Answer:
d(m) = (1.05 miles/min)*m
Step-by-step explanation:
Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):
2 5/8 miles
--------------------
3 1/2 minutes
First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:
21/8 miles 21/8 miles
------------------ = ---------------------- = 21/20 miles/minute
5/2 minutes 20/8 minutes
The constant rate is (21/20) miles/minute, or 1.05 miles/minute.
Thus, the equation representing the distance, d, that the car travels in m minutes is
d(m) = (1.05 miles/min)*m
Answer:
132,090.30
Step-by-step explanation:
r = R/100
r = 4.6%/100
r = 0.046 per year,
A = P(1 + r/n)nt
A = 77,000.00(1 + 0.046/1)(1)(12)
A = $ 132,090.30
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Answer: 210
percent * base = amount
.6 * base = 126
base = 126/.6
x = 210
Step-by-step explanation:
Answer:
16) 
17) y = -x - 4
18) y = -2x - 1
19) y = -2x
20)
Step-by-step explanation:
With the two points you find the slope using 
Then using that slope, plug the slope in with one of the points values of x and y into the point slope formula, and smiplify that into the y-intercept formula.