Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100

Answers

Answer 1

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

Answer 2

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

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Related Questions

In which quadrant is the coordinate pair (-11, 1) located?
A. IV
b. I
c. II
d. III

Answers

The coordinate pair (-11, 1) is located on quadrant II

Victoria is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. It is known that the total charge to use a computer for 5 minutes would be $6 and that the additional rate per minute of use is $0.60. Write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.

Answers

           

Step-by-step explanation:

Given that the initial charge/fee for the first 5 minutes is $6

and also the additional rate per minutes is $0.6

we can model the total charges after the equation of a straight

that y= mx+c

now using the required notation

C= 0.6t+ 6

comparing this with the equation of a straight line

the constant term c is $6 flat rate for the first 5 minutes

the gradient 0.6 is m

the dependent variable x is t

and the cost C is y  

Answer:

i believe its c=0.60t+3

Step-by-step explanation:

Show how you would set up and equation to solve for x. Then use your answer for x to find the measure of each angle! Rest is in pic

Answers

I hope this helps. If you have any questions as to why they equal each other or why we used 180 just ask

AE, DBG and CF are parallel. DA = DB = DC. Angle EAB = angle BCF = 38° what is x

Answers

Solution:

angle DBC = 38° ( Alternate Interior Angles )

angle ABD = 38° ( Alternate Interior Angles )

2 (angle ADC) = angle ABC

or, 2 (angle ADC) = 38° + 38°

or, 2 (angle ADC) = 76°

or, angle ADC = 76/2 = 38°

Answer:

x = 38°

Please help .
77 is written as the product of two prime numbers 7 × 11. Can 702 be written as the product of two prime numbers? If not, why?​

Answers

702 can not be written as the product of 2 prime numbers, because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore 702 is a prime number.

WILL GIVE BRAINLIEST!!!
1. 3a -4a -5a
2. -7a + a - 2a
3. - 8a + 4a -a
4. -2a -2a + 3a
5. -2a + 2a - 3a
6. -6a + 3b - 4c -8 + a -3b -4c + 4

Answers

Answer:

1. -6a

2. -8a

3. -5a

4. -a

5. -3a

6. -6a -8c -4

Step-by-step explanation:

All you need to do is combine like terms

Mitch lives on the 20th floor of an apartment building. Every time he leaves, he rides a self-service elevator from the 20th floor to the street; but every time he returns, he rides the same self-service elevator only to the 15th floor, where he leaves the elevator and walks up the remaining five flights of stairs. What is happening? Why does he do that?

Answers

Answer:

He does that because he is short and his hand can't reach the 20th floor button

Step-by-step explanation:

Mitch does that simply because he is short.

When he is leaving, he doesn't need to reach the 20th floor button because the button is way taller than the reach of his hands whereas when he is returning he has to reach the 20th floor button but his hand can only reach the 15th floor button. Thus, he gets to the 15th floor and walks up the remaining 5 flights.

Help please I don’t understand

Answers

what part are you talking about

!!25 POINTS!!
Name Y Z two other ways.

Answers

Answer:

Step-by-step explanation:

would it be C.

Y, Z

(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions

Answers

Answer:

18

-9

30

Step-by-step explanation:

did on edge :)

Answer:

Evaluate the following numerical expressions.

6 + 3 • 4 =  18

(6 + 3) ÷ (4 – 5) = -9

6 + 23 • 3 = 30

Step-by-step explanation:

i took the test

Diego says the constant of proportionality is 550 Andrew say is the constant of proportionality is 9 1/6 do you agree with either of them explain your reason

Answers

Answer:

The question is incomplete. The complete question is :

A plane traveling at a constant speed flew over Pittsburgh, Saint Louis, Albuquerque, and Phoenix on its way from New York to San Diego.

