Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. Part A: How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup? Part B: On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
Answers
Answer: There are 3 bowls of granola that Nick can make.
Step-by-step explanation:
Since we have given that
Part of syrup used by Nick = [tex]\dfrac{1}{2}[/tex]
Part of syrup used by Nick to make a bowl of granola = [tex]\dfrac{1}{6}[/tex]
So, Number of bowls would be
[tex]\dfrac{\dfrac{1}{2}}{\dfrac{1}{6}}\\\\=\dfrac{6}{2}\\\\=3[/tex]
Hence, there are 3 bowls of granola that Nick can make.
Related Questions
How do you simplify using the laws of exponents?
Can you show me an example pleaseee
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https://youtu.be/6ieqoMb0kWI
Watch this video hope this helps you.
Please help with this one
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Since I don't want to give the answers, (Some of them I don't understand myself), follow this process for all of the others. For number 2, convert the first exponent equation, and then the second, and multiply both. For number 3, do the same, and then find the average of the product.
Hope this helps, sorry I couldn't be of more help than this.
Find the value of x so that the figures have the same area.
25ft, x-6 ft
x ft, 15ft
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25-6=14
So ur answer is actually 3
The weight of an elephant is 1000 times the weight of a cat if the elephant weighs 14,000 pound how many pounds does the cat weight
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Work: 14,000/1000=14
Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller pieces to the all the pieces are the same length if you wants the pieces to be as long as possible and doesn't want to have any lumber left over how long should each piece me how many total pieces of lumber will he have
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what percentage is equal to 2/5?
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Because, 2/5 equals 4/10. 10x10=100, so 4x10=40, so 40%.
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Explanation:
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2/5 = x/ 100 ; Solve for "x" ;
Looking at the denominators:
5*(what value) = 100 ? ; 100÷ 5 = 20 ;
So "5*20 = 100" .
So; "2/5 = (2*20)/(5*20) = 40/100 = 40% .
→ Since: 40% = 40/100 = 4/10 = (4÷2)/(10÷2) = 2/5 .
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Alternate method:
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2/5 = 2÷5 = 0.4 .
0.4 = 4/10 = =(4*10)/(10*10) = 40/100 = 40% .
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Alternate method:
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Given: "2/5" ; We look at the denominator and notice it is "5" ; and we known that "5*2" = 10" ;
So, "2/5" = (2*2)/ (5*2) = 4/10 = (4*10)/(10*10) = 40/100 = 40% .
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Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Answers
SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5
Answer: D (x-5, y+8) → D'
The translation rule is
[tex]D(x,y)\rightarrow D'(x-5,y+8).[/tex]
EXPLANATION
Let [tex] \binom{x}{y} [/tex]
be the translation vector that maps [tex]D(7,-3)[/tex]
on to [tex]D'(2,5)[/tex].
Then we have the vector equation,
[tex] \binom{7}{ - 3} + \binom{x}{y} = \binom{2}{5} [/tex]
We now solve for
[tex] \binom{x}{y} [/tex]
[tex] \binom{x}{y} = \binom{2}{5} - \binom{7}{ - 3}[/tex]
This simplifies to,
[tex] \binom{x}{y} = \binom{2 - 7}{5 - - 3} [/tex]
[tex] \binom{x}{y} = \binom{2 - 7}{5 + 3} [/tex]
[tex] \binom{x}{y} = \binom{ - 5}{8} [/tex]
Therefore the translation rule is,
[tex]D(x,y)\rightarrow D'(x-5,y+8)[/tex]
sec theta = 11/4, cot theta < 0
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David is buying a new car for $21,349 he plans to make a down payment of 3000 if he's to make a monthly payments of $352 for the next five years what APR has he paid
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PV = (p/r) * (1-(1/(1+r)^n)
Where PV=present value, p=periodic payment amount, r=rate of interest, and n =number of payments
We want to find the monthly interest rate, so we set n=60 (12 months x 5 years), and PV = 18,349, which is the amount owed after the down payment
18349 = 352/r * (1-(1/1+r)^60) Multiply both sides by r/352
52.128r=1-(1/(1+r))^60
Solving from here is a doozy, so let's try substitution to find which equality gives us the correct value
Remember that 12r is actually our APR, since r in our function is just the monthly rate of interest, not the annual rate.
Let's try 5%. 0.05 ÷ 12 = .00416
52.128(.00416) ?=? 1-(1/(1+r))^60
.2172 ?=? 1- (1/1.00416)^60
.2172 ?=? .22048
.2172 does not equal .22048, although we're close! Although they are very similar numbers, they are about 1.5% apart, which is a pretty big difference for this problem. Let's try 5.9%, the next closest option, to see if we can get closer.
Let's try an APR of 5.9%, .059 ÷ 12 = .004916
52.128(.004916) ?=? 1- (1/1.004916)^60
.2562 ?=? 1-0.745
.2562 = .2549
Our values are equal within about one thousandth of eachother, for a difference of roughly 0.5%. Based on the other options, this is as close as we're going to get! Keep in mind that there is a lot of rounding that happens in these problems, so the values won't be exactly the same.
