Solve the distance, rate, time problem using a system of two linear equations in two variables.

A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.

Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.

Answers

Answer 1

Answer:

960 would be correct becasue it says it in the problem.


Related Questions

answer correctly!!!!

Answers

Answer:

Y= 0

Step-by-step explanation:

Because y=4 it would be a straight horizontal line so the other line would have to be horizontal

Best and Correct answer gets BRAINLIEST!!!

Answers

Answer:

3/2

Step-by-step explanation:

K = Y/X

PLS HELP!!! I am gonna fail

Answers

Answer:

Help with what? You didn't post anything.

Step-by-step explanation:

i don’t see a picture there

What would this question look like after we change the mixed number to improper & use KCF to rewrite the question?
h) 3 1/2 divided by 1/3 =
A) 7/2 x 1/3
B) 7/2 x 3/1
C) 6/2 x 1/3
D) 7x3
Hurry !!

Answers

Answer:

The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]

Option B is correct option.

Step-by-step explanation:

We need to change the mixed number to improper & use KCF to rewrite the question.

The expression is: [tex]3\frac{1}{2}\div\frac{1}{3}[/tex]

First converting mixed fraction into improper fraction

Multiply whole number with the denominator i,e (3*2=6) now add the numerator i.e (6+1) = 7/2

Solving:

[tex]3\frac{1}{2}\div\frac{1}{3}\\=\frac{7}{2}\div\frac{1}{3}[/tex]

Using KCF

KCF stands fro Keep it, Change it, Flip it.

It is used when division sign is converted to multiplication the term (1/3) is reversed to (3/1)

So, our expression will be

[tex]=\frac{7}{2}\times \frac{3}{1}[/tex]

So, The question [tex]3\frac{1}{2}\div\frac{1}{3}[/tex] after change the mixed number to improper & using KCF will become : [tex]\mathbf{=\frac{7}{2}\times \frac{3}{1}}[/tex]

Option B is correct option.

A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.

Which of the following best describes the method used by the principal?

It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.

Answers

Answer: It's an unfair method because two or more students could get the same results./ D

Step-by-step explanation: hope this helps

Answer:

B. It's a fair method because each result is an equally likely possible outcome.

Step-by-step-explanation :

According to the question , there are a total of 6 students to be selected by the principal.  

So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.

Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]

The  probability that a student will choose one number :[tex]\frac{1}{36}[/tex]

Thus, the selection of each student is given by the number

[tex]\frac{1}{36}[/tex]

So,each result is an equally likely possible outcome.

So, the principal choose a fair method.

directions - solve the liner system. enter your answer as an ordered pair. 2x + 3y = 31 y = x + 7

Answers

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

HELP ME PLEASE I WILL PUT U AS BRILLIANT

Answers

Answer:

2 and 1/4

Step-by-step explanation:

3.5 - 1.25 = 2.25

2.25 as a mixed number is 2 and 1/4

which is greater 0.25 or 0.04

Answers

Answer:

0.25

Step-by-step explanation:

ez

Answer:

.25

Step-by-step explanation:

What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)

Answers

Answer:

750

Step-by-step explanation:

brainliest please

Answer: positive

Step-by-step explanation:

two negatives equals a positive

I need help ASAP

A manufacturer can produce 1 plastic bowl in 1 minute

Which graph models a relationship with the same unit rate

Answers

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ5

which of the following inequalities matches the graph?​

Answers

The correct answer is b, x < -3.
Since the area shaded is left of x = -3, x has to be less than -3.

To determine the number of trout in a​ lake, a conservationist catches 94 ​trout, tags them and throws them back into the lake.​ Later, 30 trout are​ caught; 10 of them are tagged. How many trout would the conservationist expect to be in the​ lake?

Answers

Answer:

She would expect to find about 282 fish in the lake.

Step-by-step explanation:

Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?

Answers

55.25. You multiply 0.40 by 85 and you’ll get 34, subtract 85 by 34 and you’ll get 51. Then you multiply 0.05 by 85 and get 4.25. Add 4.25 by 51 and you’ll get 55.25.

