Answer:
a. 10v/(v² - 16) b. 3 hours
Step-by-step explanation:
a. Write and simplify an equation for the amount of time t in hours it will take the cyclist to make the trip.
Let v be the speed of the cyclist without the wind. The speed of the cyclist with the 4 mile per hour wind in the direction of the wind is v' = v + 4. Since the distance travelled is 5 miles, and time, t = distance/speed, the time it takes to make this trip is t' = 5/(v + 4)
Let v be the speed of the cyclist. The speed of the cyclist with the 4 mile per hour wind against the direction of the wind is v" = v - 4. Since the distance travelled is 5 miles, and time, t = distance/speed, the time it takes to make this trip is t" = 5/(v - 4).
So, the total travel time, T = t' + t"
= 5/(v + 4) + 5/(v - 4)
= [5(v - 4) + 5(v + 4)]/[(v + 4)(v - 4)]
= [5v - 20 + 5v + 20)]/(v² - 4²)
= 10v/(v² - 16)
b. What is the cyclist's total travel time, if she travels an average of 6 miles per hour without the wind?
If v = 6 miles per hour, then
T = 10v/(v² - 16)
= 10(6)/(6² - 16)
= 60/(36 - 16)
= 60/20
= 3 hours
Someone help me pls?
Answer:
The area of the triangle is 30 sqaure inches.
Answer:
I believe the area would be 30 inches. All you do is 12 times 5 which is 60 and then you divide 60 by two because it's a triangle, and you get 30. hope this helped.
The size of a pancake is measured by its radius. The corner shop charges $12 for a 3-inch personal pancake. The largest pancake is a 6-inch pancake that costs $20. How many times larger is the area of the largest pancake than the personal pancake? A. 2 B. 3 C. 4 D. 6
Answer:
C. 4
Step-by-step explanation:
A pancake is circular in shape
Hence, the area of a circle = πr²
HenceThe corner shop charges
a) $12 for a 3-inch personal pancake.
For personal pancake
r = 3 inches
πr² = π × 3²
= 28.274333882 square inches
= 28.3 square inches
b) The largest pancake is a 6-inch pancake that costs $20.
For Largest pancakes
r = 6 inches
πr² = π × 6²
= 113.09733553 square inches
Approximately = 113.1 square inches
How many times larger is the area of the largest pancake than the personal pancake?
This is calculated as :
Largest pancake/Personal pancake
= 113.1/28.3
3.9964664311 inches
Approximately = 4
Option C is the correct option
Answer:
4
Step-by-step explanation:
HELP ASAP TELL ME IF THIS IS CORRECT OR NOT
Answer:
yes, no, yes, no
Step-by-step explanation:
the first two are correct, try an example for 2 and 3
b = a - 5 yes
if a = 5 and b = 0
5 - 5 = 0
a = b - 5 no
if a = 5 and b = 0
5 = 0 - 5 which is not true 5 doesnt equal -5
The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function
models the value of this television x years after it was purchased?
(x) = 948(0.955)
3 [(x) = 0.955(948)*
© (x)=0.55(948)"
(x) = 948(0.55)
Answer:
t(x) = 948(0.955)^x
Step-by-step explanation:
I had this for a warm up
Answer: (x) 948(0.955)
8. Look at triangle MNQ. What is the value
of x, to the nearest tenth?
Select the correct comparison.
A. The typical value and the spread are both greater in set A.
B. The typical value is greater in set A. The spread is greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
D. The typical value and the spread are both greater in set B.
Answer:
c. the typical value is greater in set b. the spread is greater in set a
Step-by-step explanation:
The typical value is greater in set A. The spread is greater in set B.
The correct answer is an option (B)
What is the typical vale?"It is the average value (mean) of the data"
What is spread of the data?"It is the measure of how far the values in a data set are away from the mean.""The simplest measure for the spread of the data is range of the data set."What is the range of the data?"It is the difference between maximum and minimum value."
For given example,
We can observe that the typical value for set A is between 7 and 8
and the typical value for the set is in between 4 to 5.
So, the typical value is greater in set A
The range of the set A is :
R = 9 - 6
R = 3
The range of the set B:
R = 7 - 0
R = 7
So, the spread is greater in set B.
Therefore, the typical value is greater in set A. The spread is greater in set B.
The correct answer is an option (B)
Learn more about the spread here:
https://brainly.com/question/14413376
#SPJ2
BESTIE HELP FAST !!
Which is a graph of y=-3x + 2?
Answer:
Step-by-step explanation:
it's this one
A car drives 120 miles in 3 hours.
Calculate the average speed, in mph, of the car.
Answer:
40 mph per hour
Step-by-step explanation:
120/3=40
a group buys 6 hot dogs and 3 hamburgers for a total of $27.75. the hamburgers cost $1.75 more than a hot dog. what is he cost of the hamburger
Answer:
Cost of one hamburger = $4.25
Step-by-step explanation:
Let,
Cost of one hot dog = x
Cost of one hamburger = y
According to given statement;
6x + 3y = 27.75 Eqn 1
y = x + 1.75 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
6x + 3(x+1.75) = 27.75
6x + 3x + 5.25 = 27.75
9x = 27.75 - 5.25
9x = 22.50
Dividing both sides by 9
[tex]\frac{9x}{9}=\frac{22.50}{9}\\x=2.50[/tex]
Putting x=2.50 in Eqn 2
y = 2.50 + 1.75
y = 4.25
Hence,
Cost of one hamburger = $4.25
ANSWER THIS HURRY I WILL GIVE BRAINLIST 20 POINTS
Answer:
table f is the one that is proportional
Step-by-step explanation:
on the graph start at the origin (0,0) then go to the right once and then go up twice and place a point. Then go over once again and go up 2 lines again and place another. Repeat this process five times.
