Ok so we can see for every 2 cups of medium coffee, the balance goes down 5.30$. So that means that for every coffee, her balance goes down 2.65$. Solving for the x-intercept means how many medium coffees can I get until my balance is 0. First, we have to find the y-int so it's easy. The slope is -2.65 because for every medium coffee, her balance goes down 2.65$. So we have y=-2.65x+b. Plugging in any point, I choose (4,14.40), we get 14.4 = -2.65 × 4 +b. Solving for b we get 25 for the y intercept, meaning the equation is y = -2.65x + 25 . To find the x intercept, we set y=0. So we have 0 = -2.65x+25. Solving for x we get approx. 9.4. We can't have decimals so we round down to 9. So the x int is ≈ 9.4 meaning we can only buy 9 coffee and have a little extra. But, if the problem said how many more coffees can she get, then here is how we do it. Since she already got 4 coffees, and the max is 9, we do 9-4 and we get 5, so she can buy 5 coffeed more.
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
The length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul
Answer:
The question continues ; I take it is defined as a set of five white and one red number how many possible different Powerball tickets can be purchased how many possible different winning Powerball tickets are there
Step-by-step explanation:
he concept of combinatorics ( combination and permutation) is applied her
nPr = n!/(n-r)!
nCr = n!/(n-r)!r!
Hence number of possible different powerball tickets = number of ways of selection
= selecting 5 white ball from a total of 69 and selecting a red ball from a total of 26
= 69C5 x 26C1
using the formula above for combination
= 69!/(69-5)!5! x 26!/(26-1)!1!
= 292, 201, 338 ways
Answer:
6x -5 (4y -3x) + 4y
6x -20y + 18x + 4y
24x - 16y
Step-by-step explanation:
Answer:
$43.38
Step-by-step explanation:
Step 1 : find 20% of price
To do this, all you have to do is multiply the decimal version of the percent (20% --> 0.20) by your full price
36.15 × 0.20 = 7.23
Step 2 : add tip to total cost
now we get that tip we got in the first step and add it to 36.15
36.15 + 7.23 = $43.38
