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
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Related Questions
Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.
Answers
Add 6 to both sides
6x=60
Divide 6 into 60
X=10
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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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
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:
Pweasseeee help meh (7th grade math work) will mark as Brainliest :3
Answers
Answer:
x = 52.5 cmStep-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
The question is below answer please
Answers
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
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
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.
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 :)))))
y=(-6)3x-8=
what is the answer
Answers
Answer:
8
Step-by-step explanation:
HELP MEHH PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answers
Answer:
A,D, and E
Step-by-step explanation:
The answers are A D and E
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.
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!
what angle is this??
Answers
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!
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.
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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*
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.
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
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
−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
graph the equation y = {x-5
5 ?
Answers
Find the value of w. (5w+3)
Answers
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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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]
bruh someone helpp ffs
Answers
Answer:
Step-by-step explanation:
B ruh????????
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
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! :))))))))))))))
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!
I need helpppppp!!!!
Answers
Answer: I believe yes
Step-by-step explanation:
Im sorry if this isn’t right but I believe it is
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*
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
Answer:21.8
Step-by-step explanation:2400 divided by 110 equals 21.8