Two small planes start from the same point and fly in opposite directions. The first plane is flying 25 mph slower than the second plane. In 2 hrs, the planes are 470 mi apart. Find the rate of each plane.

Answers

Answer 1

Answer:

105 mph = rate of first plane

130 mph = rate of second plane

Step-by-step explanation:

Let r = rate of first plane

then r + 25 = rate of second plane

2r = distance of first plane

2(r + 25) = distance of second plane

2r + 2(r + 25) = 470

2r + 2r + 50 = 470

4r = 420

r = 105 mph

r + 25 = 130 mph


Related Questions

Which expressions are equivalent to 6x−18 ?

Answers

Answer:

x + 5x - 18, 3(2x - 6), 2(3x - 9).

Step-by-step explanation:

x + 5x - 18

6x - 18

x + x + x - 10 - 8

3x - 10 - 8

3x - 18

3(2x - 6)

6x - 18

2(3x - 9)

6x - 18

6(x - 18)

6x - 108

The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the given options,

Option A,

x + 5x - 18

6x - 18

Option, B

x + x + x - 10 - 8

3x - 10 - 8

3x - 18

Option, C

3(2x - 6)

6x - 18

Option,D

2(3x - 9)

6x - 18

Option,E

6(x - 18)

6x - 108

Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.

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Can someone please help me I will mark u brilliant

Answers

168 I think but I’m not sure

Answer: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Please help me with this ASAP ASAP please please help

Answers

Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3

Write the equation that results from transmitting the absolute value equation down 4. Y=|x|

Answers

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?

Answers

Answer:

.25 in per hour

Step-by-step explanation:

you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28

Answer:

it will be 4 inches per hour

Step-by-step explanation:

to find unit rate you will divide 28 and 7 and will get 4  

How many 10ths equivalent to 3/5

Answers

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !

Answers

Answer:

positive it is moving to the positive side of the graph

Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?

Answers

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

Need help fast!! Need steps also

Answers

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

what is the slope of the line that passes through the points (5,3) and (-4,1)

Answers

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Find ? (inscribed angle)

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.

  ? = 90°

PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER

Answers

Answer:

[tex]\sqrt{43}[/tex]

Step-by-step explanation:

original price $125 discount ? sale price $81.25

Answers

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is​ unknown? Choose the correct answer below. A. The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The​ P-value method, the traditional​ method, and the confidence interval method are equivalent and yield the same results. C. For a​ two-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 95% confidence interval. D. For a​ one-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 90% confidence interval.

Answers

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

9514 1404 393

Answer:

x = 18y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

What’s the answer helpppp

Answers

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

what is the simplified form of 48\192?
[tex] \sqrt[?]{?} [/tex]

Answers

Simplified form: 48/192=
2√48.

Classify the angle pair using all names that apply

Answers

Answer:

Adjacent

Step-by-step explanation:

∠3 and ∠4 share a common vertex & arm

Identify the Texas Governor who resigned his office in order to lead Texas Troops in the U.S. vs Mexican War.

Answers

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

Please help me solve this problem and explain the steps

Answers

Answer:

1086ft squared

Step-by-step explanation:

In triangle ABC, the measure of angle B is 50 degrees.

Give possible values for the measures of angles A and C if ABC is an acute triangle.

Answers

sup do you have the photo of your hw?

answer and show proof for brainliest

Answers

i'm confused don't all of them explain pls

Answer:

The answer is A

Step-by-step explanation:

A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.

Which system of equations has a solution of (-2,0,1)

Answers

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

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Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?

Answers

Answer:

11

Step-by-step explanation:

What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon

Answers

Answer: A pentagon
Explanation: 5 sides

. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!

Answers

Step-by-step explanation:

the last one is the answer

Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)

Answers

Answer:

-4/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-10-(-2))/(9-(-1))

m=(-10+2)/(9+1)

m=-8/10

simplify

m=-4/5

The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer

Answers

Answer:

48

Step-by-step explanation:

find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.

Answers

Answer:

sample

Step-by-step explanation:

Find the inverse of each function

1. f(x) = 4/(x+2) - 2

2. f(x)= -2x^5 - 3

Answers

9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  [tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

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