Answer is C) 5.9%
Jon has -8 dollars in his account then adds 12 dollars, how much does he have now?
What does zero represent in your story problem?
Answers
adds 12 dollars
-8 (+12) = 4
Jon now has 4 dollars in his account
i don't know how to explain the zero part well, but it is like the place where your bank have to be in order to not have debt
Simplify: -5/4 divided by 2 3/5
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a slab or ribs at the butcher costs $4.55 per pound how much will it cost if you buy 3.5 pounds of ribs round to the nearest penny
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An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
a. How much has the angelfish grown?
b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?
40 points!
Answers
The angelfish has grown by 5/6 inches, which is equivalent to 5/72 feet when converted.
The question asks how much an angelfish has grown both in inches and in feet.
Part A: Growth in Inches
The angelfish was originally 1 1/2 inches long and grew to 2 1/3 inches. To calculate the growth, subtract the original length from the current length:
2 1/3 inches (current length) - 1 1/2 inches (original length) = 7/3 inches - 3/2 inches
To subtract, convert to a common denominator (6 in this case): 7/3 becomes 14/6 and 3/2 becomes 9/6,
14/6 - 9/6 = 5/6 inches
So the angelfish has grown by 5/6 inches.
Part B: Growth in Feet
Since 1 inch is 1/12 of a foot, to calculate the growth in feet, multiply the growth in inches by the conversion factor:
5/6 inches * (1 foot/12 inches) = (5/6) * (1/12)
Multiplying these fractions, we get 5/72 feet, which is the growth in feet.
Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box
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Answer:
[tex]\frac{10}{3}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]5.\frac{2}{3}[/tex]
We have to multiply and find answer in improper fraction in simplified form
In order to find the answer we will multiply nominator by nominator denominator remain same.
[tex]5\cdot \frac{2}{3}=\frac{10}{3}[/tex]
It is improper fraction and simplified from .
Answer:[tex]\frac{10}{3}[/tex]
what integer divided by six, less eighteen, is negative twenty-two?
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Therefore, you can solve the equation by adding 18 to both sides: x/6 = -4
Now, multiply each side by 6: x = -24. Check your answer by substituting -24 into the original equation and you will get -24 = -24
What is the value of x?
Enter your answer in the box.
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so
4x - 30 = 3x - 5
4x - 3x = -5 + 30
x = 25
what is the multiplicative inverse of the the fraction 2/7
A. -7/2
B. 0
C. 1
D.7/2
Answers
Therefore,the multiplicative inverse of 2/7 is 7/2
Therefore the correct answer is D. 7/2
Answer:
D.}7/2
Step-by-step explanation:
I took the test on time4learning in 2022 and got it right hope I helped and more importantly I hope you passed byee!!
If y=3-x what is y if x =-4
Answers
y=3-(-4)
y=7
Hope this helps!!
The phone company charges 10 cents to connect a call for one minute, and 8 cents per minute after that. How long could you talk on the phone for $1?
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[HELP!] Your friend competes in a high jump competition at a track meet. The function h= -16t + 18t models the height h (in feet) of your friend after t seconds. After how many seconds is your friend at a height of 4? How many seconds will it take your friend to land on the ground? (Show work please! ^^)
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A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain ?
A. The domain were only include integers.
B. The domain will only include positive integers.
C. The domain would include all real numbers.
D. The domain would only include positive numbers.
Answers
Option: D is the correct answer.
D. The domain would only include positive numbers.
Step-by-step explanation:Domain of a function--
It is the set of all the x-values or the values of the independent values for which the function is defined.
Here the function is used to represent the miles per gallon your car gets.
i.e. the independent variable is the number of gallons the car gets.
and the dependent variables is the number of miles covered by the car.
As the number of gallons of the car can't be negative or zero , it could be any positive number.
Hence, the domain would include any positive number.
A theater has 28 rows of 38 seats downstairs and 24 rows of 26 seats upstairs. How many seats does he theater have?
