MATHEMATICS MIDDLE SCHOOL

How do you round 6.512 459 to the nearest ten-thousandth?

Answers

Answer 1
Answer: 6.512459\n\nSince\ the\ fifth\ place\ (hundred\ thousandths)\ is\ 5\ or\ more\ (it's\ 5),\nthe\ fourth\ place\ (ten\ thousandths)\ is\ increased\ by\ 1.\n\nAnswer:6.512459\approx6.5125
Answer 2
Answer: 6.512 459 = 6.51246 = 6.5125 Answer

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Mario claims that a rhombus is sometimes a square, but a square is always a rhombus. Is he correct? Explain your answer.

Answers

That is correct.This is because a square has all the elements a rhombus has.A rhombus has 4 equal sides,just like a square does.And,a rhombus can't always be a square becase a square also contains 4 equal angles,while a rhombus doesn't.
yes he is a square and a rhombus are exactly the same shape and figure they both have 4 sides and can sometimes have all equal sides :)

jack, Jill and Bill each carried a 48-ounce bucket full of water down the hill. By the time they reached the bottom, jacks bucket was only 3/4 full. Jill's was 2/3 full, and Bills was 5/6 full. How much water did they spill altogether on their way down the hill

Answers

36-ounce

Further explanation

Given:

Jack, Jill, and Bill each carried a 48-ounce bucket full of water down the hill.

By the time they reached the bottom:

  • Jacks bucket was only ³/₄ full.
  • Jill's was ²/₃ full, and
  • Bill's was ⁵/₆ full.

Question:

How much water did they spill altogether on their way down the hill?

The Process:

  • Notice the denominator of the Jack fraction is 4. We divide 48 by 4 to make four sections of 12 units each.
  • Notice the denominator of the Jill fraction is 3. We divide 48 by 3 to make three sections of 16 units each.
  • Notice the denominator of the Bill fraction is 6. We divide 48 by 6 to make six sections of 8 units each.

Let us make each scheme as below:

  • Jack's: \boxed{12}\boxed{12}\boxed{12}\boxed{12}
  • Jill's: \boxed{16}\boxed{16}\boxed{16}
  • Bill's: \boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}\boxed{8}

At Jack's:  

  • 3 out of 4 parts are full, or 3 x 12 = 36-ounce
  • the remaining 1 out of 4 parts is spilled, or 1 x 12 = 12-ounce.

At Jill's:  

  • 2 out of 3 parts are full, or 2 x 16 = 32-ounce
  • the remaining 1 out of 3 parts is spilled, or 1 x 16 = 16-ounce.

At Bill's:  

  • 5 out of 6 parts are full, or 5 x 8 = 40-ounce
  • the remaining 1 out of 6 parts is spilled, or 1 x 8 = 8-ounce.

Finally, let's count the amount of water they spilled together.

\boxed{ \ 12 + 16 + 8 = 36 \ }

Thus, the amount of water they spilled together on their way down the hill is 36-ounce.

Learn more

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Keywords: Jack, Jill, and Bill, carried a 48-ounce bucket full of water, down the hill, they reached the bottom, only 3/4 full, 2/3, 5/6, how much water did they spill altogether, on their way, 36-ounce, oz

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?

Answers

Answer:

The translation is left 4 units

Step-by-step explanation:

we know that

y=2(x-15)^(2)+3

Is a vertical parabola open upward with vertex at (15,3)

y=2(x-11)^(2)+3

Is a vertical parabola open upward with vertex at (11,3)

so

The rule of the  translation of (15,3) ----> (11,3) is equal to

(x,y) ----> (x-4,y)

That means ----> The translation is left 4 units

Answer:

left 4 units

Step-by-step explanation:

8s+6t-(-5s)-2t simplify the expression like terms

Answers

8s +6t -(-5s)-2t
 first find the number that has the same variables
=8s - 5s= 3s 

6t-2t=4t
 

the answer is 3s +4t

Order from least to greatest 0.6 4/5 0.75

Answers

Because the majority is in decimal form, you'll have to change the fraction to a decimal too so that it would be easier to solve this problem. 4/5 in decimal form is 0.8

So, the order from least to greatest is

0.6, 0.75, 4/5

Hope this helps :)

Answer:0.6,0.75,4/5

Step-by-step explanation:

Jenny wants to buy cereal that comes in large and small boxes. the 32-ounce box costs $4.16, and the 14-ounce box costs $2.38. Which box is less expensive per ounce?

Answers

The large box is less expensive per ounce.  
  

               large box             small box
cost             4.16                    2.38
content        32oz                   14oz

cost/oz       0.13                      0.17
                 *4.16/32                *2.38/14

The large box is less expensive than the small box. The large box is cheaper by 0.04 per ounce.
The 32-ounce would because of the unit price. The unit price of the 32-ounce box is $0.1300. The unit price of the 14-ounce box is $0.1700. I hope this answer helps you out! :)
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