Two groups of hikers take two different routes from Camp A to Camp B. The first group leaves Camp A at 9:00 AM and takes a route that is 30 miles longer than the second group's route. The second group leaves Camp A at 1:00 PM. Their hiking speed is 2 mph slower than the first group's speed. Both groups reach Camp B at 4:00 PM. How fast does each group hike?
Answers
Answer: first groups hiking was 6mph, second groups was 4mph.
Step-by-step explanation:
Speed of first group = 6 mph
Speed of second group = 4 mph
We are told that first group leaves Camp A at 9:00 AM.If the normal distance between camp A and camp B is x, then the total distance this first group covers will be;
(x + 30) miles
This first group reached camp B at 4pm. This is 7 hours from when they left camp A.Thus, their speed is;
v1 = (x + 30)/7 mph
We are told that;Second group left by 1pm and got to camp B by 4pm. This is 3 hours.
We are also told that their speed was 2mph slower than the first group.Thus;
v2 = ((x + 30)/7) - 2 mph
Since normal distance from camp A to camp B is x. Then this second group will have;x = ((x + 30)/7) - 2) × 3
Since;
distance = speed × time
Divide both sides by 3 to get;
x/3 = ((x + 30)/7) - 2)
Multiply through by 21 to get;
7x = 3(x + 30) - 42
7x = 3x + 90 - 42
7x - 3x = 48
4x = 48
x = 48/4
x = 12 miles
Thus, putting 12 for x in V1 equation gives;
v1 = (12 + 30)/7
v1 = 42/7
v1 = 6 mph
Similarly;
v2 = ((12 + 30)/7) - 2
v2 = (42/7) - 2
v2 = 6 - 2
v2 = 4 mph
Read more at; brainly.com/question/18642827
Related Questions
What is the slope of the line described by the equation below?
y=-6x + 3
O A. 3
O B. -3
O c. 6
O D. -6
Answers
Answer:
-6
Step-by-step explanation:
y=-6x + 3
This is in the form y = mx+b where m is the slope and b is the y intercept
The slope is -6 and the y intercept is 3
There are 28 tables in the cafeteria. Each table has 12 students sitting at it. Fourth graders sit at 13 of the tables. Fifth graders sit at the rest of the tables.
How many fifth graders are there?
Answers
Answer:
180 students
Step-by-step explanation:
28 -13 = 15
15 tables times 12 students
Answer: 180 fifth grader
Step-by-step explanation:
NEED HELP ASAP 10 POINTS BRAINLY IF CORRECT
Answers
Answer:
can u just post a question pls
PLEASE HELP Identify the slope (m)and y-intercept (b) of the linear function graphed below. Then, construct the linear equation for
Answers
Answer:
look at image attached :)
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answers
Answer:
3
Step-by-step explanation:
because 3 times 5 is 15 - 12 is 3
someone plz help me on this , (-8)(7)
Answers
Answer:
-56
Step-by-step explanation:
Assuming this is negative 8 times 7 the answer is -56 because one negative times one positive is always a negative answer.
Answer:
-56
Have a nice day pls rate me and like.
: )
3(8 - 7) = 2(10 + 8)
Answers
Answer:
3(8-7)=2(10+8)
3(1)=2(18)
3= 36
I don't know what your instructions say but this is false. 3 is not equal to 36.
Which of the following is the best example of a system of equations that should be solved by the elimination method?
Question 2 options:
8x + 3y = 2
5x + 8y = -11
2x - 4y = -16
y = 5x + 13
-8x - 9y = -17
16x - 4y = 12
12x + 7y = -17
9x + 11y = -7
Answers
Answer:the answer -8x-9y=-17
16x-4y=12
Step-by-step explanation:
divide 16x-4y=12 with 2
8x-2y=12
Then add the equations
-8x-9y=-17
8x-2y=12
0-11y=-23
You can’t do this with the other equations provided.
10 Convert 485 mL into litres.
© 0.485 L
D 485 000 L
B 4.85 L
A 48.5 L
Answers
Answer:
c
Step-by-step explanation:
Two fair dice are thrown and the scores added together. Above is the table that needs to be completed.
a. i) What is the least possible score?
ii) How many times does it occur?
b. What is i) the maximum possible score
ii) the probability of getting this?
c. What score appears most frequently in the table?
d. What is the probability for this score?
e. What is the probability of scoring an odd number?
