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.
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.
What is the factorization of 400 using exponents
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases.Write an equation to find how many pounds is a DVD player for which the shipping charge is $11.94?
You know the measures of two interior angles of a triangle. How can you find the measure of the third interior angle?
PLEASE HELP!! Which expression is equivalent to the given expression? 6y−12
6y−12
A)6y−12y−126y−12y−12
B)3y+3y−12
C)6y+6y−126y+6y−12
D)12y−6−6
3y+3y−12 is the right option
Step-by-step explanation:According to addition rules of algebra, only those terms can be added whose powers are same. Same terms while adding and subtracting at the same time cancel each other. As we can see that the second option 3y + 3y will give us -6y and then -12 is with it so it results 6y - 12 and that is the required function.
graph the solutions all real numbers that are greater than -8 and less than 8
need help with #12 please
Round each decimal to the nearest one then subtract $3.85-$2.17
To round $6.375 to the nearest one, it becomes $6.38. To subtract $3.85-$2.17, the result is $1.68.
Explanation:To round decimal numbers to the nearest whole number, you will determine whether the decimal portion is closer to the previous or next whole number. If it is less than 0.5, you will round down, and if it is 0.5 or greater, you will round up. In this case, $6.375 is closer to $6.38, so you would round it up to $6.38.
To subtract decimals, you align the decimal points and subtract each place value from left to right. In this case, you would subtract $2.17 from $3.85:
$3.85
- $2.17
= $1.68
To round each decimal to the nearest one and then subtract $3.85 - $2.17, you start by rounding each number individually. $3.85 rounds to $4.00, and $2.17 rounds to $2.00. Once rounded, you then subtract the rounded numbers to find the total. So, it would be $4.00 - $2.00, which equals $2.00.
Paulo paid $12.25 For some pencils and pens. He bought 19 more pencils than pens. the pencils cost.25 cents each and the pens cost$1.25 each. How many pens and pencils did Paulo buy?
Sandra runs at a rate of 8 miles in 45 minutes how does her unit rate compared to terrance's in Jessie's
Sandra's unit rate is 0.178 miles per minute, which is lower than Terrance's rate of 0.2 miles per minute and higher than Jessie's rate of 0.133 miles per minute.
Explanation:To compare the unit rates of Sandra, Terrance, and Jessie, we need to determine how many miles they can run in one minute.
For Sandra, the unit rate is 8 miles in 45 minutes. To find the unit rate per minute, we divide 8 by 45, which is approximately 0.178 miles per minute.For Terrance, the unit rate is 6 miles in 30 minutes. Dividing 6 by 30 gives us a unit rate of 0.2 miles per minute.For Jessie, the unit rate is 2 miles in 15 minutes. Dividing 2 by 15 gives us a unit rate of 0.133 miles per minute.Comparing the unit rates, Terrance has the highest rate at 0.2 miles per minute, followed by Sandra at 0.178 miles per minute, and Jessie at 0.133 miles per minute.
Complete question:
Sandra Runs at a rate of 8 miles in 45 minutes. how does her unit rate compare to Terrance and Jessie (Terrance 6 miles per half an hour jesse 2 miles every 15 minutes).
(1/8)⁴ as a fraction
In the following problem, how many people are in business together? Enter your answer as a number.
Maurice and three of his friends have a lemonade stand. They want to make enough money so that, after splitting the earnings evenly, each person earns $12.
Answer:
Will Give Brainliest
Final answer:
Maurice and his three friends are in business together, making a total of 4 people involved in the lemonade stand business.
Explanation:
The question asks about the number of people who are in business together at a lemonade stand. To find the answer, you consider Maurice and his three friends who are part of the business.
Therefore, the total number of people in business together is:
Maurice + three friends
So the total number of people in the business is:
1 (Maurice) + 3 (friends) = 4 people.
PLEASE ANSWER! Giving away 15 points if someone answers!!!
