PLEASE HELP ME <br> !!!!!!

Thank you so much, my friend

ss7ja [257]

Answer:

Step-by-step explanation:

This is quite a doozy, my friend. We will set up a d = rt table, fill it in...and pray.

The table will look like this before we even fill anything in:

d = r * t

SUV

sedan

Ok now we start to pick apart the problem. Motion problems are the hardest of all story problems ever. This is because there are about 100 ways a motion problem can be presented. So far what we KNOW for an indisputable fact is that the distance from Georgetown to Greenville is 120 km. So we fill that in, making the table:

d = r * t

SUV 120

sedan 120

The next part is derived from the sentence "After an hour, the SUV was 24 km ahead of the sedan." This tells us the rate of the SUV in terms of the sedan. If the SUV is 24 km ahead of the sedan in 1 hour, that tells us that the rate of the sedan is r and the rate of the SUV is r + 24 km/hr. BUT we have other times in this problem, one of them being 25 minutes. We have a problem here because the times either have to be in hours or minutes, but not both. So we will change that rate to km/min. Doing that:

24 $\frac{km}{hr}$ × $\frac{1hr}{60min}=.4\frac{km}{min}$ So now we can fill in the rates in the table:

d = r * t

SUV 120 = r + .4

sedan 120 = r

They left at the same time, so now the table looks like this:

d = r * t

SUV 120 = r + .4 * t

sedan 120 = r * t

We will put in the time difference of 25 minutes in just a sec.

If d = rt, then the equation for each row is as follows:

SUV: 120 = (r + .4)t

sedan: 120 = rt

Since the times are the same (because they left at the same time, we will set the equations each equal to t. The distances are the same, too, I know that, but if we set the distances equal to each other and then solve the equations for a variable, the distances cancel each other out, leaving us with nowhere to go. Trust me, I tried that first! Didn't work.

Solving the first equation for time:

sedan: $\frac{120}{r}=t$ That's the easy one. Now the SUV. This is where that time difference of 25 minutes comes in from the last sentence. Let's think about what that sentence means in terms of the times of each of these vehicles. If the sedan arrived 25 minutes after the SUV, then the sedan was driving 25 minutes longer; conversely, if the sedan arrived 25 minutes after the SUV, then the SUV was driving 25 minutes less than the sedan. The latter explanation is the one I used in the equation. Again, if the SUV was driving 25 minutes less than the sedan, and the equations are solved for time, then the equation for the SUV in terms of time is

$\frac{120}{r+.4}=t-25$ and we solve that for t:

$\frac{120}{r+.4}+25=t$

Again, going off the fact that times they both leave are the same, we set the equations equal to one another and solve for r:

$\frac{120}{r+.4}+25=\frac{120}{r}$

I began by first multiplying everything through by (r + .4) to get rid of it in the denominator. Doing that:

$[r+.4](\frac{120}{r+.4}) +[r+.4](25)=[r+.4](\frac{120}{r})$ which simplifies very nicely to

$120+25(r+.4)=\frac{120}{r}(r+.4)$ So maybe it's not so nice. Let's keep going:

$120+25r+10=\frac{120r}{r}+\frac{48}{r}$ and keep going some more:

$130+25r=120+\frac{48}{r}$ and now we multiply everything through by r to get rid of THAT denominator:

$r(130)+r(25r)=r(120)+r(\frac{48}{r})$ giving us:

$130r+25r^2=120r+48$ Now we have a second degree polynomial we have to solve by factoring. Get everything on one side and factor using the quadratic formula.

$25r^2+10r-48=0$

That factors to

r = 1.2 and r = -1.6 and both of those rates are in km/minute. First of all, we cannot have a negative rate (this is not physics where we are dealing with velocity which CAN be negative) so we throw out the -1.6 and convert the rate of 1.2 km/minute back to km/hr:

$1.2\frac{km}{min}$ × $\frac{60min}{1hr}$ and we get

r = 72 km/h, choice B.

Wow...what a pain THAT was, right?!

5 0

2 years ago

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 1 or a 9 is 2/9 . What is the probability

shtirl [24]

The probability of NOT getting a 1 or a 9 means you have to subtract those two numbers and how many of each are out. Once you do that, count the remaining numbers, put them as the numerator, and then put the overall total of numbers as the denominator. Your answer is 7/9.

5 0

3 years ago

On the children's baseball field shown, the distance from the pitcher's mound to home plate is 50 feet. The distance from the pi

nikdorinn [45]

The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.

6 0

3 years ago

Read 2 more answers

2 years to 9 months in ratio

baherus [9]

Answer:

Step-by-step explanation:

24/9 would be 8:3

Hope this helps :)

6 0

2 years ago

Read 2 more answers

a student used his place value chart to show a number after the teacher instructed him to divide his number by 100 the chart sho

Anna35 [415]

<span>A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for this situation is the value of the number before it was divided by 100.
To get the value, simply multiply the result by 100
=> 28.003 x 100
=> 2800.3
by dividing 100 to the given number, we simply move the value to the right in a value of hundreds.
See attached Image.

</span>

8 0

3 years ago

PLEASE HELP ME !!!!!!