Answer:
8/3 km
Step-by-step explanation:
we can represent the given information on a table:
Kilometers time (hours)
2/5 ⇔ 1 1/2
and since we want to know how many kilometers (x) will be paved on 10 hours:
Kilometers time (hours)
2/5 ⇔ 1 1/2
x ⇔ 10
The relationship these 3 numbers have can be described by using the <u>rule of three,</u> which is to multiply the cross quantities on the table (2/5 by 10) and then divide by the remaining amount (1 1/2):
x = 
÷ 
x = 
÷
we use 
x = ÷ 
and we make the division:
x = ÷ = 
we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:
x = 
thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.
Answer:
1. f(x) = g(x - 4)
2. g(x) = f(x + 4)
3. y = (-3/2)x + 4
4. y = (-3/2)x - 2
Step-by-step explanation:
1. Notice that the point (0, -2) lies on g(x) and the point (4, -2) lies on f(x). That means the translation function from g(x) to f(x) is 4 units to the right. So, we have: f(x) = g(x - 4).
2. This one is kind of the opposite of number 1; g(x) is 4 units to the left of f(x), so we have: g(x) = f(x + 4).
3. Slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept. Slope is change in y over change in x, so pick any two points on the line of f: (0, 4) and (4, -2).
slope = m = (4 - (-2)) / (0 - 4) = 6/(-4) = -3/2
The y-intercept is where the graph crosses the y-axis, which is (0, 4), so b = 4. Then:
y = (-3/2)x + 4
4. Pick any two points to find the slope: (-4, 4) and (0, -2).
slope = m = (4 - (-2)) / (-4 - 0) = 6/(-4) = -3/2
The y-intercept is at (0, -2), so b = -2. Then:
y = (-3/2)x - 2
This makes no sence number 1 what?
1.50x15=22.50
30.50-22.50=8
Paul spent 8 dollars on the card
Answer:
4 percent.
Step-by-step explanation:
(18/450) * 100
= 1800/450
= 180/45
= 4%.
