An airplane flying into a headwind travels the -mile flying distance between Indianapolis, Indiana, and Phoenix, Arizona, in hours. On the return flight, the airplane travels this distance in hours and minutes. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.
Answer:
the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
Step-by-step explanation:
The values are missing in the given information in the question.
To able to solve this question, we will make some assumptions.
Let's assume that:
The airplane heading into the wind travels 1800 miles in 3 hours.
While returning via the same distance, it travels 2 hours 30 minutes.
We are to determine the plane's airspeed as well as the wind speed.
First, let us say that the speed of the plane is p and the wind speed is q
during the time the plane is traveling for 1800 miles in 3 hrs.
Then, we can say
3p -3q = 1800 ----- (1)
However, in 2hours 30 minutes, we have 2.5 hours
So, when the plane is returning, we have the following equation:
2.5p + 2.5q = 1800 ---- (2)
So, to find p and q, we can use the elimination method.
Simply by multiplying equation (1) with 5 and equation (2) with 6
(5)3p - (5)3q = (5) 1800
(6)2.5p + (6)2.5q = (6) 1800
15p - 15q = 9000
+
15p + 15q = 10800
30p - 0 = 19800
30p = 19800
p = 19800/30
p = 660
Since p = 660, then from equation (1) we can obtain the value of q:
So; Using equation (1):
3p -3q = 1800
3(660) - 3q = 1800
1980 - 3q = 1800
-3q = 1800 - 1980
-3q = -180
q = 180/3
q = 60
Therefore, the airspeed of the plane = 660 miles/hr
the speed of the wind = 60 miles/hr
a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?
Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15
Answer:
1st
Step-by-step explanation:
You need to add the numbers and then dicuvde by how many numbers are there.
Answer:
16
Step-by-step explanation:
"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.
16 + 14 + 14 + 21 + 15 = 80
80 ÷ 5 = 16
HELPP AND. D IS 10 it got cut out
Answer: 2
Step-by-step explanation:
2
Answer:
A
Step-by-step explanation:
The graft go's by twos
I need help ASAP rn please 6th grade math btw
Answer:
first
Step-by-step explanation:
A= r*pi*r = pi*r²
Answer:
A.
Step-by-step explanation:
The rearranged segments form a rectangle with length (pi)r and width r.
A = LW
A = (pi)r * r
A = (pi)r^2
Answer: A.
What is the value of x when 1/3x = 9 1/2
I'll help.
[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]
[tex]x = ?[/tex]
↓
[tex] \frac{1}{3} x = \frac{19}{2} [/tex]
[tex]x = \frac{57}{2} [/tex]
"How it can be 57 ?"
The number 19 is multiplied by the number 3 at the bottom left.
19 × 3 = 57.
If a spinner for a game is spun once, there is a 25% chance it will land on
orange. What is the chance that the spinner will not land on orange on both
the first and second spin in a game? Calculate the probability as a decimal
rounded to the nearest TENTH.
Answer:
[tex]Pr = 0.6[/tex]
Step-by-step explanation:
Given
Let
[tex]O \to Orange[/tex]
So:
[tex]P(O) = 25\%[/tex] --- probability of O
[tex]n=2[/tex] --- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:
[tex]P(O') = 1 - P(O)[/tex]
[tex]P(O') = 1 - 25\%[/tex]
Express as decimal
[tex]P(O') = 1 - 0.25[/tex]
[tex]P(O') = 0.75[/tex]
On two spins, the probability that it will not land on orange is:
[tex]Pr = P(O') * P(O')[/tex]
So, we have:
[tex]Pr = 0.75* 0.75[/tex]
[tex]Pr = 0.5625[/tex]
[tex]Pr = 0.6[/tex] --- approximated
In the circle shown, secants PE and PF have been drawn such that arc CE = 82, arc DF=98 and the ratio of arc CD to arc EF is 2:7. Determine the measure of angle P. Show how you arrived at your answer.
Answer:
m<P = 50°
Step-by-step explanation:
Given:
Arc CE = 82°
Arc DF = 98°
Ratio of arc CD to Arc EF = 2:7
Thus, let,
Arc CD = 2x
Arc EF = 7x
A full circle = 360°
Therefore,
Arc CE + Arc DF + Arc CD + Arc EF = 360°
Substitute
82° + 98° + 2x + 7x = 360°
Add like terms
180° + 9x = 360°
Subtract 180° from both sides
180° + 9x - 180° = 360° - 180°
9x = 180°
Divide both sides by 9
9x/9 = 180/9
x = 20
✔️Arc CD = 2x
Plug in the value of x
Arc CD = 2(20) = 40°
Arc EF = 7x = 7(20) = 140°
✔️Find m<P:
Recall: the measure of the external angle created when two secants intersect = half the difference of the major and minor arcs that are intercepted
Thus:
m<P = ½(arc EF - arc CD)
Substitute
m<P = ½(140° - 40°)
m<P = ½(100°)
m<P = 50°
Find y and choose the answer for brainlest
Answer:
Last answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
angle y =128 degree reason-angles x and y are supplementary angles
PLs help lots of points
Answer:
I believe it is cube A
Step-by-step explanation:
the volume of Cube B equaled 2073.6 in for me. so it would be less than cube A
Help!!!!!!!Solve for x. Round to the nearest tenth of a degree, if necessary.
Step-by-step explanation:
cos x = 59/95
x = 0.9007
round this and you have your answer
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
8
11
14
16
15
12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Most likely, you won't need to type in the percent symbol since that seems to be already done for you.
=========================================================
Explanation:
The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.
Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.
Dividing the two values gets us A/B = 3/100 = 0.03 = 3%
The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".
14. 10th
term of arthmetic
Sequence is 32 more than 7th term.If the first term is -14
find the 2nd term of the sequence
Answer:
5
Step-by-step explanation:
1
Your hose fills a swimming pool in 3 hours. When your friend's hose is used together with your hose, the pool is full in 1 hour. How long (in hours) does it take your friend's hose to fill the pool when working alone
Answer:
1.5 hours
Step-by-step explanation:
Given :
My hose = 3 hours ; my rate = 1/3
Let My friend's time = x ; his rate = 1/x
Combined time = 1 hour, combined rate = 1/1 = 1
Combined rate :
1/3 + 1/x = 1
1/x = 1 - 1/3
1/x = (3 - 1)/ 3
1/x = 2/3
Cross multiply :
3 = 2x
x = 3/2
x = 1.5 hours
150 round 2 decimal places
Answer:
[tex]150 = 150.00[/tex]
Help
Which choice is equivalent to the product below when x > 0
Answer:
D
Hope this help
Step-by-step explanation:
26 months 7 days from 51 months.
Answer:
Uhhh get it i guess
Step-by-step explanation:
Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT
Step-by-step explanation:
What does a country need to do to keep a republic, and not fall under the power of a dictator?
Answer:
Continue to provide equality for all!
Step-by-step explanation:
When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.
Hope this helps:)
Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE
[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then
Mahmoud selects a piece of fruit at random. Find the probability that two apples are chosen
Answer:1/12
Step-by-step explanation: 5/16 x 4/15 = 20/240= 1/12
Hi there I hope you are having an great day :) There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then Mahmoud selects a piece of fruit at random. Find the probability that two apples are chose. (5/16)*(4/15) Mya selects a fruit and you want it to be an apple so that is 5 apples out of 16 fruits total. After Mya selects one fruit and it is an apple, there is one less fruit and apple. So 5-1/16-1. Since the is also in one case, not two separate ones, you multiply the two fractions so (5/16)*(4/15).
Can someone help me with this fast?
Answer:
Angle B 66
Step-by-step explanation:
Complementary angles means their sum is 90
if angle 2 is 24, angle 3 is 90-24
if it is correct i will mark as brainlist or i will report
Answer: x2 - 6
Step-by-step explanation: Your welcome :)))
What is the constant of proportionality for the table below?
х
10
8
4
2
y
25
20
10
5
Ο Α. 5
B. 215
O C. 2.5
O D. 25
The area of a rectangle is 259 cm sq and its length is 18.5cm find its breadth and perimeter
Answer:
Step-by-step explanation:
let it's breadth be x
area of rectabgle=l*b
259=18.5*b
259/18.5=b
14=b
perimeter of rectangle=2(l+b)
=2(18.5+14)
=2*32.5
=65 cm
Answer:
Breadth = 14 cm
Perimeter = 65 cm
Step-by-step explanation:
Length = [tex]18.5cm[/tex]Area = [tex]259cm^{2}[/tex] = l * b
Therefore, breadth = area / length
Breath = 259 / 185 = 1.4 * 10 = 14 cm
Perimeter = 2 * (l + b)Perimeter = 2 (18.5 + 14)
Perimeter = 2 (32.5)
Therefore, perimeter = 65 cm
I hope this helps :)
Find sin S, sin R , cos S, and cos R.
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT
The rational root of the function f(x) = x³ - 3x² + 2 is - 1.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.
Now, The roots of the function is when f(a) = 0.
The last term is, 2, Hence the roots must be,
± 1, ± 2, The factors of 2.
f(-1) = - 2.
f(1) = 0.
f(-2) = - 18.
f(2) = - 2.
So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ7
If two expressions have the same factor or base. What happens to the exponents when the expression are dividing
Answer:
whats the question tho?
Step-by-step explanation:
49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb
Answer:
m = 6.43 (approx. )Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m
[tex] = > \frac{45}{7} = m[/tex]
=> 6.428571... = m
=> m = 6.43 (approx. ) (Ans)
Answer:
m = - 6 . 43
Step-by-step explanation:
49 - 3m = 4m + 4
= 49 - 4 = 4m + 3m
=45 = 7m
= 6.428571... = m
= m = 6.43
llll answer this an i will mark u brainliest
Answer: yeah the other person is right
Step-by-step explanation:
How many terms are there in this expression? 3a + b - 4c
——-
3
6
5
There's 3 terms
3a-----1
+b -----2
-4c------3