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Mkey [24]
3 years ago
9

Part A: Solve –mk – 90 > 85 for m. Show your work.

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

A) m < -175/k and B) 3c/5 - 11

Step-by-step explanation:

A) Add 90 to both sides. -mk > 175.

Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!

m < -175/k.

B) Subtract 3c from both sides.

-5f = 55 - 3c.

Now multiply both sides by -1/5.

f = 3c/5 - 11

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of the 273 students in a school, 95 volunteered to work the book sale. About what percent of the students volunteered?
Whitepunk [10]
28.7% to b exact
I hope this helped you
6 0
3 years ago
Solve the system of linear equations.
sweet-ann [11.9K]

Answer:

  • dependent system
  • x = 2 -a
  • y = 1 +a
  • z = a

Step-by-step explanation:

Let's solve this by eliminating z, then we'll go from there.

Add 6 times the second equation to the first.

  (3x -3y +6z) +6(x +2y -z) = (3) +6(4)

  9x +9y = 27 . . . simplify

  x + y = 3 . . . . . . divide by 9 [eq4]

Add 13 times the second equation to the third.

  (5x -8y +13z) +13(x +2y -z) = (2) +13(4)

  18x +18y = 54

  x + y = 3 . . . . . . divide by 18 [eq5]

Equations [eq4] and [eq5] are identical. This tells us the system is dependent, and has an infinite number of solutions. We can find them in terms of z:

  y = 3 -x . . . . solve eq5 for y

  x +2(3 -x) -z = 4 . . . . substitute into the second equation

  -x +6 -z = 4

  x = 2 - z . . . . . . add x-4

  y = 3 -(2 -z)

  y = z +1

So far, we have written the solutions in terms of z. If we use the parameter "a", we can write the solutions as ...

  x = 2 -a

  y = 1 +a

  z = a

_____

<em>Check</em>

First equation:

  3(2-a) -3(a+1) +6a = 3

  6 -3a -3a -3 +6a = 3 . . . true

Second equation:

  (2-a) +2(a+1) -a = 4

  2 -a +2a +2 -a = 4 . . . true

Third equation:

  5(2-a) -8(a+1) +13a = 2

  10 -5a -8a -8 +13a = 2 . . . true

Our solution checks algebraically.

6 0
3 years ago
What are the zeros of the polynomial function?
Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10


Discussion:

Approach 1:

20 = (-10)*(-2) and  (-10) + (-2) = -12 the coefficients of the polynomial. Hence

x^2 -12x + 20 = ( x- 2) * ( x-10)


Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x =    (  -(-12) +\- sqrt( ((-12)^2 - 4*1*20) )  /  (2 * 1)

   =    ( 12 +\- sqrt( 144-80)  ) /2

  =   (12 +\-  sqrt(64) ) /2

  =  (12 +\- 8 ) /2


x  = ( 12 + 8) /2 = 20/2 = 10

or

x = ( 12 - 8)/ 2 = 4/2 = 2



Thank you,

MrB

5 0
3 years ago
Read 2 more answers
22 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mamont248 [21]

Answer:

The dimensions of the park on the scale drawing are 12 inches by 20 inches

The actual dimensions are given as:

Park = 600 feet by 1000 feet

Swing set = 25 feet by 100 feet

The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches

The above means that, the scale factor (k) is:

--- i.e. divide the scale measurement by the actual measurement

Evaluate both equations

So, we have:

Multiply the scale factor by the dimensions of the park, to get the scale measurement

Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches

Read more about scale measurements at:

brainly.com/question/24579126

Step-by-step explanation:

3 0
2 years ago
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