Answer:
Diameter is 11cm, and the radius is 5.5
Step-by-step explanation:
To get the radius, just divide the size of the circle by 2
Diameter is the same size as the circle
Answer:
a.) $10.50
b.) $45.00
c.) about 66.67%
Step-by-step explanation:
a.) regular price = 15.00
discount = 30% or 0.3
15 x 0.3 = 4.50 ----------> this is the amount that you will have off
15.00 - 4.50 ---------> by subtracting from original price, you have sale price
= $10.50
b.) bought price = 25.00
marked up = 80% or 0.8
25.00 x 0.8 = 20 -------> this will give you 80% of 25
25.00 + 20.00 ------> she sells for 80% higher, so add the numbers
= $45.00
c.) original price = 36.00
bought price = 36.00 - 12.00
= 24
24 / 36 -----> divide bought price by original to find what percentage it is
= .66666 which is rewritten as 66.667%
you can check this by multiplying that percentage by the original price
hopefully this helps a little bit
<h3>
Answer:</h3>
The slope is 4
<h3>
Step-by-step explanation:</h3>
We are given the equation;
y = 4x - 6
We are required to determine the slope of the line.
- We need to know that when an equation of a line is written in the form;
y = mx + c
- Then, m is the slope of the line and c is the y-intercept.
In this case;
The equation, y = 4x - 6 is already in the form of y=mx + c
Therefore;
The slope of the line 4
Hey there! I'm happy to help!
SYSTEM #1
-4x+2y=22
-y=-3x-9
We can multiply both sides of the second equation by -1 to see what y equals.
y=3x+9
We can substitute this value for y into the first equation and solve for x.
-4x+2(3x+9)=22
We use distributive property to undo the parentheses.
-4x+6x+18=22
We combine like terms.
2x+18=22
Subtract 18 from both sides.
2x=4
Divide both sides by 2.
x=2
Our x has to be -4 to be the correct answer, so this option is incorrect.
SYSTEM #2
-4x+2y=22
y=-3x-9
We plug this y value into the first equation to solve for x.
-4x+2(-3x-9)=22
We use distributive property to undo the parentheses.
-4x-6x-18=22
We combine like terms.
-10x-18=22
Add 18 to both sides.
-10x=40
x=-4
We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.
y=-3(-4)-9
y=12-9
y=3
So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9
Have a wonderful day! :D
