Given :
Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill.
To Find :
If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk.
Solution :
Time taken to walk one mile uphill is :
[tex]t_1 = \dfrac{1}{3}\ hours[/tex]
Time taken to walk two mile on flat land( one on going and one or returning ) is :
[tex]t_2 = \dfrac{2}{4}\ hours\\\\ t_2 = \dfrac{1}{2}\ hours[/tex]
Time taken to walk one mile downhill is :
[tex]t_3 = \dfrac{1}{5}\ hours[/tex]
Total time taken :
[tex]T = t_1 + t_2 + t_3 \\\\T = \dfrac{1}{3} + \dfrac{1}{2}+\dfrac{1}{5}\\\\T = \dfrac{10 + 15 + 6}{30} \\\\T = \dfrac{31}{30}\ hours = \dfrac{31}{30}\times 60 \ minutes\\\\T = 62\ minutes[/tex]
Therefore, time taken un 62 minutes.
Find the missing values in the equation below.
Line 1: 2/3 - 1/2 = 4/?-?/6
Line 2: / - / = ?/6
Answer:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]/ - / = \frac{?}{6}[/tex]
Required
Fill in the gaps
For Line 1, convert both fraction to a denominator of 6.
This is shown below:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}[/tex]
[tex]\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}[/tex]
[tex]\frac{2*2}{2*3} - \frac{1*3}{2*3}[/tex]
[tex]\frac{4}{6} - \frac{3}{6}[/tex]
Hence:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
For Line 2;
We have:
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}[/tex]
[tex]\frac{2}{3} - \frac{1}{2} = \frac{1}{6}[/tex]
What is the missing number in this pattern?
2.704 * 10 = 27,04
2.704 * 100 = 270,4
2.704 * 1,000 = ???
Answer:
Step-by-step explain:
2.704 * 10 = 27,04
2.704 * 100 = 270,4
2.704 * 1,000 = 2,704
Which linear equation is represented by the table?
x −2 1 3 6
y 7 4 2 −1
Answer:
help calll me daddy
Step-by-step explanation:
A bag of marbles contains 2 white, 3 black, 1 red and 4 blue marbles. Cate draws one marble from the bag, looks at it and then replaces it. What is the probability that she will draw a black marble and then a black marble?
A) 9/10
B) 9/100
C) 3/5
D) 1/25
Step-by-step explanation:
Number of black marbles = 3
Total number of marbles = 2 + 3 + 1 + 4 = 10
P(Drawing a black marble) = 3/10
Since the drawing is replaced,
they are considered independent events.
=> P(Black marble, following by black)
= [P(Drawing a black marble)]²
= (3/10)²
= 9/100. (B)
What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?
Answer:
A = 0.859
Step-by-step explanation:
We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).
At y = 0, let's find x;
0 = xe^(x²)
Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.
So our upper band is x = 1
Thus,lets find the area;
A = ∫xe(x²) dx between 1 and 0
A = (e^(x²))/2 between 1 and 0
A = ((e¹)/2) - (e^(0))/2)
A = 1.359 - 0.5
A = 0.859
60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds
Answer:
86.4
Step-by-step explanation:
Simplify or solve the problems
1) 14a+2a=
2) 4x - 7 - 3 =0
3) 6x + 6 - =o
Do anybody know which one is it thank you.
Answer:
Its 2/8
Step-by-step explanation:
2/8 simplified is 1/4
Answer:
The answer will be 2/8 because if you think about it 4/8 is 1/2 and 1/2 of 4/8 is 2/8 and since 1/2 4/8 is 2/4 which is actually 1/2 of 1/2 so that makes it 1/4 hope this helps!!
(to make it clear the answer is 2/8)
Solve 3a – 8= 5a + 12
Show your work. (please)
Answer:
a = - 10
Step-by-step explanation:
3a – 8 = 5a + 12
3a – 8 + 8 = 5a + 12 + 8
3a = 5a + 20
3a - 5a = 5a + 20 - 5a
- 2a = 20
[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]
a = - 10
find the sum.
Please please please help me!!
Answer/ explanation:
3a + 4
a + b
Write the equation x2 + 6x + y2 – 8y = 19 in standard form.
Question 11 options:
1)
(x + 3)2 + (y – 4)2 = 44
2)
(x + 3)2 + (y – 4)2 =
3)
(x – 3)2 + (y – 4)2 =
4)
(x + 3)2 + (y + 4)2 = 44
Answer:
i think its 2
Step-by-step explanation:
The equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given the equation as;
x² + 6x + y² - 8y = 19
We need to find the standard form of the equation.
Thus, we have,
(x² + 6x )+(y²- 8y) = 19
We shall complete the square for the term;
(x² + 6x + 9 - 9 ) + (y² + 4y + 16 - 16) = 19
Simplifying, we get,
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16
Formula used :
x²+2xy+y² = (x+y)²
x²-2xy+y² = (x-y)²
Simplifying, we get,
(x + 3)² + ( y - 4)² = 44
Thus, the equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.
Hence, Option A is the correct answer.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
simplify:
[tex] \frac{ \sqrt{4} }{ \sqrt[3]{4} } [/tex]
choices:
[tex]4 \frac{5}{6} [/tex]
[tex]4 \frac{1}{6} [/tex]
[tex]4 \frac{3}{2} [/tex]
[tex]4 \frac{1}{3} [/tex]
Step-by-step explanation:
= 4^1/2 /4^1/3
=4^1/2-1/3
=4^1/6
There are a total of 168 hockey games in the season and 7 are played at night. The season is played for 14 months. How many games were played each month if each month has the same number of games?
Answer: 8
Step-by-step explanation: I added 7+14 then whatever i got i divied that by 168 so 168 by 21 which equals 8 but don’t hate if it’s wrong i’m only in the grade 5
In equation form. What goes through the points (0, 4) and (2, 7)?
Answer:y=1.5x+4
Step-by-step explanation:
A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in slope intercept form for this line.
Answer:
y = ¾x + 1
Step-by-step explanation:
Point-slope equation for line of slope ¾ that passes through (-8,-5):
y+5 = ¾(x+8)
Put into slope-intercept form:
y = ¾(x+8) - 5 = ¾x + 6 - 5 = ¾x + 1
i got 90.50. does that seem right?
Step-by-step explanation:
90.50. as money if it is it would be $90.50
if as a number 9,050
Given that R= 6x + 5y
Find y when x = 8 and R =20
Give your answer as an improper fraction in its simplest form
Answer:
-28/5=y
Step-by-step explanation:
20=6(8)+5y
20=48+5y
-28=5y
-28/5=y
Solve the inequality
Answer:
P > 9
Step-by-step explanation:
22 x 9 would equal 198 also, but if you want it to be like in the equation where 22p is more than 198 it has to be more than 9. So if you were to substitute any number over 9 it would work.
A basketball player makes 145 out of 180 free throws. We would estimate the probability that the player makes the next throw to be
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/15 for blue, 1/25 for green, 1/5 for pink, and 1/20 for black. What is the probability of pulling a black or pink card, written as a reduced fraction?
Answer:
Step-by-step explanation:
DAM I JUST STARTED LEARNING ABOut that
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
help please. Find the measure of each angle
1. 139
2. 41
3. 139
4. 139
5. 41
6. 139
7. 41
Determine whether the points on the line rise, fall, are horizontal, or vertical.
(2, -4) and (4, -1)
Answer:
The points rise.
Step-by-step explanation:
Points on a line have the following format: (x,y)
They rise if: As x increases, so does y.
They fall if: As x increases, y decreases.
They are horizontal if: As x increases, y remains constant.
They are vertical if: x is constant as y changes.
In this question:
Points (2,-4) and (4,-1).
x increases from 2 to 4.
y increases from -4 to -1.
That is, both increase, so the points rise.
Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
below is the graph of f'(x) the derivative of f(x) and has x intercepts at x = -3 x = 1 x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5. Which of the following statement is true?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
it makes the most sense anyways heres a bernie sanders meme cause its giving me life
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)
The older sibling will catch the younger sibling after ___ second(s) and running___feet.
Answer:
8 seconds after running 88 feet
Step-by-step explanation: this is what it told me the answer was
Answer:
The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.
Step-by-step explanation:
Older Sibling: 11ft 22ft 33ft 44ft 55ft 66ft 77ft 88ft
Younger Sibling: 32ft 39ft 46ft 53ft 60ft 67ft 74ft 81ft
The younger sibling started at 32ft because of the headstart. Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.
I hope you can understand. :)
ANSWER THIS QUESTION RIGHT WHAT YOU NEED TO FIND THE ANSWER IS ON THE PHOTO The Figure below shows the graph of the function f(x) In the coordinate plane. Identify the following key features of the graph
Answer:
vertex: (0,3)
Axis of symmetry: x=0
y-intercept: (0,3)
x-intercept: n/a
min
A would be positive since the parabola opens at the top
Step-by-step explanation:
Julio says,”If you subtract 15 from my number and multiply the difference by -7,the results is -175.” What is Julio number
Answer:
Julio's number is 40.
Step-by-step explanation:
We need to reverse the operations Julio performed on his number. First, we divide -175 by -7, and we get 25. Then, we add 15 to that, giving us Julio's number of 40.
Hope this helps!