an airplane is preparing to land at an airport it is 48,000 ft above the ground and it is descending at the rate of 3,300 ft per minute at the same airport another airplane is taking off and will ascend at the rate of 2,700 ft per minute when will the two airplanes be the same altitude and what will that altitude be​

Given:

The sum of three numbers is 212 .

The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.

To find:

The unknown numbers.

Solution:

We have,

First : Second = 13:16

Second: Third = 2:3

We need to combine these ratios, to get a single ratio for all three numbers.

Second: Third = 2×8:3×8 = 16:24

Now,

First: Second: Third = 13:16:24

Let the first, second and third numbers are 13x, 16x and 24x respectively.

[tex]13x+16x+24x=212[/tex]

[tex]53x=212[/tex]

[tex]x=\dfrac{212}{53}[/tex]

[tex]x=4[/tex]

So, the numbers are,

[tex]First=13x[/tex]

[tex]First=13(4)[/tex]

[tex]First=52[/tex]

Similarly,

[tex]Second=16x[/tex]

[tex]Second=16(4)[/tex]

[tex]Second=64[/tex]

And,

[tex]Third=24x[/tex]

[tex]Third=24(4)[/tex]

[tex]Third=96[/tex]

Therefore, the three unknown numbers are 52, 64, 96.

Answer:

7.86seconds

Step-by-step explanation:

Given the expression used to model the length of the pendulum as

L=0.81t^2 where t is the period

IF the pendulum is 50 feet long, then L = 50 feet

Substitute

50  = 0.81t^2

t² = 50/0.81

t² = 61.7283

t = 7.86 seconds

Hence the period is 7.86seconds

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Answer:

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

Step-by-step explanation:

;)

Answer:

59.5 feet

Step-by-step explanation:

Set up a proportion

Tree 1

17 feet tall

10 feet shadow

Tree 2

35 feet tall

x feet shadow

17/10= 35/x

(17)(35)= (10)(x)

595= 10x

/10    /10

59.5= x

The cast shadow of the second tree is 59.5 feet

Answer:

Find x,If x + 15 = 30.

Step-by-step explanation:

Answer:

C. y= -2x-8 is the answer

Answer:

y = -2x - 4

Step-by-step explanation:

y = mx + b(we substitute the "x" and "y" points into this general formula)

-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")

(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")

-4 = b( we substitute this answer in the general formula we've written )

y= -2x -4

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

Let, 2x-3=g

x=(g+3)/2

So,f(2{g+3}/2 -3)=4(g+3)/2 + 5

f(g)=2g+11

So,f(x)=2x+11

f(-2)=7 ##

Answer:

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

f(2x-3)=2(2x-3)+11

f(x)=2x+11

f(-2)=2×-2+11=-4+11=7

Answer:

j = 25+3

im pretty sure :)

Step-by-step explanation:

Answer:

j=25+3 which means j=28

Answer:

Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent. What was the price of Caleb's groceries, before tax

Step-by-step explanation:

This is all I know~

Hope it helps!

Good luck with your work!!~

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4

[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0

[tex]2n^{2}[/tex] - 40n - 42 = 0

// divide both sides by 2

[tex]n^{2}[/tex] - 20n - 21 = 0

// rewrite the equation

[tex]n^{2}[/tex] + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

The answer is -13 and -15.

Answer:

$15

Step-by-step explanation:

First you move the decimal in the percent 2 times to the left and get .25. And then you multiply that by 60 and get 15.

