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:

B

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.

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

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

Please help me with this it’s 8 grade

Answers

Answer:

The correct answer is option B.

Step-by-step explanation:

Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.

Hey the answer is number B and I really need some points so if you be so kind, please mark me as brainliest because I’m rushing to find the answer to my own question by sending out like 100 of the same question, and I need points.

Write the equation of the line

Answers

Answer:

The equation of the line is

[tex]y = \frac{1}{3}x - 2[/tex]

Step-by-step explanation:

Remember:

[tex]slope = \frac{rise}{run} [/tex]

Mrs. Villa bought 2 packages of buttons. Each package had a different number of buttons. The table lists the number of buttons of each color in each package.​

Answers

Answer:

B

Step-by-step explanation:

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True

What is probability ?

Probability means chances of  an event to occur .

Probability = favourable outcome /the total number of possible outcomes.

Total button in package L= 50

Total button in package M= 30

(a)

Probability of selecting green or black button from package L= (8+7)/50

=15/50=3/10

Probability of selecting red  button from package M=9/30 = 3/10

Hence statement is true

(b)

Probability of selecting black button from package L= 7/50

Probability of selecting black button from package L=8/50

Hence statement is false

(c)

Probability of selecting red button from package L=12/50=6/25

Probability of selecting green button from package M=6/30=1/5

Hence statement is false

(d) Probability of selecting yellow button from package L=10/50=1/5

Probability of selecting yellow or green button from package M=9/30=3/10

Hence statement is false .

By applying basic formula of probability we got that statement  "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .

To learn more about probability visit : brainly.com/question/24756209

How to solve stacked similar figures

Answers

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.

A store had 5 packs of paper for $7.80. How much would it cost if you were to buy 3 packs

$1.56
$2.19
$7.80
$4.68

Answers

to buy 3 packs, the cost would be $4.68

PLEASE HELP ASAP!!!!!!!!

Answers

Hello i hope this helps but the answer would be D

BRAINLIEST !!! 14. Find the length of the midsegment (NOT X)
88+40
16x
7

Answers

Answer:

Step-by-step explanation:

The length of the midsegment is  half of the base in this case.

12x = 8x + 40

4x=40

x=10

So it's 60

Answer:

60

Step-by-step explanation:

Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?

Answers

Answer:

She needs to order 6 pizzas.

Step-by-step explanation:

(My bad I thought it was one pizza that fed 4 people not two)

Answer:

6 pizzas

Step-by-step explanation:

2pizza=4 people

12/4=3

3*2=6

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

Answers

Answer:

$51

Step-by-step explanation:

Answer: $51

Step-by-step explanation: you have to divide $68 by 16 to see how much it cost per square feet. Then you get 4.25 so you multiple that by 12

What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 25.
B. The number of multiple-choice question points plus the number
of short-answer question points is 25.
C. The number of multiple-choice question points times the number
of short-answer question points is 80.
D. The number of multiple-choice question points plus the number of
short-answer question points is 80.

Answers

Answer:

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

Step-by-step explanation:

Given that:

Points worth of test = 80 points

There are Multiple choice questions worth 2 points and short answer questions worth 4 points.

2x+4y=80

Thus,

The number of multiple choice questions points plus the number of short answer question points is 80.

Hence,

Option D: The number of multiple-choice question points plus the number of  short-answer question points is 80 is the correct answer.

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?

Answers

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}

Answers

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

A garden has the dimensions of 5x4 in feet. The gardener wants to expand her garden to 56 square feet. She wants to add the same distance (x) to each side. What is the value of x. Must show work for credit. *

Answers

Answer:

2 feet

Step-by-step explanation:

If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.

7 * 6 = 56 square feet

This means that we would be adding 2 feet to each side.

WILL GIVE BRAINLIEST


Quadrilaterals PQRS and TUVW are similar

What is the value of b in yards?

O 0.5 yd
0 3.2 yd
O 12.5 yd
0 28.8 yd

Answers

Answer:

3.2

Step-by-step explanation:

depending on what W-T looks like it seems the best answer

♡ The Question ♡      

Quadrilaterals PQRS and TUVW are similar.  

What is the value of b in yards?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

3.2 yd!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

-10x + 10x + 5x + 5 = 5
solve for x

Answers

Answer:

x = 0

Step-by-step explanation:

-10x + 10x + 5x + 5 = 5

5x + 5= 5

5x = 0

x = 0

To change the 0.32 into percentage, I need to
Move to dot to the right once
Move to dot to the left twice
Move to dot to the left once
Move to dot to the right twice

Answers

move the dot twice to the right

Simplify completely 4m^3 over 3m^2n X 9n^2 over 30m^2n^2

Answers

Answer:

The answer is  2/405Xmn with an exponent of 5 at the end

Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

Answers

Answer:

y= 1/2x + 6

Step-by-step explanation:

when making a perpendicular equation, flip the slope.

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope of the perpendicular line will have the complete opposite slope.

The perpendicular slope is 1/2x.

To get the slope I just got the opposite sign and reciprocal of -2.

