Answer:
To maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.
Step-by-step explanation:
Since Mr. Trenga plans to start a new business called Rivers Explorers, which will rent canoes & kayaks to people to travel 10 miles down the Clarion River in Cook Forest State Park, and he has $ 45,000 to purchase new boats (canoes & kayaks) , and he can buy canoes for $ 600 each & kayaks for $ 750 each, and his facility can hold up to 65 boats, if the canoes will rent for $ 25 per day & the kayaks will rent for $ 30 per day, to determine how many canoes & how many kayaks should he buy to earn the most revenue, the following calculation should be performed:
65 x 750 = 48,750
48,750 - 45,000 = 3,750
750 - 600 = 150
3,750 / 150 = 25
25 x 600 + 40 x 750 = 45,000
25 x 25 + 30 x 40 = 1,825
600 x 5 = 3,000
750 x 4 = 3,000
40 x 30 + 25 x 25 = 1,825
60 x 30 + 0 x 25 = 1,800
56 x 30 + 5 x 25 = 1,805
52 x 30 + 10 x 25 = 1,810
48 x 30 + 15 x 25 = 1,815
44 x 30 + 20 x 25 = 1,820
Thus, to maximize his earnings, Mr. Trenga must purchase 40 kayaks and 25 canoes.
Write an equation of a line that has an x-intercept of -2 and a y-intercept of 6.
Answer:
y=6x+4.
Step-by-step explanation:
y=mx+b
m=6. b=4.
PLSSS PLSSS HELP! After an injury, Greg's doctor advises him to slowly build up to his regular workout schedule, adding a certain number of minutes to his workout time each week. According to his doctor's advice, Greg should work out for 25 minutes in week 3 and 47.5 minutes in week 6. A. For how many minutes should Greg work out in week1? How many in week 10? B. For how many minutes should Greg workout in week n? Explain your answer. Make sure to include the arithmetic sequence that can be used to find out how many minutes agree should work out in week n. Show your work.
Answer:
Week 1: 10 Minutes
Week 10: 77.5 Minutes or 1 hour and 17.5 Minutes
Week n: 10 + 7.5n
Step-by-step explanation:
Every week, Greg adds another 7.5 minutes to his workout time. Week 1 starts off with 10 minutes and continuously adds 7.5 minutes until he gets to week three, which 10 + 7.5(2) = 25 minutes.
Given sin^2 x = (1 - cos(2x))/2 Prove: sin(x/2) = plus/minus sqrt((1 - cos(x))/2) Prove Complete the steps of the proof
Answer:
1. half angle
2. x
Step-by-step explanation:
The missing parts of the proof is the variable x.
What are Trigonometric Functions?Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.
Given,
sin² (x) = [1 - cos (2x)] / 2
We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
First, we have
sin² (x) = [1 - cos (2x)] / 2
Substituting x/2 in place of x, we get,
sin² (x/2) = [1 - cos (2x/2)] / 2
sin² (x/2) = [1 - cos (x)] / 2
sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]
Taking square root on both sides,
sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]
Hence it is proved.
Learn more about Trigonometric Functions here :
https://brainly.com/question/6904750
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The perimeter of a rectangle is 20 feet. The width is 4 feet less than the length. Find the dimensions of the rectangle. Then find its area.
Answer:
length = 7 ft
width = 3 ft
area = 21 sq ft
Step-by-step explanation:
let l = length
let l - 4 = width
2l + 2(l - 4) = 20
2l + 2l - 8 = 20
4l = 28
l = 7
w = 3
Area: 7 x 3 = 21
A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?
Answer:
$ because there are 4ft cut into one foot each equals 4
Step-by-step explanation:
PLS HELP ASAP!its due very soon so tysm if u help me :)
Answer:
23
Step-by-step explanation:
Use the part/whole = %/100.
You have that whole = 115 and % = 20, so that would be:
[tex]part/115=20/100[/tex]
simplify & solve:
[tex]part/115=1/5[/tex]
multiply both sides by 115
[tex]part=115/5\\part = 23[/tex]
If another sample of size 100 is taken, what is the probability that its sample mean will
be greater than 2.56 in?
