Answer:
A
Step-by-step explanation:
Given the 2 equations
6x + 3y = 9 → (1)
2x + 3y = 1 → (2)
Subtracting the 2 equations term by term eliminates the y- term
Subtract (2) from (1) term by term, that is
(6x - 2x) + (3y - 3y) = 9 - 1
4x = 8 ( divide both sides by 4 )
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (2)
2(2) + 3y = 1
4 + 3y = 1 ( subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
The solution is x = 2, y = - 1 → A
$2700
20 * 135% = 27
27 * 100 = 2700
Answer:
The gradient is m=1/3
Step-by-step explanation:
The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:
Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3
Therefore, the gradient/slope is 1/3.
Answer:
$3838
Step-by-step explanation:
The mean of the given numbers is their sum divided by the number of them:
mean = (3000 +3500 +4000 +4500 +3000 +3500 +4204 +5000)/8
= 30704/8 = 3838
If Jim is using this mean for his forecast, then his forecasted sales is $3838.
Steps of adding -6 + 4 using number line are as following:
1) Draw a number line by ranging from -10 to +10.
2) Point out -6 on the number line.
3) Because 4 is added to -6 on the number line, please move 4 number right to -6 on the number line. We always go right in addition and go left in subtraction on the number line.
4) The number we reach 4 on right side would be our final sum.
5) From the number we can clearly see that moving 4 number on right to -6, we get -2.
So, final answer is -2.
