Answer: The train station is located at point (5,1).
Step-by-step explanation:
Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).
A tourist information center is between bus station and train station.
i.e. tourist information center is a mid point of line joining bus station and train station.
Midpoint between (a,b) and (c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]
Let (a,b) be the coordinates of train station , then
[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]
Hence, the train station is located at point (5,1).
5(5z - 7), when z = -1
Answer:
5(5(-1)-7)
-25-35
-60
Step-by-step explanation:
Answer: -60
Step-by-step explanation:
Image!!
The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?
Answer:
10 miles per second
Step-by-step explanation:
if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).
The speed of Atlas V Rocket was 10 mile per second.
Here,
The distance travel by Atlas V Rocket was = 1 mile
Time taken = 1/10 second
We have to find the speed of Atlas V Rocket.
What is Speed?
Speed of an object is calculated as;
Speed = Distance/Time
Now,
The distance travel by Atlas V Rocket = 1 mile
Time taken = 1/10 second
Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]
Therefore, The speed of Atlas V Rocket was 10 mile per second.
Learn more about the speed visit:
https://brainly.com/question/24571540
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The reciprocal of 1/6 is
Answer:
6/1 or 6
Step-by-step explanation:
This is the answer because:
1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.
2) So when you flip the fraction, you will get 6/1 which equals 6
Hope this helps!
At a dance supply store dance pants cost $30 each and leotards cost $18 each you have $175 to spend you are going to buy 3 pairs of pants what is the greatest number of leotards you can buy
answer
4 pairs
Step-by-step explanation:
total is $175
when you buy three pairs of pants you have wasted $90
175-90 equals 85
A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? Show work and explain
4x + y = 2
I need to solve the literal equation for y.
Answer: y=2−4x
Step-by-step explanation:
When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.
(15.x + 79)
(5x + 61)
Answer:
A) 15x +79 = z
B) 15x +79 + 5x + 61 = 180
20x + 140 = 180
20x = 40
x = 2
Then using equation A)
A) 15 * 2 + 79 = z
30 + 79 =z
z = 109
Step-by-step explanation:
jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?
Answer:
The scale factor of water to flour is simply 3/5 or 3 to 5
Step-by-step explanation:
Here, we are interested in knowing the scale factor of water to flour.
To know this, we simply will rearrange the given equation;
w = 3/5f
Divide both side by f
w/f = 3/5
This shows that the scale factor of water to flour is 3 to 5 or simply 3/5
what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]
A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]
Answer:
B.
Step-by-step explanation:
Use the Distributive Property to multiply 9 and 37 in your head.
What is the answer?
Answer:
The answer is 333.
Step-by-step explanation:
Using the distributive property, you can do:
9 x 30 = 270
9 x 7 = 63
270 + 63 = 233.
Then, just check with a calculator. It's correct.
Hope this helps!
Answer: 333
Step-by-step explanation:
9x(30+7) = (9x30) + (9x7)
270+63=333
How do you do question #5?
Step-by-step explanation:
If two variables x and y are independent, then:
P(x and y) = P(x) P(y)
Or, in terms of conditional probability:
P(x given y) = P(x)
From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.
From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.
Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.
. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb
Answer:
400 feet per minute
Step-by-step explanation:
Because it's feet per minute, you'll divide 10,000 by 25
400 feet per minute
hope this is good enough
what does ="" mean ?
PLEASE GIVE BRAINLIST
equal
quotation marks
HOPE THIS HELPED
what is does p equal if 8-p = -12 -3p
Answer:
8-p=-12-3p
8+12-p = -3p
20 = -3p + p
20 = -2p
20/-2 = p
-10 = p
ans. p = -10
...
10x2-10x+2 from 8x2+7-7
Step-by-step explanation:
10x2-10x+2
20-10x+2
22-10x
8x2+7-7
16+0
16
I'm confused so I add together cuz why not?
