A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)

Answers

Answer 1
Final answer:

A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.

Explanation:

The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.

To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.

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Related Questions

More math help please!

Answers

The second one is a function
imma go with the answer choice C.) because it has no repeats

Which names are other ways to name ∠2? Select each correct answer. ∠H ∠G ∠KGH ∠HKG ∠K ∠GHK ∠HGK angle 2 with vertex h. one ray has point G on it. The other ray has point k on it.

Answers

The problem describes an angle like the one in the picture attached.

The vertex point is H, and G and K are 2 points on the 2 rays.


The way we name such angles, is by using the 3 letters, always letting the vertex point H in the middle. The order of the 2 other letters is not important.

Another way to name the angle is by using only the letter of the vertex point.

So

We can name the angle ∠GHK, ∠KHG or ∠H.

Answer: ∠GHK, ∠KHG or ∠H.

Answer:

Angle GHK and Angle H

Step-by-step explanation:

None of the others are correct I took the test

Solve for x.
-4x = -6 + 2x

Answers

-4x = -6 + 2x

-4x - 2x = -6

-6x/-6 = -6/-6

x = 1

hope this helps
This problem is as easy as pie! 
All you have to do is isolate the x. And to isolate, we have to perform the opposite action. [multiplication=division, addition=subtraction]
-4x=-6+2x
-2x       -2x
_________________

(-6x=-6)/-6

_________________

x=1

Alan and Margot drive from City A to City B a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at city B at 4:15 p.m. . Margot's trip from City A to City B can be described with the equation y=64x, where y is the distance traveled an dx is the time in minutes spent traveling. Who gets from City A to City B faster?

Answers

If one of them got there faster, who will it be?? 147 Miles keep that in mind ok. If they go on the Same route and Drive at Constant Speed. And Alan will start at 1:45 to 4:15. You will see the Difference of, 1:45 = 4:15 The 1 Has switched into the tens and the 4 Has Switched into The 100's. Alan Got there Fast. Margot Got there Faster. If you can Solve The Equation y=64x It will be 36y. 36 Miles speed. Well they need gas? we will find out later. Margot Got to City a To City B. so the Answer is. Margot Got there Fast Before Alan.

WILL GIVE BRAINLIEST Which expression is equivalent to −10+(−40)+(−90) ?

A. −10 − (40−90)

B. −10 + (−90)+(−40)

C. −(10−40) + (−90)

D. 10 + 40 + 90

Answers

B, because addition is commutative.
The most reasonable answer would be B because options A C D would lead to you receiving a positive outcome 

What is 15.839 rounded to the nearest tenth

Answers

The answer is 15.8 Hope it helps

15.815.8 is the answer.

Line segment EF has a length of 5 units. it is translated 5 units to the right on a coordinate plane to obtain line segment E'F. What is the length of E'F? A. 5 units B.6 units C.10 units D.25 units

Answers

In Geometry, a translation is a function where an object is moved a certain distance. This means that the location of the line is changed, but it is not changed in any other way. This means, that if the line was originally 5 units, it will still be 5 units long.

Answer:

Step-by-step explanation:

Its 5 units

26.891 to the nearest ten thousands place

Answers

the number isn't large enough to round to the nearest ten thousandths.

 that would be the 4th digit to the right of the decimal point, so we would need the 4th and 5th numbers to the right in order to round the answer.

Which expression is equivalent to 3.7−6.4 ?

6.4 + 3.7

6.4−3.7

−6.4+3.7

−6.4−3.7

Answers

−6.4+3.7  is equivalent to 3.7−6.4

Further explanation

Decimal numbers are numbers in which there are commas or decimal points.

The value of each number in decimal numbers is based on a comparison of the number 10

In a decimal system, the numbers have the following consecutive values ​​(the place value of the digits in a number): hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths , hundred thousandths

Between ones and tenth values ​​separated by commas (decimal points)

Decimal numbers can also be expressed as proper or mixed fractions

The position of each digit in decimal numbers is important.

Because the decimal number is based on the number 10, As we move left, each position is 10 times bigger, and As we move right, each position is 10 times smaller

On the left of the decimal point is a whole number

"Equivalent to" mean having the same value.

In the decimal addition operation, we must pay attention to the place value

Addition between decimal numbers must be the same place value, for example between hundreds with hundreds, ten with ten and so on

Or if we use a vertical addition system, one under the other, pay attention to the decimal point, must be straight from top to bottom

In this addition operation we check the results of the addition of each decimal number operation

Question :

3.7−6.4 = - 2.7

Answer choices :

a. 6.4 + 3.7 = 10.1

b. 6.4 - 3.7 = 2.7

c. -6.4 + 3.7 = -2.7

d. - 6.4 - 3.7 = -10.1

Answer choices that have the same result is option C

Or simply this is the commutative form of addition operations

a + b = b + a (a = -6.4, b=3.7)

-6.4+3.7 = 3.7 +(-6.4)

-6.4+3.7 = 3.7 - 6.4

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place value

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the place value: 12,354,897  

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Round 141,999 to the nearest tenth, hundredth, ten, and hundred.

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Keywords: decimal, decimal point, addition, equivalent to

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

Further explanation:

Given:

The options are as follows,

A. [tex]- 17 + 2x[/tex]

B. [tex]- 2x + 17[/tex]

C. [tex]- 2x -17[/tex]

D. [tex]17 + 2x[/tex]

Explanation:

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

[tex]\boxed{a + \left( {b + c} \right) = \left( {a + b} \right) + c}[/tex]

In commutative property we interchange the numbers or digits.

This property can be used for multiplication and addition. It cannot be used in division and subtraction.

Commutative property for addition is [tex]\boxed{x + y = y + x}[/tex]

The expression is [tex]3.7 - 6.4.[/tex]

[tex]A = 3.7 - 6.4[/tex]

By commutative property of addition the expression can also be expressed as follows,

[tex]\begin{aligned}A&= 3.7 - 6.4\\&= - 6.4 + 3.7\\\end{aligned}[/tex]

The equivalent expression of [tex]3.7 - 6.4[/tex] is [tex]\boxed{ - 6.4 + 3.7}[/tex]. Option (c) is correct.

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Learn more about the polynomial https://brainly.com/question/12996944 Learn more about logarithm model https://brainly.com/question/13005829 Learn more about the product of binomial and trinomial https://brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: expression, equivalent, division, equation, multiplication, exponents, parenthesis.

Read the problem in the box below. Make a list to help you find the correct answer.

Answers

the answer is answer a

After a 85% reduction, you purchase a new soft drink machine for $90. What was the original price?

Answers

Final answer:

The original price of the soft drink machine was $600, obtained by using the percentage reduction formula to find that $90 represents 15% of the original price.

Explanation:

To find the original price of the soft drink machine before the 85% reduction, we first need to understand what a percentage reduction means. An 85% reduction implies that the final price is only 15% of the original price, as 100% - 85% = 15%. Therefore, the $90 you paid is 15% of the original price.

Next, we will step through the following calculation to determine the original price:

Let the original price be represented by P.15% of P is equal to $90, which can be written as (15/100) × P = $90.To find P, we divide both sides of the equation by 15 and then multiply by 100 to isolate P on one side. This gives us P = (90 ÷ 15) × 100.Performing the calculation P = 6 × 100, we find that P = $600.

Therefore, the original price of the soft drink machine was $600.

Write two linear expressions with a sum of -5x+4

Answers

-10x+8 and 5x-4 is a possible combination. Those are both linear equations when added together will give you -5x+4

The two linear expressions are;

⇒ - 15x + 8 and 10x - 4

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The value of two linear expressions with a sum of -5x+4.

Now,

Let the two linear expression as;

⇒ - 15x + 8 and 10x - 4

After adding, we get;

⇒ - 15x + 8 + 10x - 4 = - 5x + 4

Thus, The two linear expressions are;

⇒ - 15x + 8 and 10x - 4

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Carlotta subscribes to the HotBurn music service. She can download no more than 11 song files per week. Carlotta has already downloaded 8 song files this week. Write, solve, and graph an inequality to show how many more songs Carlotta can download.

Answers

That is how I solved that :)

The number of songs that can be downloaded is no more than 3.

i.e

Number of songs ≤ 3

What is inequality?

It is a statement of an ordered relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

The number of songs that can be downloaded per week = S

S = No more than 11 songs.

