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:
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.
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:
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Related Questions
PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £
Answers
Answer:
£225
Step-by-step explanation:
The relationship between the cost price (cp) and the selling price (sp) is ...
cp + 5% × cp = sp
cp(1.05) = sp . . . . . . collect terms
cp = sp/1.05 . . . . . . divide by 1.05
cp = £236.25/1.05 = £225
The original wholesale price was £225.
the sum of -15/32 and 7/31 is which of the following answers: 1/4, -11/16, -1/8, -1/4
Answers
Answer:
-11/16
Step-by-step explanation:
1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 32: 31,64,96,... 928, 960 ,992,...
Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 992
Method 2: By Prime Factors
1. List the prime factors of each number.
Prime Factors of 32: 2,2,2,2,2
Prime Factors of 31: 31
2. Find the union of these primes.
2,2,2,2,2,31
3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.
LCM = 992
2) Make the denominators the same as the LCD.
[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]
3) Simplify. Denominators are now the same.
[tex]-\frac{465}{992} +\frac{224}{992}[/tex]
4) Join the denominators.
[tex]\frac{-465+224}{992}[/tex]
5) Simplify
[tex]-\frac{241}{992}[/tex]
Decimal Form: -0.242944
pls help me with this question
Answers
n = - 8/3
Decimal Form:
n = - 2.6
Mixed Number Form:
n = - 2 2/3
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17 18
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6
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7
8
9
10
11 12 13 14 15 16
Huda made 60 bracelets and sold
of them. Sammie made 45 bracelets and sold 2 of them. Which comparison is true
5
true?
The fractions cannot be compared, because they do not have the same wholes
Huda sold more bracelets, because
OIN
8 5
TA
O
2 2
Sammie sold more bracelets, because
58
Both sold the same number of bracelets, because
TURN ITIN
ASK FOR HELP
NEXT QUESTION
АО
Answers
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answers
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
(2/3)³×(-3/4)²×(-1)²⁰⁰³
(2/5)²×(-5/12)³
Answers
Answer:
Step-by-step explanation:
[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]
[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]
Slope of parallel and perpendicular lines
Answers
Answer:
-1
Step-by-step explanation:
They already did the opposite reciprocal for you.
They have it in the form now.
To find b you just enter (x,y)=(8,1).
Let's do that.
Subtract 2 on both sides:
b=-1
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
Answers
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?
Answers
Answer:
20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
9 negative exponent 8
Answers
Answer:
See below:
Step-by-step explanation:
So we want to know what 9 to the -8th exponent will be if I understand your question right.
To solve for [tex]9^{-8}[/tex] we first have to solve for [tex]9^{8}[/tex] which would be 43046721.
Now, if we have a negative number, the answer would be 1 divided by that number, so therefore, we get [tex]9^{-8} =\frac{1}{43046721}[/tex]
Cheers!
I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help
Answers
Answer:
1.A
2.D
3.B
4.C
5.D
6.A
7.C
8.C
9.D
Step-by-step explanation:
A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?
Answers
Answer:
$47.50
Step-by-step explanation:
75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50
help me please!!!??
Answers
Answer:
1/6
0.95833333333
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/6 (1/4) + 17/24 = 1/24 + 17/24
=3/4
Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile
Answers
Answer:
117 units
Step-by-step explanation:
The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00
Answers
Answer:
[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]
solve for x
Step-by-step explanation:
55,000,00=-5x²+1000x+5000
collect like terms
5x²-1000x= -55,000,00+5000
5x²-1000x = -45000
x²=-45000/5=-9000
x²=square root of 9000=3000
recall
5x²-1000x=3000
-1000x=3000
divide both side by coefficient of x
x= -3
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answers
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
when you multiply 8x3 it equals 24
A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.
Answers
Answer:
1 stamp = $0.51
Step-by-step explanation:
20 stamps = $10.20
=> 1 stamp = 10.20/20
=> 1 stamp = $0.51
Hoped this helped.
help me please
A
B
C
D
E
F
Answers
Answer:
F because you cannot prove that any of the angles are the same with only one set of parallel lines
Need help with this.
Answers
Answer:
A. The reciprocal of 9/10 is 10/9
B.2/3
Step-by-step explanation:
A. A reciprocal is the inverse of a number
B. 3/5*10/9=
30/45 or 2/3
[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]
Answers
Answer:
if a joke i dont know
PLEASE HELPPPP !! Which points have positive y coordinates?
A) A and F
B) A and B
C) F and H
D) B and F
Answers
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answers
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
HELP ME please please please
Answers
Answer:
d.
took the test
Step-by-step explanation:
a(-3)=5 What will a equal
Answers
Answer:
a = - 5/3
Step-by-step explanation:
rearranging formulae y=4x+3
Answers
Step-by-step explanation:
y = 4x + 3
subtract 3 on both sides of equation
y - 3 = 4x + 3 - 3
y - 3 = 4x
divide the equation by 4 on both sides
\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x
x = \frac{y - 3}{4}4y−3
DONE.
If x = 9 , evaluate the following expression: x + 6
Answers
Answer:
15 very simple
Step-by-step explanation:
im always right
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
Answers
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
Learn more : https://brainly.com/question/18796573
1/2 (x + 8) - 15 = - 3
Answers
Answer:
x=16
Step-by-step explanation:
Heres the work below
Hope this Helps
you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?
Answers
Answer:
5/10 or 1/2 is the answer I think
Is 8 a unique solution to the equation 3(x-6) =
3x/4
Answers
Answer:
yes
Step-by-step explanation:
3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
12(x - 6) = 3x , distribute left side
12x - 72 = 3x ( subtract 3x from both sides )
9x - 72 = 0 ( add 72 to both sides )
9x = 72 ( divide both sides by 9 )
x = 8
x = 8 is the only solution and is therefore unique
Answer:
8
Step-by-step explanation: