Answer:
There might be more than one way to approach this one. Here is my way:
In a word problem, always write down the information you have, clearly identifying what any variables represent. If you don't, it could lead to confusion later.
Let's let b represent the speed of the bus. Don't use a different variable for the speed of the car. Since we know it is 10 km/hr faster, let b+10 represent the speed of the car.
Let t represent the time it takes the bus to travel 200 km. Since the car takes 1 hour less, use t-1 to represent the time it takes the car.
Our basic formula for this problem is distance = rate x time
For the bus, b·t = 200 km
For the car, (b+10)·(t-1) = 200 km Be sure you're clear on these equations. Again, each equation is that vehicles speed times the amount of time it takes. Each vehicle goes 200 km.
If you're sure you understand the two equations, we an go on.
Since both expressions are equal to 200, they are equal to each other, so we can write
bt = (b+10)(t-1) Now multiply on the right side, to remove the parentheses. You probably learned the FOIL method in class.
bt = bt + 10t - 1b - 10 Again, be sure you understand this step before going on. You should do the multiplication yourself to make sure you can do it.
There is a bt on both sides of the equation, so subtract bt from both sides, to simplify things.
0 = 10t - b - 10 (I've written b instead of 1b, since 1b is the same as b)
Now we have an equation with two variables in it, so we can't solve it yet. If we go back, we see that bt = 200. If we divide both sides of this by b , we get t = 200/b. We can put this expression in place of t in our equation.
0 = 10(200/b) - b - 10
0 = 2000/b - b - 10
The fraction makes the equation very difficult to work with, so let's multiply both sides of the equation by b, remembering that we have to multiply every term in the equation by b.
b·0 = b(2000/b) - b·b - b·10
0 = 2000 - b2 -10b
Let's multiply both sides of the equation by -1 and rearrange the terms. This gives us
0 = b2 + 10b - 2000 which we can solve by factoring. You should be able to take it from here. Be sure to answer both questions.
WHOEVER GOT BEST RAP IS CROWNED
Answer:
Yeah uh
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
빛이나 빛이나 내 왕관이 빛이나
잊지마 잊지마 지난 날을 잊지마
We so fly, we so fly 전세기로 we so fly
Yeah umm 종놈 출신에 왕된 놈
미쳐버린 범 광해 flow
개천 출신에 용된 몸
그게 내가 곧 사는 법
미안 걱정은 말라고
나도 잃을건 많다고
과건 뒤주에 가두고
내걸 챙겨 다 잡수쥬
말이 안되지 yeah umm 내가 개라니 yeah
범으로 태어났지 적어도 너처럼 약하진 않지
좆밥들의 걍 재롱잔치
솔까 존나게 어이없지
싹다 죽여 난 예의 없이
새꺄 그래 너 예외없이
Flexing 난 없지
필요가 없지
Who's the king, who's the boss
다 알잖아 내 이름
입만 산 새끼들
당장 놈의 목을 쳐 ah!
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타 (hey)
대취타 (yeah) 대취타 (yeah)
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
한탕해먹고 곧바로 난 전세기로 날아
나를 담기엔 이 나란 아직 여전히 작아 (yeh)
Woo 누가 시간은 금이래
내 시간은 더 비싼데 tick tock
선비새끼들 면상에다 침을 칵 뱉어
꺾인 적이 없는 매출출출출출출출
우리 방시혁 피디는 매일 춤춤춤춤춤춤춤
참 감사하네 (ey ey) 내가 천재임에
고작 그런 이유로 약을 빨다니 애잔하기 그지없네
재능이 없는거지 뭐
원하는 건 모두 가졌지 이제는 뭘 더 가져야만 만족이 될지
내가 원했던 것 옷옷 다음은 돈돈 다음은 goal goal 이 다음은 도대체 뭐지
그 다음은 그래 뭘까 심히 느껴지는 현타 위가 없는 현상
위만 보던 난 이제 걍 아래만 보다가 이대로 착지하고파
I'm a king, I'm a boss
새겨놓아 내 이름
입만 산 새끼들
당장 놈의 주리를 틀어
I'm a king I'm a boss
다 알잖아 내 이름
입만 산 새끼들
당장 놈의 목을 쳐 ah (ah)
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타 (hey)
대취타 (yeah) 대취타 (yeah)
대취타 대취타 자 울려라 대취타
대취타 대취타 자 울려라 대취타
Step-by-step explanation:
Answer:
lol ghjghguf jx mc cjcuuuguifgkfy
How do I give points and how do I earn points HELP ME
Answer:
You can give points by asking a question. Anyone who answers that question will receive the points. You can earn points by answering questions yourself!
