1/6 of a birthday cake is left over from a party. The next day, it is shared among 7 people. How big A piece of the original cake did each person get?
Answers
Answer:
j
Step-by-step explanation:
Explanation:
Draw 6 identical rectangles side by side as shown in figure 1 in the diagram below. Shade one of the rectangles to represent 1/6 of the cake left over.
Now draw in horizontal lines (see figure 2) to split the leftover amount into 7 equal portions. Notice that we have a 7 by 6 grid of tiny rectangles. There are 7*6 = 42 tiny rectangles in total.
Each person will therefore get 1/42 of the original cake when splitting up this last leftover slice.
Related Questions
Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay
Answers
Hey there!
Answer:
336.84%
3200 out of 950 is 336.84%
Solution:
3200 out of 950 is what %?
3200 out of 950 is P%
Equation: Y/X = P%
Solving our equation for P
P% = Y/X
P% = 3200/950
p = 3.3684
Convert decimal to percent:
P% = 3.3684 * 100 = 336.84%
well, if we take 3200 to be the 100%, what is 950 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875[/tex]
A 1000 kg car moving at 3 ms runs into a 10 kg shopping cart at rest. The shopping cart gets wedged under the car and they stick together. What is their new velocity after the collision?
Answers
Their new velocity after the collision is 2.97m/s
Collision of an objectAccording to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.
The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity
According to the law
m1u1 + m2u2 = (m1 + m2)v
v is the new velocity after the collision
Substitute the given values
1000(3) + 10(0) = (1000+10)v
3000 = 1010v
v = 3000/1010
v = 2.97m/s
Hence their new velocity after the collision is 2.97m/s
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Find x.
A) 32
B) 8
C) 16
D) 24
Answers
Answer: D
Step-by-step explanation:
Don recently received his first credit card, a MasterCard with a credit line of $500. In the first month he had it, he ran up charges of $425. How much of that must he pay if he wants to charge a discount airline ticket, which costs $200, on his card without going over his credit limit
Answers
The amount Don must pay on his card without going over the credit limit is $125.
How much must Don pay?
Don's credit limit is $500. If Don does not want to go over the limit, he must not exceed the $500 limit. In order to determine the amount he should pay, add the sum of the charges and subtract it from the credit limit.
Amount to be paid = (425 + 200) - 500 = $125
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Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answers
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
Which of the following best explains why one graph appears skewed and one graph appears symmetric? the intervals on the x-axis of the histogram are too large. the interval on the y-axis of the histogram is too small. the interval on the x-axis of the histogram is inconsistent. the interval on the box-and-whisker plot is too small.
Answers
The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.
In the problem, the data given as,
In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.The frequency distribution in histogram for this data is inconsistent.This inconsistency brought the between the two graphs.Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
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pls help. it’s due tomorrow.
Answers
Answer:
the rest aren't wholly visible;like the signs under the letters
Step-by-step explanation:
11, 15, 19, 23, 27intervals of +4
18, 13, 8, 3, -2intervals of -5
Keiko drove 225 miles using 10 gallons of gas. At this rate, how many gallons of gas would she need to drive 441 miles?
Answers
Answer:
19.6 gallons
Step-by-step explanation:
divide 225 by 10 and you get 22.5 this means you are getting 22.5 miles per gallon so all you have to do is divide 441 by 22.5 and you get 19.6 so you are going to need 19.6 gallons to drive 441 miles
a
April has a sheet of paper that is 3 feet long. She cuts the length of paper into halves and then cuts the
1
length of each of these pieces into sixths.
2
How many pieces does she have?
How many inches long is each piece?
April has
pieces.
Each piece is
inches long.
Answers
Answer:
6x3=18 pieces
6/18 = 1/3
=
18 pieces
72 inches
hey, could you help me real quick?
Answers
solution:
[tex]\frac{299}{6}=49\frac{5}{6}[/tex]
decimal result:
[tex]49.833[/tex]
1. Simplify the expression
[tex]26/3*23/4[/tex]
Multiply the fractions:
[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]
Cancel terms:
[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{6}[/tex]
Simplify the fraction:
[tex]\frac{299}{6} =49\frac{5}{6}[/tex]
[tex]==========================================[/tex]
First, let's convert the mixed numbers into improper fractions:-
[tex]\bf{8\displaystyle\frac{2}{3}[/tex]
Step 1:-Multiply the whole number (8) times the denominator (3). The product is 24.Add the numerator (2). The sum is 26.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{26}{3}[/tex]
Now, do the same for the second fraction:-
Multiply 5 times 4. The product is 20Add 3. The sum is 23.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{23}{4}[/tex]
Now, the formula for the area is
[tex]\bold{A=bh}[/tex]
We know both b and h, so we can just plug in the values and solve:
[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]
Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)
[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]
Multiplying 13 times 23 is easier than multiplying 26 times 13.
Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.
Multiply:
[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]
The answer is
[tex]\bold{\displaystyle\frac{299}{6}}[/tex]
Convert to a Mixed Number:-
[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]
[tex]==================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~Is~Power!}[/tex]Good luck & enjoy your day!Answered by:-Nickname:- [tex]\mathbb{DiAmOnD}[/tex]
[tex]\boxed{An~emotional~helper}[/tex]
Help me on this question please!
Answers
Answer:
16
Step-by-step explanation:
You're doing a subtraction problem between (x+5) and (2x+3)
(x+5) - (2x+3) =
**You need to solve for x first then plug it in to find the answer.***
(I had to break the parentheses because that is the only way to solve)
-x +8
x= -8
-8 + 5 - (-16+3)
-3 + 16 + 3
13 + 3 = 16
Answer:
-x+2
Step-by-step explanation:
(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2
Create an algebraic expression that always results in 6 more than a multiple of 5 if the variable is an integer. no links
Answers
[tex]===========================================[/tex]
Let's create an expression that always results in 6 more than a multiple of 5.
First, let the unknown number be x.
Then, we should multiply it times 5 and add 6 (6 more means we add 6)
So the expression is
5x+6
Will this work? We can easily check by plugging in some numbers:
5(2)+6
10+6
10 is a multiple of 5
16 ✓
Try another number:
5(3)+6
15+6
21 ✓
Try a negative number:
5(-3)+6
-15+6
-9 ✓
Try zero:
5(0)+6
0+6
6 ✓
[tex]============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]
An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
The given statement is "6 more than a multiple of 5 if the variable is an integer".
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
A multiple of 5 is 5x
6 more than a multiple of 5 if the variable is an integer
= 5x+6
Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
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A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,
a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease
Answers
Answer:
C. Narrower and the margin of error would decrease
The required, option b (wider and the margin of error would increase) is the correct answer.
What is the margin of error?In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.
Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.
This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.
Therefore, option b (wider and the margin of error would increase) is the correct answer.
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I have to finish this before next week because of grades please thanks
Answers
Answer:
D
Step-by-step explanation:
What is 60% markup on $18.25?
Compute the total cost of an item you purchased for $18.25, but you now want to resell it for 60% more than what you've paid for it. What is the new cost?
Answers
Answer:29.2
Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.
Answer:
$29.20
Step-by-step explanation:
The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.
160% = 160/100 = 1.6
⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20
) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them
chose to read books. What is the experimental probability that a randomly selected
preschooler would choose to read books today?
Answers
Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, in the previous trial, one out of eight students read a book, hence:
p = 1/8 = 0.125 = 12.5%.
There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.
More can be learned about probabilities at https://brainly.com/question/14398287
What is the answer to this?
Answers
Volume Formula: length x width x height
---Let's first write down what we're given.
Volume = 80
Length = 4
Width = 4
Height = ?
---Now, plug what we know into the formula for volume and solve for the missing variable.
80 = 4 x 4 x h
80 = 16 x h
h = 5
g = 5 centimeters
Hope this helps!
You pick a card at random. 3 4 5 6 What is P(less than 5
Answers
Answer:
1/2 of a chance.
Step-by-step explanation:
There are 2 numbers out of 4, which is 2/4 or 1/2
Use complete sentences to describe the use of an indirect proof.
Answers
Answer:
In an indirect proof, instead of showing that the conclusion to be proved is true, you show that all of the alternatives are false.
The indirect proof serves as a powerful tool in mathematical reasoning, allowing mathematicians to establish the truth of statements by strategically exploiting logical inconsistencies within assumed false premises.
An indirect proof is a method in math where you assume the opposite of what you want to prove, then show that this assumption leads to a contradiction or inconsistency.
This means that the opposite assumption must be false, making the original statement true.
It's a way to prove something by showing that its opposite can't be true.
Hence, Indirect proof assumes opposite, leads to contradiction, proving original statement true. Used when direct proof is challenging or problem suits contradiction.
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The total assets of a company in millions of dollars can be modeled by the function f (a)
represents the number of years that have passed since the company was founded.
-0.502 + 8x + 3, where &
Answers
Find 3 irrational numbers between 1/3 and 3/8
Answers
Answer:
4/24,,,5/24,,7/24
hope it helps u
What is the area of a circle with a diameter of 12 inches?
