What is 31/6 as an mixed number

Answers

Answer 1

Answer: To find a mixed number from an improper fraction, you have to find how many times the denominator goes into the numerator (without going over).

6 goes into 31 five times.

The whole number is 5.

There is 1 leftover number, which will be the numerator.
The denominator will stay the same, 6.

$5(1)/(6)$

Answer 2

Answer: 31/6 would turn into 5 1/6

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rug area 122.12 sq ft, the rug is 8.7 ft wide. To the nearest hundredth, how many feet long is the rug?

Answers

Area of a rectangle formula: A=LW

substitute the values in:
122.12=L(8.7)

Solve for L. Divide by 8.7 to isolate L.

L≈14.04 feet

Pedro fills a glass 2/4 full with orange juice write a fraction with a denominator of 6 that is greater than 2/4

Answers

A fraction with the denominator of 6 and is breather than 2/4 would be 5/6 or 4/6

Which of these rectangular prisms has a base area of 40cm2 and a volume of 160cm3?A. Height = 2cm, base length = 10cm, base width = 4cm
B. Height = 4cm, base length = 4cm, base width = 4cm
C. Height = 4cm, base length = 10cm, base width = 4cm
D. Height = 10cm, base length = 4cm, base width = 4cm

Answers

Answer:

C. Height = 4cm, base length = 10cm, base width = 4cm

Step-by-step explanation:

A rectangular prism has

1) Base area $=\text{Base Length}* \text{Base Width}$

2) Volume $= \text{Base area}* \text{Height}$

Consider all options:

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 2=80\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=4* 4=16\ cm^2\neq 40\ cm^2 \n \n\text{Volume}= 16* 4=64\ cm^3\neq 160\ cm^3$

This option is false.

$\text{Base area}=10* 4=40\ cm^2 \n \n\text{Volume}= 40* 4=160\ cm^3$

This option is true.

$\text{Base area}=4* 4=16\ cm^2 \neq 40\ cm^2 \n \n\text{Volume}= 16* 10=160\ cm^3$

This option is false.

Answer:

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm " ⇒ C

Step-by-step explanation:

The formula of the volume of a rectangular prism is V = l × w × h , where l is its length, w is its width and h is its height

∵ The area of the base of the prism is 40 cm²

∵ The its base is shaped a rectangle

∵ Area of a rectangle = l × w

∴ l × w = 40 cm²

∵ The volume of the prism is 160 cm³

- Substitute l × w and the volume in the formula of the volume

∴ 160 = 40 × h

- Divide both sides by 40

∴ 4 = h

∴ The length of the height of the prism is 4 cm

- Lets find which two numbers give a product of 40 to find l and w

∵ 40 = 10 × 4

∴ l = 10 cm and w = 4 cm

The rectangular prism has " Height = 4 cm, base length = 10 cm, base width 4 cm"

I need help asap plzzzzzzz

Answers

Okay, the two values you've got is 2 2/3 and 1 1/4.

Convert both of those values into improper fractions, which is 2 2/3 = 8/3 and
1 1/4 = 5/4

Now, subtract those two values: 8/3 - 5/4, find the lowest common denominator, which is 3*4 = 12...

8/3 - 5/4 = (8*4 - 5*3)/12 = (32 - 15)/12 = 17/12 = 1 5/12

the correct answer is c because if you put them mixed fractions and than dived buy 3/3 and 4/4 than you will get C

I need help with number 1 vocabulary

Answers

Integers are whole numbers, whether they are negative or positive. They cannot be decimals, or fractions.

The numbers listed are 8, -4.1, -9, 1/6, 1.75 and 22.

The only integers are 8, -9, and 22; the other numbers are rational numbers.

Line KN represents a proportional relationship. Point N lies at (18,12), as shown on thegraph below.
NO
NA
2 4 6 8 10 12 14 16 18 20
Which ordered pair could represent the coordinates of point K? (2016)
A. (6,0)
B. (2,3)
C. (1.5, 0)
D. (7.5, 5)

Answers

The coordinates of point K in a proportional relationship, we determine the constant of proportionality and multiply is by the x-value to find the y-value. Option B, (2,3), is the correct coordinate pair.

To find the coordinates of point K, we need to determine the constant of proportionality between the x-values and the y-values.

The constant of proportionality is found by dividing the y-value by the x-value at any point on the line. Here, we can choose point N at (18,12).

So, the constant of proportionality is 12/18 = 2/3. To find the y-value of point K, we can multiply the x-value of K by the constant of proportionality: 2/3 * x = y.

Let's check the options. For option A, (6,0), y = 2/3 * 6 = 4.

However, the y-value of point N is 12, so this option is incorrect. Continuing with the same process for options B, C, and D, we find that the only option that satisfies the proportional relationship is option B, (2,3).

Learn more about Proportional Relationship here:

brainly.com/question/34138295

#SPJ2

Answer:

D or (7.5, 5)

Step by step explanation:

18 = x

12 = y

(18, 12)

18/7.5

= 2.4

12/5