Answers
multiply rows by seats for each section then add them
28*38 = 1064
24*26 = 624
1064 + 624 =1688 total seats
Jumlah panjang dan lebar suatu persegi panjang adalah 32cm. Sedangkan luasnya adalah 240cm. Tentukan (a) panjang dan lebarnya (b) kelilingnya dan (c) panjang diagonal persegi panjang
Answers
L = 240 cm
L = p x l
240 = 32-l x l
240 = 32l - l²
l²-32l+240 = 0
(l-12)(l-20) = 0
maka l = 12 atau l = 20
ambil saja lebarnya = 12 cm
maka p = 32-l = 32 - 12 = 20 cm
b. Keliling = 2(p+l) = 2 x 32 = 64 cm
c. Diagonal = √p²+l² = √20²+12² = √400+144 = √544 = √16x34 = 4√34 cm
P and L : 12 and 20 cm
Perimeter : 64 cm
Diagonal = 4√34
Further explanationThe playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:
• 1. each angle is equal and is a right angle
• 2. the diagonals intersect and divide each other equally
• 3. sides facing the same length
There are two rectangular shapes namely square and rectangle
Square if all sides are the same length
The formula used in rectangular is:
• 1.Area
Rectangle
[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{area=a^2}}}[/tex]
a = length of side
• 2. perimeter
Rectangle
[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]
a = length of side
P+L = 32 cm
Area = 240 cm²
Then
P = 32-L
Area = (32-L) x L
Area =32L-L²
240 = 32L-L²
-L²+32L-240=0
L²-32L+240 = 0
(L-12)(L-20)=0
L = 12 or L = 20
Then =P= 20 or 12
B)Perimeter= 2 x (P +L) = 2 x (12+20) = 64 cm
C) Diagonal
Phytagoras :
[tex]\rm diagonal=\sqrt{20^2+12^2}\\\\diagonal=\sqrt{400+144}\\\\diagonal=\sqrt{544}=4\sqrt{34}[/tex]
Learn moreThe ratio of the perimeters
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The coordinates of the vertices of a rectangle
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Solve the equation for w
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based on your schedule having a car will cut your transportation costs enough to squeeze in a 4-Hour shift each weekend at the fast food store paying $9 per hour your estimate that the car will cost you $100 per week to own and operate your take home pay will be 70% of your gross pay it is it worth it to get the car
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The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31,000,000 seconds.) Put it in scientific form.
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The total amount of energy produced by the sun in a year will be 11.78 × 10³⁴ joules.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The total amount of energy produced by the sun in a year can be calculated by multiplying the sun's energy production per second by the number of seconds in a year.
3.8 × 10²⁷ joules/second × 31,000,000 seconds/year
To express this in scientific notation, we can rewrite the number using powers of 10.
3.8 × 10²⁷ × 3.1 × 10⁷
11.78 × 10³⁴ joules
In this expression, the coefficient (11.78 ) is the number of units of energy produced, and the exponent (34) tells us the magnitude of the number. The exponent is based on the base of 10, so the number is 10 to the power of 34 or 1 followed by 34 zeros. This is a very large number and helps to give us a sense of the scale of energy production by the sun.
Learn more about the Scientific Notation here :
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Find a counterexample. If two lines are parallel, then they do not intersect. A. If two lines do not intersect, they could be skew. B. If two lines are parallel, they may intersect twice. C. If two lines are parallel, they intersect once. D. The statement is true. There is no counterexample.
Answers
Answer:
The answer would be D.
Step-by-step explanation:
The statement is true. There is no counterexample. Parallel lines never intersect because they are parallel to each other. So, it is impossible for parallel lines to intersect. Hope that answers your question.
A counterexample is an example that is against or opposite the theory. They disapprove of the generalization. In math's counterexample is used to slightly abuse and refers to the example which shows the need to fully hypothesize a theorem.
Such as all prime numbers are odd numbers as number 2 is a prime number but is an even number hence contradictory. As parallel lines are always at the same distance apart and never intersect.Hence the correct option is B. If two lines are parallel, they may intersect twice.
Learn more about the find a counterexample.
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You bought a large container of fruit punch. The label on the container says there are 128 fluid ounces of fruit punch in the container. How many cups is that?
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128 ÷ 8 = 16
16 cups is your answer
The length of a rectangle is 6 1/2 inches and the width is 3 3/4 inches. What is the ratio, using whole numbers, of the length to the width?
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The ratio, using whole numbers of the length to the width is [tex]\frac{26}{15}[/tex]
Given the following data:
Length of a rectangle = [tex]6\frac{1}{2}[/tex] inches.Width of a rectangle = [tex]3\frac{3}{4}[/tex] inches.To calculate the ratio, using whole numbers of the length to the width:
What is ratio?Ratio can be defined as a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another.
How to calculate the ratio.First of all, we would convert the mixed fraction to a proper fraction as follows:
For the length:
[tex]6\frac{1}{2}=\frac{13}{2}[/tex]
For the width:
[tex]3\frac{3}{4}=\frac{15}{4}[/tex]
Now, we can calculate the ratio, using whole numbers of the length to the width:
[tex]Ratio = \frac{length}{width} \\\\Ratio = \frac{\frac{13}{2} }{\frac{15}{4} } \\\\Ratio = \frac{13}{2} \times \frac{4}{15} \\\\Ratio =\frac{26}{15}[/tex]
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the 2 points are reflections of each other across the x-or y-axis identify the axis help me please
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8. X axis
9. X axis
10. Y axis
Josh spends 40 cents of every dollar on snacks,14 cents out of every dollar on school supplies and saves the rest. If Josh earns 32.00 per week, how much does he Dave per week
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Josh saves $14.72 per week from his $32.00 earnings after spending on snacks and school supplies.
The student is asking about how much Josh saves per week after spending on snacks and school supplies from his earnings. Josh spends 40 cents of every dollar on snacks and 14 cents of every dollar on school supplies, which totals 54 cents on expenditures out of every dollar he earns. To calculate his savings, we subtract this total expense from the dollar:
1 dollar - 0.54 dollars (expenses) = 0.46 dollars saved.
To find out how much Josh saves from his weekly earnings of $32.00, we multiply his savings rate per dollar by his total earnings:
$32.00 x 0.46 = $14.72 per week saved.