Answer:

y=x+6

Step-by-step explanation:

y intercept = 6

gradient = rise/run = 1/1

y = x +6

Answer:

Step-by-step explanation:

Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Slope of AB = [tex]\frac{3+1}{-4-2}[/tex]

                    = [tex]-\frac{2}{3}[/tex]

Slope of AD = [tex]\frac{3+1}{-4+4}[/tex]

                    = Not defined (Parallel to y-axis)

Slope of DC = [tex]\frac{-5+1}{2+4}[/tex]

                     = [tex]-\frac{2}{3}[/tex]

Slope of BC = [tex]\frac{-1+5}{2-2}[/tex]

                   = Not defined (Parallel to y-axis)

Slope of AB = slope of DC = [tex]-\frac{2}{3}[/tex]

Slope of BC = slope of AD = Not defined (parallel to y-axis)

As per property of a parallelogram,

"Opposite sides of a parallelogram are parallel and equal in measure"                  

Therefore, ABCD is a parallelogram.

Answer:

(1,-3)

Step-by-step explanation:

Answer:

mark brainlist please

Step-by-step explanation

-2x+7y=16 x=-8,0 y=0,16/7

8x-6y=24 y=(3,0) x=(0,-4)

Answer:

120 in^2

Step-by-step explanation:

Answer:

the answer is 5 hope this could help

Answer:

c. sin 8x + sin 2x

Step-by-step explanation:

1. Convert the product into sum or differences: 2 sin 5x cos 3x

Solution:

2 sin 5x cos 3x = sin (5x + 3x) + sin (5x -3x), [Since 2 sin A cos B = sin (A + B) + sin (A - B)]

= sin 8x + sin 2x

Answer:

8

Step-by-step explanation:

x is 8

[tex]8x + 3y = 70[/tex]

with given condition where y = 2.

Therefore, substitute the value of y in the equation.

[tex]8x + 3(2) = 70 \\ 8x + 6 = 70[/tex]

[tex]8x = 70 - 6 \\ 8x = 64 \\ x = \frac{64}{8} \longrightarrow \frac{8}{1} \\ x = 8[/tex]

[tex]8x + 3y = 70 \\ 8(8) + 3(2) = 70 \\ 64 + 6 = 70 \\ 70 = 70[/tex]

Hence, the equation is true for x = 8 and y = 2.

[tex] \large{x = 8}[/tex]

Answer:

47

Step-by-step explanation:

Angles B and D are equal.

Angles A and C are equal.

Anges in parallelogram add up to 360°

5x+38=8x-19

57=3x

x=19

B=(5×19)+38=133°

D=(8×19)-19=133°

A+C=360-133-133

A+C=94

A and C are the same so you can do 94/2=

Therefore, both angles A and C are 47 :D

The measure of angle c in the parallelogram is 47°.

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.

∠B = ∠D (opposite angles are equal)

8x - 19 = 5x + 38

x = 19

∠B = 5(19) + 38 = 133°

∠C + ∠B  = 180° (base angles of parallelogram_

∠C + 133 = 180

∠C = 47°

The measure of angle c in the parallelogram is 47°.

Find out more on parallelogram at: https://brainly.com/question/970600

Answer:

no never have and never will sorry

Answer:

ewwww.

Step-by-step explanation:

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

Answer:

185

Step-by-step explanation:

14.8 / 0.08 = 185

Best of Luck!

Answer:

185

Step-by-step explanation:

next time you get a question like that use symbolab

Answer:

Step-by-step explanation:

I think x=39°

Answer:

i dunno

Step-by-step explanation:

Answer:

72.1110255093 cm

Step-by-step explanation:

round it if you have to

Answer:

75 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.

Using the right triangle formed on the left and using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )

d = 75

The diagonal is 75 cm

The slope of the table is 2

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

to determine the slope:

From the table, we have the following points:

(x,y) = (0, 4) and (1,7)

The slope is then calculated as:

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

Substitute known values

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

Evaluate the differences

m = 3/1

Divide

m = 2

Hence, the slope of the table is 2

Read more about slopes at:

brainly.com/question/3493733

#SPJ7

Answer:

ok ask your self what is 4x20+4 done pss its 84...

Step-by-step explanation:

ok

Answer:

84x

Step-by-step explanation:

Equation:

X(4+20)

=24x

X(24+60)

=84x