Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer:
110
Step-by-step explanation:
Let x = rate #1 and then 155-x=rate #2.
15x + 5(155-x) = 1225
15x - 5x + 775 - 1225
10x = 450
x = 45, second rate is 110
That is distributive property ... hope this helps
The surface to be paint is 4 * 12*8.5= 408 ft squared
1 gallon.......75 ftsquared
x gallon.......408 ft squared
------------------------------------
x= 408/75= 5,44 gallons
First of all let's define Distributive Property. So, it is an algebra property which aims to multiply a single term or more terms to a set inside a parenthesis. In the case above,
the first thing to do is to multiply 4 to each term inside the parenthesis:
11+4(x+2y+4)
=11+4x+8y+16x
Then , you should combine like terms. Like terms have a whole number and the same variable in this case a whole number and x which is why:
=11+20x+8y
This is the final equivalent expression
