Answer:
$39.96
Step-by-step explanation:
Since it is 20% off, we would multiply by .8, as we subtract the .2 (20%) off of the price.
$49.95 x 0.8 = $39.96
Let x be the mass of the paperbacks and y be the mass of the textbook.
20x + 9y = 44.4 ----------- (1)
25x + 10y = 51 -------------(2)
(1) x 10:
200x + 90y = 444 --------(1a)
(2) x 9:
225x + 90y = 459 --------(2a)
(2a) - (1a):
25x = 15
x = 0.6 -------- sub into (1)
20 (0.6) + 9y = 44.4
12 + 9y = 44.4
9y = 44.4 - 12
9y = 32.4
y = 3.6
So the paperback's mass is 0.6 pounds and textbook is 3.6 pounds
Answer:
the guinea pig is 21 cm longer
Step-by-step explanation:
fish = 40 mm
guinea pig 25 cm
convert the fish to cm
1 cm = 10 mm
40 mm * 1 cm/10 mm = 4 cm
guinea pig - fish
25 cm - 4 cm
21 cm
the guinea pig is 21 cm longer
Answer:
45
Step-by-step explanation:
You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°
and the equation becomes...
3x-10+55=180
3x+45=180
Subtract 45 from both sides
3x=135
Divide by 3
x= 45
Then to double check you plug 45 as the value of x in.
3(45)-10+55=180
135-10+55=180
125+55=180
180=180
Answer:
(5, 11) and (2, 2)
Step-by-step explanation:
y = (x-2)² + 2
y + 4 = 3x
(x-2)² + 2 + 4 = 3x
x² - 4x + 4 + 6 = 3x
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
x - 5 = 0, x = 5
x - 2 = 0, x = 2
y = (5-2)² + 2 = 11
(5, 11)
y = (2-2)² + 2 = 2
(2, 2)
