Ask question

Ask question

All categories

Scorpion4ik [409]

2 years ago

11

There are 216 forth graders. They took 3 buses to a field trip. How many 4th graders were on each bus?

2 answers:

VLD [36.1K]2 years ago

5 0

Answer:

72

Step-by-step explanation:

216/3=72 in each bus.

photoshop1234 [79]2 years ago

5 0

Answer:

72

Step-by-step explanation:

216 divided by 3 = 72 each

You might be interested in

56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

$\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}$

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

$\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2$

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

$y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2$

and

$y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2$

8 0

2 years ago

Select the correct answer.

andrew-mc [135]

I think the answer would be 8+9

4 0

2 years ago

Exercise 4<br> Find the following sums and differences using a number line model.<br> a. -6+3

Arada [10]

-3 Is The Answer -6+3=-3

4 0

3 years ago

The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with

pochemuha

Answer:

a)17.92

b) 16.83 .... 21.17

Step-by-step explanation:

ρ→ z

0.14 = -1.080319341

-1.080 = (x - 19)/1 = 17.92

~~~~~~~~~~~~~~~~~~

3% / 2 = 1.5%

1.5% - 98.5%

ρ→ z

0.015 = -2.170090378 .... -2.17 = (x-19) =16.83

0.985 = 2.170090378 .... 2.17 = (x-19) =21.17

8 0

2 years ago

Escribe una ecuación para una linea que pase por los puntos (3,5) y (6,3). Responder con trabajo de apoyo

Blababa [14]

Answer:

y = - $\frac{2}{3}$ x + 7

Step-by-step explanation:

Ambos puntos (3, 5) y (6, 3) están en esta línea.

8 0

2 years ago