MATHEMATICS MIDDLE SCHOOL

A number is 1/7 another number. the difference of the number is 18. assume that you are subtracting the smaller number from the larger number. find the number

Answers

Answer 1
Answer:

Answer:

21 and 3

Step-by-step explanation:

Let's call the small number x and the larger number y.

According to the problem:

x=(1)/(7)y

And when you substract the smaller number from the larger number you get 18:

y-x=18

substituting the first equation in the second one:

y-(1)/(7)y=18(6)/(7)y=18\n y=(18*7)/(6) =3*7=21\ny=21

the larger number is 21.

Using the first equation to find x:

x=(1)/(7)y\n x=(1)/(7) (21)\nx=3

the smaller number is 3.
Answer 2
Answer: a = the smaller number
b = the larger number
a = 1/7 b
b - a = 18
b - 1/7b = 18
6/7b = 18
b = 21
a = 1/7 * 21
a = 3

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I just want to see if my answer is correct, I haven't done volume in a long time!

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yes  your answer is correct

Is 5/8 equivalent to 4/10

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If volume of a cube is 90 cubic inches what might the measurements of the box be

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0.64 to the nearest whole number

Answers

Rounding 0.64 to the nearestwholenumber gives us 1.

We have,

The concept used to round 0.64 to the nearestwholenumber is the concept of rounding.

When rounding a decimal number, we look at the digit immediately to the right of the decimal point.

If that digit is 5 or greater, we round up to the next wholenumber.

If the digit is less than 5, we round down to the current whole number.

In this case, the digit to the right of the decimal point is 4, which is less than 5.

Therefore, we round down to the nearest whole number, which is 0.

To round 0.64 to the nearestwholenumber, we look at the digit immediately to the right of the decimal point, which is 6.

Since 6 is greaterthan 5, we round down.

Therefore,

Rounding 0.64 to the nearestwholenumber gives us 1.

Learn more about expressions here:

brainly.com/question/3118662

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A whole number is a number that does not have a decimal point- e.g. 0, 1 2, 3 etc. 

When rounding a number, if the number after the one that is being rounded is greater than 4, the number is rounded up.  If not, it remains the same: 
6 is greater than 4.  Therefore, 0 is rounded up to 1. 

0.64 rounded to the nearest whole number is 1

Find X in both problems using the pythagorean theorem

Answers

Answer:

first X=8.94

second X=34

Step-by-step explanation:

5) x^2=4^2+8^2

  x^2=16+64=80

  x=8.94

6)x^2= 31^2+14^2

  x^2=961+196

  x^2=1157

 x=34

Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.Thanks in advance!

Answers

Answer:

3.

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) =  2^3  * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem  (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

                           = (8 * 4) mod 7

                            = 32 mod 7

                            = 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

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