Answer:
I don't know the answer to this but
Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.
Step-by-step explanation:
What is 7-4/6 ?
What is 234-303+93847?
Answer:
7-4/6 = 6.33333333333
234-303+93847 = 93778
Step-by-step explanation:
You can buy 12 cookies for $4. What is the unit rate for the cost of each cookie?
Answer:
$0.33 per cookie
Step-by-step explanation:
The unit rate (cost per cookie) is
$4
---------------- = $0.33 per cookie
12 cookies
Answer:
Roughly $0.34
Step-by-step explanation:
Set up an equation:
Variable x = cost of one cookie
12cookies/$4 = 1cookie/x
12/4 = 1/x
Cross multiply
12 × x = 4 × 1
12x = 4
Divide both sides by 12
12x ÷ 12 = 4 ÷ 12
1x = 4/12
x = 0.333333
x = is about $0.34
please help me i really need help please
Answer:
no
Step-by-step explanation:
no
What is the solution set of the equation?
[tex]\sqrt{x} -18+9x=x[/tex]
9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
Which in equality represents all possible solutions of -6n< -12
Answer:
n>2
Step-by-step explanation:
A test is 45 minutes long. There are 3 sections of the test that each take an equal amount of time. How many minutes m is each section of the test? Write an equation to represent the number of minutes for each section.
Please help me
Answer:
15
Step-by-step explanation:
Answer:
each section takes 15 minutes long
Step-by-step explanation:
An equation you can use to get this is 45 ÷ 3 = x
x = 15
so the answer to the equation would be 45 ÷ 3 = 15
What is 2 7/12 written as a decimal?
OA) 0.2583
OB) 2.583
C) 2.583
OD) 5.83
Answer:
its 2.583333333 and repeating so it would be 2.583
if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?
math come help plese
Answer:
74
Step-by-step explanation:
Item 8
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
cone with a height of 15 meters and a radius of 6 meters
cone with a height of 12 meters and a radius of 4 meters
cone with a height of 6 meters and a radius of 3 meters
cone with a height of 3 meters and a radius of 1 meter
(this is a practice question)
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
pls helpppp with explanation pss
Step-by-step explanation:
27 cubes are needed because you could need a 3×3 ×3 cube
A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?
Answer:
140
Step-by-step explanation:
V=whl=7·4·5=140cm³
Answer:
140cm^3
Step-by-step explanation:
It is 140 because volume is base x length x height so 7 x 5 x 4 = 35 x 4 = 140 cm cubed so 140cm^3
Hope this helps
If point M (4, 6) is rotated 90 degrees clockwise around the origin, what are the coordinates of the copy for point M?
Answer:
6,-4
Step-by-step explanation:
The new position of point M (h, k) will become M’ (k, -h).
Answer:4,-5
Step-by-step explanation:
x^{2}+y^{2}=\left(6\right)^{2}
Answer: What is your question?
What is 0.06 x 0.4 =
Answer:
0.024
Step-by-step explanation:
First, multiply 6 by 4 to get 24. Since there is a hundredth and a tenth, you have to move the digit 3 units right to get 0.024.
Sorta don't know how to explain this but hope this helps
The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?
The distance from Greg's house to Melissa's is 8 mi.
Step-by-step explanation:
Multiply 4 by 2.
What is |-8/?
1-16
-8
8
16
you are correctyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
yayyy
Step-by-step explanation:
Answer:
Aww Thanks :)
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
DBCWBSHCHCVGCHWYEFDWEXBSAJNWUGDIHVBSYXVP VDXCBBVXBSGGSHYSXULSOOSKBHSOLSHOLSFHOJDKFIHEJIFWUGUJH
Step-by-step explanation:
-12(5/6a-7/8)+1/14(3 1/2a-1 2/5)
FREE BRAINLIEST IF RIGHT
Answer:
D is the only one that matches up if I remeber how to do this correctly
Answer:
Yes it is d I agree with him
Step-by-step explanation:
Solve For X? I been stuck on this question..
Answer:
Step-by-step explanation: