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Vera_Pavlovna [14]
3 years ago
9

PLEASE HELP!!! I WILL MARK BRAINLEST!!!

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

Each hat is $5

Each mask is $3

Step-by-step explanation:

Hat= x dollars

Mask= y dollars

Now,

3 hats and 4 mask sold = $27

We can write

3x + 4y = 27

Adding the second equation (-1 times 1st equation) gives us;

3x + 6y = 33

-1* (3x + 4y = 27)

3x + 6y = 33

-3x -4y = 27

2y = 6

y = 6/2

***y = 3***

Now we replace y= 3 into 1st equation and solve for x:

3x + 4y = 27

3x + 4(3) = 27

3x + 12 = 27

3x + 15

x = 15/3

***x= 5***

Each hat costs $5

Each mask costs $3

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12 Car washes for $100

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mark brainliest please.

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Klio2033 [76]

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Step-by-step explanation:

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3 years ago
Image is the equation
Leni [432]

Answer:

y = \frac{3}{4} x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

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6 0
1 year ago
In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

P(1) = 24e^k = 48

e^k = 2

k = ln(2) = 0.693

Therefore P(t) = 24e^{0.693t}

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

24e^{0.693t} = 1000000

e^{0.693t} = 1000000 / 24 = 41667

0.693t = ln(41667) = 10.64

t = 10.64 / 0.693 = 15.35

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. P' = P_0ke^{kt}

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

24e^{0.5k) = 48

0.5k = ln2 = 0.693

k = 1.386

Therefore, P' = 1.386*24e^{1.386t}

At the mid of the 3rd year, where t = 2.5, we can calculate P'

P' = 1.386*24e^{1.386*2.5} = 1064.67 rabbits/year

4 0
3 years ago
There are 18 girl in a class and boys in the class is 3:2. Find the number of boys.​
Sunny_sXe [5.5K]

Answer

12

Explanation

2xand 3x

let 3 be 3x

3x=18

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now

2x=2multiply6

12

the number of boys is 12

8 0
3 years ago
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