3 years ago

6x + 5y = 16 −6x + 7y = 80

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

The equation of the line in point-slope form is equal to

The equation of the line in standard form is equal to

step 1

Find the slope m

Let

step 2

convert to standard form

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2 years ago

Boone fitnes sells gym passes in packs of 14. A competing gym, sells gym passes in sets of 20. If both sold the same number of p

sergeinik [125]

20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140

140 is the smallest number they have in common.

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3 years ago

3. A postal carrier can

Delicious77 [7]

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6 hours. ( I DID IT USING PROPORTIONS!)

Step-by-step explanation:

houses/hours

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3 years ago

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

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3 years ago

Gorge was able to solve 36 math problems in 15 muinutes. Urban was able to solve 42 math problems in 20 muinutes. Who was able t

MrRissso [65]

Answer:

Urban, 2.1 mins

Step-by-step explanation:

36 ÷ 3 = 2 (Gorge's)

42 ÷ 2 = 2.1 (Urban)

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2 years ago