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3 years ago

What is the answer to 5/m-7=6/m-9?

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Simplifying

5m + -7 = 6m + -9

Reorder the terms:

-7 + 5m = 6m + -9

Reorder the terms:

-7 + 5m = -9 + 6m

Solving

-7 + 5m = -9 + 6m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.

-7 + 5m + -6m = -9 + 6m + -6m

Combine like terms: 5m + -6m = -1m

-7 + -1m = -9 + 6m + -6m

Combine like terms: 6m + -6m = 0

-7 + -1m = -9 + 0

-7 + -1m = -9

Add '7' to each side of the equation.

-7 + 7 + -1m = -9 + 7

Combine like terms: -7 + 7 = 0

0 + -1m = -9 + 7

-1m = -9 + 7

Combine like terms: -9 + 7 = -2

-1m = -2

Divide each side by '-1'.

m = 2

Simplifying

m = 2

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Yes it is. You can get that answer by acting like there are 12 oranges.
1/3 of 12= 4
5/12 of 12= 5
1/4 of 12= 3

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Step-by-step explanation:

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3 years ago

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Use z scores to compare the given values.

Effectus [21]

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

$z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation$

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91$

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54$

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.

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3 years ago

(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Rashid [163]

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative <u>YOU MUST FLIP THE INEQUALITY SIGN.</u>

Step-by-step explanation:

You are welcome.

And I hope this helps. :)

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