An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is ____ ▼ mph miles hour and the speed of the wind is ____ ▼ mph. hour miles
Answer:
630 and 90 respectively
Step-by-step explanation:
Let the speed of wind be x and the plane speed be y
ATQ, (y+x)*3=2160 and (y-x)*4=2160. Solving it, we will get x=90 and y=630
The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind.
Let 'x' be the speed of the plane and 'y' be the speed of the wind. Then the equations are given as,
x + y = (2160 / 3)
x + y = 720 ...1
x - y = (2160 / 4)
x - y = 540 ...2
Add equations 1 and 2, then we have
2x = 720 + 540
x = 1260 / 2
x = 630 miles per hour
Then the value of 'y' is calculated as,
630 + y = 720
y = 90 miles per hour
The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.
More about the solution of the equation link is given below.
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The probability that there will be a tornado in Tulsa, Oklahoma, each day of the summer depends on the humidity of the day in question. If the air is dry on a given day, there is a 0.5 percent chance of a tornado in Tulsa, if the air is humid on that day. there is a 5 percent chance of a tomado. On July 1, 2019, local news reported that there was 40 percent chance of the air being humid. What is the probability that there was a
tornado in Tulsa on July 1, 2019?
a) 0.003
B) 0.020
C)0.023
D) 0.040
E) 0.060
We solve this question building the probabilities outcomes.
According to this, it is found that the probability is: 0.023, given by option C.
The probabilities are:
40% = 0.4 probability of the air being humid.If humid, 5% = 0.05 probability of a tornado.100 - 40 = 60% = 0.6 probability of the air being dry.If dry, 0.5% = 0.005 probability of a tornado.What is the probability that there was a tornado in Tulsa on July 1, 2019?
Two possible outcomes:
0.05 of 0.4(humid)0.005 of 0.6(dry)Thus:
[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]
0.023 probability, and the correct answer is given by option C.
A similar problem is given at: https://brainly.com/question/16967884
Please help me answer this
9514 1404 393
Answer:
B.
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
Here, we have a distance of 20 miles. The speed upstream will be 15-c, and the speed downstream will be 15+c. The total time for the two 20-mile trips upstream and back will be ...
20/(15 -c) +20/(15 +c) = 4 . . . . . . matches choice B
Plzzz I’m giving a away 25 points
Answer:
sin ß = opposite / hypotenuse
sin45° = x / 4√2
Cross multiply
x = sin 45° × 4√2
x = √2/2 × 4√2
x = 4 × √2 ×√2 / 2
x = 4 × 2 / 2
x = 8 / 2
x = 4
accountancy
So i have to make trial balance and im kinda confused with 'interest'. So which side did it go to? Credit or debit? It didn't state the interest as received or expense/paid. someone told me to look at the bank but hey i need more explanation T^T
Evaluate the expression.
I-4|
PLEASE HELP BAHIAJSUEKSJN
Answer:
the answer is 4
Step-by-step explanation:
the answer will be positive
Find the odds:
A bag contains 6 red marbles, 8 blue marbles, and 9 green marbles. What are the odds of choosing a red marble?
Answer:
6/23
Step-by-step explanation:
First, find the total number of marbles:
6 + 8 + 9
= 23
There are 6 red marbles out of the 23.
So, the odds of choosing one will be 6/23.
Lines of symmetry give e the answer
Answer:
4
Step-by-step explanation:
There are 4 reflectional symmetry
SOMEONE HELP FOR 15 POINTS
Answer:
Step-by-step explanation:
Hint:
a² - 9a + 15 = (a-7)(a-2)
a² + 9a + 15 = (a+7)(a+2)
a² + 3a - 10 = (a-2)(a+5)
a² + 5a - 14 = (a-2)(a+7)
a² - 5a - 14 = (a-7)(a+2)
the sum of (a-b)^2 and (a+b)^2
Answer:
sum is 2(a² + b²)
Step-by-step explanation:
[tex] {(a - b)}^{2} + {(a + b)}^{2} \\ = ( {a}^{2} - 2ab + {b}^{2} ) + ( {a}^{2} + 2ab + {b}^{2} ) \\ = 2 {a}^{2} + 2 {b}^{2} \\ = 2( {a}^{2} + {b}^{2} )[/tex]
A cylindrical tin has a radius of 3 cm. What is the shortes length of a string that can be wound once round the curved surface of the tin?(Takeby =3.14)
Answer:
[tex]\pi = \frac{22}{7} [/tex]
Use this OK bro.
The shortest length (circumference) of the string is 18.84cm.
What is the circumference?The circumference is that certain length that requires to enclose a circle with respective of a fixed length known as radius. If radius of cylinder be r, then the circumference will be 2πr.
