Answer:
£38.48
Step-by-step explanation:
First, we have to find what 4% of 37 is, so our equation is:
37 x 0.04 = 1.48
Then we have to add that 4% to the original cost:
1.48 + 37 = 38.48
So the total price of the theatre ticket is £38.48
The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
The equation would be:
x - 9 < 4
Simplify (add 9)
Solution: x < 13
Answer:
x=-4 and y=4
Step-by-step explanation:
(6x+9y)-(6x+7y)=12-4=8
--> 9y-7y=8
-->2y=8-->y=4
-->6x+7×4=4 -->x=-4
Answer:
The equation of the line we want to write is 4y = -x + 22
Step-by-step explanation:
Here, we want to write the equation of a line
.
The standard equation of a straight line is given as:
y = mx + c
where m is the slope and c represents the y-intercept
Now, let’s look at the line y = 4x + 16
The slope of this line is 4
Now, the equation of the line we want to write is perpendicular to this line
When two lines are perpendicular, the product of their slopes = -1
Hence;
m * 4 = -1
m = -1/4
So the slope of the line we want to write is -1/4
Now, using the point-slope form for the new equation;
y-y1/x-x1 = m
From the point given (x1,y1) = (10,3)
Thus;
y-3/x-10 = -1/4
4(y-3) = -1(x - 10)
4y - 12 = -x + 10
4y = - x + 10 + 12
4y = -x + 22
