Multiply the numerator and denominator by 4+5i
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)]
=[(8-15)+(12+10)i] / [16+25] <span>= [ -7 + 22i ] / [41]
= (-7/41) + (22/41)i </span>
Answer:
a) $19.2
b) 0.8x
c) $17.5
Step-by-step explanation:
1. We want to find the discount price given the regular price
The discount is 20%
so the discount price will be;
24 - 20% of 24
24 - 4.8 = $19.2
b) We have this as;
x - (20% of x)
x - 0.2x = 0.8x
c) let the original price be x
x - 20% of x = 14
x - 0.2x = 14
0.8x = 14
x = 14/0.8
x = $17.5
Answer:
Both ordered pairs are solutions to this equation.
Step-by-step explanation:
If you plug in the x and y values given in the ordered pair, you make the left side of the equation equal the right for both pairs.
So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is
The second equation is : 5x + 17y = 152
Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)
55x + 40y = 790
55x + 187y = 1672
Then we subtract the second equation by the first one
55x-55x + 187y - 40y = 1672 - 790
147y = 882
y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
11x + 8(6) = 158
11x + 48 = 158
11x = 110
x = 10
So the awnser is :
Each adult ticket (x) is $10
And each student ticket (y) is $8
I hope you understood my explanation,
