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tresset_1 [31]
3 years ago
15

Can anyone help out?

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0
Exponential decay is the answer
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Read 2 more answers
Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w
OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call t_1 while it takes Jenna to clean the gutters

Let's call t_2 while it takes John to clean the gutters

t_1 = 4 h

t_2 = 3 h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

V_1 = \frac{1}{4} g/ h

V_2 = \frac{1}{3} g/h

V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}

So:

V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}

\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h

t = \frac{12}{7} h

Then, both together paint \frac{7}{12} of gutters for each hour.

This means that it takes \frac{12}{7}  hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

7 0
3 years ago
Janaya buys a postcard from each travel destination she visits. Before starting her travels this year, Janaya had 20 postcards.
MrRa [10]

Answer:

The percentage increase in Jayana's postcard collection is 15%

Step-by-step explanation:

Jayana had 20 postcards last year

With 3 more postcards this year

From the given equation Quantity = Percent x Whole

Here;

Let P = Percent/100%

Quantity = Increment in postcard = 3 postcards

Whole = The total postcards from last year = 20 postcards

Hence,

3 postcards = P x 20 postcards

P = 3/20 = 0.15

Recall P = Percent/100%

∴ Percent = P x 100% = 0.15 x 100% = 15%

The percentage increase in Jayana's postcard collection is 15%

4 0
3 years ago
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