Mary spent $10.30 on dinner to stay in budget.
Step-by-step explanation:
Amount spent on breakfast = $6.25
Amount spent on lunch = $8.95
Amount spent on dinner = x
Average = $8.50
Average =
Multiplying both sides by 3
Mary spent $10.30 on dinner to stay in budget.
Keywords: Average, addition
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<h3>
Answer: 42 = 2*3*7</h3>
Explanation:
Here is list of the first few primes = {2, 3, 5, 7, 11}
Divide 42 over the smallest prime 2 and we get
42/2 = 21
This shows that 2 is a factor (since we get a whole number result).
We don't have another factor of 2 because 21/2 = 10.5 isn't a whole number. But 3 is a factor because 21/3 = 7
Ultimately the numbers 2, 3 and 7 are factors of 42. They are the only prime factors and there's only one copy of each.
42 = 2*3*7
Check out the diagram below. It shows two different ways to generate a factor tree for the number 42.
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
Answer:
The width of the rectangular park is 40m.
Step-by-step explanation:
We are given that the area of a square has the same area as the rectangle (the fact that they're parks doesn't matter)
We are also given one length side of the square, and since squares have all equal sides, we know all the side lengths are 60m.
To find Area, we do L * W, so it would be 60 * 60 = 3600.
That means the area of the rectangle park is 3600m. One side of the rectangle is 90m, so the formula is L * W = A. So we plug in known values of the rectangle which would be 90 * W = 3600. To find W, we do 3600/90 which is 40.
Let me know if you have any questions