MATHEMATICS MIDDLE SCHOOL

On average shawnte drinks 1/2 of a 6-ounce glass of water in 2/3 hour how much watee does she drink in a hour

Answers

Answer 1
Answer:

she drinks 9/2 ounces of water in 1 hour

Step-by-step explanation:

On average, the person drinks 1/2 of a 6-ounce glass of water in 2/3 hour.

First of all, we have to rewrite the amount of water in a single fraction: we have

(1)/(2)\cdot 6 = (6)/(2)=3

This means that the person drinks 3 ounces of water every 2/3 hours.

In order to find how much water she drinks in one hour, we use the following proportion:

(3)/(2/3)=(x)/(1)

where

x is the amount of water she drinks in one hour.

Solving the equation for x,

x=(3\cdot 1)/(2/3)=(3\cdot 1 \cdot 3)/(2)=(9)/(2)

Therefore, she drinks 9/2 ounces of water in 1 hour.

Learn more about fractions:

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The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of x is 3, what is the surface area, in square centimeters of the prism?

Answers

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is 6x^(3) +4x^(2) +12x

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = 6x^(3) +4x^(2) +12x

Surface area of the rectangular prism= 6* 3^(3) +4* 3^(2) +12* 3

∴ Surface area of the rectangular prism= 6* 27+ 4* 9+ 12* 3

Surface area of the rectangular prism= 162+36+36= 234\ cm^(2)

∴ Surface area of the rectangular prism= 234 cm²

Solve the exponential equation for x. 625 = 5 (7x-3)A. x = 1
B. x = -1
C. x = 2
D. x = -2

Answers

Answer:

A. x = 1

Step-by-step explanation:

5^(7x-3)=625\n\n5^(7x-3)=5^4\iff7x-3=4\qquad\text{add 3 to both sides}\n\n7x=7\qquad\text{divide both sides by 7}\n\nx=1

Answer:

X = 1

Step-by-step explanation:

Nathan plants equal sized squares of sod in his front yard. Each square has an area of 6 square feet.Nathan plants a total of 1,000 squares in his yard.Whatis the total area of the squares of sod?

Answers

I THINK the answer is 6000 square feet because each one is 6 square feet and you have 1000 of them so 6 square feet times 1000 squares is 6000 square feet.

What is the answer for c ?

Answers

I'm certain that part b is essentially the same question as a but it asks for the exact amount of difference in distance which is 28 kilometers. Your estimate would be reasonable since there is no major difference between the estimate and the actual difference.

Miguel's teacher asks him to color 4/8 of his grid. He must use 3 colors; red, blue, green. There must be more green sections than red sections. How can Miguel color the sections of his grid to follow all the rules?

Answers

One correct answer is:

2/8 green, 1/8 red, and 1/8 blue.

Explanation:

If there are 8 tiles, coloring 4/8 means coloring 4 tiles. Using those three colors, we could use each 1 time with 1 left over. Since we must have more green, we would use it twice; this would give us 2 green, 1 red and 1 blue.

Since the grid is not necessarily 8 squares, we must account for this by saying 2/8 green, 1/8 red and 1/8 blue.
1/8 red 1/8 blue 1/8 green and another 18 green 1/8+ 1/8+1/8+1/8=4/8

M<9= 6x and m<11=120. Find the value of x so that line c is parallel to line d.

Answers

Answer:

The value of x is 20°

Step-by-step explanation:

we know that

m∠ 9 and m∠ 11 are corresponding angles

If line c is parallel to line d

then

m∠ 9 = m∠ 11

Substitute

6x=120°

x=20°

Answer:

20

Step-by-step explanation:

:))
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