An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.


How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet

Answer:

Y= 2/5x - 23

Step-by-step explanation:

Firstly:

Move the 1/5 to the other side of the equation

So

5(y+4) =2(x-3)

Secondly:

Expand the brackets

5y +20 = 2x-3

Thirdly:

Solve

5y= 2x - 3-20

5y=2x-23. (Divide by five both sides)

Y= 2/5 x - 23 (Straight line graph)

To plot the graph:

First create a table of values

For x coordinates and y coordinates

Put the points in the graph and match

Answer:

[tex]S_{10} = 3069[/tex]

Step-by-step explanation:

Given

[tex]Sequence = \{3, 6, 12, 24, 48...\}[/tex]

Required

Determine the sum of the first terms

First, we calculate the common ratio (r)

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{6}{3}[/tex]

[tex]r = 2[/tex]

The required sum is:

[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]

Substitute 3 for a, 2 for r and 10 for n

[tex]S_{10} = \frac{3(2^{10}-1)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1024-1)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1023)}{2-1}[/tex]

[tex]S_{10} = \frac{3(1023)}{1}[/tex]

[tex]S_{10} = \frac{3069}{1}[/tex]

[tex]S_{10} = 3069[/tex]

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Answer:

y= 81$

Step-by-step explanation:

$27 X 3= 81

Answer:

y = 9h

i don't know if this is what you were looking for or not

Step-by-step explanation:

Answer:

Her increasing the salary will mean

Step-by-step explanation:

Answer:

the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.

Step-by-step explanation:

Hope this helps

Answer:

b. - 1/4

Step-by-step explanation:

Start at the point highest on the line(3,4). Subtract the x value of the second point, from the x value of the first point.(3-7) Then do the same with the y values.(4-3) This gives you x=-4and y= 1. Slope= y/x, so you get -1/4

Answer:

b = 6 n = 2.5 and p = 4.5

Step-by-step explanation:

had the same question

The value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = -0.5x + b

The line is passing through (4, 4), then the value of b will be

4 = -0.5 × 4 + b

4 = - 2 + b

b = 4 + 2

b = 6

Then the equation will be

y = - 0.5x + 6

The equation is passing through (3, p), then the value of p will be

p = -0.5 × 3 + 6

p = - 1.5 + 6

p = 3.5

The equation is passing through (7, n), then the value of n will be

n = -0.5 × 7 + 6

n = - 3.5 + 6

n = 2.5

Then the value of the variables b, p, and n will be 6, 3.5, and 2.5, respectively.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

x = -123/14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

250 = 4(1 - 7x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 250 does indeed equal 250.

∴ x = -123/14 is the solution to the equation.

Answer:

67.5 miles far

Step-by-step explanation:

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

Answer:

7 I. guessing oh wait nah its fish

Answer: 2.88/1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27  Equation

Step 2

3(q-7)=27  Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48  Divide

answer

Q=16

Hope this helps

The second option (5n)

["Product" is for multiplication]

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

Answer:

You're supposed to start at the zero

Answer:

Tom is correct

Step-by-step explanation:

Quadrilaterals are polygons that have four sides.

Square, rectangle, parallelogram, kite, rhombus are all examples of quadrilateral

Parallelogram is a type of quadrilateral with opposite sides equal and parallel

Answer:

32 values

Step-by-step explanation:

Given the stem. Plot :

STEM ___ Leaf

4 | 024477889

5 | 001222234477888

6 | 02378

7 | 348

The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.

The values are :

40, 42, 44, 44, 47, 47, 48,48, 49

50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,

60, 62, 63, 67, 68

73, 74, 78

Answer:

Total cost with interest and down payment: $4288

Monthly payment with interest: $162

(if this doesnt answer your question, plz let me know what you mean by installments and ill try again)

Step-by-step explanation

Step-by-step explanation:

x² - 2x - 35 = (x - 7)(x + 5).

x² + 3x - 54 = (x + 9)(x - 6).

x² - 4x + 4 = (x - 2)².

x² - 121 = (x + 11)(x - 11).

2x² + x - 15 = (2x - 5)(x + 3).

6x² - 7x - 24 = (3x - 8)(2x + 3).

3x² - 10x + 8 = (3x - 4)(x - 2).

10x² + 9x - 9 = (5x - 3)(2x + 3).

12x² + 25x + 12 = (4x + 3)(3x + 4).

15x² - x - 6 = (5x + 3)(3x - 2).

Answer:

C

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

Answer:

1.8181818181818181 etc., which rounds to 1.82

Step-by-step explanation:

1.65/3 = 1/x

3/1.65

We get 1.80 pounds of flour for 1 dollar.

Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.

Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.

According to the given question three pounds of flour cost 1.65 dollars.

So, One pound of flour will cost (1.65/3) dollars which is

= 0.55 dollars.

In 1 dollar we will get (1/0.55) pounds of flour which is

= 1.81 pounds.

Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.

learn more about unitary method here :

https://brainly.com/question/14793162

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Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Answer:

Step-by-step explanation:

since f || h the length of two lines have to be equal

according to the question:

hence,