Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?

Answers

Answer 1

The given partial fraction divided by the fraction of sugar in a scoop is

equal to multiplying the partial fraction by the reciprocal of the fraction.

The number of scoops of sugar needed is 10 scoops.

Reasons:

The amount of sugar the recipe Emma is making needs = 2 1/2 cups

Amount of sugar in each scoop of sugar = 1/4 cups

Required:

The amount of scoops Emma needs to add for the entire recipe

Solution:

The amount of sugar needed = 2 1/2 cups

Amount of sugar per scoop = 1/4 cups/scoop

Therefore;

[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]

Which gives;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex]

[tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]

[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]

Therefore;

[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]

The number of scoops she needs for the entire recipe is 10 scoops

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Related Questions

75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school

Answers

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

PLEASE PLEASE HELP IM TIMED!! Just look at the picture

Answers

The first one A 7/2
You can just round up 6.75 -> 7 and 1.67->2
the answer is the first one :) 7/2

I need reassurance that my answer is right. Is this a rotation? :')

Answers

Answer:

Yes, it is a rotation!

Step-by-step explanation:

You know this because the shape rotated. It did not flip, change size, or remain the same.

I hope this helps!

read what on the image then answer

Answers

Fraction 10/12 would be greater than 3/4

pls quick plsssssssss​

Answers

Answer:

[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]

Find the zeros of this polynomial:

p(x)= (x²+4x+3)(x²-4)

Answers

Answer:  -3, -2, -1, 2

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

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

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

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

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

In total, the four roots are:

x = -3x = -2x = -1x = 2

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

how to find the nth term

Answers

Answer:

Write full question

I cannot understand

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?

Answers

Answer:

6.5 x 10^(-7)

Step-by-step explanation:

When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).

Example:

1.3 x 10^2 multiplied by 10

This is the same as 130 multiplied by 10 which is equal to 1300.

1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.

A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?

Answers

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

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

Work Shown:

A = number of seats in section AB = number of seats in section BC = number of seats in section C

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

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

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

The three solids below have the same height. The cross-sections of the parallel planes have equal areas,
Which solid has the greatest volume?

Answers

It should be noted that all the solids have the same volume.

What is volume?

Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.

Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.

Learn more about volume on

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if f(x)=4(3x-5), find f^-1(x)

Answers

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue

Answers

The probability of picking a marble that is not blue is 5/6

The proportions of the balls are given as:

[tex]Red = \frac 12[/tex]

[tex]White = \frac 13[/tex]

[tex]Blue = 6[/tex]

The probability of picking a ball that is not blue is:

[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]

So, we have:

[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]

Rewrite the fractions as equivalent fractions

[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]

Take LCM

[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]

Add 3 and 2

[tex]P(Not\ Blue) = \frac {5}6[/tex]

Hence, the probability of picking a marble that is not blue is 5/6

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The area of the triangle below is 5.52 square feet.
What is the length of the base?

Answers

Answer:

  4.6 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Fill in the given values and solve for the base.

  5.52 = 1/2b(2.4)

  5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b

The base is 4.6 feet.

A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.

Answers

Min. Photos
2. 8
4. 16
8. 24
…. ….

I think this is what your asking. Hope this helps!

For every two minutes you +8 to the amount of photos you have. And if you only by one minute you +4 to the amount of photos you have.

what is the following product 3 sqrt 4 times sqrt 3

Answers

Answer:

c on edge YW

Step-by-step explanation:

The value of ∛4 × √3 is 2.75 or  [tex]\sqrt[6]{432}[/tex].

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given;

Expression,

product 3 sqrt 4 times sqrt 3.

In numerator form:

As per the given expression,

∛4 × √3

Simplifying,

∛4 × √3

= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]

= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]

= [tex]\sqrt[6]{16 + 27}[/tex]

= [tex]\sqrt[6]{432}[/tex]

= 2.749

= 2.75

Therefore, the product is 2.75 or  [tex]\sqrt[6]{432}[/tex].

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Which diagram is not a function please a need explanation

Answers

because 3 because an input cannot be in 2 different outputs at the same time

Answer:3

Step-by-step explanation:

It is because the letters in diagram A cannot go to 2 seperate numbers in diagram B


Figure A is a scale image of figure B.

Pls help!!!

Answers

x = 5.25

since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25

hope this is helpful!

Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.

Answers

The answer is: 2/5

Explanation:

15 - 9 = 6

6/15 (the remainder) is reduced to 2/5.

A student's bank account is represented in the table shown.

1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.

2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).

3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.

4. Use the model to approximate how long it would take to have $50.00 in the account.

Answers

The desmos link is in the reply section below...

1.) y = 1.56x + 1.29

2.) the slope is 1.56

As the weeks are increasing, the student's balance is growing about 1.56 per week.

3.) y = 24.69

4.) 50 = 1.56x + 1.29

50 - 1.29 = 1.56x + 1.29 - 1.29

48.71 =1.56x

48.71 / 1.56

31.2

Which of the following tables represents a function?
X 6 6 7 7
y 2 -2 3-3
x 2-2 3-3
y 5 5 7 7
x 3 -3 3-3
y 6 7 8 9
X 4 4 5 5
y 1 2 3 4

Answers

Answer:

The second one:

x 2-2 3-3

y 5 5 7 7

Step-by-step explanation:

Each domain value or x can only have one range, y, so, with that said, the second one is the answer.

factor the expression 14x - 21 using the GCF

Answers

you have to factor out the 7 because it goes into both 14 and 21. then you put the quotients from dividing into parentheses.

x-2/7=8

Give your answer in improper fraction

Answers

The answer is 8 2/7

A baker displays 72 muffins on 8 identical trays.

How many trays does the baker need to display 54 muffins?

Enter your answer in the box.

Answers

Answer=6

Explanation=72 divided by 8=9. 54 divided by 9=6

Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.

Answers

Using exponential functions, it is found that a = 1.5 would cause the function to stretch.

The exponential function given is:

[tex]y = \left(\frac{1}{3}\right)^x[/tex]

If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.

Hence, a = 1.5 would cause the function to stretch.

For more on exponential functions, you can check https://brainly.com/question/17403806

Answer:

1.5 is the value of a in the exponential function below would cause the function to stretch

Convert ratio to fraction simplified. 25:45

Answers

Answer here:
Hope this helps!:)
That ratio simplified to fraction form is 5/9. Why is this? Because 25 and 45 are both divisible by 5, and when you divide 25/5, you get 5. And when you divide 45/5, you get 9

Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?

Answers

Given that the total amount of land in acres is 538

The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres

Mathematically we have

538/34 = 15.823

But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15

Learn more about division of numbers:

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What is the value of -2

Answers

Answer:

11

Step-by-step explanation:

-2 lies in the second range that begins with -2 and ends with 8

What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail

Answers

Answer:

A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.

Step-by-step explanation:

i have linked 1 picture of a ratio table example

hope this helped

solving system by elimination
show your work
-3x - 5y = -7
-4x + 5y = 14

Answers

Answer:x=-1, y=2

Step-by-step explanation:

Summing these equations, we will obtain,

-7x =7

Therefore, x=-1

If we put x in the first equation,

(-3*-1)-5y=-7

3-5y=-7

-5y=-10

y=2

Answer:

x=-1, y=1

Step-by-step explanation:

-3x-5y=-7

-4x+5y=14

-7x=7

x=-1

-3x-5y=-7

-3(-1)-5y=-7

3-5y=-7

-5y=-10

y=2

will give brainliest
Evaluate.

(−16+0.6(−13)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

-45.6 is the answer if you evaluate
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