(x - 3y)(2x + 7y)

What is the answer?

Answer:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Exact Form:

[tex]x = \frac{40}{3}[/tex]

Decimal Form:

[tex]x=13.3[/tex]

Mixed Number Form:

[tex]x=13\frac{1}{3}[/tex]

Thanks!

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boy, have a great day!

Answer:

Let's define:

A = distance traveled before deploying the landing gear

B = distance traveled after deploying the landing gear.

We must have that the sum of those two distances must be equal to 600 yards.

A + B = 600 yd.

And we know that:

" the plane will travel half the distance with the landing gear than without the landing gear."

Then we have that:

B = A/2.

Now we can replace this last equation in the first one:

A  + B = 600yd

A + A/2 = 600yd.

(3/2)*A = 600yd.

A = (2/3)*600yd = 400yd.

Ohama should deploy the landing gear 400 yd into the runway.

Answer:

per ounce is $5.92

Step-by-step explanation:

All you gotta do is 53.28 divided by 9 $5.92!

Mark me brainliest!!

Answer:

i hope this is what you are looking for

Step-by-step explanation:

liz is 36

rylan is 75

36*2 is 72

72+3 is 75

y= x (rylan's age)-3 /2

75-3=72

72/2

36

Answer:

False

Step-by-step explanation:

Answer:

5x-14=3x

Step-by-step explanation:

At the airport, ten people are waiting on standby. two seats become available, one first-class and one coach, There are 90 ways to fill the two seats.

It is given that there are ten people waiting on standby.

Two seats are available, One is first class and another one is coach.

It is required to find how many ways are there to fill the two seats.

A permutation can be defined as the number of ways a set can be arranged.

We have ten people and two seats in which only two people can seat out of ten.

It is a problem based on the permutation concept.

So for the first seat, there are 10 ways to fill the first seat

and for the second seat, there are  [tex](10-1)[/tex] ways to fill the second seat.

If "P" is the number of ways we can assign the seats:

Then, P = 10×(10-1) = 10×9 = 90

Thus, there are 90 ways to fill the two seats.

Learn more about permutation here:

https://brainly.com/question/1216161

Answer:

D. 90

Step-by-step explanation:

Have a good day!

Answer:

Distance C from A =5km

Step-by-step explanation:

use the Pythagoras theorem's

{AC}^{2} = {BC}^{2} + {AB}^{2}

AC=✓3^2 + 4^2

AC = ✓9+16

AC = ✓25

AC = 5 km

therefore, C from A = 5 km

Answer:

AA

Step-by-step explanation:

ΔCSR and ΔMDR share ∠CRS

Since lines [tex]n[/tex] and [tex]k[/tex] are parallel, ∠C ≅ ∠M and ∠S ≅ ∠D. These are corresponding angles.

Either of these sets of angles could be used along with ∠CSR to prove that ΔCSR and ΔMDR are similar because of AA.

Answer:

m = -3/5

Step-by-step explanation:

-5m = 3

Divide each side by -5

-5m/-5 = 3/-5

m = -3/5

The volume of the cone is 35069.35ft^3 which is equivalent to the air the heating and cooling system would accommodate

Data;

The shape of a cone has a spherical base. From the given data, we can find radius of the sphere from this.

[tex]A = \frac{4}{3}\pi r^3\\38000 = \frac{4}{3}* 3.14 * r^3\\4.186r^3 = 38000\\r^3 = \frac{38000}{4.186} \\r^3 = 9077.878\\r = \sqrt[3]{9077.878} \\r = 20.86ft[/tex]

The volume of a cone is given as

[tex]v=\frac{1}{3} \pi r^2 h\\v = \frac{1}{3} * 3.14 * 20.86^2 * 77\\v = 35069.35ft^3[/tex]

The volume of the cone is 35069.35ft^3

Learn more on volume of a cone here;

https://brainly.com/question/15321521

Answer:

c

Step-by-step explanation:

The equation =( denominater * derivative of numerator - numerator * derivative of denominator) / denominator ^2

so the qstn is (x^2 + 3x +2) / (x+3)

apply the values as the above eqtn states

ie,[ (x+3) * derivative of (x^2 +3x + 2)] - [( x^2 +3x + 2) *derivative of (x+3)] /

(x+3)^2

derivative of numerator, (x^2 +3x + 2) is 2x+3

" of denominator, (x+3) is 1

so we get

[(x+3)* (2x + 3 ) - (x^2 +3x + 2) *1 ] / (x+3)^2

open the brackets

[ 2x^2 + 3x + 6x + 9 - x^2 +3x + 2 ] / (x+3)^2

subtract similar terms and we get the final answer in option c

Answer:

1020 cm²

Step-by-step explanation:

The area of a trapezoid is given by:

Area=(big base+small base)/2 ×h

So,

Area=(TR+PA)/2 ×h

Area=(54+31)/2 ×24

Area=85/2 ×24

Area=42.5×24

Area=1020 cm² or Area=0.102 m²

Answer:

13

Step-by-step explanation:

Assuming that this is a right triangle, we can use the Pythagorean theorem.

