Ali and Ben have a total of 36 CDs. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali. How many CDs did Ali have originally?

Answers

Answer 1

Answer:

I believe the answer is 20 cds

Step-by-step explanation:

got Ben to have twice her CDs he would have to have 24 while she had 12.

if Ali gave away 40 percent than 12 would be 60 percent.

from there I cross multiplied.

Ali And Ben Have A Total Of 36 CDs. After Ali Gives Ben 40% Of Her CDs, Ben Has Twice As Many As Ali.
Answer 2

If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.

Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."

According to the information given:

1. Ali and Ben have a total of 36 CDs: x + y = 36

2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:

Ali gives away 40% of x, which is 0.4x CDs.

After this, Ali has x - 0.4x = 0.6x CDs left.

Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.

According to the second statement, y + 0.4x = 2(0.6x).

Now, we have a system of two equations:

x + y = 36 ........(1)

y + 0.4x = 2(0.6x) ........(2)

First, let's simplify equation (2):

y + 0.4x = 2(0.6x)

y + 0.4x = 1.2x

Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):

y = 36 - x

Substitute y in equation (2):

36 - x + 0.4x = 1.2x

Combine like terms:

36 = 1.2x + x - 0.4x

36 = 1.6x

Now, solve for x:

x = 36 / 1.6

x = 22.5

Since the number of CDs cannot be a decimal, let's reevaluate the equations.

From equation (1):

x + y = 36

Substitute the value of x we found:

22.5 + y = 36

y = 36 - 22.5

y = 13.5

Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.

To know more about Ben:

https://brainly.com/question/29177365

#SPJ2


Related Questions

Similar triangle Scale factor 3:4 and x=16

Answers

Step-by-step explanation:

a factor is something you multiply with.

so,

16 × 3/4 = 12

so, the corresponding side to x in the similar triangle is 12 units long.

i need help it is due today

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Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

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Answer:

You Need the angle GEF in order to find DEF and DGE

Step-by-step explanation:

Triangle = 180 degrees

EFD = 60 degrees

180 degrees - (GEF + 60 degrees) = EGF

DEG = 60 degrees

180 - (DEG + GEF + EFD) = EDF

180 - EGF = EGD

DEG + EGD + EDG = 180 degrees

FEG + GFE + EGF = 180 degrees

Karly used 3.5cans of tomato sauce to make lasagna. Each can contains 10.5 ounces. How many ounces of tomato sauce is in the lasagna?

Answers

Answer:

31.75

Step-by-step explanation:

if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.

Which number sentence is true?
A. -4.25 > -2 4/5
B. 6/11 > 6.11
C. 7/8 > -0.78
D. 14/8 > 8.1

Answers

Answer: C. Is true 7/8>-0.78

Which statement about liters and milliliters is true?
2) There are 1,000 liters in a milliliter.
» There are 100 milliliters in a liter.
(1) There are 1,000 milliliters in a liter.
There are 100 liters in a milliliter.

Answers

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

All the other answers are wrong

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

D

Step-by-step explanation:

yeah-ya........ right?

Which number is greater explain your reasoning .375 or 3/8? help!

Answers

Hey there!

“Which one of is greater 0.375 or 3/8?”

3/8

= 3 ÷ 8

= 0.375

.375 = 0.375

0.375 = 0.375

So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

☆Answer :

⅜ = 0,375

3 ÷ 8 = 0,375

0,375 = 0,375

True.

help................................................

Answers

Answer:

C. 16ft by 4ft

Step-by-step explanation:

someone help again please !!

Answers

Answer:

a: 2n + 11 = 25

b: 7

Step-by-step explanation:

a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25

2n + 11 = 25

     - 11    - 11

2n = 14

2n/2 = 14/2

n = 7

Will give brainliest

Proof (7 points)

2. Given BC Il DE. Prove triangle ADE - Triangle ABC.

STATEMENTS

REASONS

Answers

well i got this answer by using my brain stinky

Answer this -
also can you answer faster kid?

Answers

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

AB = AC B = C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = B + C (Exterior angle = sum of int. opp. angles)

3x - 10 = 25 + x + 15

3x - 10 = 40 + x

3x - x = 40 + 10

2x = 50

x = 50/2

x = 25

∴ The value of 'x' in the given figure is 25!

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

Answers

Answer:

D

Step-by-step explanation:

Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)

Plzzzz help mee I forgot how to do it

Answers

Answer:

100011 is the base number.

Step-by-step explanation:

Best of luck friend

5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30

Answers

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.​

Answers

Answer:

lllllllllllllll

Step-by-step explanation:

its is 15 large tables

what do you guys think the answer is?

Answers

Answer: Check out the diagram below

Explanation:

Because point A is the center of dilation, it will stay fixed. It never moves. Everything else around it will move. Specifically, every point but A will move inward closer to A.

To get from A to B, we move 9 spaces. The scale factor 1/2 means we'll move half that amount and 9/2 = 4.5 spaces will be between A' and B'. Relabel A' as point E, and change the name of B' to F.

To go from A to D, we do the following steps

move to the right 9 spacesmove up 6 spaces

Cut each of those values in half to get 9/2 = 4.5 and 6/2 = 3. The results 4.5 and 3 are the horizontal and vertical distances we must travel when going from A' to D'. We'll relabel point D' as point H.

To go from D to C, we move 3 spaces. This cuts in half (again because of the scale factor) to get 3/2 = 1.5 spaces which is the distance from D' to C', aka from H to G.

Everything is marked in the diagram below.

Can you please help ASAP. It is very easy

Answers

Hello!

Let the number be x.

We multiply it by 5:

5x

Subtract 3:

5x-3

Hope it helps. Ask me if you have any query.

~An excited gal

[tex]MagicalNature[/tex] here to  help

YES! Great job! Explanation:

10, 18, 26, 34, 42, ...

What is the 15th term of this Arithmetic Sequence

Answers

Answer:

a₁₅ = 122

Step-by-step explanation:

Arithmetic sequence formula:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.

For your given sequence:

[tex]10, 18, 26,34,42,...[/tex]

a₁ is 10

n is 15 (15th term)

d is 8 (each term increases by 8 over the last)

Plug those 3 variables in, and solve for a₁₅:

[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]

slope = -5/2,y-int=2

Answers

Answer:

Step-by-step explanation:

The equation of this line is:

y = -5/2 x + 2.

I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4

Answers

Answer:

B) x = 2

Step-by-step explanation:

1 + 1 = x

2 = x

1 + 1 = 2

-3 and -5 what is less, greater than , and or equal

Answers

Answer:

-3 is less and -5 is greater

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

because -5 would be less than -3 because it is bigger

Find the equation of the horizontal line passing through the point (-1,0)

Answers

Answer:

y = 0

Step-by-step explanation:

When a question says find the horizontal line through certain points all you need to do is take the 2nd point which is 0 and make y equal to that. Doing that covers all x possibilities which means -1 is included and since you made y = 0 it passes through 0 as well.


y

1

x
If
y
=
4
when
x
=
49
find,
x
when
y
=
14

Answers

Answer:

x=4

Step-by-step explanation:

[tex]y \alpha \frac{1}{\sqrt{x} } \\or~y=\frac{k}{\sqrt{x} } \\when~x=49,y=4\\4=\frac{k}{\sqrt{49} } \\k=4 \times7=28\\y\alpha \frac{28}{\sqrt{x} } \\when ~y=14\\14=\frac{28}{\sqrt{x} } \\\sqrt{x} =\frac{28}{14} =2\\squaring\\x=2^2=4[/tex]

How would you slove ;
-2x+2y=3 & 2×-2y=2
in order to get y by itself ?​

Answers

Answer:

simultaneous linear equation

Step-by-step explanation:

you can use two methods:

substitution method

elimination method

Is that the right answer

Answers

Yes it is 45% = 45/100 = 9/20 = 0.45

4. Solve 6r + 7 = 2r - 9.

r= 4
r=-4
r = 0.5
r = -0.5

Answers

Answer:

r = -4

Step-by-step explanation:

[Given] 6r + 7 = 2r - 9

[Subtract 7 from both sides] 6r = 2r - 16

[Subtract 2x from both sides] 4r = -16

[Divide both sides by 4] r = -4

So our answer is the second option, -4.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Step-by-step explanation:

You answer is -4. I have solved it for you.

please help urgently need help
change the subject to x
s=x2−3​

Answers

Equation =》s = x² - 3

To change the subject to 'x' :-

[tex]\tt\:s = x ^ { 2 } - 3[/tex]

[tex]\tt\:x^{2}-3=s[/tex]

[tex]\tt\:x^{2}=s+3[/tex]

So,

[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]

[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

What is the cube root of 8x27?

Answers

Answer:

6

Step-by-step explanation:

this is so simple brother

Answer:

The cube root of 8x27 is 54

Step-by-step explanation:

Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of  (1×2)+(2×3)+(3×4)+(4×5)+(5×6)

PLEASE HURRY!

Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

11 days

Step-by-step explanation:

because Nicholas was given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Answer:

11 days

Step-by-step explanation:

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