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
Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?
Answer:
She can bake 8 dozen cookies in 112 minutes.
Step-by-step explanation:
70/5 =14
112/14= 8
Why do people think maths as a hard subject
Do you feel math is hard
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Practice throws(X) : 4 10 6 15 0 7 11
Free throws(Y) : 8 23 9 34 5 11 27
Using the online linear regression calculator :
ŷ = 2.1559X + 0.3912
2.1559 = slope
0.3912 = intercept
X = independent variable ; y = dependent variable
The Coefficient of determination (R²) = 0.9506² = 0.9036
Quadratic model : y = 0.0961x²+0.7138x+3.8031
Coefficient of determination(R²) = 0.9739² = 0.9485
Exponential model:
a*b^x
Coefficient of determination (R²) = 0.9753² = 0.9512
The exponential model fits the data best.
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
What integer divided by -5 equals -6?
-30
24
-24
30
Answer:
30
Step-by-step explanation:
30/-5=-6
due to integer rules the number would be negative
1. Which property could you use to change the order of the addends? Use commutative property to rearrange the addens. 2. Which property could you use to change the grouping of the addens 4) Simplify your sum to find the total amount of soup mix. Show your work.
Step-by-step explanation:
Hi, it seems the question is not complete, therefore I'll create an example tailored to the concept of the question you are asking.
1. Cumulative property can be used to change the order of addends and the result remains the same. Therefore the law states that, if a and b are real numbers, then a + b = b + a
Think about adding two numbers, such as 7 and 2.
7 + 2 = 9
2 + 7 = 9
The results are the same.
Notice, the order in which we add does not matter.
2. Associative property, this can be used to regroup addends and the result remains the same: the law states that, if a, b and c are real numbers, then
(a + b) + c = a + (b + c).
Think about three numbers, 4, 3 and 2
(4 + 3) + 2 = 7 + 2 = 9
4 + (3 + 2) = 4 + 5 = 9
The results are the same, notice that the regrouping did not change the final result.
Answer:
Thank You This Helped Alot!
Which of the following numerical expressions have the same value as 1-1024257
Answer:
125612
Step-by-step explanation:
Points A and B lie on a circle with radius 1, and arc
⌢
AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc
⌢
AB
?
Answer:
arc AB=16 circumference
Step-by-step explanation:
The circumference of a circle with radius
r=1
has a length
C1=2rπ=2π
An arc length of π 3 represents π
32π = 132 + 16 of this circumference
Find DE
3x - 28
D
3x - 30
х
G
E
F
33
Answer:
EG= 18
Step-by-step explanation:
Please see the attached picture for the full solution.
Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.
Answer:
1147 days
Step-by-step explanation:
3x365= 1095
7x7=49
1095+49+3=1147
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
1. If what you gain daily continues in this manner, how much gain can you expect at the end of the week?
2. Is your gain shows a pattern? If yes, find its general rul
3. Using the general rule, compute for your expected gain at the end of 30 days.
List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
brainliest?
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
-5(m + 1) + 7m -1. it is simple
Answer:
2m - 3
I hope this helps!
plzzzz help i need a lot of help
Answer:
First of all, <F is 63 degrees because of sum of angles in a triangle is equal to 180.
We know that the biggest angle in a triangle is always opposite the biggest side in a triangle, and vice versa. So, you can say that since <E is the smallest angle, the side opposite to it, side FD, is the shortest. Using just that, you can eliminate all options except the first and fifth. Now, <F is the second largest after that, and it's opposite to side DE. That piece of information helps you decide that the answer is Option Five (even though it's not numbered).
The option: FD<DE<EF
Hope this helps!
Evaluate the expression when c=4. c2 +6c+8
(the 2 after the c is one of those mini high 2's.)
Answer:
48
Step-by-step explanation:
It’s the first one that I need help with
Answer:
4x-3(6x-1)=-11Step-by-step explanation:
6x-y=1
-y=-6x+1
y=6x-1
4x-3y=-11
4x-3(6x-1)=-11Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50? More pendants to make a $50 profit
Answer:
Kelsey must produce 34 more pendants.
Step-by-step explanation:
Giving the following information:
Fixed costs= $200
Unitary variable cost= $7.8
Selling price per unit= $13.5
Desired profit= $50
To determine the number of units to be sold, we need to use the break-even point in units formula.
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (200 + 50) / (13.5 - 7.8)
Break-even point in units= 250/5.7
Break-even point in units= 43.86 = 44
Kelsey must produce 34 more pendants.
3.94x+36 =15.5236+
6x
Answer
i think its 9.94
Step-by-step explanation:
Answer:
x = 9.94
Step-by-step explanation:
To float in water, an object must have a density of less than 1 gram per milliliter. The density of a fresh egg is about 1.2 grams per milliliter. If the density of a spoiled egg is about 0.3 grams per milliliter less than that of a fresh egg, what is the density of a spoiled egg? How can you use water to tell if an egg is spoiled?
Density of fresh egg = 1.2 g/cm³.
Density of spoiled egg = Density of fresh egg - 0.3 g/cm³.
Density of spoiled egg =( 1.2 - 0.3 ) g/cm³ = 0.9 g/cm³.
Now, it is given that any object with density less than 1 g/cm³ will float on water.
To tell whether an egg is spoiled or not using water. We should drop egg in water if it float then it is spoiled else it is fresh.
Hence, this is the required solution.
What are two different decimals that when rounded to the nearest thousandth would give 5.24 as an answer
Answer: 5.2387 and 5.2437
Step-by-step explanation:
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Write the equation to be used to solve this equation.
Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
Which graph shows a proportional relationship between x and y?
Answer:the last one
Step-by-step explanation:
Answer: B
Step-by-step explanation:
I HAVE DONE THIS ALREADY
Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
Three friends, Hannah, Jeremy and Delmon, were watching the Tigers game on TV. The Tigers were losing, so they started talking about how old each of them was. Jeremy, who was the oldest, noticed that they were all between the ages of 11 and 30. Hannah noticed that the sum of their ages was 70. Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!" Hannah then realized that the difference between her age and each of the guys was more than 5 years. How old was each person?
Answer:
The age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
Step-by-step explanation:
Let H , J and D be the age of Hannah, Jeremy and Delmon respectively.
We are given that Hannah noticed that the sum of their ages was 70.
H+J+D=70---1
Now we are given that Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!"
J-D>10
Now we are given that Hannah then realized that the difference between her age and each of the guys was more than 5 years.
So, D-H>5
J-H>5
D-H=5---2
J-H=5
So, D=J
Substitute in 1
2D+H=70 --3
Substitute the value of H from --3 in 2
D-70+2D=5
D=25
So, J = 25
Substitute values in 1
H+25+25=70
H=20
Hence the age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
every mile that you drive. If you drive 120 miles, how much is the total charge for
the rental car?
(c) $79.80
(a)' $75.29
(d) $74.71
(b) . $165.29
(e) none of these
Please show the work
Answer:
The correct choice is (c) $79.80
Step-by-step explanation:
The total charge for renting a car can be split into two parts:
A fixed one-time charge of $45
A variable charge of $0.29 per driven mile.
If I drive 120 miles, the variable charge will be 120*0.29 = $34.80
The total charge will be $45 + $34.80 = $79.80
The correct choice is (c) $79.80
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28