Mathematics High School

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 1

Answer: first groups hiking was 6mph, second groups was 4mph.

Step-by-step explanation:

Two Groups Of Hikers Take Two Different Routes From Camp A To Camp B. The First Group Leaves Camp A At
Answer 2

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

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Related Questions

1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer
recipes during each week of school. Write an equation that shows the relationship between the number of
weeks and the number of appetizer recipes.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn
during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in
school
(d) Explain your answer to Part 1c.
Answer:

Answers

Answer:

(a)  The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

(b) A = 3 × x

(c) 58 recipes

(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew

Step-by-step explanation:

The given parameters are;

The number of appetizer recipes Tara already knew = 4

The number of new appetizer recipe she will learn each week of school = 3

(a) The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

The added constant term = The number of appetizer recipes Tara already knew = 4

(b) The equation for the number of appetizer, A, she will learn during school is give as follows;

The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +

A = 3 × x

(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;

y = A(18) + The number of appetizer recipes Tara already knew

A(18) = 3 × 18 = 54

y = 54 + 4 = 58 recipes

(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.

Andrea is a personal chef, who charges $110 per four-person meal; her monthly expenses are $2900
How many four-person meals must she sell in order to make a profit of at least $2400?

Answers

22 believe hope this helps

Answer:21.8

Step-by-step explanation:2400 divided by 110 equals 21.8

I need helpppppp!!!!

Answers

Answer: I believe yes

Step-by-step explanation:

Im sorry if this isn’t right but I believe it is

What Is the value of p? 33°

Answers

Answer:

90 - 33 = 57 57is the answer

Step-by-step explanation:

Answer:

p=57 degrees

Step-by-step explanation:

P and 33 are complementary we know this because of the right angle so set up this equation:

90=angle + angle

sub in the numbers

90=33+P

Substract both sides by 33 to get p alone.

p=57

Find the value of w. (5w+3)

Answers

we can find the value of w by making it equal to 0:
5w+3 = 0
5w = -3 <- subtract 3 from both sides
w = -3/5 <- divide 5 from both sides

w = -3/5 is your final answer!
hope this helps

The solution is: in the expression (5w+3) the value of w is: w = -3/5.

Here, we have,

given that,

the expression is: (5w+3)

now, we have to find the value of w

so, we get,

we can find the value of w by making it equal to 0:

5w+3 = 0

<- subtract 3 from both sides

5w = -3  

<- divide 5 from both sides

5w/5 = -3/5

so, we have,

w = -3/5 is the final answer.

Hence, The solution is: in the expression (5w+3) the value of w is: w = -3/5.

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bruh someone helpp ffs

Answers

Reflected over the X-axis is a single transformation that got A to B

Answer:

Step-by-step explanation:

B ruh????????

Be the first to answer this:)

Answers

Answer:

53 1/3 yards

Step-by-step explanation:

When you solve for area you multiply width times length so here we would divide.

6400 ÷ 120 = 53 1/3 yards

Hope that helps and have a great day!

WHAT MOVIE HAS 7 THEATRICAL REALESES

Answers

Answer:

The meaning theatrical releases means the date a new movie is entered into the theater distribution system for public viewing. Alternate formats of the movie, such as DVDs, Blu-ray discs and video-on-demand, are scheduled for distribution a set number of weeks or months after the theatrical release. See video-on-demand. So if that is what it means then the movie i think that has 7 theatrical releases is the new movie "Mulan" because the people started making the movie on March 9th, 2020 and released the movie on September 4th, 2020. If i am incorrect i apologize

Hope this helps, have a great day and stay safe! :))))))))))))))

Lines and mare intersected by transversal t. || m.

Select all the angles that are supplementary to 24.

Answers

Answer:

<2, <3, <6, and <7

Step-by-step explanation:

*Remember <4 and <8 are coungruent to each other since they are corresponding angles*

Pweasseeee help meh (7th grade math work) will mark as Brainliest :3

Answers

Answer:

x = 52.5 cm

Step-by-step explanation:

this is called a ratio and proportion or similar triangles

  21    =     35  

 31.5           x

do cross multiply:

21 x = 31.5 (35)

x = 1102.5 / 21

x = 52.5 cm

*
Convert 499 m to km
499,000 km
O 0.499 km
49.9 km
0 4.9 X 10^-3 km

Answers

Answer:

the answer is 0.499 km I also used a calulator to double check.

2/5=x/65 solve for x
A: x=1/26
B: x=16
C: x=28
D: x=26
please help me

Answers

Answer:

Solve  :    -x+26 = 0 

 Subtract  26  from both sides of the equation : 

                      -x = -26 

Multiply both sides of the equation by (-1) :  x = 26 

[tex] \frac{2}{5} = \frac{x}{65} [/tex]

[tex]2 \times 65 = 5 \times x[/tex]

[tex]130 = 5x[/tex]

[tex]x = \frac{130}{5} [/tex]

[tex] \color{hotpink}x = 26[/tex]

Therefore , the correct option is :-

[tex]\color{plum}D) \: x = 26[/tex]

A bag contains three blue marbles, five red marbles, and four green marbles.

Part A: What is the probability of selecting a red marble?

Part B: What is the probability of selecting three red marbles without replacement?

Part C: In a short paragraph, explain in your own words your work to Step B

Answers

Answer:

Below.

Step-by-step explanation:

The total number of marbles is 12.

Part A.

Prob(Red marble) = 5/12.

Part B.

Prob(pick 3 red marbles without replacement) = 5/12 * 4/11 * 3/10 = 1/22.

Part C.

The probability of the first being red is 5/12 because there are 5 red out of a total of 12 marbles. After that there are only 4 marbles and the total is 11 ( 1 marble less). Finally on the 3rd pick there are 3 red and a total of 10. WE then multiply these 3 probabilities.

graph the equation y = {x-5
5 ?

Answers

X-intercept=55 and y-intercept=-55

Anna runs 3/4 miles in six minutes Assuming she runs at a constant rate what is her speedin miles per hour

Answers

Answer:

7.5 or 15/2 or 7 1/2 miles per hour

Step-by-step explanation:

If she runs 3/4 miles in 6 minutes, and six times ten is 60 minutes in in hour, then 3/4 times 10 would be 30/4 = 15/2 = 7 1/2 = 7.5

Solve for x 5x + 12 = 52

Answers

Answer:

x=8

Step-by-step explanation:

5x + 12 = 52

5x = 52 - 12

5x = 40

x = 8

hey buddy!!

here is your answer!

Answer:

8

Step-by-step explanation:

5x + 12 = 52

5x = 52-12

5x = 40

x = 40/5

x = 8

hope you understood!

y=(-6)3x-8=
what is the answer

Answers

Answer:

8

Step-by-step explanation:

True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False

Answers

Answer:

True.. :) Have a nice day.

Step-by-step explanation:

TRUE , the two system of equations are equivalent

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

We have two sets of equations

Let the first set of equation be A

Let the second set of equation be B

Equation set A :

6d + 4.5e = 16.5    be equation (1)

5d + 0.5e = 4   be equation (2)

Equation set B :

30d + 22.5e = 82.5   be equation (3)

5d + 0.5e = 4   be equation (4)

Now , we can see that Equation (3) is a multiple of Equation (1)

Multiply equation (1) by 5 , we get

5 ( 6d + 4.5e = 16.5 )

30d + 22.5e = 82.5   be equation (5)

Therefore , equation (5) = equation (3)

So , equation (1) = equation (3)

And , equation (2) = equation (4)

Therefore , Equation set A is equivalent to Equation set B

Hence , the two system of equations are equivalent

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On a farm, there are 3 goats to every 7 chickens. If the
re are 50 animals on the farm, how many are goats?
How many are chickens?

Answers

Answer:

There are 35 chickens

Step-by-step explanation:

goats : chickens: total

3               7           3+7 = 10

There are 50 animals

50/10 = 5

Multiply each number by 5

goats : chickens: total

3*5          7 *5         10*5

15              35             50

There are 35 chickens

Answer:

15 goats and 35 chickens

Step-by-step explanation:

goats to chickens - 3:7

3:7

3+7=10

50/10=5

3*5:7*5

15:35

Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.

Answers

6x-6=60
Add 6 to both sides
6x=60
Divide 6 into 60
X=10

The question is below answer please

Answers

1. 51
2. 10
3. 14
4. 7
5. 13
6. 6
7. 4
8. 22
9. 29
10. 36
You just have to cross multiply and then divide it by 100

Is this set of ordered pairs a function?
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }

Answers

Answer:

no it is not a function

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

(0,2) and (2,2) have the same y value.


A sports arena posted ticket prices for five different sporting
events. A service charge is collected for each ticket
purchased. The table shows the ticket price, c, of each of the
different sporting events.
Ticket Price,
$47 $54 $62 $79 $116
Cost Including Service Charge $60 $67 $75 $92 $129
Which expression can be used to find the total cost of each
sporting event ticket including the service charge?

Answers

Answer:13

Step-by-step explanation:

HELP MEHH PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

A,D, and E

Step-by-step explanation:

The answers are A D and E

−4 + [12 × (−8)] – 62

Answers

Answer:

-162

Step-by-step explanation:

that the answer

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

The circumferences of earth is about 25,000 miles which is the circumference written in scientific notation

Answers

Answer:

2.5*10^4

I hope this helps

Answer:

2.5 x 10^4

this is a filler. I hope this helps though :)))))

De Shawn pays 8.16 for 12 pounds of sugar.what is the price per pound of sugar

Answers

Answer:

$0.68 per pound

Step-by-step explanation:

The price of sugar is $0.68 per pound.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, the person paid $8.16 for 12 pounds of sugar.

Therefore, mathematically it can be written as:

12 pounds of sugar = $8.16

1 pound of sugar = $(8.16/12)

1 pound of sugar = $0.68

Hence, the price of sugar is $0.68 per pound.

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Select all the equations that have the same solution as 2x-5=15.

Answers

Step-by-step explanation:

2x =15+5

2x =20

Divide by 2

X=10

Answer:

D, E

Step-by-step explanation:

2x-5=15,x=10

2x=20, x=5

2(x-5)=15, x=25/2

2x-20=0, X=10

4x-10=30, X=10

15=5-2x, X= -5

what angle is this??

Answers

The correct answer is B

Answer:

Acute Triangle

Step-by-step explanation:

Since all of the numbers are below 90 degrees, therefore, it makes it into an acute triangle.

Hope this helps! Stay safe!

in a complete sentence describe how much smaller the 3 in 743,857 is than the 3 in 735,957

Answers

Answer:

The 3 in 743,857 is 27,000 less than the 3 in 735,957.

Step-by-step explanation:

in 743,857 the 3 is 3,000

in 735,957 the 3 is 30,000

30,000 - 3,000 = 27,000

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