MATHEMATICS MIDDLE SCHOOL

Evaluate the expression when x = –11.2x – 19

A.
41

B.
3

C.
–3

D.
–41

Answers

Answer 1
Answer: 2x - 19
Let's substitute the value of x in the equation

2 ( -11 ) - 19
-22 - 19
-41

So correct option is D. 

Hope this helps you..  :)
Answer 2
Answer: 2 (-11) - 19
-22 - 19 = -41

Your answer is D: -41

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If the lines AB and CD are parallel in the figure below, find the value of x, y, and z

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The value of x=74°, y=74°, and z=106°.

What is the angle o a straight line?

  • The angle in a straight line says that the sum of all the angles on a straight line is 180°.
  • opposite vertical angle is the two opposite angles on a parallel line at the point of intersection.

         angle y=74°   (opposite vertical angle).

  • The angle on a straight line is 180°

        angle y+z=180°

                     z=180°-74

                      z=106°

  • angle y=x =74° (parallel angles)

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Answer:

y=74

z=106

x=74

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The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with half-life of approximately 6 hours.That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at the time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?

Answers

I know the answer and the answer is 11 AM
9 PM. 9-> 80 mg, 10->40mg, 11->20 mg

Please help!? 5 Stars! :0 :(

Answers


OK.  These problems are easy if you know the quadratic formula,
and they're impossible if you don't.

Here's the quadratic formula:

When the equation is in the form of      Ax² + Bx + C = 0

then                    x =  [ -B plus or minus √(B²-4AC) ] / 2A

I'm sure that formula is in your text or your study notes,
right before these questions.  You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.

The first question says        3x²  +  5x  +  2  = 0

Is this in the form of             Ax²  +  Bx  +  C  = 0    ?

             Yes !                    A=3      B=5   C=2

             so you can use the quadratic formula to solve it.

            x =  [ -B plus or minus √(B²-4AC) ] / 2A

               =  [ -5 plus or minus √(5² - 4·3·2) ] / 2·3

               =  [ -5 plus or minus √(25 - 24)  ]  /  6

               =  [  -5 plus or minus  √1          ]  /  6

           x  =        -4 / 6  =  -2/3
and
           x  =        -6 / 6  =  -1 .    
_______________________________________

The second question says

                                         4x²  +  5x  -  1 = 0

Is this in the form of          Ax²  +  Bx + C = 0  ?

           Yes it is !            A=4     B=5   C= -1  

         so you can use the quadratic formula to solve it.

            x =  [ -B plus or minus √(B²-4AC) ] / 2A

Now, you take it from here.

Which expression is equivalent to 10n + 81 - 4n - 9?6n +90
14n +72
6n +72
14n +90

Answers

6n + 72 is the expression is equivalent to 10n + 81 - 4n - 9

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 10n + 81 - 4n - 9

Ten times of n plus Eighty one minus four times of n minus nine

In the given equation n is the variable, plus and minus are operators

10n + 81 - 4n - 9

We need to add the like terms.

Like terms means terms of variables with same power.

10n + 81 - 4n - 9

6n+72

Hence, 6n + 72 is the expression is equivalent to 10n + 81 - 4n - 9

To learn more on Expressions click:

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Answer:

6n + 72

Step-by-step explanation:

10n + 81 - 4n - 9

6n + 72

4(n-4)=-12 need solution for this how to show work for this

Answers

You need to distribute the 4, so you'll end up with:4n-16=-12Then, add 16 to both sides.4n-16+16=-12+164n=4Divide by 4 on both sides.4/4n=4/4n=1
There are two ways to do this, the way I would do it is by first dividing each side by 4. if you do this you get n-4=-3. from here you add 4 to each side which gives you n=1

the other way you can do it is by distributing the 4 first. If you do this, you get   4n-16=-12. From here you add 12 to each side, which gives you 4n=4. Finally you divide each side by 4 to give you n=1. 

Both give you the same answer, the first way just does it in one less step.

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12.

Answers

Answer:

Step-by-step explanation:

x = pens and y = pencils

4x + 5y = 6.71....multiply by 5

5x + 3y = 7.12....multiply by -4

--------------------

20x + 25y = 33.55 (result of multiplying by 5)

-20x - 12y = - 28.48 (result of multiplying by -4)

--------------------add

13y = 5.07

y = 5.07 / 13

y = 0.39 <=== cost of a pencil

4x + 5y = 6.71

4x + 5(0.39) = 6.71

4x + 1.95 = 6.71

4x = 6.71 - 1.95

4x = 4.76

x = 4.76/4

x = 1.19 <==== cost of a pen
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