16+22-10x
28-10x
10 [12 2+ (4 x 2)] ÷ 8 2
The line of reflection is
and the coordinates of C are
Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.
What is the constant in the expression 9y + 12
In this expression, the constant would be 12.
A constant is simply a term that has no variable next to it.
Snow is falling steadily in syyracuse ny. After two hours 4inches of snow has fallen. write an equation that gives the amount of snow that has fallen after x hours at this rate
Answer:
26
Step-by-step explanation:
For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.
Brian is planning to donate 13% of his income to charity. His weekly paycheck is $667.63. How much does Brian plan to donate?
Answer:
Brian is planning on donating $86.79.
Step-by-step explanation:
The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79
Find |-22| =
Pls show your work
Answer:
I think it's 22
Step-by-step explanation:
because it's inverse operations all you do is remove the negative and the barackets
Joe drops a pebble into the sea. The pebble drops 2 inches every second. How many inches below sea level does it drop after 6 seconds?
Answer:
12 inches
Step-by-step explanation:
Will give 100 points.
Answer:
Ф = 66.2°
Step-by-step explanation:
The formula for work as
W = Fd cos(Ф)
cos(Ф) = W / Fd
Ф = cos^(-1)〖W/Fd
Ф = cos^(-1)〖110/33(8.25) 〗
Ф = 66.2°
Answer:
Ф = 66.2°
Step-by-step explanation:
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form. Show your work. Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.
Answer:
a) 6x³ − 5x² − 39x + 35
b) no
Step-by-step explanation:
(2x − 5) (3x² + 5x − 7)
Distribute:
3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)
Distribute again:
6x³ − 15x² + 10x² − 25x − 14x + 35
Combine like terms:
6x³ − 5x² − 39x + 35
5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).
A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now
Answer:
Step-by-step explanation:
Below the sea level should be mentioned by negative value
So, It is = - 4.5
Help me withis problem please I'm bad at math.
g(x) = f(x) - 5
We subtract 5 from f(x) because we are doing a vertical shift down 5 units.
Answer: A
Step-by-step explanation:
For this problem, you would need to analyze the graph.
If you notice, both lines look pretty identical with the exception of one lower than the other. As you can see, the blue line is the same as the red line, but shifted down by 5. Therefore, you would subtract f(x) by 5. That would make A our answer.
Solve
3(4- 2)
2.
Select the correct choice below an
Answer:
6
Step-by-step explanation:
3(4-2) distribute 3
12-6
6
how many times can 2 go into 238
Answer:
i think it is 119
Express , twelve times a number minus six is less than or equal to
negative eighteen as an equation
Answer:
12x - 6 ≤ - 18
Step-by-step explanation:
We will call "a number" x so
Twelve times a number would be:
12x
Then minus 6
12x - 6
Now we add the less than or equal to sign.
12x - 6 ≤
This is equal to negative eighteen, so:
12x - 6 ≤ - 18
As a bonus we can also solve for x.
12x - 6 = - 18 Add 6 to each side.
12x - 6 + 6 = -18 + 6
12x = -18 + 6
12x = -12 Divide each side by 12
12x/12 = -12/12
x = -12/12
x = -1
So we can say when x ≤ -1 Then 12x - 6 ≤ -18
A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contestants past the finishing line qualify for the final. There are three prizes in the final for 1st, 2nd and 3rd places. One year 29 children enter the race so there are three heats, of ten, ten and nine children. One year 29 children enter the race so there are three heats, of ten, ten and nine children. 1) What is the probability that three randomly chosen competitors win prizes? 2) What is the probability that two randomly chosen competitors win prizes? 3) How many ways are there to select ten competitors for the first heat? 4) Once the competitors have been selected for the first heat, how many different groups of three qualifiers are possible from this heat
Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120
Step-by-step explanation:
1) First and Second and Third
[tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}[/tex]
2) First and Second
[tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}[/tex]
[tex]3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}[/tex]
[tex]4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}[/tex]