There are 3 boys to every 5 girls in a class. The class has 64 students. How many boys are there

LenaWriter [7]

$36=6\cdot 6\\m^3=m^2\cdot m\\p^3=p^2\cdot p\\\\36m^3-6m^2p^2-6m\cdot pp+p^3=6m^2\cdot6m-6m^2\cdot p^2-6mp+p^2\cdot p\\\\=6m^2(6m-p^2)-p(6m-p^2)=\huge\boxed{(6m-p^2)(6m^2-p)}$

6 0

3 years ago

Write an equation in standard form of a line that passes through (4, 2) and is parallel to y = - 3/4 * x - 5 .

Bingel [31]

Answer:

y=2x+y-int

Step-by-step explanation:

If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.

Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)

THus, your equation is y = 2x + y-int

5 0

3 years ago

-1.398 = 2.2 + n/-5.53<br> Does this look good so far? <br> -1398 = 2200 + n/5530 - 2200

insens350 [35]

Answer:

n = 19.89694

Step-by-step explanation:

You can work the problem using decimal numbers. There is no need to convert everything to integers. Trying to do so just gets you in trouble.

Subtract 2.2 from both sides:

-1.398 -2.200 = n/-5.53

-3.598 = n/-5.53

Now, multiply both sides by -5.53:

(-5.53)(-3.598) = n = 19.89694

_____

The one rule that cannot be violated in algebra is that <em>you must do the same thing to both sides of the equation</em>.

_____

Your "solution" so far has a couple of errors. The first is that you have apparently multiplied all of the numbers by 1000. Unfortunately, when you multiply a denominator by 1000, it is the same as dividing by 1000. So, you have multiplied the left side by 1000, multiplied one term on the right by 1000 and divided another term on the right by 1000. This turns the equation into something different than what you started with, and will give a wrong answer.

The second error is that you have subtracted 2200 only from the right side. This, too, will turn the equation into something different than what you started with, and will give a wrong answer.

7 0

3 years ago

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy

DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ $tan(\phi) = \frac{opposite}{hypotenuse}$

⇒ $tan(\phi) = \frac{324}{54}$

⇒ $(\phi) = tan^-^1(\frac{324}{54})$

⇒ $\phi=80.53$

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0

3 years ago

If the volume of a cube is 8cm^3 what is the surface area of the cube

Varvara68 [4.7K]

Answer:

i am sorry if it is wrong my answer is 1,536

Step-by-step explanation:

so if i am correct 8cm³ the formula for a surface area of a cube is:

SA=s³

6 0

3 years ago