A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?

Answers

Answer 1

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer 2

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph


Related Questions

write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unless it is a vertical or horizontal line.

Answers

Answer:

Y = - 7/4 X + 31/4

Step-by-step explanation:

M = 14/-8 = - 7/4

6 = - 7/4 + B

24 = -7 + 4B

31 = 4B

B = 31/4

PLS HELP (algebra 1)

solve -19d + 8(7d - 14)

Answers

Answer:

[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]

Step-by-step explanation:

[tex]-19d + 8(7d - 14)[/tex]

use the distributive property: a(b + c) = ab + ac

[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]

combine like terms

[tex]=(-19d+56d)-112=37d-112[/tex]

PLEASE HELP ASAP!!!
solve for the given variable and show your work. 3a-12b=30. solve for b.

Answers

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer

HELP ASAP PLEASE!! calculate the expected gain or loss for stock jkl

Answers

Answer: $8.50

Step-by-step explanation:

The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.

Expected gain or loss for stock JKL:

= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)

= (15% * -25) + (65% * 5) + (20% * 45)

= -3.75 + 3.25 + 9

= $8.50

Answer:8.50$

Step-by-step explanation:

A 15 foot pole extends t feet below ground and 10 feet above ground. Choose the linear equation that models the situation.

Answers

No options are given for the question :

Answer:

t + 10 = 15

Step-by-step explanation:

Given that :

Length of pole = 15 feet

Height below the ground = t

Height above the ground = 10

Tge linear equation which represents the scenario can be modeled as :

Entire length of pole = 15 feets

Length above ground = 10

Length below ground = t

Length below + length above = total length

t + 10 = 15

simplify the following radical expression -7√2 + 10 √2

Answers

Answer:

3√2

Step-by-step explanation:

* means multiply

-7√2 + 10 √2

take √2 out of the expression

√2 (-7 + 10)

√2 (3)

3√2

In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________​

Answers

Answer:

90 degrees

Step-by-step explanation:

B is the corner and angle opposite of the side AC.

so, AC is becoming side c, and the other two are a and b (it does not matter which is which).

we use the enhanced Pythagoras formula for general triangles

c² = a² + b² - 2ab×cos(C)

in our example the angle C is named B.

but other than that we simply calculate

10² = 6² + 8² - 2×6×8×cos(B)

100 = 36 + 64 - 96×cos(B)

100 = 100 - 96×cos(B)

0 = -96×cos(B)

cos(B) = 0

=>

B = 90 degrees

The equation of a circle is given below. Identify the center and the radius.
4x² + 32x + 4y2 – 20y = – 53

Answers

Answer:

Step-by-step explanation:

simplify please help me
[tex] \frac{x - 4}{x + 6} - \frac{x - 6}{x + 4} [/tex]

Answers

Answer:

[tex]\frac{20}{x^2 + 10x+24}[/tex]

Step-by-step explanation:

common denominators : (x+6)(x+4)

numerators become difference of squares

[tex]x^2 -16[/tex]   and   [tex]x^2-36[/tex]  

[tex]x^2 -16[/tex]   -   [tex]x^2-36[/tex]   = 20

(x+6)(x+4) = [tex]{x^2 + 10x+24}[/tex]

Answer:

i hope it will help you thank u

4.5 as a complex fraction

Answers

Answer:

9/2

Step-by-step explanation: I think it is the answer? I really don't know.

The sum of two numbers is 50. The larger number is 20 more than the smaller number. What are the numbers? ​

Answers

Answer:

the smaller number is 15 and the larger number is 35

Step-by-step explanation:

x+y=50

x=smaller number y=larger number

y=x+20

x+(x+20)=50

2x+20=50

2x=30

x=15

smaller number=15

larger number= 15+20=35

Answer:

Smaller: 15

Larger: 35

Step-by-step explanation:

1. Finding the two equations

Larger: y

Smaller: x

[tex]x+y=50[/tex]

[tex]y=20+x[/tex]

2. Plugging it in

[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]

[tex]15+y=50\\y=50-15\\y=35[/tex]

x=15; y=35

Hope this helped! Please mark brainliest :)

What is the value of x in the equation 4 . 10 X+52 3 +35x+1 5 ?

:)​

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Given:

[tex]4\frac{3}{10}-(2\frac{2}{5}x+5\frac{1}{2})=\frac{1}{2}(-3\frac{3}{5}x+1\frac{1}{5})[/tex]

Distribute to remove parentheses:

[tex]4\frac{3}{10}-2\frac{2}{5}x-5\frac{1}{2}=-\frac{18}{10}x+\frac{6}{10}[/tex]

For simplification and clarity, reduce all mixed numbers to simplified common fractions:

[tex]\frac{43}{10}-\frac{12}{5}x-\frac{11}{2}=-\frac{9}{5}x+\frac{3}{5}[/tex]

Combine like terms:

[tex]-\frac{12}{5}x-\frac{6}{5}=-\frac{9}{5}x+\frac{3}{5}[/tex]

Add 6/5 to both sides, then add 9/5x to both sides:

[tex]-\frac{3}{5}x=\frac{9}{5}[/tex]

Divide both sides by -3/5 to isolate x (recall dividing by a number is equal to multiplying by its reciprocal):

[tex]x=\frac{9}{5}\cdot -\frac{5}{3}, \\x=\frac{-9}{3},\\x=\boxed{-3}[/tex]

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{x}[/tex]  = [tex]\frac{1}{2}[/tex] ( cross- multiply )

x = 2[tex]\sqrt{2}[/tex]

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{\sqrt{2}}{x}[/tex]

x=2*[tex]\sqrt{2}[/tex]

The value of x is 2[tex]\sqrt{2}[/tex]

4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?

Answers

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

Find each measure

Please help me

Answers

Answer:

see explanation

Step-by-step explanation:

∠ YXW = ∠ ZXV ( vertically opposite angles ) , so

4a + 15 = 2a + 65 ( subtract 2a from both sides )

2a + 15 = 65 ( subtract 15 from both sides )

2a = 50 ( divide both sides by 2 )

a = 25

Then

(7)

∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°

(8)

∠ YXW = ∠ ZXV = 115°

∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is

(9)

∠ ZXY = 180° - 115° = 65°

(10)

∠ VXW = ∠ ZXY = 65° ( vertically opposite angles

Find the integer that lies between [tex]$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$[/tex]

Answers

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

HELPsjskskksksksksnxhxhxjsjsns

Answers

your answer would be A. -15/2 < x < 0

Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.

Answers

Answer:

Shorter

Step-by-step explanation:

When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40

At α = 0.05 ;

Tcritical, df = 40 = 2.02

Zcritical = 1.96

plz help ASAP with explanation

Answers

Answer:

19.5 cm

Step-by-step explanation:

the remaining height = 1200 /(12×8)

= 1200/96 = 12.5 cm

so, the height of the tank = 7+ 12.5 = 19.5 cm

[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]


1. Another way to think of your net earnings is
the overtime request
the employee discount
the quota that is filled
the amount of your paycheck

Answers

Answer:

amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.

Which of the following is most likely the next step in the series?
А.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because the pattern adds one angle every one shape. Ex. Triangle, Rectangle, Pentagon, Hexagon

please someone help I know the answer but I don't know how to place it on the scales below. (15 Points)

Answers

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

[tex]\dfrac{35}{100}\times 150=52.5[/tex]

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

[tex]\dfrac{113}{100}\times 55=62.15[/tex]

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours.

Answers

Answer:

406

Step-by-step explanation:

all you have to do is divide 174 by 3 and multiply 58 by 7

Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.

Answers

Answer:

25 divided by 5 equals 5

it cost 5 dollars per package

Hope This Helps!!!

Help me out please, thank you

Answers

Answer:

The answer is D (-0.7)

Step-by-step explanation:

Using d formular,a is 1,b is -5,c is -4

Input ur values and u will get ur answer

Stephanie found a sweater on sale for $12.88. The original price of the sweater was $44.95. About how much did she save on the sweater?
rounding

Answers

Answer:

$32.07

ROUNDING ANSWER : $32

Step-by-step explanation:

you would subtract $44.95 -$12.88 which would give you $32.07  

since you are rounding your answer would be $32

Hope this helps

Answer:

Stephanie saved about $32 on her new sweater.

$44.95 - $12.88 = $32.07

$32.07 rounds down to $32

Step-by-step explanation:

Have the same assignment. Hope this helps!

Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

0.1

Step-by-step explanation:

r = y/x

r = 1.4 / 14 = 0.1

Find the scale factor of the dilation. Then tell whether the
dilation is a reduction or an enlargement

Answers

Answer:

Enlargement

k =[tex]\frac{18}{4}[/tex] =  [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

k = [tex]\frac{new}{old}[/tex]

If k > 1 then its an enlargement.

If k < 1 then its a reduction

-3/11 + 5/9 can you pls explain this step by step

Answers

Answer:

[tex]\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{-3}{11} +\frac{5}{9}[/tex]

[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]

[tex]=\frac{-27+55}{99}[/tex]

[tex]=\frac{28}{99}[/tex]

28/9 but I’m not quite sure
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