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3 years ago

Combine the like terms to create an equivalent expression:−5+(−5r)+10

Mathematics

2 answers:

Mrac [35]3 years ago

8 0

Answer:

The equivalent expression can be $-5r+5$ or $5(-r+1)$ .

Step-by-step explanation:

Consider the provided expression.

$-5+(-5r)+10$

Open the parentheses as shown.

$-5-5r+10$

Arrange the like terms together as shown.

$-5r-5+10$

Now subtract the like terms as shown.

$-5r+5$

$5(-r+1)$

Thus, the equivalent expression can be $-5r+5$ or $5(-r+1)$ .

Slav-nsk [51]3 years ago

4 0

Answer is R+10
you have to distribute the + into -5 which will still be -5r and you keep the 10

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A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

Kazeer [188]

Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

2500y + 2000y + 2500y = 280,000

7000y = 280,000

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

7 0

3 years ago

Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc

Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0

4 years ago

Solve.

Nat2105 [25]

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Learn more here:

brainly.com/question/16864747

7 0

3 years ago

Write an expression for the perimeter of the triangle shown below:

salantis [7]

P = 3x + 0.5x + 9 - 3.4x - 25
P = 0.1x - 16

answer
0.1x − 16

5 0

4 years ago

1. To encourage public transportation, Avery wants to give some friends envelopes with bus tickets and subway tickets in them. I

Alexeev081 [22]

5 .This is called the greatest common factor.

You can list all the factors(ways to divide) of each number and find the biggest one.

15'1,3,5,15

10'1,2,5,10

The greatest they share is 5

5 0

3 years ago