Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
Answer:
4n+20
Step-by-step explanation:
Answer:
B 17.66
Step-by-step explanation:
What is the increase this week
increase = original price * increase rate
= 16 * .05
.80
New price = original price + increase
= 16+.80
=16.80
Now we need to find the sales tax
tax = new price * tax rate
= 16.80 * .051
= .8568
Which rounds to the nearest cent
=.86
To find the total cost add the new price to the sales tax
Total cost = new price + sales tax
= 16.80 + .86
=17.66
Answer:
Step-by-step explanation:
In the given circle, is diameter and is tangent at point E.
is a semicircular arc.
Since, measure of semicircular arc is 180°
.... (2)
From equations (1) & (2)
By inscribed angle theorem:
By tangent secant theorem:
Using math skills to answer a question