This can be written as:

S ≤ 11

The number of songs already downloaded = 8

The number of songs that can be downloaded per week is:

S ≤ 11 - 8

S ≤ 3

Thus,

The number of songs that can be downloaded is no more than 3.

i.e

Number of songs ≤ 3

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. The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square feet, find
the dimensions of the rectangle.

Answers

W= width
L= length
W=3L-16
W x L=35
(3L-16) x L= 35
Rearrange to
3L^2 (squared)- 16L- 35= 0 
L=7
W=5
Final answer:

The dimensions of the rectangle are approximately 8.93 feet for the length and 10.8 feet for the width. This solution involves setting up and solving a quadratic equation based on the given conditions.

Explanation:

The subject of this question is Mathematics and it requires algebraic reasoning to solve. Here's step-by-step how to find the dimensions of the rectangle:

Let the length be denoted by 'x' (in feet).According to the question, the width is 16 feet less than three times the length, which can be written algebraically as '3x - 16'.The area of a rectangle is calculated by length times width, so in this example we would multiply 'x' by '3x - 16', and set that equal to the total area of 35 square feet.This set-up results in the equation 'x(3x - 16) = 35' or '3x^2 - 16x - 35 = 0'.Solving this quadratic equation for 'x', we find that the length (x) is approximately 8.93 feet.Substituting this value back into the equation for width, we find that the width is approximately 10.8 feet.

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solve for x

4x - 3 / 3 = 7

I

Answers

your answer will be X=18
I believe x=18 hope that helps

What are 2 phrases for the expression 85-y

Answers

85 and -y
So yeah
You get it?
85 decreased by a number y

the difference of 85 and a number y

Complete the statement: 567g = ______ hg.

56.7

567

5.67

0.567

Answers

Final answer:

To convert from grams to hectograms, you divide the number of grams by 100. So, 567 grams is equivalent to 5.67 hectograms.

Explanation:

The question involves the conversion from grams (g) to hectograms (hg). To convert from grams to hectograms, you divide the number of grams by 100, because there are 100 grams in 1 hectogram. So, to convert 567 grams into hectograms:

Step 1: Divide the number of grams by 100. This can be written as:

567 ÷ 100 = 5.67

So, 567 grams is equal to 5.67 hectograms.

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Each Child Receives a meal which consists of a hamburger, a bag of pretzels, and a drink for the children ages 6-10 and a hamburger , two bags of pretzels, and a drink for the children that are older than 10. It costs the club 80 cents for each hamburger, 35 cents for each bag of pretzels, and 60 cents for each drink. Calculate the cost to feed each age group

Answers

The cost and answer for all of the foods are $34.76
Since there isn't a given amount of children for both age groups you can represent each group by a variable:

Let variable (a) stand for the number of children ages 6-10.

Let variable (b) stand for the number of children ages 10 and older.

For one child of age 6-10, the total of the sum of the costs of each food item given to him or her would be $1.75

For one child of age 10 or older, the total of the sum of the costs of each food item given to him or her would be $2.10

The total cost to feed children 6-10 can be represented as an equation:
Total cost = 1.75a

The total cost to feed children 10 or older represented as an equation would be:
Total cost = 2.1b

And if you were to find the two total costs of both groups combined the equation would look like this:
Total cost = 1.75a + 2.1b

Find the common ratio, r, in the following geometric sequence. 27, 9, 3, 1,…


3


-3


1/3


-9

Answers

to find the common ratio 
divide by the previous numb/number beside it:
 [tex]\frac{9}{27}=\frac{1}{3},\:\quad \frac{3}{9}=\frac{1}{3},\:\quad \frac{1}{3}=\frac{1}{3}[/tex]


so [tex]r=\frac{1}{3}[/tex]

The common ratio is 1/3
27/3 = 9
9/3 =3
3/3=1

James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.

Answers

June is correct because 12 is a multiple of both 3 and 4.
June is correct. 

When you are dealing with factors, you have to think of what numbers multiply to get the number I see.
Let's say the number is 10. What numbers can be multiplied to get 10.
Well, there is 1, 10, 2, 5 so all of those numbers are factors of 10.

