Find the exact values of the following, giving your answers as fractions

Answer:

x=4

Step-by-step explanation:

35/5=7

so, 2x-1=7

1+7=8

8/2=4

Answer:

The container holds 4.5 cups of yogurt

Step-by-step explanation:

Here, given the number of ounces of yogurt in a container, we want to calculate the number of cups the container can hold

Mathematically, we need a conversion factor

1 cup contains 8 ounces

but here

x cups contains 36 ounces

8 * x= 36 * 1

8x = 36

x = 36/8

x = 4.5

Answer:

A. [tex]\frac{4}{5}y^{2}+\frac{5}{6}y^7[/tex]

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Answer:

x^3/15 - 24x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer to your question. is c

Answer:

Here you go

Step-by-step explanation:

Answer:

im really sorry if this is wrong, but my only thing i can think of is 12.5

Step-by-step explanation:

Answer:

area of square=368.64

l²=368.64

l=19.2

perimeter =4l

4×19.2

so the ans is 76.8

Answer:

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]

Step-by-step explanation:

Given

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} =[/tex]

Required

Solve

Start by converting the mixed number to improper fraction

[tex]\dfrac{-2}{3} \div \dfrac{9}{4} =[/tex]

Convert the division to muliplication

[tex]\dfrac{-2}{3} * \dfrac{4}{9} =[/tex]

[tex]\dfrac{-2*4}{3*9}=[/tex]

[tex]\dfrac{-8}{27}[/tex]

Hence:

[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]

Answer:

No

Step-by-step explanation:

It is an infinite decimal. Rational numbers in decimal form stop eventually, and can be written as fractions.

Example: 5 is a rational number because it can be written as 5/1

Answer:

The answers and steps are in the picture

Answer:

C. 1/4

Step-by-step explanation:

Since John has given 2/3 of his pencils to Roy, he has 1/3 of the total left. To find 1/4 of 1/3, multiply the numbers. 1/4(1/3) = 1/12. This means that he gave 1/12 of the beginning total to Maria. 2/3 can also be written as 8/12, and 1 can be written as 12/12. 12/12 - 8/12 = 4/12, and then 4/12 - 1/12 = 3/12. 3/12 can be simplified into 1/4

Answer:

John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

Step-by-step explanation:

Let 'p' be the total number of pencils

Given that John gives 2/3 of his pencils = 2/3 of p

                                                                   = 2/3 × p

                                                                    = 2/3 p

Pencils left:

[tex]p-\frac{2}{3}p[/tex]

Factor out common term p

[tex]p-\frac{2}{3}p=p\left(1-\frac{2}{3}\right)[/tex]

           [tex]=\frac{1}{3}p[/tex]

           [tex]=\frac{p}{3}[/tex]

Pencils John gave to Maria = 1/4 × p/3 = p/12

The remaining Pencils in terms of 'p' = [tex]\frac{p}{3}-\frac{p}{12}[/tex]

                                                              [tex]=\frac{3p}{12}[/tex]

                                                              [tex]=\frac{p}{4}[/tex]

Thus, John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

Answer:

if this work mark brainliest

Answer:

. Verify experimentally that if two sides of a triangle

are equal, then the angles opposite to them are also

equal. (three triangle required)

Answer:

Step-by-step explanation:

[tex]x^{2}[/tex] + 18x +c = 25+c

[tex]x^{2}[/tex] + 18x +[tex]9^{2}[/tex] =25+[tex]9^{2}[/tex]    (the c just cancels out and add [tex]9^{2}[/tex])

[tex](x+9)^{2}[/tex] -106 = 0

Answer:

I got B or number 2

Step-by-step explanation:

Answer

(5-5)x

Step-by-step explanation:

the rest of the equal -5(x-1) and this one equals 0

so D

Multiplying fractions

Ok, here's an example:

5/10 x 3/10

The numerator is the number on top. The denominator is the number on the bottom.

You multiply the numerators together to get 15.

Then, you multiply the denominators together to get 100.

Once you have 15/100, you would simplify it to get 3/20.

Dividing Fractions

Here's an example:

5/10 divided by 3/10

This is a little different.

Remember this: Keep, change, flip or KCF

So, keep the first fraction 5/10.

Flip the division sign into a multiplication sign.

Then, flip the 3/10 into 10/3

Right now we have 5/10 x 10/3

Now, use what you've learned from multiplying fraction and multiply the numerators together, than the denominators together.

So, you get 50/30.

Then you can simplify it into 5/3.

Hope I helped!