How to calculate the shortest length of the string to wound the cylinder once?The required length of the string is the circumference of the base of the cylinder.
The radius of the cylinder is 3cm.
Taking π=3.14, the circumference will be : 2*3.14*3cm
=18.84cm
The shortest length of the string is 18.84cm.
Learn more about the circumference of circle hgere :
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In one area, the lowest angle of elevation of the sun in winter is 24degrees Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary. PLEASE HELP ASAP
Answer:
round answer is : 10 ft
Step-by-step explanation:
The explanation is in the picture!
Find m< RPS please! I really need help fast!!!!
Answer:RPS is 90 degrees...
What is the volume of the cylinder below?
Height 4
Radius 7
Answer:
V ≈ 615.75
r Radius 7
h Height 4
round to
237 divide by 4 = (hundredths)
What is the volume of this rectangular pyramid?
_____ cubic millimeters
Answer:
Step-by-step explanation:
L = 9 mm
W = 9 mm
H = 10 mm
volume = LWH/3 = 9·9·10/3 = 270 mm³
Look at the image for the question below
Answer:
348 km³
Step-by-step explanation:
Volume = base area×height
base area = 5.8×12/2 = 34.8 km²
volume = 34.8×10 = 348 km³
Which expression does NOT equal to 10
_
12
I believe your answer is D
Answer:
option(d)
Step-by-step explanation:
5/12 + 4/12 + 3/12 + 2/12 + 1/12
=> (5+4+3+2+1)/12
=> 15/12 ≠ 10/12
Ms. Lowder has 2 children, one in first grade and one in fifth grade. Both children need paper for school. Paper costs $2.29 per pack. If the first grader needs 2 packs of paper and the fifth grader needs 6 packs of paper, how much money will Ms. Lowder spend on paper?
the answer is she spend $18.32
Simplify your answer as much as possible.
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end
Answer:
plane
Step-by-step explanation:
The two-dimensional set of points that has no beginning or end is described by the undefined geometric term is plane.
Solve for x^2=18
Please help
what is a 200% increase of 50
Answer:
150
Step-by-step explanation:
Increase = New Number - Original Number.
divide the increase by the original number and multiply the answer by 100.
I hope this helped! :)Help please??????????????
Answer:
9.8
Step-by-step explanation:
a geometric sequence means we multiply the previous element by a certain factor to get the next element.
so, all we need to do is determine the factor used to go from one element in the list to the next.
a1 = 9
a2 = 88.2
a3 = 864.36
a4 = 8470.728
the simplest case is usually the case from a1 to a2.
a2 = a1×f
88.2 = 9×f
f = 88.2/9 = 9.8
we are finished here.
but we can control our result and verify with the other given elements.
88.2 × 9.8 = 864.36
and that is a3. fits.
864.36 × 9.8 = 8470.728
and that is a4.
so, all fits, we are correct.
Answer:
the common ratio is 9.8
just divide the term with it's previous term
eg. 88.2/9 , 864.36/88.2
hurry
What is the measure of the unknown angle?
Image of a straight angle divided into two angles. One angle is forty two degrees and the other is unknown.
Answer:
x = 138
Step-by-step explanation:
A straight line is 180
x+ 42 = 180
X = 180-42
x = 138
A bottle contains 750 milliliters of juice. How many liters of juice are in 60 bottles?
Please include an explanation!
Answer:
It is 45. 1000 Millileters are in a liter. 750 x 60 = 45000. 45000/1000 = 45.
Step-by-step explanation:
In a certain year Congress debated a bill. A poll of 1000 Americans indicated 401 opposed 293 favored 306 not sure. What is the probability that random person was in favor
PLEASE help me solve this!!!!
1. log2^64
2. log11^121
3. log8^512
4. log4^1/16
Here are all of the answers to these four questions:
1. log2^64=6, or 2 to the power of 6=64.
2. log11^121=2, or 11²=121.
3. log8^512=3, or 8³=512.
4. log4^1/16=-2, or 4 to the negative second (-2) power.
I hope that this answered your question.
Yeah, so the answer is 6, 2, 3, and -2.
Simplify the following expression
Answer:
[tex]\frac{98p^{6}}{q}[/tex]
Step-by-step explanation:
Distribute the exponents
[tex](\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}[/tex]
[tex](\frac{q}{98p^{6}} )^{-1}[/tex]
Distribute the -1
[tex]\frac{98p^{6}}{q}[/tex]
Find A when =$275 , R=0,09 and T=4 in the formula A=prt
Answer:
A = $99
Step-by-step explanation:
Substitute the values for the variables and multiply them together.
[tex]A=prt\\A=(275)(0.09)(4)\\A=99[/tex]