A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 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.) You can make a total of batches at $ per batch.

Answers

Answer 1

Answer:

a) 9 whole batches can be made

b) The cost of sugar for each batch = $0.26

Step-by-step explanation:

A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.

This means:

2 pound bag of sugar = 227 teaspoon servings

2 pounds bag of sugar cost $2.49

We are told that:

A batch of muffins uses 1/2 cup of sugar.

a).How many whole batches can you make if you use as much of the sugar as possible?

(1 cup = 48 teaspoons)

Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2

= 24 teaspoons of sugar

Hence:

24 teaspoons of sugar = 1 batch of muffins

227 teaspoons of sugar = x

Cross Multiply

24 × x = 1 × 227

x = 227/24

x = 9.4583333333 batches of muffins

We are asked to name the number of whole batches that can be made.

Therefore, 9 whole batches of muffins can be made

b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.

Since we are not to consider the leftover sugar in the cost calculation,

1 batch = 24 teaspoons of sugar

9 whole batches =

9 × 24 teaspoons = 216 teaspoons of sugar was used

The left over = 227 - 216 = 11 teaspoons of sugar is left

We know that:

227 teaspoons of sugar = $2.49

216 teaspoons of sugar = x

Cross Multiply

= 216 × $2.49/227

= $2.369339207

24 teaspoons of sugar = 1 batch of muffins

Therefore,

216 teaspoons of sugar =

$2.369339207

24 teaspoons of sugar =

24 × $2.369339207/ 216

= $0.2632599119

Approximately = $0.26

Therefore, the cost of sugar for each batch = $0.26


Related Questions

Evaluate the expression.62−4÷2 62−4÷2

Answers

The answer to that is 10,000

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies

if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )

Answers

Answer:

48

Step-by-step explanation:

1 b = 2p

24 b = 48  p

award brainliest if this helped! :)

Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.

Answers

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

15 points! :)

find the value of x for each figure. each figure is in the centimeters(cm). not to scale.

answer this, don't answer if you don't know

Answers

Answer:

10) 1/7

11) 3/4

12) 1/3

13) 1/2

14) 1/2

15) 7/9

I will give BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

if y= 2x - 3, find the value of y when x=2

Answers

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Y is 1 because 2 x2 is 4-3 is 1 quick maths

Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation

Answers

A combine like terms
Hi :)

The answer is A

Because 5x and 4x have the same variable, we can add them together

Hope this helps :)

Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well

Answers

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s

Answers

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

What is Proportionality?

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ2

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.​ Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have​ initially

Answers

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.

y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.

Answers

y-6 =4 (1-4)

y-6=-12

y=-6

Answer:y= -6


2 + 29m - 9m - 5 =
HELP

Answers

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

how to solve this it says solve 6!

Answers

Answer:

720

Step-by-step explanation:

6*5*4*3*2*1=720

Early in November, it was 37​ O​ F on a particular day. The temperature has dropped 2​ O​ F every day since then. It is now -11​ O​ F. How many days have passed since it was 37​ O​ F outside?

Answers

14 days have passed since it was 37°F outside.

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.

Answers

Given :

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

To Find :

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

Solution :

Let, Ginger makes x pitchers of power smoothies :

[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]

Therefore, number of scoops Ginger used is 84.

Hence, this is the required solution.

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches

Answers

Answer:

Step-by-step explanation:

Solve the system by substitution.
Y = 10x
7x + 3y =
37

Answers

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

two plus two plus four??

Answers

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)

A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8

Answers

Answer:

A

Step-by-step explanation:

y=x+1

=> put y=5

5=x+1

x=5-1

x= 4

(4,5)

same put y=9

so, x= 8

(8,9)

h e l p

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answers

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

if 1/4 of the pie was eaten what fraction of the original whole pie remains

Answers

Answer:3/4

Step-by-step explanation:

3/4 of the pie remains

The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.

Answers

Answer:

Explained below.

Step-by-step explanation:

Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

The probability of X is, p = 0.75.

A random sample of n = 5 trucks are observed on this stretch of I-77.

The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.

(a)

Compute the mean as follows:

[tex]\mu=n\times p=5\times 0.75=3.75[/tex]

The mean of this probability distribution is 3.75.

(b)

The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

(c)

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]

Thus, the standard deviation of this probability distribution is 0.97.

(d)

Compute the probability that exactly 3 of the observed trucks are speeding as follows:

[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]

Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.

(e)

Compute the probability that less than 3 of the observed trucks are speeding as follows:

[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]

Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.

The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer

 initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 =>  y=0+5 => y=5

The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

c1=5

Question 3 50 points

Part A
Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship.

Answers

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

2x+b=w,for x i need to know what this answer is

Answers

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.

Answers

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

8x-13+4+1=90 helppppppp

Answers

Answer:

x = 49/4

Step-by-step explanation:

3x + 5.9 = 14.6
What's the answer?

Answers

Answer: X=2.9

Step-by-step explanation:

What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?

Answers

Answer:

The same thing would happen over and over again.

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