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply. A. One pound of pistachios plus 1 pound of almonds cost $20. B. The pistachios cost twice as much per pound as the almonds. C. Reducing the number of pounds of almonds by one results in a total cost of $40. D. The cost a, in dollars, of 1 pound of almonds is modeled by 2(a – 4) + 3a = 48. E. The cost p, in dollars, of 1 pound of pistachios is modeled by 2p + 3(p – 4) = 48.
Answer:
Option A and C.
Step-by-step explanation:
Venetta buys 2 pounds of pistachios and 3 pounds of almonds for $48.
The cost of pistachios $4 more per pound than the almonds.
Let the cost of almonds be a
Therefore, cost of pistachios p = 4 + a ------(1)
Venetta bought 2 pound of pistachios and 3 pounds of almonds for $48, so the equation will be
2p + 3a = 48 -----------(2) [we will substitute equation 1]
2(4+a) + 3a = 48 --------------(3)
(2 × 4) + (2 × a) + 3a = 48
2a + 3a + 8 = 48
5a + 8 = 48
5a = 48 - 8
5a = 40
a = 40/5
a = 8
hence the cost of almonds are $8 per pound.
the cost of pistachios is 4 + 8 = $12 per pound.
Option A and C is the correct answer.
Suppose a seventh grader birthday is today,and she is 12 years old.how old was she 3 1/2 years ago?draw a number line
The radius of a circle is 9. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter? A) C /9 = π B) C /18 = π C) C = 9π/r D) C = r /18π
Answer:
The answer is C.
Step-by-step explanation:
option B
diameter = 2 × radius = 2 × 9 = 18
circumference = pi × 18 = 18pi
18pi/18
on simplifying this, we get pi.
how to do a=b+c plz explain there all variables and your solving for c
Cole had 3/4 of an hour of free time before dinner he spent 2/3 of that time playing the guitar how long did he play the guitar
What does CPCTC mean in Geometry AND when it is used?
Answer:
Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
With SSS, SAS, ASA, and AAS, you know how to use three congruent parts of two triangles to show that the triangles are congruent. Once you know that two triangles are congruent, you can make conclusions about their other corresponding parts because, by definition, corresponding parts of congruent triangles are congruent.
CPCTC is an acronym for corresponding parts of congruent triangles are congruent.
The usage
CPCTC is often used to determine the similarities and congruence of two or more triangles.
Take for instance, the SSS congruence theorem means that the triangles are similar or congruent by Side-Side-Side.
Using CPCTC, it helps to know when the corresponding sides and/or the corresponding angles of the triangles that are being com pared are congruent.
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The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t.
Which statement is correct?
A.
The cost of the car depreciates every year by $3,000.
B.
The cost of the car depreciates every year by $20,000.
C.
The cost of the car increases every year by $3,000.
D.
The cost of the car increases every year by $20,000.
The correct statement is that the cost of the car depreciates every year by $3,000. This is determined by analyzing the provided depreciation formula, $20,000 - $3,000t, where t is the number of years after purchase.
Explanation:The cost of a car, in dollars, t years after its purchase is described by the equation $20,000 - $3,000t. This equation indicates that the value of the car is decreasing by a fixed amount each year. Taking a closer look at the formula given, we can see that the t variable, which represents time in years, is multiplied by $3,000. This $3,000 is then subtracted from the initial value of the car, $20,000. Therefore, each year, the value of the car decreases by this amount of $3,000.
Given the options:
A. The cost of the car depreciates every year by $3,000.B. The cost of the car depreciates every year by $20,000.C. The cost of the car increases every year by $3,000.D. The cost of the car increases every year by $20,000.The correct answer is:
A. The cost of the car depreciates every year by $3,000.
The correct statement is A. The cost of the car depreciates every year by $3,000, which can be deduced from the depreciation equation of the car's value over time.
Explanation:The cost of a car, in dollars, t years after its purchase is given by the equation $20,000 - $3,000t. This equation represents a linear function where the initial value of the car is $20,000 and it decreases by $3,000 for each year t that passes. Therefore, the correct statement is:
A. The cost of the car depreciates every year by $3,000.
Each year that passes, the term $3,000t increases by $3,000 since t increments by 1, thus reducing the overall value of the car by another $3,000.
