So for 1, the way to find one 'part' of the ratio, is to add up the ratio and divide the number from 180 (180 degrees in a triangle). So you would do 7 + 13 + 16 = 36. 180 divided by 36 = 5. Each part represents '5'. So to find the angles, you would do the coefficient multiplied by 5. Therefore, angle DEA is 13 * 5, which is 65 degrees, angle DFA is 16 * 5 = 80 degrees, and angle FDE is 7 * 5, which is 35. You know this is correct because 80 + 35 + 65 = 180 degrees.
For 2, you just have to set up a ratio. So we know that there are 320 cookies for 16 students, so the ratio would be set up as 320:16. So the cookie:student ratio, a.k.a, the number of cookies for each student is going to be the entire ratio divided by 16. We do this because there are 16 students, so to find the amount of cookies for 1 student, we do 16 / 16, which is 1. But of course, this affects the first part of the ratio too, so you do 320 divided by 16, which is 20. So the cookie:student ratio is 20:1. Every 1 student gets 20 cookies.
For 3, you just have to set up another ratio. If he finds 2 clovers in the first 12 minutes, the clover:minute ratio will be 2:12, or 1:6. This means that for every 6 minutes spent searching, 1 clover will be found. If he spends a total of 180 minutes searching, we can predict the number of clovers he will find by doing a proportion calculation. 180 / 6 = 30. That means we have to multiply 1:6 by 30 to find the number of clovers he will find. We multiply by 30 because 6 * 30 is 180 minutes, and obviously, this will affect the first part of the ratio too. 1 * 30 = 30. So that means the ratio is now 30:180. He will find 30 clovers in 180 minutes.
I hope you get it by now, but if you don't let me know. I'll help you answer the rest of the questions :)
Graph 1: Domain = [-6,6]
Graph 1: Range = {-5,-1,0}
Graph 2: Domain = (-4, infinity)
Graph 2: Range = {-4} or [-2, infinity)
Graph 3: Domain = (-infinity, infinity)
Graph 3: Range = [-5, infinity)
Graph 4: Domain = [-5.5, infinity)
Graph 4: Range = (-infinity, infinity)
Answer:
a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.
Step-by-step explanation:
a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.
b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.
c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.
A. this is not a function because x=1 has 2 outputs So does x=3
B . f(120) = 20 + 10*120 = 1220
This is the cost in dollars of renting a boat for 120 hours.
Complete question :
Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.
K(t)=15t^3–312t^2+1600t+1100
F(t)=36t3–720t2+3800t–1600
In which month was her revenue from food products the greatest? The least?
Answer:
greatest revenue = 4384
Leat revenue = 400 ; October
Step-by-step explanation:
Using the model :
Claculating the revenue from. Food sales from January through December :
F(t)=36t^3–720t^2+3800t–1600
Put t = 1, 2, 3,.. 12 for January through December
t = 1
F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516
t = 2
F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408
Inputting the t values up to 12 to cover for January thkorugh December :
We have the data:
t1 = 1516
t2 = 3408
t3 = 4292
t4 = 4384
t5 = 3900
t6 = 3056
t7 = 2068
t8 = 1152
t9 = 514
t10 = 400
t11 = 996
t12 = 2528
Hence, greatest revenue = 4384 (month of April)
Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400