When you are dealing with multiples, you have to think of the opposite. If the question asks is 12 a multiple of 3 and 4, than you have to think...If I multiply a number by 3 could I get 12 and... If I multiply a number by 4 could I get 12. The answer is yes you could multiply 3 and 4 and 4 and 3 to get the number 12. That makes 12 a multiple.  

Can someone check this please

Answers

Let's check the answer

Start with equation (1). Plug in (x,y) = (-10,-1)
x + 5y = -15
-10 + 5y = -15 ... replace x with -10
-10 + 5(-1) = -15 ... replace y with -1
-10 - 5 = -15
-15 = -15 ... true equation

So we've confirmed one equation so far. Let's check the other equation

--------------------

Start with equation (2). Plug in (x,y) = (-10,-1)

y = (1/5)*x + 1
y = (1/5)*(-10) + 1 ... replace x with -10
-1 = (1/5)*(-10) + 1 ... replace y with -1
-1 = -2 + 1
-1 = -1

Since both equations are true when (x,y) = (-10,-1), this confirms the answer. Nice work on getting the correct answer.

Visually we can see the two lines crossing at (-10,-1). See the attached image. Note: 1/5 = 0.2 so the second equation can be written as y = 0.2x+1

write each ratio as fraction in simplest form. Then explain it 2 drums, 4 flutes

Answers

When you report it as a ratio, you write it as a:b. This could also be reported as a fraction as a/b. Ratios and fractions are just the same in concept, which shows the relative amounts of the components. For example, if you want to find the ratio of drums to flutes, that would be 2/4 in fraction form. Since 2 and 4 are multiples of each other, we can simplify it further to 1/2.

use the number line to add -2/5+1/2

Answers

-2/5 = -4/10

1/2 = 5/10

-4/10 + 5/10 = 1/10


What is the answer to 5x6+6x3+4x9

Answers

Use order of operations
P
E
M
D
A
S

So multiply 5x6 to get 30
Then times 6x3 to get 18
Next times 4x9 to get 36

Add 30, 18, and 36 together to get

84
Wait, r u that stu pid or is that the wrong answer^

Sam is doing his math homework. Hey completes 10 probelms every 30 minutes. How many porbelms can sam complete in 60 minutes?

Answers

Put the ratios into fraction form. Since you do not know how many problems, replace it with an unknown number a.k.a. a variable. 

10/30 = x/60

Since you can get 30 to 60 by multiplying by 2, multiply everything on the left side by 2.

Then, you get 20/60, which means 20 = x. So, he can complete 20 minutes an hour.
He can complete 20 problems in 60 minutes

What does y equal 1/3z+y=4

Answers

y= -1/3z+4

To isolate the y, you just subtract over the 1/3z to the other side. 

r -7 times r to the 3rd power

Answers

The answer is r to the 14th power.

Evaluate.

3^−1⋅(4⋅6)⋅2^−3

plz be sure to explain

Answers

Remember PEMDAS 
Parenthesis, exponents, multiplication/division, add/subtract
So look for parenthesis first so we have (4*6)=24

3^-1*24*2^-3
Now look for exponents
3^-1= 1/3 because 3^1 = 1/3
and
2^-3=1/( 2*2*2) = 1/8

= (1/3)*24*(1/8 )

now multiply from left to right.

(1/3)*24= 8
8*(1/8)= 1 

final answer being 1 

Which number is greater 87 or 13.688? How do you know?

Answers

87 because 87 is a whole number and 87 < 13
87 is larger because it is a higher whole number as 13.688 is mostly decimals. When comparing these numbers look at the numbers before the decimal. 

Suppose that 5 customers arrive, and each orders a different appetizer to share from a choice of 12 appetizers. In how many ways can this be done?

Answers

Final answer:

The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers is 95,040.

Explanation:

The number of ways to choose a different appetizer for each of the 5 customers from a choice of 12 appetizers can be calculated using permutations. In this case, the order in which the appetizers are chosen does matter, and repetition is not allowed since each customer must choose a different appetizer.

To calculate the number of ways, we can use the formula for permutations:

P(n, r) = n! / (n-r)!

Where n is the total number of items and r is the number of items to be chosen.

So, in this case, the number of ways to choose the appetizers is:

P(12, 5) = 12! / (12-5)! = 12! / 7!

Using a calculator simplifies to:

P(12, 5) = 95,040

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