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FromTheMoon
6 days 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 [3.9K]6 days 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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How many pairs of whole numbers have a sum of 110
Inessa [3907]
Whole numbers include 0, 1, 2, 3, 4, 5, and so forth.
There are 56 pairs of whole numbers that add up to 110, such as:
0 + 110 = 110
1 + 109 = 110
2 + 108 = 110
.
.
.
.
.
55 + 55 = 110
Thus, the total count of pairs is 56.
3 0
14 days ago
An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have close
Leona [4166]
<span>The system of equations that can determine if the commuter jet’s flight path crosses the restricted airspace is:

y = \frac{1}{4}(x - 10)^2 + 6  (i)
y = \frac{-27}{34}x - \frac{5}{17}  (ii)
</span><span>
Here's why:
</span><span>
The closed airspace boundary is defined by points (10, 6) and (12, 7).
</span>
The commuter jet’s linear path runs from (-18, 14) to (16, -13).

Equation (i) describes the boundary since it fits both (10, 6) and (12, 7):

For (10, 6):
\frac{1}{4}(10-10)^2 + 6 = 6 (true)

For (12, 7):
\frac{1}{4}(12-10)^2 + 6 = 1 + 6 = 7 (true)

Equation (ii) represents the commuter jet’s path as it fits both (-18, 14) and (16, -13):

For (16, -13):
-13 = \frac{-27}{34} \times 16 - \frac{5}{17} = -13 (true)

For (-18, 14):
14 = \frac{-27}{34} \times (-18) - \frac{5}{17} = 14 (true)

By solving this system, we can confirm that the jet’s flight path intersects the closed airspace.
4 0
13 days ago
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x
AnnZ [3877]

we possess

y-6x-9=0

Step 1

Eliminate the variable y

y-6x-9=0

Add (6x+9) to each side

y-6x-9+(6x+9)=0+(6x+9)

y=(6x+9)

Step 2

Change to function notation

Define

f(x)=y

f(x)=(6x+9)

thus

the result is

f(x)=(6x+9)


6 0
12 days ago
Read 2 more answers
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this por
Svet_ta [4321]

Response:

There are no signs between the x and y along with the constants

It could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

For the form ax+by=c, the parallel line's equation will be

ax+by=d where a=a, b=b, with c and d as constants

Here, I will use 2x+5y=15

Given the equation 2x+5y=15, a parallel line would be 2x+5y=d

To find d, substitute the coordinates (4,-2), basically replacing x with 4 and y with -2 to solve for the constant

2x+5y=d

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The resulting equation is 2x+5y=-2 (only applicable if the original equation is 2x+5y=-15)

Please consider me for the highest honor.

5 0
7 days ago
Solve for y 4.2x - 1.4y = 2.1
tester [3916]
4.2x - 1.4y = 2.1
-1.4y = 2.1 - 4.2x
y = \frac{2.1 - 4.2x}{-1.4}
y = 3x - 1.5 <==
3 0
13 days ago
Read 2 more answers
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