Answer:
$25.50
Step-by-step explanation:
So we have a 15% off coupon. We can multiply 25×.85 to find our new price.
Our total is now $21.25
Now to find the tip do $21.25 +(.2 × 21.25)
*The .2 is 20 percent of our discount price.*
We then get $25.50
Answer:
C = 80
Step-by-step explanation:
A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.
It has 1 interesting property that should concern you: <B + <D = 180 degrees.
3x - 59 + 2x - 1 = 180 Combine like terms
5x - 60 = 180 Add 60 to both sides.
5x = 180 + 60
5x = 240
x = 240/5
x = 48
Now go to 2x + 4.
x = 48
A = 2*48 + 4
A = 96 + 4
A = 100
So C = 180 - 100
C = 80
So, pretend this is your x-axis and y-axis:
I
I
(-2,7) • I
I
I • (2, 5)
I
I
I
I
_________________I____________________
I
I
I
TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:
y = -1/2x + 6
TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:
y = -1/2x + 6
+1/2x + 1/2x
1/2x + y = 6 .... and that is your answer!
Answer:
27
Question:
Find 
so that 
is a solution to 
.
Step-by-step explanation:
So we are asked to replace 
with -14 and solve for in the equation:
.
with 
:
Add 42 on both sides:
Divide both sides by 2:
.
So the -coordinate that corresponding to is 
.
Verify that:
is a point satisfying .
Replace with 27 and with -14:
is true so our work must be right.
Answer:
Step-by-step explanation:
The two-way frequency table is attached below.
We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e 
This is a conditional probability.
We know that,
So,
From the table,
Putting the values,