[tex](length-of-leg-1)^2+(length-of-leg-2)^2 = (length-of-hypotenuse)^2\\15^2 + x^2 = (\sqrt{394} )^2\\225 + x^2 = 394\\x^2 = 169\\x = 13[/tex]

Hope that helped!  

Answer:

a) 1/16

b) 7/16

Step-by-step explanation:

a) The area of the outside circle is π (8")² = 64π in².

The area of the center circle is π (2")² = 4π in².

So the probability is (4π / 64π) = 1/16.

b) The area of the outside strip is π [(8")² − (6")²] = 28π in².

So the probability is (28π / 64π) = 7/16.

Answer:

0.012

Step-by-step explanation:

Answer:

0.012km is the correct answer

Answer:

x=-3

Step-by-step explanation:

-3x-2y=9

-3x-2(0)=9

-3x-0=9

-3x=9

x=-3

Answer:

C, $769 per week

Step-by-step explanation:

There are 52 weeks in a year. To find the answer to this question, divide $40,000 by 52 to get $769.230769231, rounded to $769.

Answer:

d = (-9/13)

Step-by-step explanation:

13d + 8 = -1

       -8     -8

13d = -9

÷13    ÷13

d = ( -9/ 13 )

I hope this helps!

Answer:

d = -9/13

Step-by-step explanation:

13d +8= -1

Subtract 8 from both side

13d +8-8= -1-8

13d = -9

Divide 13 from both side

13d/13 = -9/13

d = -9/13

Answer:

3,000 + 1 = 3,001

Step-by-step explanation:

Just add it vertically.

3,000

+      1

3,001

Answer:

3,000+1=3,001

Step-by-step explanation:

Just simple logic

Answer:

The maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Step-by-step explanation:

The number of tickets sold each day, p(x), for an upcoming performance is

[tex]p(x)=-0.4x^2+8.8x+13[/tex]

where x is the number of days since the concert was first announced.

For peak sales, the point of maxima has to be determined.

So, differentiate the function of the number of tickets sold each day, p(x), with respect to the number of days, x, and equate it to zero to get the extremum point (maxima or minima), i.e.

[tex]\frac {p(x)}{dx}=0[/tex]

[tex]\Rightarrow -0.8x+8.8=0[/tex]

[tex]\Rightarrow x=\frac{8.8}{0.8}=11[/tex]

Now, check the sign of the second derivative at x=11, to ensure the obtained point is corresponding to the maxima or minima,

[tex]\frac {p^2(x)}{dx^2}=-0.8[/tex]

As the second derivative is negative, so x=11 is the point corresponding to maxima.

Hence, on the [tex]11^{th}[/tex] day the daily ticket sales will be at the peak.

Putting x=11 in the function p(x) to get the number of tickets sold that day.

[tex]p(x=11)= -0.4(11)^2+8.8(11)+13[/tex]

[tex]\Rightarrow 158.2.[/tex]

The number of tickets should be an integer, the obtained peak value is 158.2 so the higher integral value is not possible but the lower integral value is possible.

So, the maximum sale of the tickets is 158 on the [tex]11^{th}[/tex] day.

Answer:

M = -1

Step-by-step explanation:

Use the slope formula:

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

M = (5-9)/(7-3)

M = -1

The required slope for the lines -1.

Given that,

To determine the slope of the line that passes through points (3,9) and (7,5).

The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx, where x is in degrees.

The process in computation to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Slopes of the line can be given as,

m = [y₂ - y₁ ] / [x₂ - x₁]

for points,  (3,9) and (7,5)

m = 5 - 9 / 7 - 3

m = -4 / 4
m = 1

Thus, the required slope for the lines is -1.

Learn more about slopes here:

brainly.com/question/3605446

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Answer:

13.5

Step-by-step explanation:

When finding radius you would divide the diameter by 2, and the diameter is (3 times 9) 27. Thus 27 divided by 2 = 13.5

Hope this helps :D

Answer:

  (b)  4a³

Step-by-step explanation:

The value of B is the sum of the a-cubed terms:

  12a³ -6a³ -2a³ = (12 -6 -2)a³ = 4a³ . . . . . matches the 2nd choice

__

Additional comment

A = (-2a)(-2a) = 4a²

Answer:

4 pi/3

Step-by-step explanation:

960 degrees in standard position is the same thing as 960-360 = 600 degrees in standard position because rotating the second line 360 degrees just brings it back to where it started.

Do it again to get 600 - 360 = 240

240 degrees would end up in the same spot as 600 degrees and 960 degrees, so they are all coterminal.

Convert 240 degrees to radians:

240 * pi/180 = 4pi/3.

Answer:

6 people

Step-by-step explanation:

Answer:

Tip Total: $ 154,500.00

Total (Bill + Tip): $ 1,184,500.00

Answer:

-175

Step-by-step explanation:

Answer:

-175

Step-by-step explanation:

Calculators are very useful, :).

Answer:4,2

Step-by-step explanation: is u divide both side with 2 that will be your answer

Answer:

Your answer is: Midpoint =  (0.5, -0.5)

Step-by-step explanation:

(xa+xb/2 , ya+yb/2)

Plug the points ---> (5,2)(-4,-3)

= (1/2 , -1/2)

In decimal form it would be: (0.5,-0.5)

Hope this helped : )