1.The equation of a line is given by 3x-2y-6=0.find the 1.gradient of the line 2.y-intercept .
2.simplify 5(6-ab)+2(-7+3ab)
3.A man shared an amount of GHc50,000.00
among his three children Atsu,Varuna,and yaw in
the ratio 1:4:3 respectively.how much did he get?
4.simplify45 divided by 3 +2multiply
by8 -12+42
1. To find the gradient of the line, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the gradient and b is the y-intercept.
So, let's rearrange the equation 3x - 2y - 6 = 0:
-2y = -3x + 6
y = (3/2)x - 3
Now we can see that the gradient is 3/2.
2. The y-intercept is the value of y when x = 0. Let's substitute x = 0 into the equation:
y = (3/2)(0) - 3
y = -3
So, the y-intercept is -3.
3. The total ratio of the amount shared is equal to 1 + 4 + 3 = 8.
To find how much the man gets, we need to find the fraction of the total ratio that represents the man's share. The fraction for the man is 1 out of 8.
So, the amount the man gets is (1/8) * GHc50,000.00 = GHc6,250.00.
4. Let's simplify the expression:
45 divided by 3 + 2 multiplied by 8 - 12 + 42
First, perform the multiplication: 2 multiplied by 8 = 16.
Now, rewrite the expression:
45 divided by 3 + 16 - 12 + 42
Next, perform the division: 45 divided by 3 = 15.
Rewrite the expression again:
15 + 16 - 12 + 42
Now, perform the addition and subtraction from left to right:
15 + 16 = 31
31 - 12 = 19
19 + 42 = 61
So, the simplified expression is 61.