MATHEMATICS HIGH SCHOOL

Solve, using the substitution method.4x + 2y = 11
x – 2 = – 2y


A.


B.


C.


D.

Answers

Answer 1
Answer: 4x+2y=11 \nx-2=-2y \n \n\hbox{from the 2nd equation:} \nx-2=-2y \nx=-2y+2 \n \n\hbox{substitute -2y+2 for x in the 1st equation:} \n4(-2y+2)+2y=11 \n-8y+8+2y=11 \n-8y+2y=11-8 \n-6y=3 \ny=-(3)/(6)=-(1)/(2) \n \n\hbox{solve one of the equations for x:} \nx=-2 \cdot (-(1)/(2)) +2=1+2=3 \n \n \hbox{the answer:} \n x=3 \n y=-(1)/(2)
Answer 2
Answer: 4x + 2y = 11
x - 2 = -2y
First you have to get a variable alone in one of the equations.

x - 2 = -2y
   +2    +2
--------------
x = -2y + 2
Next you substitute -2y +2 for x in the second equation.

4(-2y + 2) + 2y = 11
Distribute. 

-8y + 8 + 2y = 11
Combine like terms.

-6y + 8 = 11
Get the variable (y) by itself.

-6y + 8 = 11
       -8    -8
--------------------
-6y = 3
Finally get y by itself.

-6y = 3
-----   ------
-6      -6

Y = 0.5

Now to get x you plugin the answer for y.

x - 2 = -2y
x - 2 = -2(0.5)
x - 2 = -1
   +2     +2
x = 1

(1, 0.5) Is your ordered pair. :D

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A martini glass has the shape of a cone (on a stem). If 1cm^3 =1mL, how many milliliters of liquid can the glass hold. Use x=3.14 (10.9 cm left to right) and (4.8cm top to bottom)

Answers

Volume of glass = pie * r^2 * h /3
= 3.14 * 10.9/2 * 10.9/2 * 4.8/3
= 149.2 cm ^3

i.e equal to 149 ml of liquid which a glass can hold. 

What is 782,444 rounded to the nearest hundred thousand

Answers

782,444 rounded to the nearest hundred thousand would be 800,000.

This is because we know that the hundred thousands place has a 7 in it, so it would be 700,000.  However, because 8 is greater than 5, we have to round up instead of down.   

Hope this helps!

What 13 out of 20 in a precent

Answers

To solve this, you'll have to divide 13 and 20.
You should get, 0.65. So, the answer is 65%
13/20* (100/100)
= (13/20* 100)/ 100
= 65/100
= 65%

The final answer is 65%.

During cooking, chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken, how many grams of uncooked chicken must be used?

Answers

Answer:

117 grams

Step-by-step explanation:

So this is a oddly phrased question but I believe I understand it. You need to find 10 percent of 1170 grams and that it 117. And for you information I did use calculator to prevent error so don't worry about that.

Give the nth term and the next term of this

8,13,18,23,28

Answers

so it's add 5 to each so the next term would be 33

so first term is 8 so
1st term=8
2nd term=8+5 so therefor the equation is
the nth term is 8+5n-5
so therfor first term is 8+5(1)-5=8+5-5=8

second term=8+5(2)-5=8+5=13

equation is nth term=8+5n-5
Your answer is going to be 33. All it is doing is adding up 5

Solve the equation step by step. List each step, along with the property you used during that step. -5 x 1 X 11 X 4

Answers

You can do any problem first because they will all come out to be the same answer. The property that I am going to be using for all of them is commutative property of multiplication. -5*1=-5 is the first step you could do. -5*4=-20, it doesn't matter is you skip a number or not it will be okay. -20*11=-220. You can start with any one and the answer will still be -220.
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