If a 40-m rope is cut into two pieces in the ratio 3:5 how long is each piece
Final answer:
The 40-m rope cut in a 3:5 ratio gives a 15 m piece and a 25 m piece. Doubling the rope length to 80 m with the same ratio yields a 30 m piece and a 50 m piece.
Explanation:
To find the length of each piece of a 40-m rope cut in the ratio 3:5, we need to work out the parts of the rope that each ratio value represents. First, we add the parts of the ratio together: 3 + 5 = 8 parts in total. Then, we find the length of each part by dividing the total length of the rope by the total number of parts: 40 m ÷ 8 = 5 m per part. Furthermore, to find the length of the smaller piece, we multiply the size of one part by 3, and for the longer piece, we multiply by 5.
Length of smaller piece = 3 parts × 5 m/part = 15 mLength of larger piece = 5 parts × 5 m/part = 25 mTo which place value is the number rounded? 8.293 to 8.29?
“I am thinking of a number such that 6 less than the product of 7 and this number is 85.” Which number is she thinking of?
A. 11
B. 13
C. 84
D. 637
100!!!!!!! POINTS PLEZ SHOW WORK
let x = the number
7x - 6 =85
add 6 to each side
7x =91
divide each side by 7
x = 91 /7 = 13
Answer is B 13
Answer:
I agree with Music lover
Step-by-step explanation:
PLEASE HELP I CANNOT DO THIS!!
40 POINTS (IM OUT OF POINTS D:)
Use parentheses to make the statement true: 8 x 4 - 2 x 3 + 8 divided by 2 = 25
(Order of operations)
Arjun ran 19 miles less than Brenda last week .Arjun ran 14 miles . How many miles did Brenda run
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
1.)The system of equations is graphed on the coordinate plane.
y=x−1y
−2x− 4
Enter the coordinates of the solution to the system of equations in the boxes.
(__,__)
Answer:
Step-by-step explanation:
The correct answer is: (-1, -2)
this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the we can see that the point of intersection is at (-1, 2) Answer: x = -1, y = 2 ∀∈
a sofa is on sale for $259, which is 26% less than the regular price. what is the regular price?
Regular price of sofa is $ 350.
What is Selling price?Selling price is defined as the price that a customer pays to purchase a product.
Selling price of Sofa is $259
Let the regular price is x
So, sale price is 26% lower than regular price =
x * (100 - 26)/100 = 0.74x
So, 0.74x = 259
Or, x = 259/0.74 = $ 350
Hence, regular price of sofa is $ 350.
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What is 33/40 as a decimal? Please explain how you got it.
Two workers can make two chairs in two days. How many chairs can 8 workers working at the same rate make in 20 days?
Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Two workers can make two chairs in two days.
Hence:
one worker make one chair in two days, hence:
8 workers would make 8 chairs in 2 days. In 20 days, number of chairs made = 8 * (20/2) = 80 chairs
Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.
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subtract.
−5 1/3−2 1/3
Enter your answer in the box as a simplified mixed number.
Answer:
−7 2/3
Step-by-step explanation:
You need to simplify both of the fractions before doing the math.
Step 1
Simplify!
-16/3 - 7/3
Step 2
Very lucky you! The denominators are the same! No making edits to fractions. Just subtract.
-16/3 - 7/3 = -23/3
BUT ITS NOT THE ANSWERYou need to turn it into a mixed number.
Step 3
Divide -23 by 3. INCLUDE REMAINDERS!
-7 r2
Step 4
Place the 2 in the numerator, and the -7 is the number! Nothing happens to 3.
-7 2/3
Thus, −5 1/3−2 1/3 = -7 2/3.
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ (−5 1/3) − (2 1/3)
Simplify the expression, then we have
⇒ (−5 1/3) − (2 1/3)
⇒ −16/3 − 7/3
⇒ −23/3
⇒ −7 2/3
The value of the expression (−5 1/3) − (2 1/3) will be −7 2/3.
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the recommended heart rate for weight management exercise and improving cardio fitness, i beats per minute, depends on a person's age and can be represented by the expression 0.7(220-a)