Answer: option A is the correct answer.
Step-by-step explanation:
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.
If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes
p = kn
2.52 = k × 6
k = 2.52/6 = 0.42
Therefore, the equation representing the relationship is
p = 0.42n
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.
The number of years it would take sales to reach $1,750,000 is 14.65 years.
<h3>What is the number of years?</h3>
The formula that can be used to determine the number of years it would take for the sales to reach $1,750,000 is:
Number of years : In (FV / PV) / r
Where:
- FV = future level of sales - $1,750,000
- PV = present level of sales = 850,000
- r = rate of growth - 4.931998%
Number of years : In ($1,750,000 / 850,000) / 0.04931998
Number of years : In (2.06) / 0.04931998
Number of years : 14.65 years
To learn more about how to determine the number of years, please check: brainly.com/question/21841217
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Answer:
126 parts in 9 and a half hours
Step-by-step explanation:
56 parts in 4 hours
that means 56 parts in 240 mins
9 hours and 30 minutes in minutes is 570 minutes
56m parts:240 mins
540 mins
to get to 540 from 240, you multiply by 2.25.
you can work this out by doing 540 divided by 240
now, multiply 56 by 2.25.
the answer is 126 parts
Answer: no solutions
Step-by-step explanation:
12x+32=12x-7
12x-12x=-7-32
0x=-39
No solutions