Answers
Answer:
sorry I can't answer because I don't know what you telling
please mark as brainlist answer
[tex]\sqrt{8} + \sqrt{2}[/tex]
Answers
√8 + √2
2√2 + 1√2
3√2
I hope this helps
Any help and this please ??
Answers
During tax-free weekend, Amy bought pencils for $1.25 each. After using a coupon which saved her $3, she spent a total of $2. How many pencils, x, did Amy purchase?
Answers
Answer:
4
Step-by-step explanation:
1.25* 4=5
5-3=2
Help needed immediately. :( this is my my third time posting and no one is helping
Answers
Answer:
I know for a fact its the first and third ones but if there are more than those two I don't know
Step-by-step explanation:
Answer:
triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer
hope it helps you!
Identify the angles that each have a measure of 124º.
Answers
Answer:
Angle 1, angle 3 and angle 7 will be the equal angles.
Step-by-step explanation:
In the figure attached,
Two lines are parallel and a transversal line is intersecting these parallel lines.
Congruent angles to the angle measuring 124° will be,
m(∠7) = 124° [Vertical angles]
m(∠1) = 124° [Corresponding angles]
m(∠3) = 124° [Alternate interior angles]
Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.
answer first get brainliest!!
Rahul is wrapping a gift that has the dimensions shown. What is the least amount of wrapping paper he will need?
pls answer fast 5 pts!!! ill choose brainliest first!!
Answers
Answer:
24
Step-by-step explanation:
edge 2021
tep-by-step solution Step 1 of 4 The objective is to find the least amount of wrapping paper you need. Chapter 11, Problem 65RE is solved. View this answer View a sample solution Step 2 of 4 Step 3 of 4 Step 4 of 4 Back to top Corresponding textbook Mathematical Practices, Mathematics for Teachers | 1st Edition
Approximate which two integers √210 is between.
Answers
Answer:
14 and 15
Step-by-step explanation:
14 - 196
15- 225
I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)
Answers
Answer:
1.5 weeks
Step-by-step explanation:
Given
[tex]Earnings = 770.98[/tex] weekly
[tex]Amount\ Left = 385.49[/tex]
[tex]Game\ Cost = 1541.72[/tex]
Required
Determine the time taken to save up
Represent the time with t
The relationship between the given parameters can be expressed as:
Amount + Earnings in t weeks = Game Cost
This gives:
[tex]385.49 + 770.98t = 1541.72[/tex]
Collect Like Terms
[tex]770.98t = 1541.72 - 385.49[/tex]
[tex]770.98t = 1156.23[/tex]
Solve for t
[tex]t = 1156.23/770.98[/tex]
[tex]t = 1.49968870788[/tex]
[tex]t = 1.5[/tex] Approximated
What is the slope of a line perpendicular to y=3/2x+5
Answers
Answer:
To find a slope perpendicular to another line, you need to change the sign and flip the fraction.
Your answer:
m = -2/3
Answer:
3/2 i'm pretty sure
Can you pls help me with this question pls
Answers
Answer:
This is it ranked from least to greatest. 3/10 being the least
3/10
5/9
45/90
6x+1/2(12x-8)=3x-31 what is the answer?
Answers
Answer:
x=−3
Step-by-step explanation?
i did the math
The circumference of a circle is 10 inches. What is its area in square inches?
Answers
Answer:
7.96 square inches.
Step-by-step explanation:
Area of a circle given a circumference is given by formula:
[tex]A = \frac{C^{2}}{4\pi}[/tex]
So substituting into equation we have: [tex]C= 10[/tex].
Therefore [tex]A = 10^{2}/4\pi = 100/4\pi=25/\pi =7.96[/tex] square inches.
The area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The circumference of a circle is 10 inches.
As we know the circumference of a circle is given by:
C = 2πr
C is the circumference of the circle.
r is the radius of the circle.
10 = 2πr
r = 5/π inches
As we know,
The area of the circle is given by:
A = πr²
Here, A represents the area of the circle.
