Two cities are 1580 miles apart. A plane leaves one of them traveling towards the other at an average speed o 400 mile per hour. At that time a plane leaves the other traveling towards the first at an average speed of 390 miles per hr. How long will it take them to meet?

Answer:

A. 3

Step-by-step explanation:

Given,

[tex] BC = x + 15 [/tex],

[tex] AC = 14 [/tex]

[tex] AB = x + 7 [/tex], since A, B, and C are collinear, therefore, based on the segment addition postulate:

[tex] AB + BC = AC [/tex].

Thus, substituting the values into the equation, we have:

[tex] (x + 7) + (x + 15) = 14 [/tex]

Solve for x.

[tex] x + 7 + x + 15 = 14 [/tex]

[tex] 2x + 22 = 14 [/tex]

Subtract 22 from both sides

[tex] 2x = - 8 [/tex]

Divide both sides by 2

[tex] x = -4 [/tex]

[tex] AB = x + 7 [/tex]

Plug in the value of x

[tex] AB = -4 + 7 = 3 [/tex],

Answer: 134.25 lb of wool in the carpet

Step-by-step explanation:

You must find 75% of the total weight.

Answer:

b

Step-by-step explanation:

Answer:

Correct answer:

(−4,0)

(0,4)

(1,5)

Step-by-step explanation:

The points (0,4), (1,5), and (−4,0) are on the line and are solutions to the equation. The points (0,2) and (−4,−2) are not on the line and are not solutions to the equation.

Answer: b

Step-by-step explanation:

anser is b

Answer:

[tex]x=3\text{ or } x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|6x|+3=21[/tex]

First, subtract 3 from both sides:

[tex]|6x|=18[/tex]

Definition of absolute value:

[tex]6x=18\text{ or } 6x=-18[/tex]

Divide both sides by 6 for both equations:

[tex]x=3\text{ or } x=-3[/tex]

And we're done!

Answer:

[tex]x=3[/tex] and [tex]x=-3[/tex]

Step-by-step explanation:

[tex]\left|6x\right|+3=21\\[/tex]

Subtract 3 to both sides:

[tex]\left|6x\right|+3-3=21-3\\|6x|=18[/tex]

Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.

Thus,

Case 1:

[tex]6x=18[/tex]

Divide both sides by 6:

[tex]x=3[/tex]

Case 2:

[tex]6x=-18[/tex]

Divide both sides by 6:

[tex]x=-3[/tex]

Answer:

Step-by-step explanation:

(0, 4) (3, 7)

(7 - 4)/(3-0) = 3/3 = 1

y - 1 = x - 0

y = x + 1

Answer:

31+4x

Step-by-step explanation:

23+4(x+2)

23+4x+8

23+8=31

31+4x

hope this helps you :)

pls give me brainlest ;)

Answer:

Simplify the expression of 23+4(x+2)

We distribute 4 (x+2)

So 23+ 4×x+4×2

So 23 +4x+8

We simplify

(we calculate the numbers with the numbers and we leave 4x like that because there is no other x with which to calculate)

SO 4x+31

Answer:

(10 + x) liters represents the total number of liters in the mixture

Step-by-step explanation:

Here, we want to find and expression representing the total number of liters in the solution; we proceed as follows;

The simple answer here is the sum of the liters of both solutions.

Mathematically, that would be 10 + x liters

We should understand that we do not have anything to do with the concentration of either solution and thus, the total amount in liters of both will be 10 + x liters

Answer:

im not sure on that one sorry

Step-by-step explanation:

Answer:

Q = 110

ST = 9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

As we can see in the picture, the bigger pentagon is a scale copy of the smaller one with a scale factor of 2. Hence, all the sides on the smaller pentagon multiplied by 2 gives us the bigger pentagon. We can find the scale factor by looking at the biggest side of the pentagon. Hope this helped, Thank you.

Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

PLATO sample answer

Mark me Brainliest plz

Answer:

The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.

Step-by-step explanation:

plato answer

Answer:

X= 5

Step-by-step explanation:

Write in slope-intercept form, y=mx+b.

Hope this helps!

3xy^z: exponent is not a nonnegative int.

r-2s: it is not a product

(ab)^1/2: exponent is not a nonnegative int.

