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alexdok [17]
3 years ago
12

Please answer this question i have a test and need the answer ASAP

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0
It’s the second option

If you need an explanation let me know!
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60 beats per minute is the answer
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Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla
olganol [36]

Answer:

1.5\text{ hours}

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

M=\frac{1\text{ b}}{8\text{ hr}}

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

Make the fractions with common denominators. Our common denominator here is 24. So:

3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})

Add:

=3(\frac{13}{24})

Multiply. So, our first term is:

=\frac{39}{24}

Second Term:

We have:

\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

\frac{1}{2}(\frac{1}{8}+\frac{2}{8})

Add:

=\frac{1}{2}(\frac{3}{8})

Multiply:

=\frac{3}{16}

So, our equation is now:

\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2

Add on the left. Use the common denominator of 48. So:

\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2

Add:

\frac{87}{48}+\frac{1}{8}x=2

Subtract 87/48 from both sides:

\frac{1}{8}x=2-\frac{87}{48}

Let turn into a fraction with a denominator of 48. So:

\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}

Subtract:

\frac{1}{8}x=\frac{9}{48}

Reduce the right using 3:

\frac{1}{8}x=\frac{3}{16}

Multiply both sides by 8:

x=\frac{24}{16}

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

x=3/2=1.5\text{ hours}

And we're done!

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3 years ago
What would be the surface area of a rectangular prism with the dimensions of 10 cm by 3 cm by 5 cm ?? please help
Sindrei [870]

Answer:

130 cm squared

Step-by-step explanation:

5x3=15

15+15=30

10x3=30x2=60

10x5=20x2=40


30+60+40=130 cm squared

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Bbbbb


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1. A calculator has a regular price of $59.95 before taxes.
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The answer is A 11.99
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