Amelia is making a cookie recipe that requires 4 cups of sugar for every 12 cups of flour. Amelia only has 9 cups of flour. She concludes that she will only need 3 cups of sugar Is Amelia correct? Why or why not?

A Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12.

B Amelia is correct. One-quarter the amount of sugar is needed because only one-quarter of the recipe will be made.

C Amelia is incorrect. The number of cups of sugar must be reduced by 3 because the number of cups of flour is reduced by 3.

D Amelia is incorrect. She needs 4 cups of sugar because decreasing the number of cups of flour by 3 requires increasing the number of cups of sugar by 3.

Answers

Answer 1

Answer:

Step-by-step explanation:

Because if you will divide the ratio 4:12 by three- we will get a ratio 1:3. Then we need the last 3 in the ratio 1:3 become a 9. For this we need to multiply it by 3= 1:3 *3= 3:9. This is only 3/4 of whole of recipe.

Answer 2

Answer: Choice A)

Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12

=======================================================

Explanation:

It might help to think of the ratio 4:12 as the fraction 4/12. Dividing both parts by 4 leads to 1/3.

Similarly, the ratio 3:9 becomes 3/9 which reduces to 1/3.

This shows that 4/12 = 3/9, so the ratios 4:12 and 3:9 are the same.

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

Another way to show two fractions are equal is to do the steps below

4/12 = 3/9

4*9 = 12*3 ... cross multiply

36 = 36

Since the last equation is true, the first equation must be true.

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Here's another way to see Amelia is correct.

So we know that 4 cups of sugar go with 12 cups of flour. This forms the fraction 4/12.

We also know that she has 9 cups of flour. Let's say we don't know how much sugar she needs, so we'll call this x. We have x cups of sugar go with 9 cups of flour. This forms the fraction x/9.

Equate the two fractions and solve for x

4/12 = x/9

9*4 = 12*x ... cross multiply

36 = 12x

12x = 36

x = 36/12 ... divide both sides by 12

x = 3

She needs 3 cups of sugar

The steps in this section are very similar to the steps in the last section.

Related Questions

Kay spends 250 min/wk exercising. Her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?

Answers

Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

Solution:

Given that,

Kay spends 250 min/wk exercising

Therefore,

Exercising = 250 minutes per week

Ratio of time spent on aerobics to time spent on weight training is 3 to 2

Aerobics : weight training = 3 : 2

Let the time spent on aerobics be 3x

Let the time spent on weight training be 2x

Thus,

3x + 2x = 250

5x = 250

x = 50

Thus,

Time spent on aerobics = 3x = 3(50) = 150

Time spent on weight training = 2x = 2(50) = 100

Thus, Time spent on aerobics is 150 minutes per week and time spent on weight training is 100 minutes per week

Sophie and Marcos are each saving for new bicycles. So far,
Sophie has $10 saved and can earn $5 per hour walking
dogs. Marcos has $4 saved and can earn $8 per hour at his
family’s nursery.
a. Write an equation for each individual.
b. After how many hours of work will Sophie and Marcos
have saved the same amount?
c. What will that amount be?

Answers

a. Sophie's equation: 10+5a=b

Marcos' equation: 4+8a=b

a=number of hours b=total needed for bike

b. a=2 for their totals to be the same.

c. b=20 for their totals to be the same.

work:

10+5(2) > 10+10 > 20

4+8(2) > 4+16 > 20

(2, 6) & (2,7)
Find the slope

Answers

Answer:

1/0 or undefined (use undefined)

Step-by-step explanation:

7-6= 1/0

2-2=

1/0 isn't a real slope so it's undefined...

Help plz. 4x^2-10x=84

Answers

Answer:

my brain just died sorry

Step-by-step explanation:

Answer:

x = 6

4x2−10x=84

Step 1: Subtract 84 from both sides.

4x2−10x−84=84−84

4x2−10x−84=0

Step 2: Factor left side of equation.

2(2x+7)(x−6)=0

Step 3: Set factors equal to 0.

2x+7=0 or x−6=0

−7

or x=6

Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.

A graph shows number of math problems on the x-axis, from 0 to 20, and number of science problems on the y-axis, from 0 to 16. A dashed straight line has a negative slope and goes through (4, 12) and (12, 6).
Which statement could be true in this situation?

Alexia completed 8 math problems and 9 science problems.
Alexia completed 4 math problems and 6 science problems.
Alexia completed 20 math problems and 10 science problems.
Alexia completed no math problems and 15 science problems.

