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Stella [2.4K]
3 years ago
6

I still am not sure how l and m are parallel

Mathematics
1 answer:
Digiron [165]3 years ago
4 0
Because the lines are similar
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Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,
Lelu [443]

Answer:

<em>Farmer Bill sold 120 lb of potatoes</em>

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x

Thus:

\frac{1}{12}x=10

x = 120 lb

Farmer Bill sold 120 lb of potatoes

5 0
3 years ago
How can you rewrite square root 2
pashok25 [27]

Answer:

2/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A bacteria triples its original population in 25 hours (A=3A0). How big will its population be in 100 hours?
jeyben [28]

Answer:

81 times the original size.

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

5 0
3 years ago
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What is equavilent to (10x+7r-r^(2))+(-6r^(2)-18+5r)
mote1985 [20]

Answer:

−7r^(2)+12r+10x−18

Step-by-step explanation:

Grab the original equation: 10x+7r−r^(2)−6r^(2)−18+5r

For subtraction bits, treat them as negatives: 10x+7r+−r^(2)+−6r^(2)+−18+5r

Combine like terms: (−r^2+−6r^2)+(7r+5r)+(10x)+(−18)

Simplify that, and you get your final answer: −7r^(2)+12r+10x+−18

6 0
3 years ago
Factor the equation a² - a - 12
Kaylis [27]

Answer:

a = -4

a = 3

Step-by-step explanation:

Hope that helps

6 0
3 years ago
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