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FromTheMoon
3 months ago
7

A truck with a heavy load drove from Boston to New York at 50 mph. After dropping of the load, it returned from New York to Bost

on with a speed of 70 mph. What is the average speed of the truck for the whole trip?
Mathematics
1 answer:
Zina [12.3K]3 months ago
8 0

Answer:

175/3 or 58.333...

Step-by-step explanation:

This problem can be complex, but I'll simplify it. I apologize for the challenges involved in formatting fractions correctly. To ensure accuracy, I've added several parentheses that may seem unnecessary.

Let d denote the distance between the two cities.

The time it takes can be expressed as d/r, where r represents the speed; thus, from B to NY, it is d/50.

In the same manner, from NY to B, it's d/70.

The average velocity can be determined as 2d divided by the sum of d/50 and d/70, representing the average time.

Next, eliminate d from the equation to reach (d/d)*2/(1/50+1/70).

Now, you can multiply by the Least Common Multiple (LCM) over itself, which is 350/350.

The result after performing this calculation will yield 700/12, equating to 58.333...(This is how you would enter it into your RSM browser) I hope this clarification is useful. My apologies for the delay.

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If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure
zzz [12365]

Start by observing that angles LMP and NMP satisfy the following:

m\angle LMP+m\angle NMP=m\angle NML.

Given that m\angle LMP exceeds m\angle MNP, by 11^{\circ}, then

m\angle LMP=m\angle NMP+11^{\circ}.

Since m\angle MNL=137^{\circ},, it follows that

137^{\circ}=m\angle NMP+11^{\circ}+m\angle NMP,\\ \\2m\angle NMP=137^{\circ}-11^{\circ}=126^{\circ},\\ \\m\angle NMP=63^{\circ}.

Consequently,

m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.

Answer: m\angle LMP=74^{\circ},\ m\angle NMP=63^{\circ}.


7 0
4 months ago
What is the inverse of the function f(x) = 2x – 10?
Zina [12379]

Hello

1). Start by replacing f(x) with y.

2). Next, switch the variables x and y.

3). Solve for y.

The function is f(x)= 2x-10

So, we have y= 2x-10

This translates to x= 2y-10

Then, rewriting gives us x+10 = 2y

Ultimately, we find y = x/2 + 5

I hope this information was helpful!

Disclaimer:

Always verify your answers against a credible source, as errors are possible.

5 0
3 months ago
Read 2 more answers
The Florida Tourist Commission selected a random sample of 200 people that attended one or more concerts during the first weeken
Inessa [12570]

Answer:

0.8 or 80%

Step-by-step explanation:

Let A and B denote the different events

A: “The concert attendee visited Orlampa Skydome”

B: “The concert attendee visited the Bithlo Megaplax”

Thus, the probability P(A) of a concert attendee visiting Orlampa Skydome is

P(A) = 120/200 = 0.6

In a similar manner,

P(B) = 100/200 = 0.5

We seek to determine P(A∪B), which represents the odds that a concert attendee went to either Orlampa Skydome OR the Bithlo Megaplax.

We know that

P(A∪B) = P(A) + P(B) - P(A∩B)

but P(A∩B) signifies the possibility that a concert attendee went to both Orlampa Skydome AND the Bithlo Megaplax.

Given that the events are independent,  

P(A∩B) = P(A)P(B) = 0.6*0.5 = 0.3

and

P(A∪B) = 0.6 +0.5 - 0.3 = 0.8 or 80%

6 0
2 months ago
At a large university, data were collected on the number of sisters and brothers that each student had. Let the random variable
babunello [11817]
2.07. The mean for X is calculated as 1.00, and for Y as 1.07, leading to the total of X + Y = 1 + 1.07 = 2.07.
8 0
2 months ago
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