Answer:
x = -9, y = 6.
Step-by-step explanation:
-x + y = 15
-5x - 3y = 27
From the first equation:
y = x + 15.
Substituting for y in second equation:
-5x - 3(x + 15) = 27
-8x - 45 = 27
-8x = 72
x = -9.
Now plug x = -9 into equation 1
-(-9) + y = 15
y = 15 -9 = 6.
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Answer:
Yes
Step-by-step explanation:
Example
x+2 is a factor of 2x+4.
2(x+2) = 2x+4.
7x-2 is how it’s written in standard form