Step-by-step explanation:
Hope that helps!
How many solutions does the equation 5x - 7 = 5x
Answer:
No solution since the X cancel each other out!
Step-by-step explanation:
5x - 7 = 5x
-7
Answer:
5x - 7 = 5x
5x -5x = -7
x = -7
Help pls just answer if u know the answer...
Answer:
CGE
Step-by-step explanation:
angle CGE is same side interior angle
same side reffers to same side of transversal
interior refers that is between the parallel lines
Answer: CGE because the interior is parallel lignes
Step-by-step explanation:
if f={(0,2),(2,6),(3,5),(4,9)} what is f^(-1)(9)
Answer is 9 f-^1
I hope this correct :D
Which graph shows a system with an infinite number of solutions?
O A. Graph B
O B. Graph C
O C. Graph A
If there are 15 people in a room how many people is 25%
Answer:
I think there is 5 people is 25 %
Find an equation of the line, in point-slope form, that passes through (-2,3) with a slope of -4
Step-by-step explanation:
let the eqn be y - y1 = m (x - x1)
sub (-2, 3) and m = -4:
y - (-2) = -4 (x - (-2))
y + 2 = -4 (x + 2)
Topic: Coordinate Geometry
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Answer:
y-3 = -4(x+2)
Tyler purchased a DVD movie for $21.95, a box of popcorn for $3, a box of candy for $1.25, and a soda for $1.05. If he gave the cashier $30, how much change would he receive?
Answer:
16.65
Step-by-step explanation:
just need to subtract
Step-by-step explanation:
Amount spent by Tyler = $21.95+ $3+ $1.25+$1.05 = $27.25
Change=$30.00- $27.25 = $2.24
Your family is planning a 6-day trip to Florida. You estimate that it will cost $450 per day in Tampa and $600 per day in
Orlando. Your total budget is $3000. Which of the following is the system of equations that represents this situation?
Step-by-step explanation:
set day in Tampa = x
and day in orlando= Y
x +y=6 X= 6 -y
450 x + 600 y = 3000
. 450 (6 - y ) + 600 y= 3000
2700 - 450y + 600y = 3000
150y = 300
y= 2 X= 4
so Spend 4 days in Tampa and 2days in orlando
Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 17 , upper bound is 25. The point estimate of the population mean is:_______ The margin of error for the confidence interval is:_______
Answer:
Population mean = 21
Margin of error = 4
Step-by-step explanation:
Given that
Lower bound of the population is 17
Upper bound of the same population is 25
The population mean, x-bar is calculated by saying
x-bar = (lower bound + upper bound)/2
x-bar = (17 + 25)/2
x-bar = 42/2
x-bar = 21
Margin of error for the confidence interval is gotten by
E = (upper bound - lower bound)/2
E = (25 - 17)/2
E = 8/2
E = 4
Thus, the mean is 21, while the error is 4
a wooden fruit crate will hold 62 pounds of fruit. the crate already has 18 pounds of fruit in it. which inequality represents the solution set that shows the pounds of fruits ,p, that can be added to the crate
Answer:
[tex]p + 18 \leq 62[/tex]
Step-by-step explanation:
Given
[tex]Total = 62\ lb[/tex]
[tex]Current = 18\ lb[/tex]
Required
Write an inequality to represent the scenario?
Represent the additional number of pounds with p.
When p is added to the current pounds, the weight must be less than or equal to the total possible weights
In other words:
[tex]p + current \leq total[/tex]
Substitute values for current and total
[tex]p + 18 \leq 62[/tex]
Hence, the inequality that describes the scenario is: [tex]p + 18 \leq 62[/tex]
Solve this question—————-
Answer: (2, -5) (light blue answer choice)
Solving by substitution
−7x+y=−19;−2x+3y=−19
−7x+y+7x=−19+7x (Add 7x to both sides)
y=7x−19
Step: Substitute7x−19 for y in −2x+3y=−19:
−2x+3y=−19
−2x+3(7x−19)=−19
19x−57=−19 (Simplify both sides of the equation)
19x−57+57=−19+57 (Add 57 to both sides)
19x=38
19x/19 = 38/19 (Divide both sides by 19)
x=2
Step: Substitute 2 for x in y=7x−19:
y=7x−19
y=(7)(2)−19
y= −5 (Simplify both sides of the equation)
Therefore: x = 2 and y = −5
about how many 15s are there in 1525?
a.98
b.100
c.102
Answer:
C. 102
Step-by-step explanation:
You need to do 1525/15 which equals roughly 101.6 and go to the nearest answer given :)
3(3h-10)=2(2h+5) please show work
Answer:
h=8
Step-by-step explanation:
3(3h-10)=2(2h+5)
9h-30=4h+10
5h-30=10
5h=40
h=8
What is 15% of $4,800.00?
Answer:
$720
Step-by-step explanation:
Solve for the Kelvin temperature when you are given 89 degrees Fahrenheit *
Answer:
304.817K
Step-by-step explanation:
(89F-32)*5/9+273.15 = 304.817K
Given equations in standard form, you must
convert them to slope-intercept form.
Examples:
1. 2x + y = 3
2. 4x + 5y = -30
3. X - 3y = 12
4. x - y = -8
5. 4x - y = 0
6. 3x – 2y = 14
Can anyone limeade help me answer this ✨thanks✨ i- :)
Answer:
Hope this Helps!!
Step-by-step explanation:
Have an amazing day!! <33
Using π = 3.14, find the area of a circle with a radius of 5.6. Round your answer to the nearest hundredth.
Answer:
98.47
Step-by-step explanation:
A = πr²
A = (3.14)(5.6)²
According to PEMDAS exponents come before multiplication. 5.6² is 31.36
The next step is to multiply this answer by pi (3.14)
3.14*31.36 = 98.47
Like Terms have the same constant and the same exponent.
O True
O False
Answer:
i think true
Step-by-step explanation:
Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go to
positive infinity.
O As the x-values go to negative infinity, the function's
values are equal to zero
As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer: B) as the x-values go to negative infinity, the functions values go to positive infinity.
Step-by-step explanation:
As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph of the function is given below.
From the graph, if x tends to positive infinity, then the value of the function approaches to positive infinity.
Similarly, if x tends to negative infinity, then the value of the function approaches to positive infinity.
As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
The complete question is attached below.
Which statement best describes a method that can be used to sketch the graph y=|x|+1
Answer:
y is equal to x + 1
Step-by-step explanation:
Slope = -1; y-intercept = 8 write the linear equation in slope intercept form
Step-by-step explanation:
Slope intercept form is y=mx+c, where m is the slope and c is the y-intercept
y = -1*x + 8
y=-x+8
what does x equal in -4x=3
[tex]-4x=3\\x=-\frac{3}{4}[/tex]
Therefore, x equals -3/4
Which of the following expressions represents the phrase "19 less than a number"?
n + 19
n ÷ 19
19 - n
n - 19
The answer is:
n - 19
what is the domain of g?
A)-3≤g(x)≤4
B)-4≤g(x)≤4
C)-6≤g(x)≤4
D)-7≤g(x)≤4
A.1
B.4
C2
D3
E5
F6
Check all that apply.
Answer:
A. B. C. D.
Step-by-step explanation:
You can find the angles of all of those easily just from angle 1, but for angle 5 and 6 you can't
to find angle one it's obviously what it says
to find 2 and 4 you do 180-whatever angle one is
to find angle 3 it's the exact same of angle one because they are like opposite or whatever.
in a two-digit number, the units digit is six less than three times the tens digit. Four times the unit digit minus five times the tens digit equals 11. Find the digits
Answer: There is a two-digit number . whose units digit is . six less than the tens digit. Four times the tens digit . plus five times the units digit equal
51. x - 6 = y
. 4x + 5y = 51.
4x - 4y = 24.
9y = 27. y = 3, x = 9.
The number is 93.
Step-by-step explanation: pls mark brainliest
How can I resolve (with steps) 2*(4^2x+3) = 1/8
Answer:
-47/256
Step-by-step explanation:
Divided both sides by 2
2(4^2+3)/2=1/8/2
Simplify
16x+3=1/16
Subtract 3 from both sides
16x+3-3=1/16-3
Simplify
16x=-47/16
Divided both sides by 16
16x/16=-47/16/16
Simplify
x=-47/256
Hope this helped! :)
Answer:
rephrase the question plz
Step-by-step explanation:
