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3 years ago

manny is on a bus that is traveling at a constant speed of 60 miles per hour. how far will he travel in 3 1/2 hours

1 answer:

4 0

he would have traveled 210 miles because in half an hour he would have traveled 30 miles and in 3 hours he would have traveled 180 miles. so we have to add those up and we get our answer: 210 miles

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Giving brainliest + 20 points!

TEA [102]

Answer:

when the NUMERATOR of a fraction is equal to 0

Step-by-step explanation:

If the fraction is 0/x, the answer will always be 0 (where x is any number except 0, otherwise the answer is not defined).

7 0

2 years ago

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in:

$-3.8=\pi(2)(13)\frac{dD}{dt}$ and solving for the rate at which the diameter is changing:

$-\frac{3.8}{26\pi}=\frac{dD}{dt}$ and divide to get

$\frac{dD}{dt}=-.459\frac{cm}{min}$ Obviously, the negative means that the diameter is decreasing.

7 0

3 years ago

Please help me please

Anestetic [448]

Answer:

look up the paper because i had that same paper

Step-by-step explanation:

4 0

2 years ago

A small class has 10 students, 4 of whom are girls and 6 of whom are boys. The teacher is going to choose two of the students at

Vinil7 [7]

Answer:

1/3

Step-by-step explanation:

Dividing the amount of boys (6) by the amount of students (10), and then reiterating that, subtracting 1 from both, you get:
(6/10) x (5/9) which equals a third.

7 0

2 years ago

Ayuda porfavor urgenteee<br> 15 puntos!!!

VMariaS [17]

Answer:

x=11

z=16

Step-by-step explanation:

5x+3z=70

3x+4z=64

2x-z=6

z=2x-6

5x+3(2x-6)=70

11x=88

x=11

z=2(11)-6

=16

4 0

3 years ago