would mean quad 1

- 10 mean going down so you are in Quad 4

Karabo is training by running for the Comrades Marathon ; he starts his training by running 40km per week . Each week he increases the distance covered by 10km (1) Use the formula to calculate the distance he runs in the 12 week of training​

Answers

Answer:

hi

Step-by-step explanation:

hi

YALL I NEED YOU GUYS! Please HELP me I NEED YOU,!

Answers

Answer:

b

Step-by-step explanation:

Marking brainliest

What else should I add

Answers

Step-by-step explanation:

........Student

........ Cousin

......... Child

Answer:

Step-by-step explanation:

daughter cousin (if you have any).mother (if you are one)family member (if it applies)best friend.

I need help with this question

Answers

Answer:32 feet

Step-by-step explanation:

Are (2,9) and (-3,-6) both on the line y - 4x + 6? If not, find an equation for the line that does pass through both points.

Answers

Answer:

points doesn't lie in the given line.

Step-by-step explanation:

firmula for finding the equation of these points are

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]

x1=2 , x2=-3, y1= 9 ,y2=-6

subtitute all values in formula

[tex] \frac{y - 9}{ - 6 - 9} = \frac{x - 2}{ - 3 - 2} [/tex]

[tex]y - 3x - 3 = 0[/tex]

if we put (2,9) and (-3,-6) in new equation then they will satisfy equation.so this is the equation where points lie in the line

Help me pls I don’t understand what this means for me to do

Answers

Answer:

you said sin30 it should say that you can do it with your calculator. unless you need to do it with trigonometric relations. but sin30 should equal .5

Step-by-step explanation:

Seven less than a number is 15

Answers

Answer:

8 is 7 less than 15

Please help me with homework

Answers

2-14:

A) 3x+5y=3(3)+5(2)

=9+10

=19

B) x²+y²=3²+2²

=9+4

=13

C) -5x+9=-5(3)+9

=-15+9

=-6

D) xy-1=(2×3)-1

=6-1

=5

E) 2x²-y=2(3)²-2

=18-2

=16

F) 2y-x+5+x²-3y=2(2)-3+5+3²-3(2)

=4-3+5+9-6

=9

2-15: area=y²+xy+xy

=(y²+2xy) un²

perimeter=y+y+y++y+x+y/2+y+x+y/2

=(6y+2x) un

is 16 a natural, whole, integer, rational or irrational number?

Answers

Answer:

6 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

Answer:

rational

Step-by-step explanation:

The set S = {x\-4 Plz help ASAP

Answers

Answer:

[ - 4, 8 ]

Step-by-step explanation:

parenthesis ( ) is used when end values are not equal to x

brackets [ ] are used when the end values are equal to x

For - 4 ≤ x ≤ 8

Then x can equal both - 4 and 8 , so

[ - 4, 8 ] ← is the appropriate interval notation

Jackie has two new puppies. One weights 5 9/16 pounds, and the other weighs 6 1/4 pounds. Find the difference in their weights.

Answers

Answer:big brrrrrrd

Step-by-step explanation:

yes

Answer:

11/16 pounds

Step-by-step explanation:

The difference between their weights can be found by subtracting 6 1/4 pounds from 5 9/16 pounds to find the difference. To do this we must transfer it from 1/4 to sixteenths which is 4 sixteenths. Then we subtract.

 6 4/16

- 5 9/16

    11/16

brainliest please . . . uwu

is 2/3greater than 0.67

Answers

Answer:

0.67>2/3

Step-by-step explanation:

If you divide 2 by 3, you will end up with 0.6.

Now, you can compare the two numbers 0.6 and 0.67.

Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks

Answers

$210 is what she has in her bank account after 5 weeks.
18*5 =90
300-90= 210

Answer:

$210

Step-by-step explanation:

$300 - (5 x 18)

= 300 - 90

= $210

Find the equivalent equation that results from, halving both sides first and then subtracting
1 from both sides. Show each step. You do not have to solve the equation at the end,

Answers

Answer:

6x - 1 = 9

Step-by-step explanation:

1. first you have to divide every term in the equation by 2

   12x/2 + 4/2 = 20/2

2. simplify

   6x + 2 = 10

3. next you have to subtract one from both sides

   6x + (2-1) = (10-2)

4. simplify

    6x + 1 = 9

Write down the formula of calculating the average of the individual data

Answers

When calculating the average of individual data, you set of all observations of a given characteristic, usually in ascending order. The arithmetic mean for this series is calculated by summing the values of the observations and dividing the result by the number of observations.
Hope this helps, please give me brainliest
a1+an/2 is the formula for calculating the average

Phân tích đa thức thành nhân tử
10xy^2-5by^2+2ax^2-abx

Answers

Step-by-step explanation:

10xy^2-5by^2+2ax^2-abx =

5y²(2x -b) + ax(2x -b) =

(5y²+ax) (2x-b)

Answer:

10xy^2

Step-by-step explanation:

10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx

(10xy^2-5by^2)+(2ax^2-abx)

=5y² (2x -b) + ax (2x -b)  

=( 5 y ² + ax ()2 x--b

what is 3 feet + 14 inches

Answers

Answer:

3.14

Step-by-step explanation:

Please help meeeee!
I'm really in a rush rn!

Answers

Answer:

-3.392

Step-by-step explanation:

2.34

1.052

+_____

= 3.392

I need help on this question, geometry basics.

Answers

Step 1 : F

Step 2 : C

Step 3 : B

Step 4 : E

Step 5 : D

Step 6 : A

Solve for d. 2(d − 10) = 18 d =

Answers

Step-by-step explanation:

[tex]2(d - 10) = 18 \\ 2d - 20 = 18 \\ 2d = 38 \\ d = \frac{38}{2} \\ d = 19 \\ thank \: you[/tex]

X completes one round of a running track in 8 minutes and Y completes it in 6
minutes. How long will it take for both to arrive at their starting point together, if they
start at the same time and maintain their speed?

Answers

Answer: It will be 24 mins

Step-by-step explanation:

Answer:

24 minutes

Step-by-step explanation:

Have a good day

-Bradi

tìm x a)
4x^2-12x=-9

Answers

Hi

Just told you :  first know by heart remarkable identities !  

Then apply :  

4x²-12x = -9

4x²-12x +9 =0

(2x-3)² = 0

(2x-3) (2x-3)  = 0

Now you have a double solution :

2x-3 = 0

and 2x -3 = 0

I let you try !

Can someone please help me it's urgent!
Write a statement about each pair of lines in this construction. (3 statements)

Answers

I don’t know cause I’m a robot I don’t know g

Which interval notation represents the set of all numbers greater than -2 and less
than or equal to 3?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

(- 2, 3 ]

Step-by-step explanation:

parenthesis ( ) is used when the end value is not equal

brackets [ ] are used when the end value is equal

Here numbers are greater but not equal to - 2 and less than or equal to 3

(- 2, 3 ] ← is the appropriate interval notation

Please help ASAP!!!!!!!!!!

Answers

b^2-4ac=7 is the answer
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