Answer:
The missing term is 3x
Step-by-step explanation:
Given
-(x - 1) + 5 = 2(x + 3) - _
Required
Find _
For proper identification of the parameters, represent _ with Z
So, the equation becomes
-(x - 1) + 5 = 2(x + 3) - Z
Open bracket (start from the left hand side)
-x + 1 + 5 = 2(x + 3) - Z
-x + 1 + 5 = 2x + 6 - Z
Solve like terms
-x + 6 = 2x + 6 - Z
Subtract 6 from both sides
-x + 6 - 6 = 2x + 6 - 6 - Z
-x = 2x - Z
Subtract 2x from both sides
-x - 2x = 2x - 2x - Z
-3x = -Z
Multiply both sides by -1
-3x * -1 = -Z * -1
3x = Z
Reorder
Z = 3x
Hence, the missing term is 3x
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
The <u>correct answers</u> are:
6.5 cm = 65.00001052 torr
6.5 cm = 8665.93 Pa
6.5 cm = 0.08552632119 atm
Explanation
The conversion rate from centimeters mercury (cm Hg) to torr is
1 torr = 0.099999983814461 cm.
We have 6.5 cm; this means to convert we divide:
6.5/0.099999983814461 = 65.00001052
The conversion rate from cm Hg to Pascals (Pa) is
1 cm = 1333.22 Pa
We have 6.5 cm; this means to convert we multiply:
6.5(1333.22) = 8665.93
The conversion rate from cm Hg to atmospheres (atm) is
1 atm = 75.999995199606 cm
We have 6.5 cm; this means to convert we divide:
6.5/75.999995199606 = 0.08552632119
Answer:
(0,0)
Step-by-step explanation:
4x + 4x = 0
8x = 0
8x / 8 = 0 / 8
x = 0
y = 4x
y = 4(0)
y = 0
