Answer:

Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5
1. $14.1
2. He makes $17.10 per hour, he makes $68.4 in 4 hours, $136.80 in 8, $205.20 in 12 and $273.60 in 16 hours
3. 1 pound makes 16 oz, 16 x 5 = 80 one oz bags
4. 2,430 miles
Make x the subject
2x = -3y + 1
5x = -2y -3
now times the answers to get the lcd
(2x = -3y + 1) x 5
10x = -15y + 5
(5x = -2y -3) 2
10x = -4y -6
now that they are equal to the same number:
-15y + 5 = -4y -6
-15y + 4y = -6 -5
-11y = -11
y = 1
now to find x we substitute y
2x = -3y + 1
2x = -3(1) + 1
2x = -3 + 1
2x = -2
x = -1
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR =
= 39