Complete the table as you answer the questions. Be prepared to explain your reasoning.

       segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                    550 miles  

Saint Louis to Albuquerque 1 hour 42 minutes  

Albuquerque to Phoenix                             330 miles  

Step-by-step explanation:

We can complete the table as :

  segment                              time                     distance        speed

Pittsburgh to Saint Louis    1 hour                   550 miles   550 miles/hour

Saint Louis to Albuquerque 1 hour 42 minutes    93.5 miles 550 miles/hour

Albuquerque to Phoenix   3/5 hour           330 miles 550 miles/hour

Since it is given in the question that the plane is flying in a constant speed from one place top another place.

So, it is maintaining the same speed to cover different distances for different time.

Thus the constant of proportionality is 550.

Point A is located at coordinates (-4,3). What are the new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation?

Answers

Answer:

See below

Step-by-step explanation:

Point A (-4,3)

Point A is in quad 2

So, . . . Point A' will be in quad 4 (+,-)

Therefore, you switch the signs.

Point A' (4,-3)

The new position of the point (-4,3) will be (4,-3) after rotation.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. An object is rotated by turning it around the center of rotation, which is a point.

Given that point A is located at coordinates (-4,3). The new coordinates of A' after a rotation of 180 degrees using (0,0) as the center of rotation.

As it is given point A is rotated about the origin at 180 degrees. Then the new coordinates of the points will be at the same magnitude but with the opposite sign.

Point A (-4,3)

Point A' will be in quadrant 4 ( +,- )

Point A' = ( 4, -3).

Therefore, the new position of the point (-4,3) will be (4,-3) after rotation.

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−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

Add 9 to both sides of the equation.

p=12r+9

Step-by-step explanation:

The answer is 21.

Have a good day!

What’s the product of 728x32

Answers

Answer:

23296

Step-by-step explanation:

You will know this if you use box method or using standard form its pretty much simple multiplication

A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.

Answers

Answer:

[tex]MP= (-5,7.5 )[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )[/tex] -7+-3= -10   6+9=15

[tex]MP= (\frac{-10}{2} )(\frac{15}{2} )[/tex] -10/2=-5 15/2=7.5

[tex]MP= (-5,7.5)[/tex]

1. If an equation contains decimals, what is the first step
you can perform to eliminate the decimals?

Answers

Answer:

Multiply by a power of 10

Step-by-step explanation:

By multiplying a power of ten, it will make the decimals whole numbers.

For example: 0.75*10=75

0.0075*10000

To eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

What is decimal?

In Algebra, a decimal is a type of number with a whole integer and a fractional part separated by a decimal point. The dot that appears between the entire number and the fractions part is the decimal point. 24.589, for example, is a decimal number. The whole number part is 24 and the fractional part is 589. The decimal point is ".".

How to solve this problem?

If an equation contains decimals, then we have to check how many numbers are there in the fractions section. If there are 3 numbers like 24.589, to eliminate decimals we have to multiply 24.589 by 10³ to get a whole number [ Since 24.589×10³ = (24589/1000)× 1000 = 24589].

Therefore, to eliminate the decimals, the first step we can perform is to multiply the decimal by a power of 10. If there are n numbers after the decimal point, then we will multiply the decimal by 10ⁿ.

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Tell me the linear equation for point-slope form?

Answers

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept)

A farmer plants 0.6 of a field with peanuts. The field is 5.6 acres in size. How many acres are planted with peanuts?

Answers

Answer:

3.36 acres

Step-by-step explanation:

2 Truths & One Lie

- 39 - b = - 3

1. The Variable is B in this Equation
2. b = -36
3. b = 36

Which one is a Lie?

Justify your decision.

WILL GIVE 20 POINTS!!

Answers

Answer:

b = 36 is the lie.

Step by step:

If we plug in b with it equaling -36 the equation will be

-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get

-39 + 36 = -3

In the end b = -3

So the other one must be wrong, but just incase we will plug it in.

-36 - 36 = 0

Plugging in 36 for b results in 0 which is not correct.

At a supermarket, a 6-ounce bottle of
Usalad dressing costs $1.56. A 14-ounce bottle costs $3.36. A 20-ounce
bottle costs $5.60. Which bottle has the lowest cost per ounce?
MP.1

Answers

Answer:

The 14 oz bottle has the lowest cost per ounce.

Step-by-step explanation:

$3.36/14

Help, please, I’m so confused

Answers

Answer:

Uhhh just do all the process corectly :)

Answer:

See Explanation

Step-by-step explanation:

While multiplying exponents with the same bases, we add the exponents.

Formula:

[tex] \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\[/tex]

SOLUTION:

[tex] \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} [/tex]

. Rahul has 260 coins of Rs. 1, Rs.2 and Rs.5 altogether. The total value of the money is Rs.309. The number of Rs.2 coins is three times the number of Rs.5 coins. Find the number of coins of each type.

Answers

coin of 5 = 20 coins

coin of 2 = 60 coins

coin of 1 = 80 coins


let the number of coin 5 = Rs.x

so the number of coin 2 = 3x

the number of coin 1 = 160 - 4x

so the amount of rs.5 = 5x

the amount of rs.2 = 6x

a/q

5x + 6x + 160 - 4x = 300

7x = 300 - 160

7x = 140

x = 20

Solve: 2/x + 3/2x - 1/2 = 2/3

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]

. A certain tap can fill a tank in 4 hours and
another tap can fill it in 6 hours. If both the taps
are opened, how long will it take for the tank to
be full?​

Answers

Answer:

Given -

Time taken by first tap = 4 hours.Time taken by second tap = 6 hours.

Now, we'll calculate the work done by both the taps -

[tex] \\ \sf \: \frac{1}{4} + \frac{1}{6} \\ \\ \\ \bf \: lcm \: \: of \: \: 4 \: \: \& \: \: 6 = 12 \\ \\ \\ \implies \sf \: \frac{3 + 2}{12} \\ \\ \\ \implies \sf \frac{5}{12} \\ \\ [/tex]

Now, reciprocal it -

[tex] \\ \implies \sf \frac{12}{5} = 2 \frac{2}{5} \\ [/tex]

Therefore, time taken by both the taps will be 2 2/5 hours.

Which equation correctly represents how this area model should be used? A) 500 + 140 + 160 + 50 = 850 B) 500 + 140 + 160 + 160 = 960 C) 600 + 160 + 150 + 40 = 950 D) 600 + 160 + 60 + 40 = 860 i neeeddd hhhhellllppppp

Answers

Answer:

Step-by-step explanation:

Solve for x : x/8 = 8
Quickly !

Answers

The answer is [tex]x=64[/tex]

The first and last step is to multiply both sides by 8

[tex](\frac{x}{8} )(8)=8*8[/tex]

Multiplying [tex]\frac{x}{8}[/tex] by [tex]8[/tex] makes x by itself and 8*8 is 64

[tex]x=64[/tex]

2x + 6 = 2(x+3)

A x=0
B no solution
C infinite many solutions

Answers

Step-by-step explanation:

2x + 6=2(x+3)

2x+6=2x+6

4x=0

x=0/4

No answer/no solution

2x + 6 = 2(x+3)

2x + 6 =2x+6

2x-2x=6-6

x=0

I guess I was help full for u

Between which two integers does -13/3 lie?
A -3 and 4
B -2 and -3
C -5 and 6
D -4 and -5​

Answers

Answer:

-4 and -5

Step-by-step explanation:

- 13/3 is equal to -4.3 so this is why i think this but it maybe wrong.

If these numbers represent temperatures in degrees Celsius, the coldest is
?
7, -3, 1/2, -0.8, 0.8,
-2,-1/10

Answers

Answer:

-3

Step-by-step explanation:

it is the smallest number on a number line which is kind of what a thermometer is

Answer:

It is -3 because I took the assignment test.

Step-by-step explanation:

The person who answered the question before me is correct.

The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine which submarine has the greater range of depths.

Submarine A Submarine B
Minimum Depth −146 ft −194 ft
Maximum Depth −532 ft −621 ft

Answers

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

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