That is not possible for either of those to be right.
Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
Answer:
It takes Tyler 65 minutes to run 10 miles.
Step-by-step explanation:
First you have to figure out what Tyler's mph is, so you divide 8 2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.
(hope this helps!)
***PLEASE HELP ASAP!!***
the word PROBLEM ONLLYYYY
Answer:
88
Step-by-step explanation:
Answer:
264 boxes of crayons
Step-by-step explanation:
HI there!
To solve this, first we have to find out how many classes there are in total to make this easier.
Since they’re giving crayons to grades K-2, That means 3 grades will be getting crayons. If there’s 4 classes in each grade, multiply 4 by 3 to find the total amount of classes, which is 12.
Now to find the total amount of crayons, we multiply 12 by 22 to find the total amount of crayons bought.
They need to buy 264 boxes of crayons.
Hope this helps!
Write the equation of a line with slope = 4 and y-intercept = -2
Answer:
y=4x-2
Step-by-step explanation:
the equation of a straight line is given by
y=mx+c
where m is gradient slope and c is y - intercept
y=4x-2
i cant solve this please help
simplify by combining like terms
4z - 5/6 z
If a = 2 and b= -1, the expression 3ab2 is equal
to
(1) 6
(2) 12
(3) 36
(4) -12
The line y = 3x + c is a tangent to the circle x² + y² = 40. What is the value of c?
Answer:
12=c
Step-by-step explanation:
i just took the test
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Stephen read a 90-page book in 6 days. If he continues reading at that rate, how long will it take him to read a 300-page book?
emelia went out to eat dinner in the mail cost $20 with emalia received 30% has done what is the total value of the discount?
please help! :) i am quite confused. please, if you know how, explain how you got your awnser. thanks!
Answer:
A
Step-by-step explanation:
The x is the varible connected to the changing number. -2 is getting added to 43 every hour as displayed with -2x+43.
VT is the diagonal of a rhombus.
What is the slope of the other diagonal?
Answer:
C
Step-by-step explanation:
Remark
The slope of the given segment is found by using the 2 end points.
V(3,2) and T(5,7)
Slope of VT
Givens
y2 = 7y1 = 2x2 = 5x1 = 3Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (7 - 2)/(5 -3)
m = 5/2
Slope of other diagonal
m * m1 = - 1
5/2 * m1 = - 1
5m1 = -1*2 = -2
m1 = -2/5
C
Answer: c -2/5
Step-by-step explanation:
it’s the opposite so rise over run with a negative sign
Find the equation of the line.
Use exact numbers.
y =
if y=7.2 and r= 1.1 have been rounded to 1 decimal place find the possible value of y x r
Answer:
[tex]the \: possible \: value \: of \: ( y \times r) = 7 \times 1 = \boxed{ 7} \\ or \\ ( 7.2 \times 1.1) = \boxed{ 7.9} \\ [/tex]
Express each given number in fraction forms.
1)12
2)5.17
3)0.08
4)0.08375
5)2.50
1) 12/1
2) 517/100
3) 2/25
4) 67/800
5) 5/2
HHHHHEEEEELLLLLPPPPP PLEASEEE!!!!
Answer:
15 times per seconds
Step-by-step explanation:
basta 15 times per seconds
Chanasia has 11.25 gallons of paint. She wants to use 2 5 of the paint to paint her living room. How many gallons of paint will Chanasia use?
Answer: 4.5 gallons
Step-by-step explanation:
From the question, Chanasia has 11.25 gallons of paint and she wants to use 2/5 of the paint to paint her living room.
The number of gallons of paint that Chanasia will use would be calculated by multiplying the fraction by the total gallons of paint. This will be:
= 2/5 × 11.25
= 0.4 × 11.25
= 4.5 gallons
A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9.50. Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, and pays a total of $19.75. If p represents the number of popcorn buckets and d represents the number of drinks.
Answer:
Step-by-step explanation:
p + 3d = 9.50
3p + 4d = 19.75
-3p - 9d = -28.50
3p + 4d = 19.75
-5d = -8.25
d= $1.65 drinks
p + 3(1.65) = 9.50
p + 4.95 = 9.50
p = $4.55 popcorn
Which situatioWhich situation does NOT describe a final value of 0?
A A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then dropped another 105 feet.
B The temperature at 9 a.m. was –9° F. During the next 3 hours it rose 8 degrees and then rose an additional 2 degrees.
C After the first round in a game Jack’s score was –11. He then scored 5 points in the next round and an additional 6 points in the third round.
D Keisha’s bank account had $450 at the beginning of the week.
She deposited $200 on Monday, withdrew $500 on Tuesday and withdrew an additional $150 on Wednesday.
Answer:
A . A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then dropped another 105 feet.
What is the slope of the line through the points (-6,3) and (-7,-4)
Answer: The slope my friend is 7.
will mark brainliest! :)
JKLM is a rhombus. If m
Answer:
55
Step-by-step explanation:
took the test
Answer:
The second one is correct
Step-by-step explanation:
