Mathematics College

Flying against the wind, a jet travels 3780 miles in 6 hours. Flying with the wind, the same jet travels 5950miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? 1111 Rate of the jet in still air: ​

Answers

Answer 1

The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

The given parameters;

distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hours

Let the rate of the jet in still air = R₁

Let the rate of the wind = R₂

The rate of the jet against the wind:

[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]

The rate of the jet with the wind:

[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]

The rate of the jet in still air is calculated as follows;

[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]

The rate of the wind is calculated as follows;

[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]

Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

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Related Questions

please help me :(!!!!

Answers

Answer: (3,9)

Step-by-step explanation:

They're asking which ordered pair [tex](x,y)[/tex] satisfies both equations when you plug in [tex]x[/tex] and [tex]y[/tex]. Well since you're plugging in the same [tex]y[/tex] to both equations, [tex]3x[/tex] should equal [tex]2x + 3[/tex] (think about it). And solving [tex]3x = 2x + 3[/tex] gives [tex]x = 3[/tex], so the answer is

[tex](x,y) = \boxed{(3, 9)}[/tex]

Write an equation for the nth term of the arithmetic sequence 7,2,-3,-8,

Answers

Answer:

-5n+12

Step-by-step explanation:

find the difference which is -5

then find the difference from -5 to 7 which is 12

put it in the sequence

-5n+12

Answer:

-5n+12 that would be your equation                                        

What is the answer for my question

33.22 x 34.98 =

Answers

Answer:

1162.0356

Step-by-step explanation:

Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

1.2×2.8

= (2-0.8)(2+0.8)

= (2)^2 - (0.8)^2

= 4 - 0.64

= 3.36

Answer:

3.36

Hope it helps.

Do comment if you have any query

Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?

Answers

Answer: 63 votes

Step-by-step explanation:

Simply multiply 81 by 7/9 to get the answer, 63 votes.

Hope it helps :) and let me know if you want me to elaborate.

63

Step-by-step explanation:

(7/9) x 81 = 63

HELP ME PLEASE !!!!!!!!

Answers

the picture is black and i can’t see the question, maybe reupload the question??

mark is paid $12.45 and hour at his job.he works a shift of 4 hours and 20minutes. how much does john earn for this shift?​

Answers

Answer:

$53.95

Step-by-step explanation:

[Setting up an equation] 12.45x = y

         () x is time worked and y is money made

[Plugging-in time worked] 12.45(4 [tex]\frac{1}{3}[/tex]) = y

[Multiply] 53.95 = y

[Answer] y = $53.95

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Estimate 5 x 212 and get the answer

Answers

5x212= 1,060 . Estimate would probably be like 1050?

Answer: 1,055 or 1,059

Step-by-step explanation: (5)(212)                                                                       1060                                                                                                                          If I were to estimate (5)(212) without solving the answer would be in the 1,050+ range. But if I solve it without estimating the answer is 1,060.

please someone helpppp meeeeee

Answers

Answer:

b

Step-by-step explanation:

236

Answer:

my answer is C/386

Step-by-step explanation:

x/2+74+42+77=x

what is the slope of the line on the graph​

Answers

Answer:

(6,0) (-6,0)

Step-by-step explanation:

sorry kung mali pero sana makahelp

Help !!!!!!!!!!!!!!!!’

Answers

it is not a polynomial

Please help Fraction yes or no

Answers

Answer:

Hmm I would say maybe yes

Step-by-step explanation:

PLZZ HELP!! I just dont understand it correctly

Answers

Answer:

Aidan can expect to save about $17.63 each week.

Step-by-step explanation:

We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.

Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.

The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)

helppppp meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

D 104

Step-by-step explanation:

A and b are too small to have $71 left. C is also not enough if he had $71 left.

10) For the holidays, Judy wants to spray fake snow around
the perimeter of her front store window and along both
diagonals. How many feet of snow will she be spraying?
8 feet
15 feet

Answers

Answer:i dont know sorry

Step-by-step explanation:

Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?

Answers

Answer:

Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.

Step-by-step explanation:

To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)

V = 3.14(r^2)(h)

3.14(6^2)(18)

3.14(36)(18)

3.14(648)

V = about 2034.7 centimeters

27 red bikes out of 33 bikes

Answers

The total is 33 bikes. 27 out of the 33 bikes are red. Therefore, we have a number of parts to a whole, so we can create a fraction to calculate the percentage of red bikes.

27/33 = .818

.818 x 100 = 81.81%.

• To calculate a percentage, divide the numerator by the denominator and multiply by 100. Here’s a formula to remember: n/d•100, where n=numerator and d=denominator.

