18. Two planes left an airport at the same time. One flew north at a set speed and the other

flew south at one-and-a-half times the speed of the other plane. Three hours later the planes

were 2400 miles apart. How fast was each plane flying?

Answers

Answer 1

Answer: plane A = 333.33mph

Plane B = 500mph

Step-by-step explanation:

Given data:

Distance between the two planes = 2400miles.

Plane A flew North

Plane B flew south

Solution:

Let v represent plane A.

Let 2v represent plane B.

Distance between the two plane

v + 1.5* v = 3*v

7.5v = 2500miles

v = 333.33mph

Plane B has one and half times the speed of plane A

= 1.5 * 333.33

= 500mph


Related Questions

i need help. it’s due tonight.thank you

Answers

Answer:28

Step-by-step explanation:

T7 = 35 hope this helps

in trigonometry sec/cosec?is what​

Answers

Answer:

tan x

Step-by-step explanation:

Using the trigonometric identities

secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex] , then

[tex]\frac{secx}{cosecx}[/tex]

= [tex]\frac{\frac{1}{cosx} }{\frac{1}{sinx} }[/tex]

= [tex]\frac{1}{cosx}[/tex] × sinx

= [tex]\frac{sinx}{cosx}[/tex]

= tan x

295 words in 6 minutes ; What are the words/min.? (round to the nearest tenth)

a
49.0 words/min
b
49.2 words/min
c
49.1 words/min
d
49.16 words/min

Answers

Answer:B. 49.2 words/min

Step-by-step explanation:

B) 49.2 words/min because 295 divided by 6 minutes is 49.2 rounded to the nearest tenth

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

If 3 pounds of apples cost $1.89 how much do 5 pounds cost

Answers

Answer:

$3.15

Step-by-step explanation:

divided by 3 then multiplied by 5

give brainliest please!

Answer:

3.15

Step-by-step explanation:

The perimeter of a square that has been enlarged by the same number of inches on each side is represented by the expression (X +
6) + (x + 6) + (x + 6) + (x + 6).
Which expression is equivalent to (x + 6) + (x + 6) + (x + 6) + (x + 6)?
A)
4 + (x + 6)
B)
4(x + 6)
c
4x + 6
D)
X - 24

Answers

B is the answer 4(x+6)

What is the surface area of each solid to the nearest tenth

Answers

Answer:

192in

Step-by-step explanation:

I need help fast please help

Answers

A’ is (-3,8) B’ is (4,4) and C’ is (-1,1)

IF s = -4 and t = 2 , what is 3s + 6t?​

Answers

Answer:

0.

-12 + 12 = 0

Step-by-step explanation:

3(-4) + 6(2) (multiply)

-12 + 12 = 0

Find the area of the circle. Round your answer to two decimal places, if necessary.
34 yd
Az
yo2

Answers

Answer:

Area of the circle ≈ 907.92 yd²

Step-by-step explanation:

Diameter of circle = 34 yd

Radius = ½(34) = 17 yd

Area of a circle = [tex] \pi r^2 [/tex]

Area of the circle = [tex] \pi \times 17^2 [/tex]

= [tex] \pi \times 289 [/tex]

Area of the circle ≈ 907.92 yd² (approximated bro 2 d.p)

Find the slope and the y-intercept of the graph of y - 3.5 = -2x

thanks if you help!!

Answers

Answer:

Slope is -2 and y intercept is 3.5

Step-by-step explanation:

Basically you change it into slope intercept form by adding 3.5 on both sides to get y by itself, then you have the slope and the y intercept.

could you solve x. If possible could you be fast with it 2x+3=5x+3–3x

Answers

Answer:

3 = 3 (infinitely many solutions)

Step-by-step explanation:

Find all polar coordinates of point P where P = (9,pi divided by 5).

Answers

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

Describe the slope of the line.

m =???

excuse the crack!!

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Michael has a set of 24 math problems to do for homework. Michael completed of his homework
3
in
of an hour. If he continues at this rate, what fraction of his homework would he complete in one
hour?

Answers

Answer:

3/8 easy-peasy

Step-by-step explanation:

A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to keep the pole from leaning. The stake for the cable is set in the ground 18 feet away from the base of the pole, as shown. How long is the support cable?

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

What do 89/90 equal but not as a decimal or a percent as a fraction HELP ME

Answers

Answer:

it equals 89/90

Step-by-step explanation:

the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.

HELP !! emergency !!!!

Answers

7x+15=9x-1
15=2x-1
16=2x
8=x
x=8

Answer:

Step-by-step explanation:

The laws of angles say that angles opposite the vertex (as in this case) are equal

So

(7x + 15)° = (9x - 1)°

let's remove the ° just so as not to get confused

7x + 15 = 9x - 1

To solve we must move the Xs on one side of the = sign and the free numbers on the other. For that, we must do the same operations on both sides. If we subtract from one, from the other also, and so on.

So we are going to substract 15

(7x + 15) - 15 = (9x - 1) -15

It result:

7x = 9x - 16

We are going to substract 9x

(7x) - 9x = (9x - 16) - 9x

It result:

7x - 9x = -16

-2x = -16

We are going to change the signs (ON BOTH SIDES)

2x = 16

x = 8

now we have the value of X

we substitute x in the equations

7(8) + 15 = 9(8) - 1

56 + 15 = 72 - 1

71 = 71

So, the angles are 71°

And the Value of X is 8°

Find three consecutive integers whose sum is -3.

