A recipe calls for 3 cups of flour to make 2 batches of dinner rolls. One batch makes 15 rolls. Laura is making dinner for 12 people and only needs one roll per person.
What proportion will help Laura find how much flour is needed to make 12 dinner rolls?
A. 3/30 = x/12
B. 3/2 = x/12
C. 3/15 = x/12
D. 12/15 = x/3

Answers

Answer 1

Answer:

Step-by-step explanation:

3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.

Laura wants to find how much flour she needs to make 12 rolls.

Here's the setup:

Let x be the number of cups of flour needed. Then,

(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)

This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.

It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.

This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.

Answer 2

A. 3/30=x/12
Or B 3/2 = x/12

Related Questions

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $22.00. How much is the labor fee and how much is each quart of oil?

Answers

Answer:

7j jujug

Step-by-step ef4rd4xplanation:

Answer:
5x + b = 22

The variable b stands for the flat fee of labor and the 5x stands for the quarts of oil and the price.

First, we would plug in numbers for the variable x.

Let’s say, we plugged in 3, 5(3) = 15

So, 5(3) + b = 22

That equation is solvable and would equal,
B= $7 flat fee
X= $3 per quart of oil

Which of the following is equivalent to 10^4 x 10^3?

1) 10^7

2) 10^12

3) 20^12

4) 20^7

Answers

Answer:

1) 10^7

Step-by-step explanation:

When multiplying same-base exponents, you keep the bases the same and add the exponents.

Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?

Fraction:_______

Answers

Answer:

17.5

Step-by-step explanation:

Half 37

Put into decimal

Answer:

Step-by-step explanation:

If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.

Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)

$=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\$

PLEASE HELP!!!!!
One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.

Answers

Answer: B. Find the angle measure between the anle bisetor and the height step-by-step explanation:

I my self dont really want to learn mysef i just get awnsers from here i know most of yall do the same so no step by step

The answer is B) Find the angle measure between the angle bisector and the height.

Help me plz. I’ll mark as brainliest

Answers

Answer:

add 60+15 divide 75 by 3 multiply 2 by 4 cube 2 subtract 8 from 5 add 17 and 8 im pretty sure soorry if wrong

Step-by-step explanation:

Harry’s 3 t-shirts cost $18. At this rate, what would his cost be for 8 shirts?

Answers

Answer:

your answer is 48

Step-by-step explanation:

Harrys 3 t-shirts cost $18. At this rate, what would his cost be for 8 shirts?

answer: 48
3/18=6
6 • 8 = 48

A cell phone cost $ 642.50. There is a sales tax rate of 6% in the county where it is purchased. What is the sales tax rate for the refrigerator in dollars and cents?___________

Answers

Answer:

Tax (6.0%)$38.55

Gross Amount (including tax)$681.05

Step-by-step explanation:

see picture

A cell phone cost $ 642.50. There is a sales tax rate of 6% in the county where it is purchased. What

Answer:

603.95

Step-by-step explanation:

tell me if u get the answer right

Frank finds 9 coins on the floor of his car, and 3 of them are quarters. If he finds 15 more coins on the ground, at the same ratio as the coins found in the car, how many more coins will most likely be quarters?

Answers

5,
3 is 1/3 of 9, meaning the probability of picking up a quarter is 1/3, if he finds 15 more,
15/3 is 5.

5 coins should be quarters

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or $\frac{3}{9}$, were quarters.

Simplifying this fraction, we get $\frac{1}{3}$ of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then $\bold{\frac{1}{3}}$ of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find $\bold{\frac{1}{3}}$ of 15:

$\large \frac{1}{3} \times 15 = 5$

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

pls do all of them correctly <3

Answers

#12; 2•3•5^2

#13; -95

#14; -83

Answer:

#12; 2•3•5^2

#13; -95

#14; -83p

What possible transforms are shown below?

A reflection in the y-axis

A translation 4 units to the left

A rotation of 90°

A reflection in the x-axis

Answers

Answer: A reflection in the y-axis, a rotation of 90 degrees.

Reflection across y axis

(a) Find the volume of the container.
12cm
22cm
10cm
7 cm
8 cm

Answers

Answer:

Step-by-step explanation: you would have to cut the shape in to two then multiply the base x width x length

Multiple the base x height x Edith

The populations of two cities after t years can be modeled by -150t+50,000 and 50t+70,0000 . What is the difference in the populations of the cities when t=4

Answers

Answer:

25,800

Step-by-step explanation:

Plug in 4 everytime you see T.

multiple-150 times 4 plus 50000 which gives you 49,400.

then multiple 50 times 4 and add 75000, giving you 75,200 then subtract 75,200 - 49,400 which you end up with 25,800.

hope this helped

Can somebody answer these 2 questions, please

Answers

Answer:

1. 30 cm^2

2. 40 cm^2

Step-by-step explanation:

Area = b * h for a parallelogram

−2a=10−3(2a+6) how is this supoosed to be solved best abswer is brailyest and i really donee the answer im about to fail so yeah

Answers

Answer:

A=-2

Step-by-step explanation:

1: Distrivute

-2a = 10 - 3(2a+6)

-2 = 1-6a - 18

2: Subtract

-2a = 10 - 6a -18

-2= -8 - 6a

3: Rearrange

-2a=-8 - 6a

-2a=-6a - 8

4: Add

-2a + 6a = 6a - 8 + 6a

5: Simplify

remember to combine like terms

4a = -8

6: Divide

4a/4 = -8/4

7: simplify

a= -2

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice

Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

A bag contained 18 red marbles, 14 green marbles, and 20 blue marbles. A marble was randomly pulled, the color recorded, and then put back into the bag. This table above shows the results after 25 pulls.

What was the relative frequency of selecting a red or blue marble?

Red:8
Blue8
Green9

Answers

Number of red marbles pulled = 8

Number of blue marbles pulled = 8

Total marbles pulled = 25

Relative Frequency = Total Frequency / Total number of data values

Relative Frequency of red marble = 8/25

= 32%

Relative Frequency of blue marble = 8/25

= 32%

Learn more about Relative Frequency here

Visit —

https://brainly.com/question/3857836

Hope my answer helps you✌️

Mark BRAINLIEST

The first person is right

Please help! ASAP will give brainiest

Answers

i got a decimal,10.66.

I got 10.66 as a decimal

Elaina ran on a treadmill for 30 minutes during her workout today. She programmed the machine so that she would be running 1 mile every 12 minutes. Which equation and solution can be used to describe the number of miles, m, she had run by the end of her 30-minute workout on the treadmill?

a: 12m = 30, m = 2.5
b: 30m = 12, m = 0.4
c: 12 • 1/2 = m, m = 6
d: 1/2 ÷ 12 = m, m ≈ 0.04

answer asap for brainliest :)

Answers

A: 12m = 30, m= 2.5
im pretty sure

A12m= 30, m = 2.5 i’m pretty sure

PLS ANSWER>>>>>> I NEED ANSWER NOW!!!!

Answers

Answer:

c) Punishments in the Code of Hammurabi were adjusted depending on the status of the perpetrator and the victim.

Step-by-step explanation:

The Code of Hammurabi reflected the social hierarchy of ancient Babylonia in that it differentiated punishments based on the social status of the perpetrator and the victim. For example, the code stipulated different punishments for crimes committed by a nobleman versus those committed by a commoner. This demonstrates that ancient Babylonian society was structured into a hierarchy, with different levels of privilege and responsibility assigned based on social status. The Code of Hammurabi, then, serves as a tangible expression of this social hierarchy, showing the ways in which the laws of the land reflected and reinforced existing power dynamics.

Answer: c

Step-by-step explanation:

What is the product of a number and 15 plus 12, written as an algebraic expression?

Answers

Answer:

15x + 12

Step-by-step explanation:

Answer: hope this helps ♡

15x+12

Which compound inequality has no solution?
A. –2 < x and 2x + 6 < 14
B. 4 < x and 6x – 11 < 14
C. 10 < x and 2x – 3 < 14
D. 14 < x and 0.5x + 6 < 14

Answers

Answer should be c hope it helps

The answer is C! Hope I helped you!

Which net represents the three-dimensional figure shown on the right? Will give brainliest!

Answers

Answer:

Looks like the top left

Answer:

It's the 1st one from the left!

Step-by-step explanation:

What is 12% of 150? I need this quick 30 POINTS

Answers

Answer:

12% of 150 is 18

Step-by-step explanation:

You have to do 12 divided by 100 x 150 which will equal 18. Hope this helps! : )

Answer:

$ \frac{12}{100} \times 150 \\ \frac{12}{2} \times 5 \\ 6 \times 5 \\ = 30$

help be please whoever's right will get brainiest :")

Answers

Answer: the answer is a

Step-by-step explanation: wild geuse

Confident that this is A

A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Write an equation relating L to D. Then use this equation to find the length of the road after 38 days.

Answers

We can simply find our answer and this is our solution
38D+41=L

Answer:

We can simply find our answer and this is our solution

38D+41=L

Step-by-step explanation:

Help!!! Show your work

Answers

27.

use neative rule

1 / (1/4 )

then invert and multiply

answer 4

28.

negative rule

1 / (2/5) ^2

then division dis

1 / (2^2/5^2)

simplify 2^2 to 4

then simplift 5^2 to 25

invert and mul

answer 25/4

29.

negative rule

1/ (-1/3^3)

then division dis

1 / (-1/3^3)

simplify 3^3 to 27

move negative sign to left

invert

answer -27

30.

negative rule

1 / (-2/3)^3

since the power of 3 is odd, the result will be negative

1/ -(2/3)^3

division dis

1/ - (2^3 / 3^3)

simplify 2^3 to 8

simplify 3^3 to 27

move negative sign to left

invert

- 1 / - (8/27)

answer - 27/8

What is the area of the circle? Approximate using pi equals 22 over 7. a circle with radius labeled 35 yards
110 square yards
220 square yards
3,850 square yards
15,400 square yards

Answers

Answer: 3.14 multiplied by 35 squared gives you 3,850, So the answer is C

Step-by-step explanation:

Suzanne keeps track of her company’s gains and losses. The table shows the gains and losses for three months. Based on the data in the table, which statements are true? Select all that apply. (Answer asap because im on a quiz rn)

A.
-$300 represents a gain of $300

B.
+400 represents a gain of $400

C.
$0 represents a gain of $300

D.
+$400 represents a loss of $400

E.
-$300 represents a loss of $300

F.
$0 represents no gain and no loss

G.
$0 represents a loss

Answers

Answer: B, E, and F.

Step-by-step explanation: -$300 means negative 300 which is not a gain, it is a loss as negative numbers are losses. So A is wrong. +400 indeed is a gain as it is a positive and has an addition sign in front of it Using this knowledge we can see that besides B, only E and F are correct.

C it explains it because it is the best answer

can someone with big brains help me I have less then an hour to turn it in

Answers

Answer:

Commutative property of addition:

a+b=b+a

Associative property or addition:

a+(b+c)=(a+b)+c

In the 3 blanks, first is 4, then is 8, and the last one is 14 for the answer.

For slide 2, on commutative property, the first blank is 17, and the next one is 10.

For associative, the first one is a, and the next one is c, and in the third box belongs 7.

Answer:

i answered so you could mark the other person brainliest

Step-by-step explanation:

Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?

A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft

Answers

Answer:

Step-by-step explanation:

just multiply the three over four inches with seven and a half to get the accurate measurements

the answer to this is D

Other Questions

10 points!----Tom Stoppard's play, Rosencrantz and Guildenstern Are Dead, draws on two previous theatrical works: Shakespeare's Hamlet and Samuel Beckett's Waiting for Godot. Rosencrantz and Guildenstern Are Dead follows the "off-stage" exploits of two minor characters from Hamlet, Rosencrantz and Guildenstern. While the two main characters in Stoppard's play occasionally make brief appearances in "Hamlet," as scripted in Shakespeare's original tragedy, the majority of the play takes place in other parts of the castle where Hamlet is set. While "off stage" in this way, the characters resemble the main characters in the absurdist Waiting for Godot. As in Beckett's play, Rosencrantz and Guildenstern pass the time by impersonating other characters, engaging in word play, and remaining silent for long periods of time. These same two characters were also featured in a parody of Hamlet, the short comic play by W. S. Gilbert entitled Rosencrantz and Guildenstern. 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