NOW plug in (-4,2) to find the y-intercept

2 = 1/2(-4) + b (b represents y-intercept)

2 = -2 + b (add 2 on both sides)

4 = b

y = 1/2x + 4 is the final equation

HOPE THIS HELPS!!


Please I need someone to answer this !

Answers

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

ANSWER THIS PLSSSS ASAPPPPP

Answers

Answer:

3rd choice (1, -6)

Step-by-step explanation:

plz, answer the question in the photo.

Answers

Answer:

2 1/4

Step-by-step explanation:

hope this helps

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

Answer:

By using the Pythagorean theorem we can solve this

The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side

Therefore,

[tex]25^2=24^2+x^2[/tex]

[tex]625=576+x^2[/tex]

[tex]625-576=576-576+x^2[/tex]

[tex]49=x^2[/tex]

[tex]x=7[/tex]

Step-by-step explanation:

I’m doing percent equation and the question is blank % of $50 = $35 help me plzzz

Answers

70%

50 * x = 35

x= 35/50

x=0.7

x=70%

1/3 as a number is wat thanks and have a good day aight

Answers

0.33... (it goes on forever)

solve pls will give brainliest

Answers

Its 24

I think all you have to do is just add 16 plus 8 to that question

pls help!!!
A diagram using arrows to show how to get from one statement to the next is called a _________.

Answers

Step-by-step explanation:

an arrows digram also known as an activity networkchart he

Answer:

auxiliary line

Step-by-step explanation:

Which of the following pairs of points are on the same horizontal line?

A(–2, –2) and (2, 2)
B(–2, 2) and (–2, –2)
C(–2, –2) and (2, –2)
D(2, –2) and (2, 2)

Answers

Answer:

d answer is right .....

the answer is A.

(-2, -2) and (2,2)

HELP ME! 7th grade
Due todayyyy

Answers

Answer:

it has to do with math i think

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Since there is 4 and 1/3 you go 4 and the three lines in between the numbers, you go 1 so 4 and one line in between

Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19​

Answers

1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)

if henry has 8 apples , and josh ate 5 . how many apples does henry have?

Answers

Answer:

Henry has 3 apples

Step-by-step explanation:

Other Questions
same question again. ugh WHICH senctence from the passage uses hyperbole to persuade readers?A) Electoral College is a body of electors selected by the people in each state to officially choose the next presidentB) Every four years, millions of people head to the polls on election Dat to vote for a new presidentc) In this day and age, however, polling places are practically in the next room for most peopleD) A long time ago, Americans were scattered far and wide about the countryE) The number of members each state has in the electoral college depends on its population How did German and British soldiers interact during the Christmas Truce? WE THE PEOPLE 1. NO ILLEGAL 2.PERSON BORN IN THE UNITED STATES 3. ONLY CITIZENS 4. EVERY PERSON IN THE UNITED STATES which expression is equivalent to -1.3 - (1.9)? Find the slope of UV.*S(1, 4)4T(5, 3)V-1, 2)U(3, 1)-2.N.46 x find the slope of the line passing through each pair of points. if the slope is undefined, write undefined. (5,9) and (5,-3) Complete the explanation of whether the graph represents a proportional or a nonproportional linear relationship find the midpoint of the segment with the following endpoints. (8,10) and (1,4) ? Which inequality correctly compares Three-fourths, One-seventh, and Five-sixths? One-seventh < Three-fourths < Five-sixths One-seventh < Five-sixths < Three-fourths Three-fourths < Five-sixths < One-seventh Three-fourths < One-seventh < Five-sixths Matter can exist in hw many states I WILL MARK BRAINLIESTWhich three of the following elements are characteristics of persuasive writing? The writer uses logic and reason when presenting an idea. The writer tells a narrative story to entertain readers. The writer takes a position for or against an issue. The writer provides solid evidence to support an argument. The writer informs and educates readers about a specific topic. Which part of the plotstructure does the followingsection of Stephen Crane's "AGreat Mistake" fall under?When he gazed at this Italian seated amid such splendid treasures, his lower lip hung low and his eyes raised to the vendors face were filled with deep respect, worship, as if he saw omnipotence. a: exposition b: rising action c: failing action omg pls help its proving the sum of the interior angle measures of a triangle is 180 The bond between Hydrogen and Chlorine would be ??? 17 Which changes decrease the rate of reaction between magnesium and air?1.heating the magnesium to a higher temperature2.using a higher proportion of oxygen in the air3.using magnesium ribbon instead of powdered magnesiumA 1, 2 and 3B 1 onlyC 2 onlyD 3 only After 4 hours, the number 2 is used as a factor ? Times For each codon, find the correct tRNA anticodon and drag it to the ribosome. Start with the AUG codonin the ribosome. Find and drag its match, the UAC anticodon, to it. Also, record this pair and theassociated amino acid, Met, to complete the first row of the data table.PLEASE HELP I DONT KNOW HOW TO DO THIS AT ALL F(x)=43 f(x)=-6+7 Not sure how to get the answer wondering if someone can break it down for me please Steelhead trout migrate upriver to spawn. Occasionally they need to leap up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. What is the maximum height that a steelhead can jump