Answer:

a) x = 24

b) x = 20

Step-by-step explanation:

a) x÷3 - 2 = 6

+2 +2

x÷3 = 8

×3 ×3

8 × 3 = 24

x = 24

b) x÷5 + 1 = 5

-1 -1

x÷5 = 4

×5 ×5

4 × 5 = 20

x = 24

Answer:

k = 3.5

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

Using the point (1, 3.5 ), then

k = [tex]\frac{3.5}{1}[/tex] = 3.5

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] for the given proportional relationship is 3.5.

To find the constant of proportionality [tex](\(\frac{y}{x}\))[/tex], we can use the two given points (0, 0) and (1, 3.5) on the graph, which represent the proportional relationship between x and y.

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] is the ratio of y-coordinates to x-coordinates for any pair of corresponding points in a proportional relationship.

Let's calculate it using the points (0, 0) and (1, 3.5):

[tex]\(\frac{y}{x} = \frac{3.5}{1} = 3.5\)[/tex]

So, the constant of proportionality is 3.5.

To know more about proportionality, refer here:

https://brainly.com/question/17793140

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AnswBye

er:

Step-by-step explanation:

Answer:

Thanks

Step-by-step explanation:

Bye:(

Answer:

Step-by-step explanation:

2160 = 2a * 3b * 5

2160/5 =2a*3b

432=6*a*b

432/6 = a*b

72 = a * b

72 = 8 * 9

a=8

b=9

The number 2160 can be expressed as 2a x 3b x 5 , where a = 8 and b = 9

Given data:

To find the values of a and b in the expression 2^a * 3^b * 5,

2160 = 2a * 3b * 5

Divide by 5 on both sides:

2160/5 =2a*3b

432=6*a*b

Divide by 6 on both sides:

432/6 = a*b

72 = a * b

The values of a and b can be determined as:

72 = 8 * 9

a = 8

b = 9

Hence, in the expression 2a x 3b x 5 = 2160, the value of a is 8 and the value of b is 9.

To learn more about equations click :

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9514 1404 393

Answer:

  10.625 seconds

Step-by-step explanation:

distance = speed · time

We want the total of all distances to be zero.

  (-3.5)(90) +(2.2)(120) +(4.8)t = 0

  -315 +264 +4.8t = 0 . . . . . simplify

  -51 +4.8t = 0 . . . . . . . . . . . simplify more

  -10.625 +t = 0 . . . . . . . . . .divide by 4.8

  t = 10.625 . . . . . . . . . . . . . add 10.625

It will take the scientist 10.625 seconds to reach sea level.

Answer:

$184

Step-by-step explanation:

85 + 7 = 92

92 x 2 = 184

Answer:

1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(x + 4)/(3x)

x = 2

Step 2: Evaluate

Discount amount = price x discount percentage as a decimal:

Discount amount = 62.00 x 0.15 = 9.30

Discount = $9.30

Answer:

$52.70

Step-by-step explanation:

This question is incomplete

Complete Question

Three dressers are placed side by side. One dresser is 3 feet 9 inches wide, another is 3 feet 3 inches wide, and the third is 5 feet 11 inches wide. How wide are they combined? Write your answer in feet and inches. Use a number less than for inches

Answer:

12 feet 11 inches

Step-by-step explanation:

To solve the above question, we would have to add up all the width of thee dressers together.

Hence:

3 feet 9 inches + 3 feet 3 inches + 5 feet 11 inches

= (3 feet + 3 feet + 5 feet) + (9 inches + 3 inches + 11 inches)

= 11 feet +( 23 inches)

Note that

12 inches = 1 feet

Hence:

11 feet (23 inches/12 inches)

11 feet (1 feet + 11 inches)

= 12 feet 11 inches.

Therefore, the width of the 3 dressers combined = 12 feet 11 inches

Answer:

2

Step-by-step explanation:

Given:

About 3/5th of the registered voters participated in 2016 election.

California has 25 million registered voters.

To find:

The number of registered voters who participated in 2016 election.

Solution:

We have,

Total number of registered voters = 25 million

According to the question,

[tex]\text{Registered voters who participated}=\dfrac{3}{5}\times \text{Total number of registered voters}[/tex]

Now,

[tex]\text{Registered voters who participated}=\dfrac{3}{5}\times 25[/tex]

[tex]\text{Registered voters who participated}=3\times 5[/tex]

[tex]\text{Registered voters who participated}=15[/tex]

Therefore, there are 15 millions of registered voters who participated in 2016 election.

Answer:

C

Step-by-step explanation:

i used the substitution method to find it out

Answer:

a ≤ 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3(a - 4) ≤ 33

Step 2: Solve for a

Here we see that any value a less than or equal to 15 would work as a solution to the inequality.