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3 years ago

Help Asap Please!! mark as Brainliest

Mathematics

2 answers:

nalin [4]3 years ago

8 0

Answer:

Statement Reason

$\frac{1}{2}(10m-14)+9=12$ Given

$5m-7+9=12$ Distributive property

$5m+2=12$ Combine like terms

$5m=10$ Subtraction property of equality

$m=2$ Division property of equality

Step-by-step explanation:

The given equation is

$\frac{1}{2}(10m-14)+9=12$

We need to prove m=2.

$\frac{1}{2}(10m)+\frac{1}{2}(-14)+9=12$ (Distributive property)

$5m-7+9=12$

$5m+2=12$ ( Combine like terms)

Subtract 2 from both sides.

$5m=12-2$ (Subtraction property of equality)

$5m=10$

Divide both sides by 5.

$\frac{5m}{5}=\frac{10}{5}$

$m=2$ (Division property of equality)

Hence proved.

nekit [7.7K]3 years ago

3 0

1. $\frac{1}{2}$ (10m - 14) + 9 = 12 1. Given

2. 5m - 7 + 9 = 12 2. Distributive Property

3. 5m + 2 = 12 3. Simplify (added like terms)

4. 5m = 10 4. Subtraction Property of Equality

5. m = 2 5. Division Property of Equality

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

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1 year ago

At a coffee shop, the first 100 customers’ orders were as follows

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Step-by-step explanation:

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3 years ago

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary

elena-14-01-66 [18.8K]

Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

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Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D

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3 years ago

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12

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we get a Jacobian determinant of $r$ , and the region is given in cylindrical coordinates by $0\le\theta\le2\pi$ , $0\le r\le3$ , and $-\sqrt{16-r^2}\le z\le\sqrt{16-r^2}$ .

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3 years ago