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Mekhanik [1.2K]
3 years ago
9

Yohanna is conditioning all summer to be fit for the next soccer season at his high school. He incorporated walking planks into

his daily workout regime. Each day, he will complete 4 more walking planks than the day before. If he starts with 5 walking planks on the first day, how many walking planks will he do on the twelfth day?

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

I'm pretty sure the answer is 53.

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8 litres is roughly equivalent to 2 gallons, so 8 litres would be a lot more than 1 gallon. Hope this helps! :)

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33+34+35+36+...+104 what is the sum of the sequence?
Ray Of Light [21]
This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}
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3 years ago
The initial price of buzz stock is $20 per share. After 20 days the stock price is $30 per share and after 40 days the price is
Temka [501]

Answer:

s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20

Step-by-step explanation:

given,

initial price of buzz stock = $ 20 per share

after 20 days

stock price = $30 per share

after 40 days

the price =  $35 per share

let say it is modeled by

y = ax² + b x + c

x = number of days

y = stock price

x = 0 y = 20

20 = a x 0 + b x 0 + c

c = 20

x = 20 y = 30

30 = 20² a + 20 b + 20

400 a + 20 b = 10...........(1)

x = 40 y = 35

35 = 40² a + 40 b + 20

1600 a + 40 b = 15...........(2)

solving equation (1)and (2)

a = - 1/160

b = 5/8

y = -\dfrac{x^2}{160}+\dfrac{5}{8}x+20

s(t) = -\dfrac{t^2}{160}+\dfrac{5}{8}t+20

hence , the above equation is multipart function

5 0
3 years ago
Sue needs to drive 372 miles to visit her aunt. She stopped at a gas station one-third of the way in to her trip. How many miles
IRINA_888 [86]

Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = \frac{1}{3} x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

6 0
2 years ago
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