Plug the value of the radius r in the above formula:
A = π(5/π)²
A = 25/π square inches
Take π = 3.14
A = 25/3.14
A = 7.96 sqaure inches
Thus, the area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
(-2x) 4
O A. – 16x4
O B. -8x4
O C. -2xt
O D. 84
O E. 16x4
Answers
Answer:
The answer should be -8x
Step-by-step explanation:
You would use distiputive property and multiple four by negitive two and you would end up getting -8x
1. GUACAMOLE Eli is making guacamole. He uses 2 tablespoons of cilantro for every 3 avocados. At this rate, how many tablespoons of cilantro will he need for 9 avocados?
2. MARBLES The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate, how many blue marbles are there if there are 15 white marbles?
3. FERTILIZER Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water, how much plant food should she use?
4. STRAWBERRIES At a local fruit stand, Luisa spends $3.96 for 2 pounds of strawberries. How much can she expect to pay for 4 pounds of strawberries?
5. POGO STICK On her pogo stick, Lula made 24 hops in 30 seconds. At this rate, how many hops will she make in 50 seconds?
6. TESTS On a test, Matilda answered 12 out of the first 15 problems correctly. If this rate continues, how many of the next 25 problems will she answer correctly?
7. SOCCER The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a total of 21 games?
8. VEGETABLES At a harvest, 16 ears of corn are being picked for every 18 peppers. If 9 peppers have been picked, how many ears of corn have been picked?
9. CONSTRUCTION At a road work site, 20 cones are placed along 50 feet of road. How many cones are placed along 35 feet of road?
Answers
Answer:
1.6
2.12
3.18
4.7.92
5.40
6.20
7.18
8.8
9.14
hope this helps
please mark as brainliest!!!
Step-by-step explanation:
Factorise x²+4x-525
Factorise it plz
Answers
Answer:
(x+25)(x-21)
Step-by-step explanation:
x²+4x-525
=x²-21x+25x-525
=x(x-21)+25(x-21)
=(x+25)(x-21)
Answer:
(x+25)(x-21)
Step-by-step explanation:
x²+4x-525
multiply to get -525
add to get 4
x²+4x-525
(x²+21x)(+25x-525)
factorise:
x²+21x
x(x-21)
25x-525
25(x-21)
(x+25)(x-21)
Help ASAP
Write the fraction [tex]\frac{45}{81}[/tex] in simplest form.
Answers
Answer:
[tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{45}{81}[/tex] ( divide numerator and denominator by HCF of 9 )
= [tex]\frac{5}{9}[/tex] ← in simplest form
Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?
Answers
A camera is marked down from $36 to $27. What is the percent of the markdown
Answers
Answer:
75%
Step-by-step explanation:
You have to put 27/36 and multiply 27/36 by 100/1 and then you get 2700/36 and divide it and you get 75 so that is how you get 75%
who loves beetle juice
Answers
Answer:
i literally just finished watching it lol
Answer:i do becuase it is a funny movie :))
Step-by-step explanation:
3. Diego made the shape on the left, and Elena made the shape on the right. Each shape
uses 5 circles
Select all the true statements.
A. The smallest circle in Diego's design is congruent to the smallest circle in Elena's
design.
B. Diego's design is congruent to Elena's design
C. Elena's design is a translation of Diego's design
Answers
The two circle designs are missing, so i have attached it.
Answer:
Options A & B are true.
Step-by-step explanation:
Congruent circles are basically identical. This means that they have the same radius and diameter but different centres.
Now, from the attached image, we see that the smallest circle in diogo's design has diameter of 2 units & radius of 1 unit while the one in Elena's design also has exactly the same measurement. Thus, we can conclude the smallest circle in diogo's design which is the first one is congruent to the smallest circle in the second design for Elena.
So option A is correct.
Looking carefully at both designs, we can observe that one is concentric while the other is eccentric. However, all the similar sized circles have the same radius & diameter. Thus, we can still say that both designs are congruent. So option B is correct.
In transformations, a translation is when all the points in a an object are made to move up or down in a state straight line in that same direction. However, the objects shape and size remains the exactly the same.
In this case, it's not so because the circle changed from concentric circles to eccentric circles. So this option C is not correct.