Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,
[tex]Time=\dfrac{Distance}{Speed}[/tex]
According to the question,
[tex]\dfrac{450}{315+x}=\dfrac{360}{315-x}[/tex]
Divide both sides by 90.
[tex]\dfrac{5}{315+x}=\dfrac{4}{315-x}[/tex]
By cross multiplication, we get
[tex]5(315-x)=4(315+x)[/tex]
[tex]5(315)-5x=4(315)+4x[/tex]
[tex]5(315)-4(315)=4x+5x[/tex]
[tex](5-4)315=9x[/tex]
Divide both sides by 9.
[tex]\dfrac{(1)315}{9}=x[/tex]
[tex]35=x[/tex]
Therefore, the speed of wind is 35 miles per hour.
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
factor 36a^2x - b^2
Answer:
36a2 - b2
Step-by-step explanation:
( 6a + b)( 6a - b)
36a2 - b2
6^2 a2 - b^2
x2 y2 = (xy)2
(6a)2 - b^2
(6a + b)(6a - b)
Hope that helps :)
can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)
Step-by-step explanation:
7question.
it's the first answer y=x-10/3
8th question
it's also first answer y=x-9/2
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
is it [tex]-2t^{2}[/tex] or [tex]2t^{2}[/tex]?
3,4,4,6,8,9 work out the median
Answer: suckkkkkkkdbejehejjssjsj
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
just trust me
What is the answer to this I need help ASAP lol thanks :)
Answer:
you can count by groups of 9 and there would be 4 groups
9 + 9 + 9 +9 = 36 and 36/9 = 4
WHO LIKES LARRAY
Cause I do
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
In which figure is point G a centroid?
a
b
c
d
Answer:
Step-by-step explanation:
You didn't provide us with correct choice
The centroid of a triangle is the point of intersection of its medians.
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.
The figure whose centroid is point G is triangle LMN.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, From the attached image, we have the following highlights
There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves
The lines that pass through point G divides the three sides of triangle LMN into equal halves
The above highlights mean that:
Point G is the centroid of triangle LMN.
Hence, the figure whose centroid is point G is triangle LMN.
Read more about centroids at:
brainly.com/question/1189196
#SPJ5
Explain answer
GIVING BRAINIEST
Answer:
The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].
The slope of the line graphed below would be 2.
Using the formula Rise/Run, you can solve the slope using the graph. The Rise would be equal to 2 units, with the Run being one. This means that for every 1 unit on the x-axis, there are 2 units displaced on the y-axis. Therefore, the slope would be 2/1.
ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
A) -0.8x+4.8y+16
B) 0.8x-4.8y+16
C) -0.8x-4.8y+4
D) 0.8x+4.8y+4
Answer:
The answer is A.
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y+-2.8x+-5.2y+16
2x-2.8x+10y-5.2y+16
= -0.8x+4.8y+16
why is math so hard these days?
Answer:
It's because someone added LETTERS to math.
Step-by-step explanation:
I know this because I'm suffering from this.
A brainliest for this doggo is a bone! This doggo would appreciate a bone!
M: Mental
A: Abuse
T: To
H: Humans
Answer:
Advancement in human mathematics
Step-by-step explanation:
Write an equation in Slope Intercept form with a slope of -5 and y-intercept of 4. (No spaces)
This table represents a linear function. Find the missing values to complete the table.
Answer:
(2,5) and (7,12.5)
Step-by-step explanation:
Solve for change in y over change in x using the points (3,13/2) and (6,11). You can then get the equation y=1.5x+2. Then plug in the values you are given from the missing points using the equation. Hope this helped! If it did, please mark the brainliest.
35x-12= -34x+710 answer fast too
Answer:
x=722/69
Step-by-step explanation:
Sergio works at an ice cream shop and is paid by the hour. m = 11h, where h represents the number of hours worked, and m represents the amount of money Sergio was paid. How much did Sergio make in one hour?
Answer:
he made 11 dollars
Step-by-step explanation:
the number that is touching the h is how much he is making in a hour.
Thomas has a bag with 6 purple and 5 blue marbles. If his friend Nick pulls 2 marbles from the bag, what is the probability of him getting 2 purple marbles. 30/121 30/121 21/22 21/22 3/11 3/11 11/21
Answer: 3/11
Step-by-step explanation:
Number of purple marbles = 6
Number of blue marbles = 5
Total number of marbles = 6 + 5 = 11
The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.
Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:
= 6/11 × 5/10
= 6/11 × 1/2
= 3/11
17,18,19,20,21,22,23,24. 1.From the list of numbers write down a number that is a factor of 20. 2. From the list of numbers in the list, which is a multiple of both 3 and 7
Problem 1
Answer: 20--------------------------
Explanation:
The factors of 20 are 1,2,4,5,10,20
They are numbers that pair up to multiply to 20. For instance, 5*4 = 20. We only focus on whole numbers.
In the list given to us, we see that only 20 is a factor of 20. Something like 17 is not a factor of 20, and so on for the other values.
==========================================
Problem 2
Answer: 21--------------------------
Explanation:
List out the multiples of 3 to get {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}
The stuff in bold are values found in the original list.
Now list out the multiples of 7 to get {7, 14, 21, 28, 35, 42, ...}
We can see that only 21 is found in both lists of multiples we wrote out.
Note how 3*7 = 21, which is not a coincidence.
what are the x and y intercepts of the function f(x)=x/x^2-3x
Answer:x and x2
Step-by-step explanation:
2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST
Answer:
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Step-by-step explanation:
We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]
First converting mixed fractions into improper fractions
[tex]\frac{7}{3} \times \frac{21}{5}[/tex]
Since 21 is divisible by 3 so, simplifying and multiplying
[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
I WILL GIVE BARINLEST WHO HELP ME OK
Answer:
100
Step-by-step explanation:
multiplication, 20*5.
Answer:
i would go with 100
Step-by-step explanation:
20 times 5
Write the definition of "Absolute Value” in your own words.
A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
a real number without regard to its sign.
solve the inequality for 1x + 2 > 10
Answer:
x>8
Step-by-step explanation:
Hope that helps you!!
kate ran 4 miles how far did she run in kilometers
Answer:
6.4
Step-by-step explanation:
Answer:
6.5 kilometers
Step-by-step explanation:
Determine whether the function is a polynomial function. If it is, identify the degree.
Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
3 +5.2.c = 1 - 2.87
Answer:
-0.0936538462
Step-by-step explanation:
Start by solving the right side of the equation
1 - 2.87 = -1.87
now we have:
3 + 5.2c = -1.87
subtract 3 from both sides to get:
5.2c = -4.87
divide both sides by 5.2 to get:
-0.0936538462
hope that's what you're looking for! :)
' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh
Answer:
Step-by-step explanation:
Triangle equilateral has 3 sides
3(3x+2) = 60
9x+6 =60
9x= 54
x=9
3x9 +2 = 20 One side = 20
20x3=60 3 sides = 60
Answer:
60
Step-by-step explanation: this is simple because it is lou
ILL MARK BRAINLIEST IF FAST
Select the correct answer.
Which table represents a linear function that has a greater unit rate than that of the function y = 200x + 50?
Answer:
D
Step-by-step explanation:
A unit rate is basically which one increases more as time goes on. Now. to make it easier let me explain visual.
You have 50 apples at the start and every hour you get 200 more apples, sweet!
Now let's look at the chart.
The first one is 200x+100, this is wrong since this has a better start but you don't get as much apples.
Same goes for the B and C. The only one that would make sense is D since you're also adding 10 more apples for each one you increase.
¿Cuál es el resultado? de la siguiente ecuacion 5x+2=12 *
Answer: X=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x+2=12
5x= 12-2
5x= 10
x= 10/5
x=2