I an confused on how to get to 6 cups

Answers

Answer 1

Answer:

let's firstly convert the mixed fractions to improper fractions.

$\stackrel{mixed}{2(1)/(4)}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}}~\hfill \stackrel{mixed}{1(1)/(2)} \implies \cfrac{1\cdot 2+1}{2} \implies \stackrel{improper}{\cfrac{3}{2}} \n\n[-0.35em] ~\dotfill$

$\begin{array}{ccll} \stackrel{popcorn}{cups}&\stackrel{tspoons}{kernel}\n \cline{1-2} (9)/(4)&(3)/(2)\n[1em] 6&x \end{array}\implies \cfrac{~~ ( 9 )/( 4 ) ~~}{6}~~ = ~~\cfrac{~~ ( 3 )/( 2 ) ~~}{x}\implies \cfrac{~~ ( 9 )/( 4 ) ~~}{(6)/(1)}~~ = ~~\cfrac{~~ ( 3 )/( 2 ) ~~}{(x)/(1)} \n\n\n \cfrac{9}{4}\cdot \cfrac{1}{6}=\cfrac{3}{2}\cdot \cfrac{1}{x}\implies \cfrac{9}{24}=\cfrac{3}{2x}\implies \cfrac{3}{8}=\cfrac{3}{2x} \n\n\n 6x=24\implies x=\cfrac{24}{6}\implies \boxed{x=4}$

Answer 2

Answer:

Answer: 4 tablespoons of kernels.

Step-by-step explanation: Use proportions, so (1 1/2)/(2 1/4) = x/6.

You would do (1 1/2) * 6 = 9 (or 3/2 * 6). And then 9 / (2 1/4) (or 9 * 4/9 because of keep change flip) and get 4. 36/9 = 4.

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Explain how you know whether to add or subtract when you use the distributive property to multiply

Answers

Distributive property of multiplication has two expressions:

1. $a\cdot (b+c)=a\cdot b+a\cdot c$

2. $a\cdot (b-c)=a\cdot b-a\cdot c$

If you use these formulas from the left side to the right side, you should see for the sign in the brackets: "+" - use addition, "-" - use subtraction. If you use these formulas from the right side to the left side, you should also take into account sign between $a\cdot b$ and $a\cdot c$ : for "+" - use addition in brackets and for "-" - use subtraction in brackets.

The correct answer is:

We treat the addition or subtraction signs inside the parentheses as positive and negative signs and follow our integer rules.

Explanation:

Take for example -3(x+y). The distributive property tells us to take -3*x + -3*y; we have a positive multiplied by a negative, which is a negative, and another positive multiplied by a negative, which is again a negative. This gives us -3x+-3y, or -3x-3y.

If we consider the sign of the value outside the parentheses as well as the signs of those inside, we can be sure to use the write operation sign.

There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? Please show work

Answers

There are 25 students performing in the holiday concert. Of the students, 11 are boys. The percentage of students that are boys are 44%

From the given information;

In a holiday concert, there are 25 students participating actively in it.

If 25 students are equivalent to 100 percent;

The percentage for one student will be:

$\mathbf{= (1 \ student * 100 \%)/(25 \ students)}$

= 4%

The percentage of 1 student = 4%.

Now, of the students, 11 are boys and we are to determine the percentage of students that are boys:

∴

The number of students that are boys = 11 × 4%

= 44%

Therefore, we can conclude that the number of students that are boys is 44%.

Learn more about percentage here:

brainly.com/question/2155156?referrer=searchResults

Total students = 25

Boys = 11

Girls = 25-11 = 14

To find the percent of boys, you need to do:

11/25 * 100

1100/25 = 44

Therefore, 44% of boys are there in class.

At Roberts Middle school 11/30 of the books in the library were more than 50 years old. At the end of the year 1/10 of those books were given to charity.What fraction of all the books was given to charity?

Answers

Solution:
$( (11)/(30) )( (1)/(10) ) = (11)/(300)$

Need help with these questions. Simplify them. Simplify.

|–10 – 3| =

Which set of numbers is ordered from least to greatest?

A.
{0.4, 2.3, –1.1, –2, –3.1}

B.
{2.3, 0.4, –1.1, –2, –3.1}

C.
{–3.1, –2, –1.1, 2.3, 0.4}

D.
{–3.1, –2, –1.1, 0.4, 2.3}

What is the middle number when the numbers {5.1, –3.6, 0, –2, –1.1} are ordered from least to greatest?

Answers

|-10 - 3|

Subtract.

|-13|

Simplify:

13

The 'bigger' the negative numbers look, the smaller they are.

Therefore, Option D is correct.

5.1, -3.6, 0, -2, -1.1

Arrange from least to greatest:

-3.6, -2, -1.1, 0, 5.1

So the middle number is -1.1.

Is 3/10 closer to 0,1/2 or 1

Answers

Yes, the fraction 3/10 is closer to the fraction 1/2.

How to compare to decimals?

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

The given fraction is 3/10.

The decimal form of 3/10 is 0.3.

Comparing 0.3 with 0, 1/2 =0.5 and 1, we get

0.3 is closer to 0.5.

Yes, the fraction 3/10 is closer to the fraction 1/2.

To learn more about the comparison of decimals visit:

brainly.com/question/18270620.

#SPJ2

3/10 would be 30%.

0 is 0%.

1/2 is 50%.

1 is 100%

30 is 30 away from 0, 20 away from 50, and 70 away from 100.

20 is the lowest number so 3/10 is closest to 1/2.

Which is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?

Answers

Answer:

An equivalent form of the compound inequality is the pair of single inequalities:

-2x - 8 < - 44, and
−2x − 8 ≥ −8

Explanation:

You can split the compound inequality into two equivalent inequalities by taking each side from the variable.

The compound inequality −44 > −2x − 8 ≥ −8 means that two conditions must be satisfied:

1. From the left side: - 44 > - 2x - 8

2. From the right side: −2x − 8 ≥ −8

Then, as a first approach you can tell that an equivalent form of the compound inequality is the pair of single inequalities:

-44 > -2x - 8, and
−2x − 8 ≥ −8

You should put the variable on the left sides, which will yield the best form of an equivalent pair of inequalitis.

- 2x - 8 < -44, and
- 2x - 8 ≥ - 8

That is the best choice of an equivalent form, and from there you can solve the inequalities which will permit to obtain the solution. Of course, you can manipulate the variable and find many other equivalent forms.

Notice, that both inequalities must be satisfied simultaneously.

This is how you solve that system