All categories

2 years ago

1) Simplify: -7(2m - 8) + 6m 2) Expand: -10(1 - 6r)

Mathematics

1 answer:

ankoles [38]2 years ago

4 0

Answer:

$1)\: -7(2m - 8) + 6m$

Use distributive property:

$-14m+56+6m$

$-8m+56$

____________

$2)\: -10(1 - 6r)$

Use distributive property:

$-10+60r$

You might be interested in

Use a unit multiplier to convert $15.00 per hour to dollars per minute. Show your work.

torisob [31]

$15/1 hour= $15/60 minutes= $0.25/1 minute (did this by diving 15 by 60)

3 0

2 years ago

There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the

jasenka [17]

We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0

3 years ago

Find the mean 35 40 12 16 25 10

ruslelena [56]

Answer: Mean = 23

Step-by-step explanation:

Given information:

35, 40, 12, 16, 25, 10

Given formula:

$Mean~=~\frac{Sum~of~terms}{Number~of~terms}$

Substitute values into the formula

$Mean~=~\frac{35~+~40~+~12~+~16~+~25~+~10}{6}$

Combine like terms

$Mean~=~\frac{75~+~28~+~35}{6}$

$Mean~=~\frac{103~+~35}{6}$

$Mean~=~\frac{138}{6}$

Simplify the fraction

$\Large\boxed{Mean=23}$

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago

Michael is using a number line to evaluate the expression –8 – 3.

Yanka [14]

Answer:

Step-by-step explanation:

Michael is using a number line to evaluate the expression -8 - 3. After locating -8 on the number line , Michael could rewrite the expression as -8 + -3 and move 3 spaces to the left.

6 0

3 years ago

Read 2 more answers