Answers
Step-by-step explanation:
[tex]radius = \frac{12}{2} \\ = 6 \\ area \: of \: circle =\pi \: {r }^{2} \\ = \pi \times {6}^{2} \\ \pi \times 36 \\ = 113.14[/tex]
anss....wer....
Answer:
can be solved in two ways here you go
one is by either by finding r and using the formula
Area = πr²
Or by directly using the formula
Area = 1/4 πd²
find the value of x in each of the following
a) x/3 - 2 =6
b) x/5 + 1 =5
Answers
Answer:
the answer to question a is 24
the answer to question b is 8
b—x=20
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Combine like terms:
-4k+15k-30=-78
(must be a decimal)
Answers
Answer:
I don't know sorry, I wish I could help you
Let's combine like terms:-
[tex]\bigstar{\sf{-4k+15k-30=-78}[/tex]
Add the k's:-
[tex]\bigstar{\sf{11k-30=-78}[/tex]
Add 30 to both sides:-
[tex]\bigstar{\sf{11k=-78+30}[/tex]
[tex]\bigstar{\sf{11k=-48}[/tex]
Divide both sides by 11:-
[tex]\bigstar{\boxed{\sf{k=4.36}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
What is the sum of the two amounts of money shown?
Enter your answer in the box.
$
Answers
first amount:
$10 + $5 + 25 cents + 25 cents + 25 cents + 5 cents + 5 cents $10 + $5 + $0.25 + $0.25 + $0.25 + $0.05 + $0.05$15.85second amount:
$5 + 25 cents + 25 cents + 1 cents + 1 cents + 1 cents + 1 cents$5 + $0.25 + $0.25 + $0.01 + $0.01 + $0.01 + $0.01$5.54total amount:
$5.54 + $15.85 $21.39Hey there!
Guide:
• Penny = 0.01¢ (1 cent)
• Nickel = 0.05¢ (5 cents)
• Dime = 0.10¢ (10 cents)
• Quarter = 0.25¢ (25 cents)
• Half dollar = 0.50¢ (50 cents)
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
EQUATION #1.
$10.00 + $5.00
= $15.00
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.25¢ + 0.25¢ + 0.25¢ + 0.05¢ + 0.05¢
= 0.75¢ + 0.10¢
= 0.85¢
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
$15.00 + 0.85¢
= $15.85
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Total/Answer: $15.85
______________________________
EQUATION #2.
$5.00 + 0.00
= $5.00
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.25¢ + 0.25¢ + 0.01¢ + 0.01¢ + 0.01¢ + 0.01¢
= 0.50¢ + 0.04¢
= 0.54¢
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
$5.00 + 0.54¢
= $5.54
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Total/Answer: $5.54
______________________________
NOW ADD THEM TOGETHER!
$15.85 + $5.54
= $21.39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help!! This is i-ready!!! Will get brainiest!!!
Answers
Answer:
C is the answer
Step-by-step explanation:
people who usually volunteers really don't get represented
Model this equation using a visual model.
4x + 8.46 = 2x + 15.62
Answers
Soln:-
Or,4x-2x=15.62-8.46
Or,2x=7.16
Or,x=7.16/2
Or,x=3.58
What is the value of x?
Answers
Answer:
x = 88 -5y/2
Step-by-step explanation:
(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x
x = 180 - x - 4 -5y
x = 176 - x -5y
2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)
NEED ASAP!!!!!
The graph shows a school's profit for selling lunches
on pizza day. What is the cost for selling 100
lunches? You must show your work.
Answers
Answer:
The cost for selling 100 lunches is 150 dollars.
Step-by-step explanation:
First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.
How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)
the formula for finding the slope is:
[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]
where (x1, y1) is coordinates of first point in the line
where (x2, y2) is coordinates of second point in the line
[tex]\frac{45-(-90)}{65-20} = 3[/tex]
m = 3
y = 3x + b
now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)
0 = 3(50) + b
find b using algebra:
0 = 150 + b
b = -150
Yay! we found b, now we have the equation y = 3x - 150
(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)
now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.
y = 3(100) - 150 = 150
therefore the cost is 150 dollars.
hope this helps, tell me if you misunderstood something.
Walmart has baby diapers for $5.99, car tires for $79.99 and cheerio’s $3.99. what’s the total cost?
Answers
Answer:
89.97
Step-by-step explanation:
5.99+79.99 = 85.98 + 3.99 = 89.97