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Tems11 [23]
2 years ago
5

Yuki's guppies have begun to have babies. She started with 5 guppies. One week later, Yuki counted twice as many guppies in the

fish tank. Each week afterwards, the number of guppies doubled. In how many weeks did Yuki have 160 guppies?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0
Week 1 = 5 guppies.
week 2 = 5x 2 = 10 guppies
week 3 = 10 x 2 = 20 guppies
week 4= 20 x 2 = 40 guppies
week 5 = 40 x 2 = 80 guppies
week 6= 80 x 2 = 160 guppies
Yuki had 160 guppies in 6 weeks.
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3 years ago
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Help please!!!!<br> Simplify the following <br> Sqrt 100 x ^13
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Answer:

The answer is 10x^6 * sqrt x

Step-by-step explanation:

Hope it works

3 0
3 years ago
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
oksian1 [2.3K]

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft

4 0
2 years ago
John can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both John and Rocky to
mario62 [17]

Answer: it will take them 48 minutes.

Step-by-step explanation:

John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80

Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/80 + 1/120 = 200/9600 = 1/48

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

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4 0
2 years ago
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

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Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

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7 0
2 years ago
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