Therefore, 81.81% of the bikes are red.

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NEED RATIONAL

G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?

Answers

Ur mom is always welcome and you are a

Which equation could be represented by the number line?

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

I believe it is D..

Hopefully, this helps you!

[tex]Sokka[/tex]

Answer:

I think it is C.

Step-by-step explanation:

It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.

In the formula D = 1 ÷ f, if f is equal to -0.025, then D is equal to

Answers

The answer is D= -40
I’m assuming that you can’t use a calculator in my work:

To solve this I changed the decimal -0.025 into a fraction .25 equals 1/4 so -0.025 must equal negative 1/40. -1/(1/40) equals -40

A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly​ selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. A. 0.4332 B. 0.0668 C. 0.5000 D. 0.9332

Answers

P(200 ≤ x ≤ 275) = 0.4332

Juan exercises more than 30 minutes per day.
Use t to represent Juan's amount of exercise (in minutes per day).

Answers

Answer:
Well, it depends on how many days he exercises. If Juan exercises for 30 minutes a day, multiple 30 by how many days he exercises.
Example:
1 Day = 30 Minutes
2 Days = 60 Minutes / 1 Hour
3 Days = 90 Minutes / 1 Hour, 30 Minutes
4 Days = 120 Minutes / 2 Hours
5 Days = 150 Minutes / 2 Hours, 30 Minutes
6 Days = 180 Minutes / 3 Hours
7 Days = 210 Minutes / 3 Hours, 30 Minutes
And so on..., hope this helps! :)
t > 30 is the answer because that is the answer in inequality format

1
Write the equation
for this line in
slope-intercept form.
y = -2x + [?]
4-3-4-1
34
op
A 4
B. 2
C -2
D. -12

Answers

Answer:

A, -4 is the answer

Step-by-step explanation:

it intersects there

whats 1/2 + 8/11 please explain by step by step

Answers

REFER THE PICTURE FOR YOUR ANSWER !!

Whats 1/2 + 8/11

___________________

= 1/2 + 8/11

= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)

= 11/22 + (8 × 2)/(11 × 2)

= 11/22 + 16/22

= (11 + 16)/22

= 27/22

= 1 5/22 ☑️

When a common denominator is found for the fractions 2/5 and 5/6, what will the equivalent fractions be

Answers

The equivalent fractions will be 12/30 and 25/30

Given the fraction 2/5 and 5/6

Their respective denominator are 5 and 6

To make them the same, we will multiply the value of 5 by 6 and the value of 6 by 5

For the deniminator of 5, the equivalent denominator is (5*6) = 30

For the denominator of 6, the equivalent denominator is (6*5) = 30

Equivalent fraction for 2/5 = 2/5 * 6/6

Equivalent fraction of 2/5 = 12/30

Equivalent fraction for 5/6 = 5/6 * 5/5

Equivalent fraction of 2/5 = 25/30

Hence the equivalent fractions will be 12/30 and 25/30

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Select the geometric figure that correctly matches with the following formula:

A=LW

Answers

Answer:

Square because the area of a square is length times width.

The formula matches with square.

What is Geometry?

A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids

As,

First, Area of circle  = πr²

Hence, it is not possible.

Second, square

Area of square = l * b = LW

Similarly for trapezium

Area= 1/2( a+ b)* h

Hence, the formula matches with square figure.

Learn more about geometry here:

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how can you determine whether two systems of equations are equivalent?

Answers

Two systems of equations are equivalent if they have they have the same solution/solutions.

Use the figure below to find the values of x and y

Answers

Answer:

x=68 and y = 112

Step-by-step explanation:

angles of a triangle must equal 180, so

52°+60°+x°=180

112+x=180 <-- subtract 112 to get x on one side.

x=68

To solve for y, a straight line = 180 so

68+y=180 --> just subtract 180-68

y=112

Write an equation of the line that passes through (−2,3) and (0,8).

An equation is y=
.

Answers

Answer:

Step-by-step explanation:

y = mx + b

b is the y intercept and occurs where x = 0. One of our select points has an x value of 0, therefore b = 8

m is the slope and is found as the change in y over the change in x

m = Δy/Δx = (8 - 3) / (0 - (-2)) = 5/2

y = 5x/2 + 8

On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB. How
many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.?

Answers

Answer:

1.24 times as intense

Step-by-step explanation:

The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

What is the average rate of change?

Let the function y = f(x).

Then the average rate of change will be

Average rate of change = (y₂ - y₁) / (x₂ - x₁)

On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.

Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be

⇒ (100 – 124) / 100

⇒ -0.24

Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

More about the average rate of change link is given below.

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