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Sphinxa [80]
3 years ago
5

What index of m will be 1/m​

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

-1.

Step-by-step explanation:

1/m = m^-1.

We can show this is correct if we simplify the following:

m^2 / m ^3  =  m * m / m * m* m = 1/m

By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.

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What numbers are 3 units away from -1 on a number line?
Liono4ka [1.6K]

2 Would be your answer if the units are positive.


8 0
3 years ago
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w
KATRIN_1 [288]

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

5 0
3 years ago
1 Pound brown sugar is equivalent to _____ cups
iogann1982 [59]

Answer:

3 1/2 or said as 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5 __ cups

Hope This Helped

7 0
2 years ago
REN fine six peanuts, four raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. For every 9 pieces in Ren's
tankabanditka [31]

Answer:

2 raisins.

Step-by-step explanation:

Let x represent total number of required ingredient.

We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.

First of all, we will find total number of ingredients by adding each ingredient as:

\text{Total number of ingredients}=6+4+3+5

\text{Total number of ingredients}=18

Now, we will use ratio to solve for our given problem as:

\frac{\text{Required ingredient}}{\text{Total ingredient}}=\frac{2}{9}

\frac{x}{18}=\frac{2}{9}

\frac{x}{18}\cdot 18=\frac{2}{9}\cdot 18

x=\frac{2}{1}\cdot 2

x=4

Since there are 4 raisins, therefore, for  every 9 pieces in Ren's handful of trail mix there are 2 raisins.

6 0
3 years ago
What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept(0,-8)?
katen-ka-za [31]

Answer:

y = 1/4x -8

Step-by-step explanation:

First find the slope of the line

x-4y =3

Subtract x from each side

x-4y -x = -x+3

-4y = -x+3

Divide each side by -4

-4y/-4 = -x/-4 +3/-4

y = 1/4 x -3/4

This is in the form y= mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x +b

we know the y intercept is -8

y = 1/4x -8

8 0
3 years ago
Read 2 more answers
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