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Elena-2011
2 months ago
9

It takes Engineer Kweku three hours to drive to his brother’s house at an average speed of 50 miles per hour. If He takes the sa

me route home, but his average speed is 60 miles per hour, what is the time, in hours, that it takes him to drive home?
​
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
5 0

Answer:

  2.5 hours

Step-by-step explanation:

Distance equals speed multiplied by time. For constant distance, time varies inversely with speed. When traveling at 60/50 = 6/5 times the original speed, the return journey takes 5/6 of the initial duration:

  (5/6)(3 hours) = 2.5 hours... return trip duration

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Matt invested $1500 into a stock of his choice. After two years, he had received
Leona [12618]

For this query, the time presented seems unclear to me. I understand that the rate of return is determined by total return over the investment. Assuming Matt received $400 as dividends without reinvesting them into additional shares, his total return across two years amounted to $500. Conversely, if the dividends were reinvested into the stock—something that typically happens with a 401(k) or IRA—his ROI would render a mere 6% due to only a $100 gain on a $1500 investment. In an actual market scenario, it’s likely that Matt would have experienced about a 5% return on a solid stock, while Bella would have had approximately 0.05% from a savings account.

I hope this was helpful!;)

3 0
3 months ago
Maia had 2064 more beads than Jenny. After Maia used 144 beads to make a necklace, she had 5 times as many beads as Jenny. A) ho
tester [12383]

Answer:

A) Maia had 1920 beads more.

B) Maia had 2544 beads at first.

Step-by-step analysis:

Let x denote the beads with Jenny and y for Maia.

The information provided states that Maia possesses 2064 beads more than Jenny, which can be represented mathematically as:

y=x+2064...(1)

Additionally, after Maia made a necklace with 144 beads, she had five times more beads than Jenny.

This can also be formulated as an equation:

y-144=5x...(2)

A) Since Maia had 2064 beads more than Jenny before using 144 beads, we calculate her final bead count by subtracting 144 from 2064.

\text{Number of beads Maia had more than Jenny in the end}=2064-144

\text{Number of beads Maia had more than Jenny in the end}=1920

Thus, Maia is left with 1920 beads more than Jenny.

B) To solve this system of linear equations, we will utilize the substitution method.

By inserting equation (1) into equation (2), we arrive at:

x+2064-144=5x

x+1920=5x

x-x+1920=5x-x

1920=4x

Now, let's divide our equation by 4.

\frac{1920}{4}=\frac{4x}{4}

480=x

Now, we'll substitute x=480 into equation (1) to isolate y.

y=480+2064

y=2544

Conclusively, Maia initially had 2544 beads.

3 0
2 months ago
Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive a
AnnZ [12381]
Utilizing the specified equation,
                              V = lwh
The volume for the prism illustrated is given by,
                              V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By means of factoring,
                            V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
By removing identical terms from both the numerator and the denominator,
                           V = (x)(2x -5)(6x)
3 0
1 month ago
Read 2 more answers
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