Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations
Answers
Answer:
Cyclist A lives farther from the Orchard
Step-by-step explanation:
Given
[tex]A(x) =48.5 -21x[/tex]
[tex]B(x) =42 -16.8x[/tex]
Required:
Who lives farther from the Orchard.
To do this, we simply calculate the y intercept.
This represents the total distance traveled to get to the Orchard
To calculate y intercept, we set [tex]x = 0[/tex]
So:
[tex]A(x) =48.5 -21x[/tex]
[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]
[tex]B(x) =42 -16.8x[/tex]
[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]
From the above computation:
[tex]A(0) > B(0) \to 48.5 > 42[/tex]
Hence;
Cyclist A lives farther from the Orchard
Related Questions
A local company had revenues of $2,800 last year. They spent 1/4 of their revenues on marketing and 1/7 of the remaining money on upgrading their facilities. How much money did they have left after marketing and upgrading the facilities? Group of answer choices
Answers
Answer:
$1,800
Step-by-step explanation:
Given
Total revenue last year = $2,800
If they spent 1/4 of their revenues on marketing;
Amount spent on marketing = 1/4 * 2800
Amount spent on marketing = $700
Remaining money = 2800 - 700
Remaining money = $2100
If 1/7 of the remaining money is spent on upgrading their facilities, then;
Amount spent on upgrading facilities = 1/7 * 2100
Amount spent on upgrading facilities = $300
Total amount spent on marketing and facilities = $700 + $300
Total amount spent on marketing and facilities = $1000
Amount left = $2,800 - $1,000
Amount left = $1,800
The ratio of boys to girls in a volleyball club was 6: 8. There were 36 boys.
How many girls were there in the club?
Answers
Answer:
Might be wrong but 27. Hope this helps
Answer:
48 girls!
Step-by-step explanation:
boys = 6x
girls = 8x
6x = 36
x = 36/6 = 6
girls = 8x = 8 x 6 = 48
I hope im right!
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answers
Answer:
Plz explain how to do this. Do I put numbers or what?
Step-by-step explanation:
When you tell me, I'll answer! <3
Hi! brainliest giving :)))
Find the volume of a cone with a base circumference of 17π m and a height 4 m less than twice the radius. Give your answer both in terms of π and rounded to the nearest tenth.
Answers
PLEASE HELP!!! WILL GIVE BRAINLIEST
Answers
Given:
Angle 1 = 90 (An)
Angle 2= 45 (An)
Angle 3 = 36 (An)
Angle 4 = 50 (An)
Angle 5 = 20 (An)
solve for x PLEASE HELP
Answers
Answer:
x=5
Step-by-step explanation:
11^X=11²×11³
11^X=11^5
x=5
Answer:
Anwer is x=5
Step-by-step explanation:
11^x-3=11
11^x-3= 121
x-3=2
add 3 both side
x=5 help this help 5 star please :)
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answers
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
PLZZ HELP WITH THIS HOMEWORK
Answers
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
Answers
Code: (B+C) - (D+A)
Help me it’s a puzzle
Answers
Answer:
-A+B+C-D or B+C-D-A
Step-by-step explanation:
Simplify the expression
PLS, I NEED HELP ASAP!!
Answers
Answer:
3x+18
Step-by-step explanation:
3 times x
3 times 6
3x
18
3x+18
plz help what is the slope of this line shown?
Answers
Answer:
slope= -3
Step-by-step explanation:
i hope this helps :)
The question is down below
Answers
Answer:
The volume at the highest point is 64 times greater
Step-by-step explanation:
Mathematically, the volume of a sphere is simply the same formula irrespective of the size
Now, we have the formula as;
V = 4/3 * pi * r^3
While the 4/3 pi is a constant term, the value of r changes
initially we have the value of r as d = 2
where r is the radius and d is the diameter
we have this as;
8/2 = 4 ft
r^3 of this is 4^3 = 64
For the second part, we have
r as 32/2 = 16 ft
now, the r^3 part here is 16^3 = 4096
So now, we have to divide the final by the initial
we have this as 4096/64 = 64
So the volume at the highest point is 64 times greater
PLZZZZZ HELPPP ILL GIVE BRAINLIEST
Answers
Answer:
340
Step-by-step explanation:
Answer:
100-60
Step-by-step explanation:
Used special calculater for this kind of problem.
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answers
Answer:
The answer is D. = 0.99
I can't figure this out and didn't see it on brainly, pls help
Answers
Answer:
it's 8
Step-by-step explanation:
(10×1/5)^3=2^3=8
Answer:
The answer is 8!
Step-by-step explanation:
Subtract the like terms. As you can see, the 10 in the numerator and denominator have the same base. Therefore, you can subtract the exponents, which would be 10^1, or 10. You would do the same for 5, which would be 5^-1, or 1/5. You would then make this one fraction, the 10 and 5. The fraction would be 10/5, or 2 once simplified. Now, don't forget the outside parentheses! You would do 2^3, and your final answer would be 8. Hope this helps!
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answers
Answer:
C. x is the variable
Step-by-step explanation:
easy...
Solve these equations: tan^2x-3tanx+2=0
Answers
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.
Need help answering this question.
Answers
Answer:
121
Step-by-step explanation:
If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME
Helpppppp againnn plzzz
Answers
Answer:
x=8.17
Step-by-step explanation:
uztstskycuvkhifig
Answer:
x = 8.17
Step-by-step explanation:
We will be using pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]
=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616
=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)
what does the word "solution" mean has to be in your own words please help
Answers
Answer:
an answer to a problem
Step-by-step explanation:
A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ feet
Answers
Answer:
72 ft
Step-by-step explanation:
Here, we want to get the maximum height the ball will reach
the maximum height the ball will reach is equal to the y-coordinate of the vertex of the equation
So we need firstly, the vertex of the given quadratic equation
The vertex can be obtained by the use of plot of the graph
By doing this, we have it that the vertex is at the point (3,72)
Thus, we can conclude that the maximum height the ball can reach is 72 ft
Are the ratios 4:1 and 14:3 equivalent?
Answers
Answer:
False
Step-by-step explanation:
NO they are not equivalent
PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?
Answers
Answer:
they should be either 150 yards away or 200 yards away.
Step-by-step explanation:
Btw The walking dead was a good choice
Evaluate:
12×2.4×2.4×7=
Answers
Answer:
483.84
Step-by-step explanation:
Answer:
483.84
Step-by-step explanation:
Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savings.
Answers
Answer:
m+10=53
Step-by-step explanation:
maliks savings=43
Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free
Answers
Answer:
2500 ( nearest hundred)
Step-by-step explanation:
Given that :
Number of stickers collected per week = 89
Number of weeks for which stickers were being collected = 28
To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week
The number of stickers collected :
89 * 28 = 2492
2492 = 2500 ( nearest hundred)
The half-life of a radioactive kind of antimony is 60 days. If you start with 720 grams of it, how much will be left after 180 days?
Answers
The sum of twice a number, n, and 14 is 30. Write an equation that models this
statement. Then explain how you might use reasoning to find the value of n.
Answers
Answer:
2n +14 = 30 I can use inverse operations and solve for n.
Step-by-step explanation:
twice means 2 so twice a number,n, means 2 times n thus 2n.
sum means add so, 2n + 14
is means equal so 2n + 14 = 30
If you solve it you will find n = 8
Factor the expression completely. 60x^3+50x^5
Answers
Answer: 10x^3(6+5x^2)
