1 quart = 2 pints
720/2 = 360 quarts per hour
1 hour = 60 minutes
360/60 = 6 quarts per minute
112,811 rounded to the nearest hundred thousand is 100,000
Answer:
x = 2
Step-by-step explanation:
4(2x - 1) = 3x + 6
Simplify
8x - 4 = 3x + 6
Subtract 3x from both sides
8x - 3x - 4 = 3x - 3x + 6
5x - 4 = 6
Add 4 to both sides
5x - 4 + 4 = 6 + 4
5x = 10
Divide both sides by 5
5x/5 = 10/5
x = 2
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
