24cups is the same as

What is the quotient? 2m+4/8 / m+2/6

Mama L [17]

Answer:

the answer would be 3/2

8 0

3 years ago

Write a word phrase that describes the algebraic expression 12m + 3.4 = 9

katrin [286]

Answer:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

Step-by-step explanation:

Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?

8 0

3 years ago

Read 2 more answers

If the triangles are similar, what is the value of x?

Yuri [45]

9514 1404 393

Answer:

5/9
17/90
12/45
19/66

Step-by-step explanation:

You can do these conversions the way shown in your attachment:

2) x = 0.18_8

10x = 1.88_8

9x = 1.88_8 -0.18_1 = 1.7

x = 1.7/9 = 17/90

Or, you can recognize that 0.88_8 is 8/9, but 0.088_8 is that value divided by 10: 8/90. Then 0.18_8 is 0.1 + 0.088_8 = 1/10 + 8/90 = (9+8)/90 = 17/90

__

Here are the others:

1) 0.5_5 = 5/9

3) 0.26_6 = 1/5 + 6/90 = (18 +6)/90 = 24/90 = 12/45

4) 0.287_87 = 1/5 + 87/990 = (198+87)/990 = 19/66

_____

Further development

You have probably figured out that a 1-digit repeat that starts at the decimal point is expressed as a fraction with that digit divided by 9.

x = 0.dd_d

10x d.dd_d

9x = d

x = d/9 . . . . . . for any single-digit repeat

Now doubt, you're used to seeing 1/3 = 0.33_3 = 3/9, and 2/3 = 0.66_6 = 6/9.

__

Similarly, a 2-digit repeat is the fraction with those two digits divided by 99 (an equal number of 9s). This holds for all n-digit repeats. The "raw" divisor is 10^n -1. In many cases, the fraction can be reduced, as in ...

0.142857_142857 = 142857/999999 = 1/7

__

When the repeating part of the decimal does not start at the decimal point, then the divisor (some number of 9s) must be adjusted by an appropriate power of 10. The non-repeating part can be expressed as a fraction in the usual way, then added to the value of the repeating part. Or, you can do the several-step process you show. Both work just fine.

_____

About notation

Overbars are difficult to show in plain text. Not all methods of creating overbars are rendered properly in documents that show plain text. In typeset text, they are used to show the repeating digits. So, other methods are sometimes used in plain text to show the repeating digits. Here are a few:

0.166_6 . . . . shows the 6 repeats

0.16(6) . . . . . shows the 6 repeats [this notation is also used to indicate error limits for the number, so can be ambiguous]

0.16... (repeating 6) . . . . . shows the 6 repeats

6 0

3 years ago

Please help!! I need step by steps!! Thank you

alexandr402 [8]

Answer:

Part 1) The numbers are 22,24 and 26

Part 2) The value of x has no solution

Part 3) The value of x has no solution

Part 4) The value of x is $x=-3.5$

Step-by-step explanation:

Part 1)

Let

x ----> the first even number

x+2 ---> the second consecutive even number

x+4 ---> the third consecutive even number

we know that

$2(x)=(x+2)+20$

Solve for x

$2x=x+22$

$2x-x=22$

$x=22$

therefore

The numbers are 22,24 and 26

Part 2) we have

$10x-5-2(x+7)=2(4-x)+10x$

Distribute in the left and the right side to remove the parenthesis

$10x-5-2x-14=8-2x+10x$

Combine like terms

$8x-19=8x+8$

$-19=8$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$-4x+5-1(x-4)=5x+5+4(1-3x)$

Distribute in the left and the right side to remove the parenthesis

$-4x+5-x+4=5x+5+4-12x$

Combine like terms

$-5x+9=-7x+9$

$-5x=-7x$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$8-(9x+6)=5x+5+4(1-3x)$

Distribute in the right side to remove the parenthesis

$8-9x-6=5x+5+4-12x$

Combine like terms

$2-9x=-7x+9$

$9x-7x=2-9$

$2x=-7$

$x=-3.5$

4 0

4 years ago

Listed below are the amounts of weight change (in pounds) for 12 women during their first year of work after graduating from col

Softa [21]

Answer:

$s= \sqrt{80.568}=8.97$

$Median =\frac{1+3}{2}=2$

Step-by-step explanation:

For this case we have the following data:

1.0 -5 3.0 -8 14 -11 12 0 16 -2 12 7

And ordering this data we have:

-11 -8 -5 -2 0 1 3 7 12 12 14 16

And we are interested in find the standard deviation for the sample data. In order to do this the first step is find the mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}=\frac{1-5+3-8+14-11+12+0+16-2+12+7}{12}=3.25$

Now with the sample mean we can calculate the sample variance with the following formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

And if we replace we got:

$s^2 =80.568$

And for the sample deviation we just need to take the square root of the sample variance and we got:

$s= \sqrt{80.568}=8.97$

The median on this case would be given by:

$Median =\frac{1+3}{2}=2$

Using the positions 5 and 6 for the average since the sample size is an even number.

8 0

3 years ago