Answer:
123 pens in Box A
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000
Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.
First step is to calculate the interest on capital for each partner
Alexander=$90,000×5%=$4,500
Bertrand=$100,000×5%=$5,000
Coloma=$160,000×5%=$8,000
Second step is to calculate Coloma capital and drawing
Coloma capital =$160,000 + (5% x $160,000)
Coloma capital=$160,000+ $8,000
Coloma capital=$168,000
Coloma drawing=$168,000-$25,000
Coloma drawing=$143,000
Third step is to calculate Coloma share of profit
Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000
Share of profit=$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=4/10×$52,500
Coloma profit=4/(3+3+4)×$52,500
Coloma profit=$21,000
Fourth step is to calculate balance in Coloma’s capital account
Coloma’s capital account balance=$143,000+$21,000
Coloma’s capital account balance=$164,000
Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.
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At Arnold's Arcade, a child can buy 21 tokens for $6. At this rate, how many tokens would $20 get someone?
Based on the information given, the number of tokens that will be bought if a child has $20 will be 70.
Since a child can buy 21 tokens for $6, the cost of one token will be:
= $6 / 21 = $0.2857143
Therefore, if a child has $20, the number of tokens that will be gotten will be:
= $20 / $0.2857143
= 70
Therefore, 70 tokens will be bought.
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45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
Can you help me please I will mark the BRAINLIEST
Answer:
c.7203
d.26244
Step-by-step explanation:
please mark me as brainliest
Answer:
[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]
[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]
Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation
Answer:
2nd is correct
But u can also write by guessing. it is the best trick used by toppers.
simplify fully
2√3 x 3√8
Answer: 12√6
Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Therefore, the simplified form of the expression is 12√6.
Help! This assignment is due at 7:00 and this is the last question!
Solve for all values of b in simplest form (delta math)
|6-3b|=4
Answer:
b=2/3, b=10/3
Step-by-step explanation:
first equation
6-3b=4
6=4+3b
3b=2
b=2/3
second equation
6-3b=-4
10=3b
b=10/3
Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans
Answer:
I will say %39.56 for 7 pairs because you'll have 7 pair of jeans so you don't have to buy more if some of your jeans rips or something happens so yeah.
Answer:
$39.55 for 7 pairs of jeans
Step-by-step explanation:
The LCM of 7 and 4 is 28, so I decided to use that as an example.
4×7=28
22.48×8=179.84
So if you wanted 28 jeans, you'd be paying $179.84
- - - - -
Now the first deal.
7×4=28
39.55×4=158.2
For 28 jeans, you'd be paying $158.20
For 28 jeans, the first choice offers a better deal than the other.
Mind you, I know the word problem isnt about 28 jeans. But since 28 was the LCM of 4 and 7, I decided to use it as an example
b(n)=−8−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 8, minus, 2, left parenthesis, n, minus, 1, right parenthesis
Find the 9^\text{th}9
th
9, start superscript, start text, t, h, end text, end superscript term in the sequence
Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence
What is a sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.
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a function is given, 2^x + 3. find f(-2)
Answer:
2_3_4_4/547767()9897568. thank
Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest
Answer:
911,250
Step-by-step explanation:
4050 · 225 = 911,250
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
help me pls I'm so confused
Answer:
I feel like it's A
Step-by-step explanation:
The dot looks closer
Answer and Step-by-step explanation:
The first graph (option) is the correct answer.
The line create in this graph is called the "Line of Best Fit", in which the line has to be somewhere in the middle of all the points on the scatter plot graph. The line shows the relation of the points to each other.
The line is in more proportion to the points than with the other graph.
#teamseas #PAW (Plant And Water)
I hope this helps!
Solve the equation: q –10 = -10
Answer:
q=0
Step-by-step explanation:
-----------------------------
q - 10 = - 10
q = 0
<3
help extremely quick plsssssssssssssssssssssssssssssssssss
Select all the expressions that have a value of 180 when b = 4.
A. 87b - 179 + 957 ÷87
B. 33b/12
C. b² + 120
D. 51b - 24
E. 11b + 187 - 2,756 ÷ 13
Answer:
A and E
Step-by-step explanation:
Please help me answer it please no links or you will be reported
Answer:
what answer
Step-by-step explanation:
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how can you simplify 24 to 96
Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
Step-by-step explanation:
Here is an Explanation
Reduce 24/96 to lowest terms
The simplest form of
24
96
is
1
4
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 24 and 96 is 24
Divide both the numerator and denominator by the GCD
24 ÷ 24
96 ÷ 24
Reduced fraction:
1
4
Therefore, 24/96 simplified to lowest terms is 1/4.
Hello, is there anyone here a pharmacy technician?
Describe an example in which two variables are strongly correlated, but changes in one do not cause changes in the other.
Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.
work out the area of this quarter circle take p2b 3.14 to and read and other digits given by a calculator
Answer:
Step-by-step explanation:
area of a full circle is A = πr²
so a quarter of a circle area is A = πr²/4
A = 3.142(7²)/4
A = 38.4895 cm² picture answer
Using π = 3.14 results in
A = 3.14(7²)/4
A = 38.465 cm² written question answer
For comparison purposes,
Carrying the precision of π into many more significant digits results in
A = 38.484510006474...cm²
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
9514 1404 393
Answer:
4.5 lb
Step-by-step explanation:
The ingredients are proportional so ...
wheat/rice = 3/2 = ??/3 lb
Multiplying by 3 lb gives ...
?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb
The mixture contains 4.5 lb of wheat.
_____
Additional comment
Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)
a/b = c/d ⇔ b/a = d/c ⇔ a/c = b/d ⇔ c/a = d/b
if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.
Answer:yes
Step-by-step explanation:
Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%
Victor drives a distance of 21.45 miles everyday from home to his office. He moves into a new apartment that is just 3.65 miles away from his office. Determine the distance by which Victor has lessened his drive to the office.
Answer:
17.8 miles
Step-by-step explanation:
His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.
Since it asks for the distance he reduced to the office, we would do
21.45 - 3.65 = 17.8 miles
What is 78 1/3 as a decimal?
Pls help!
Answer:
78.333333333
Step-by-step explanation:
Please take a look at the picture
figure b is a scaled copy of figure a
Step-by-step explanation:
figure B is a scaled copy of figure B
by scale factor : 1/2
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,380 ft Determine the flag's width and length if the length is ft greater than the width.
Answer:
Length is 50ft, width is 160ft
Step-by-step explanation:
What is 55% of 20?!?!?!
Answer:
11
Step-by-step explanation:
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
use the method:
is/of and %/100
plug in 55 for the percent, and 20 for 'of'
should be: x/20 and 55/100
cross multiply to get 11.
1%of 20 is 0.2 0.2x5=1 5% of 20 is 1
10% of 20 is 2 2x5=10 50% of 20 is 10
1+10=11
That is just how i do it to make it easier for others, and sometimes for me.
PLEASE HELP! Economics
Answer:
C is the answer.
Step-by-step explanation:
the US capital account was in surplus and Japanese current account