Answers

Answer:

Step-by-step explanation:

Help yall girl for 30 point

Answers

Answer:

cant help ya but if you go to math_way they help with all sorts of stuff like this

Step-by-step explanation:

sorry!

what is 331.5 pages in 8.5 weeks simplified

Answers

9514 1404 393

Answer:

39 pages per week

Step-by-step explanation:

(331.5 pages)/(8.5 weeks) = 39 pages/week

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 0 < x < 2.
20
0
58
2
46
4
34
6
22

Answers

Answer:

- 0.4 (in decimal)

Step-by-step explanation:

Here "x" is input and "f(x)" is output

Average Rate of Change is = change in output / change in input

At x = 0, the output is 41

At x = 60, the output is 17

= (17-41)/(60-0) = -24/60 = -0.4

The sum of three consecutive numbers is 84. What is the largest of these numbers? (5 points) a 28 b 26 c 29 d 27

Answers

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84 {Combine like terms}

x + x +x + 1 + 2 + 3 = 84

3x + 6 = 84

3x = 84 - 6

3x = 78

x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

=29

An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?

Answers

Answer:

10 minutes!

Step-by-step explanation:

140 * 10(min) = 1,400

4000 - 1,400 = 2,600 ft

so will take 10 minutes for the plane to descend 1,400 ft

Answer:

10 minutes

Step-by-step explanation:

in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10

2r+7=16
what does r =

Answers

Answer:

4.5

Step-by-step explanation:

2*4.5=9+7=16

The value of r in the given linear equation 2r + 7 =16 is 9/2.

What is linear equation in one variable?

A linear equation in one variable is an equation which has maximum of one variable of order 1. It is of the form ax + b =0, where x is the variable.

Solving Linear Equation in one variable

For solving an equation having one variable, the following steps are followed:

Step1: Using LCM, clear the fractions if any.Step2: Simplify both sides of the equation.Step 3: Isolate the variable.

According to the given question

We have, a linear equation in variable r.

2r +7 =16

⇒ 2r + 7 -7 = 16 -7

⇒ 2r = 9

⇒ r = 9/2

Hence, the value of r is 9/2 for the given linear equation 2r + 7 = 16.

Learn more about Linear equation in one variable here:

https://brainly.com/question/11897796

#SPJ2

Kali runs 10 laps around a track each day each lap around the track is 400 m how many days will it take me to run a total of 12

Answers

Answer:

It will take 3 days.

17,12,13,14 whats the middle

Answers

Answer:

6.75

Step-by-step explanation:

Put them in order from least to greatest

12, 13, 14, 17

Add the middle numbers together

13+14=27

0.77389068155

EXPLANATION

sin 70 = 0.77389068155

0.77389068155
..

......

GIVING 100 POINTS!! PLUS BRAINLIST! whoever scams this will get reported and have there points deducted and blocked as a user!

The basketball coach made up a game to play where each player takes 10 shots at the basket. For every basket made, the player gains 10 points. For every basket missed, the player loses 15 points.

a. The player with the highest score sank 7 baskets and missed 3. What was the highest score?

b. The player with the lowest score sank 2 baskets and missed 8. What was the lowest score?

c. Write an expression using addition to find out what the score would be if a player sank 5 baskets and missed 5 baskets.

Answers

Answer/Step-by-step explanation:

A. (7 x 10) = 70

(3 x -15) = -45

70 + -45 = 25

B. (2 x 10) = 20

(8 x -15) = -120

20 + - 120 = - 100

C. (5 x 10) + ( 5 x -15) or 5 x (10 + -15)

5 x 10 = 50

5 x -15 = -75

50 + -75 = -25

Can someone please put these in order from least to greatest? Thanks
12x+6y=18
-0.5
12x+1.75
4

Answers

Answer:

Luna wanna play among us with me (sorry I’m bored) the code is: PXQMKF

Step-by-step explanation:

Which of the following functions is graphed below

Answers

Answer:

Step-by-step explanation:

Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well

Answers

Answer:

3) 46 5) 19.5 6) 31.2

Step-by-step explanation:

all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5

can someone please help :/ the people in my group are being mean,, ill mark you brainlest

Answers

you’re correct. its 6.25 oz, and bleep the people in ur group man

Answer: 6.25 ounces. You're right

Step-by-step explanation:

43.75 ÷ 7 = 6.25

you can check by multiplying: 7 × 6.25 = 43.75

23.82600 round to three significant figures

Answers

Answer:

23.8 i think

Step-by-step explanation:

Answer:

[tex]23.83[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

According to Maths3000, Rounding to 3 significant figures is probably the most common way of rounding off. Rounding the number off to 3 significant figures means you require 3 non-zero digits from the start of the number. So in example 1, 27.1258 gets rounded to 27.1 figures.[tex]--------------------------------------------[/tex]

It is 23.83 because rounding by three significant figures is picking three of the last numbers, and rounding the 4th number. In this case, 6 is more than 5, so 23.82 becomes 23.83

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how many weeks will she have
enough money to buy the bike?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 63, 9, and 198. Let w represent the number of weeks.

Answers

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

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