What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31

Answers

Answer:

D. 31

Step-by-step explanation:

Given:

[tex] f(x) = 4x^3 - 10 [/tex]

[tex] g(x) = \frac{3x - 4}{2} [/tex]

Required:

The value of g(f(2))

First, find f(2).

Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].

[tex] f(2) = 4(2)^3 - 10 [/tex]

[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]

[tex] f(2) = 22 [/tex]

Next, find g(f(2)).

[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]

[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = \frac{62}{2} [/tex]

[tex] g(f(x)) = 31 [/tex]

Based on the graph below, what is f(2)?

0

1

2

-2

Answers

Answer:

the answer is 2 or c good luck

Answer:

C. 2

Step-by-step explanation:

What is the volume of a cylinder, in cubic ft, with a height of 9ft and a base diameter
of 16ft? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder is: Volume=1808.64 ft³

Step-by-step explanation:

Height of cylinder = 9 ft

Base diameter of cylinder = 16 ft

We need to find volume of cylinder .

The formula used is: [tex]Volume=\pi r^2h[/tex]

We need radius:

The radius = diameter/2 = 16/2 = 8 ft

Putting values and finding volume of cylinder

[tex]Volume=\pi r^2h[/tex]

[tex]Volume=3.14\times (8)^2\times (9) \\Volume=3.14\times 64\times (9) \\Volume=1808.64 \: ft^3[/tex]

So, Volume of cylinder is: Volume=1808.64 ft³

Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior

Answers

Answer:

they are alternate interior angles my guy.

We can conclude from the figure that angles 2 and 3 are same side interior

Trigonometry identity

From the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.

The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior angles

From the diagram, we can conclude that angles 2 and 3 are same side interior

Learn more on interior angles here; https://brainly.com/question/7888180

10 times as much as 72.67

Answers

Answer:

726.7 hope this helps

A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.

Answers

Answer:

Price demand function

Step-by-step explanation:

The price demand function is the function in which there is a relationship between the demand and the price of the product

The Price demand function is

[tex]= Price \times demand[/tex]

[tex]= p \times x[/tex]

hence, the price demand function represents that there is a relationship that lies between the demand and the price

12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?

Answers

Answer:

The scale factor should be 4

Step-by-step explanation:

sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))

Answer:

3/4...............

Step-by-step explanation:

have a nice day

please help asap will give brainliest

Answers

Answer:

of course three units ..

Wendy stops running
A.Speed
B.Velocity
C.Acceleration

Answers

Answer:

i think is c tell me if im right

It should be C velocity

Applications of Quadratic Functions. Please help! Ignore C. I keep getting imaginary numbers. Am I supposed to get imaginary numbers? 9 points!

Answers

Answer:

Step-by-step explanation:

1.

a)

Find the vertex by completing the square to answer both a and b

d)

x-ints is when y=0

so use quadratic equation for

b^2-20b+200=0

a=1

b= -20

c=200

But notice these imaginary numbers means 0 x intercepts.

solve -8x greater than or equal to
2

Answers

Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]  

I hope this helps!

Help PLEASE PICTURE BELOW!!

Answers

Answer:

table d

Step-by-step explanation:

functions can not have the same input twice

Answer:

A B and C repreasent functions

Step-by-step explanation:

Which of the following are not polynomials?

Answers

Aaaaaaaaaaaaaaaa and bbbbbbbbbbbbbbb

Answer:

A

C

and
D

Step-by-step explanation:

given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t

Answers

9514 1404 393

Answer:

  x = (rs -t)/(3r)

Step-by-step explanation:

  [tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]

1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral

Answers

The answer should be C: Obtuse, Scalene Have a nice day!

A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.

Answers

Answer:

48 minutes

Step-by-step explanation:

2h = 110 miles

1h = 110 ÷ 2

    = 55 miles

Therefore, the speed of the entire journey is 55 miles per hour.

1h = 60 minutes

55 miles = 1h

55 miles = 60 minutes

44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes

              = 48 minutes

Solve the question above please <3

Answers

Answer is D, sorry if I am wrong
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