Answers

Answer:

-2, -1, 0

Step-by-step explanation:

Let the integers be:

n, n + 1 and n + 2

Then we have the sum:

n + n + 1 + n + 2 = -33n + 3 = -33n = -6n = -2

So the numbers are: -2, -1, 0

Gerardo castro rented a act for 4 days at 45 per day, and drove the car 600 miles at $0.22 per mile. He spent $50.00 for gasoline and purchased a collision waiver for $12.00 per day. What is the total cost for renting the car?

Answers

Answer:

410

Step-by-step explanation:

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?

Answers

Answer: Water: The battle between the clean vs the dirty :P

Step-by-step explanation:

A triangle has exactly three sides. Prove the conditional by proving the contrapositive. If a polygon has more than three sides, then it is not a triangle. Contrapositive: If _____, then _____. Since ______, the contrapositive is _____, the original statement must be _____.

Answers

Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true

In a Petri dish there are currently 1,235 bacteria. The growth rate of bacteria is 3.25% How many bacteria will be there in the dish after 5 hours

Answers

Answer:

....

Step-by-step explanation:

Answer:

1,436

Step-by-step explanation:

First multiply the growth rate by the number of hours.

3.25 x 5 = 16.25

Now multiply 1,235 by 100. = 123,500

And also multiply 1235 by the remainder percentage not being used(83.75)= 103,060.75

Now subtract 123,500 - 103,060.75 = 20,439.25

Divide this number by 100 = 204.3925 which is what 16.25% of 1,235 is.

1,235 + 204 = about 1,439 but since i rounded up a few times the answer is actually 1,435.6875 rounded up to 1,436

y = 3x – 21 is it proportional

Answers

Answer:

yes  

Step-by-step explanation:

what the slope of(-7,-4) (2,-7) ​

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-7, -4)

Point (2, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7+4}{2+7}[/tex]Add:                              [tex]m=\frac{-3}{9}[/tex]Simplify:                        [tex]m=\frac{-1}{3}[/tex]

which data set has a mean of 12 and a mean absolute deviation of 1

Answers

Step-by-step explanation:

17 i think I hope its right

Round each fraction to the nearest whole, 1/2, or 0:
1. 1/2
12/5
2. 11/2
7/9
3. 1
4/9
4. 4
3 5/7

Answers

Answer:

1 2/5 = 1 1/2

7/9 = 1

4/9 = 1/2

3 5/7 = 4

Step-by-step explanation:

1. we must round 1 2/5

based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.

2. We must round 7/9

This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.

7 * 2 = 14

9 * 2 = 18

14/18 is only 4/18 away from being 1. This means that it would round up to 1.

3. we must round 4/9

This rounds to 1/2. If you multiply both side by 2:

4 * 2 = 8

9 * 2 = 18

8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.

4. We must round 3 5/7

5/7 would round up to a whole number.

3 + 1 = 4

Thus 3 5/7 = 4 when rounded to the nearest whole number.

what is the slope of y = -4x - 7

Answers

Answer:

-4

Step-by-step explanation:

Slope intercept form is

-y = Mx + b

the slope is -4 because the m in y=mx+b is the slope for the graph. hope this helps!!

In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

Answers

Answer:

[tex]B = 108[/tex]

[tex]C = 36[/tex]

[tex]D = 36[/tex]

Step-by-step explanation:

Given

[tex]B =13x - 35[/tex]

[tex]C = 5x - 19[/tex]

[tex]D=2x+14[/tex]

[tex]BC = BD[/tex]

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

[tex]B + C + D = 180[/tex]

Since [tex]BC = BD[/tex], then [tex]C = D[/tex]

[tex]B + C + D = 180[/tex] can then be rewritten as:

[tex]B + C + C = 180[/tex]

[tex]B + 2C = 180[/tex]

Substitute values for B and C

[tex]13x - 35 + 2(5x - 19) = 180[/tex]

Open Bracket

[tex]13x - 35 + 10x - 38 = 180[/tex]

Collect Like Terms

[tex]13x + 10x = 180 + 38 + 35[/tex]

[tex]23x= 253[/tex]

Divide both sides by 23

[tex]x = 11[/tex]

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

[tex]B =13x - 35[/tex]

[tex]B = 13 * 11 - 35[/tex]

[tex]B = 108[/tex]

[tex]C = 5x - 19[/tex]

[tex]C = 5 * 11 - 19[/tex]

[tex]C = 36[/tex]

[tex]D=2x+14[/tex]

[tex]D = 2 * 11 + 14[/tex]

[tex]D = 36[/tex]

The measure of m<B, m<C and m<D are 108, 36 and 46 respectively

What are triangles?

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

m<C = 5x-19m<D = 2x + 14

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively

learn more on angles here: https://brainly.com/question/16281260

A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item

Answers

Answer:

A belt costs $15 and a wallet costs $27.

Step-by-step explanation:

Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:

x + y = $42

7x + 4y = $213

The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:

-4x - 4y = -168

7x + 4y = 213

Now, we simply add these two equations up:

-4x - 4y + 7x + 4y = -168 + 213

3x = 45

x = $15

Now, we plug in x into any of the two starting equations to find y:

x+y=42

15 + y = 42

y = $27

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