Answer:

✔ exponent is not a nonnegative integer

✔ it is not a product

✔ exponent is not a nonnegative integer

Answer:Quantitative data

Step-by-step explanation:

Answer:

Quantitative data

Answer:

Yes.

Step-by-step explanation:

First, make a graph, or imagine one.

I'll be making an example graph that only goes up to 13 here.

           Age - 10    11     12    13

Height

v

6ft

5ft

4ft    

If we mark this graph with points, you will find that there is only 1 point on each age line!

           Age - 10    11     12    13

Height

v

6ft                                          *

5ft                          *       *

4ft                  *

This means the answer is yes!

Answer:

yes

Step-by-step explanation:

i got the answer right on my test so i know its right

Answer:

13

Step-by-step explanation:

26/2

39/3

78/6

130/10

146/12

All = 13

Answer: 13

Step-by-step explanation:

26/2

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

All u have to is subject t from that formula.

D=C( 1 + rt/100)

D/C = 1+ rt/100

D/C - 1 = rt/100

So,

When u multiply the equation by 100 and divide by r it will be as follows.

(D/C -1)100/r = t

It is the answer C.

And now to get the answer E,

we have the equation as t = (D/C-1) 100/r

First solve what inside the bracket.

D/C - 1

D/C - C/C

(D-C)/C

So when u put that to the above,

t= (D-C/C) 100/r

Now all u have to do is just multiply

t= 100(D-C) / Cr

Answer:

2/121

Step-by-step explanation:

Hello,

Hôpital's rule will help here.

[tex]\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2[/tex]

So the limit is 4/(2*121)=2/121

Thanks

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

[tex]d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j[/tex]

B )

Acceleration a is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j[/tex]

Hence , this is the required solution .

Answer:

-6±3i√2

Step-by-step explanation:

First we need to simplify the radical here which is √-288. We can make this i√288, and then further simplify by taking out 12 giving us 12i√2. Now we have

-24±12i√2/4

From here we just divide all the terms in the numerator by 4 and get -6±3i√2

Answer:

B) 10 units

Step-by-step explanation:

Area of a square is A = s², and perimeter of a square is P = 4s.

A = P + 60

s² = 4s + 60

s² − 4s − 60 = 0

(s + 6) (s − 10) = 0

s = -6 or 10

Since s can't be negative, s = 10 units.

Answer: Gear 14 or 14.3

Step-by-step explanation:

Answer:

l-3l=3 and -3=-3

Step-by-step explanation:

The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,

l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.

Answer:

the first tem is greater than the second term so 3>-3

Step-by-step explanation:

you have to simplify the terms first.

3 is greater than -3

Answer:

35y

Step-by-step explanation:

4 by the 5 power is 20

20 - 6 cause the 6 is negative but you could say 20 +-6 you'll still have to subtract

8 by the 2 power =16

then you take the plus sign and you add 20 + 16 = 36

then it says -1 for y

so you take out 1y

then that leave you with 35y

Answer:

Step-by-step explanation:

4(1)^5 - 6(1) + 8(1)^2 - 1

4 - 6 + 8 - 1

-2 + 8 - 1

6 - 1 = 5

Answer:

473,000

Step-by-step explanation:

:D

Answer:

A.  (1,22), (2,44), (3,66)

B. 5 shirts were bought and the total was $110

C. 4

Step-by-step explanation:

A.

For every 1 increase in the x variable(the first number) the y variable(the second number) increases by 22

B.

The pair represents that he got 5 shirts and that he paid $110. you can check your work by seeing that if yoiu divide 110 by 5 you get the price of the t-shirt; $22

C.

If each shirt is $22 you divide $88 by $22 and get the amount of t-shirts bought; 4

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}\left(3x+9\right)=-2\left(2x+6\right)[/tex]

Expand:

[tex]\frac{2}{3} *3x+\frac{2}{3} *9=-2*2x+(-2)(6)[/tex]

[tex]2x+6=-4x-12[/tex]

Subtract 6 from both sides:

[tex]2x+6-6=-4x-12-6[/tex]

[tex]2x=-4x-18[/tex]

Add 4x to both sides:

[tex]2x+4x=-4x-18+4x[/tex]

[tex]6x=18[/tex]

Divide both sides by 6:

[tex]\frac{6x}{6}=\frac{-18}{6}\\[/tex]

[tex]x=-3[/tex]