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3 years ago

Lena needs $50 to buy some notebooks. She had saved $2 and plans to work as a babysitter to earn $8 per hour.

Mathematics

1 answer:

____ [38]3 years ago

8 0

2 + 8n ≤ 50, so n ≤ 6

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Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one.

azamat

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

- The room has square dimensions and it has been built with two pieces of sheetrock, a smaller one and a larger one.

2. Therefore, let's call

x: the smaller one.
y: the larger one.

3. Then, you have that the lenght of the wall is the sum of the smaller one and the larger one:

x+y

4. So, the area of the room is:

(x+y)(x+y)
(x+y)²

Therefore, the answer is: (x+y)²

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3 years ago

Jin can purchase 10 gallons of biodegradable fuel for $42.99 at the local

Kobotan [32]

Answer:

b 15 gallons of fuel for $60.50

Step-by-step explanation:

because 1 gallon of fuel is for $4.299

and when you multiply 15×4.299 the answer is 64.485 which is greater than the offer you are getting it for.

3 0

2 years ago

What is one more than -5

Cerrena [4.2K]

All real numbers above -4

3 0

3 years ago

Read 2 more answers

Simplify the expression 4x^3/28x^4

KIM [24]

1/7x

Factorize the numbers (4 and 28) as they have a common factor of 4 so you can simplify it to 1/7. Cancel out the 3 in the x (numerator) from the denominator and you will have x^1 remaining in the denominator. That is also the same as x, therefore making it 1/(7x)

5 0

2 years ago

Find y as a function of x if y"' + 9y' = 0, y(0) = 6, y'(0) = 9, y"(0) = 18. y(x) =

Andreas93 [3]

Answer:

y(x) = 8 - 2cos 3x + 3sin 3x

Step-by-step explanation:

Given the equation:

y''' + 9y' = 0

The characteristic equation :

⇒r³ + 9r =0

Solving for r, we get r = 0 and r = ± 3i

The general equation for such equation is :

y = C₁ + C₂cos 3x + C₃sin 3x

Given:

y(0) = 6

Thus, Applying in the above equation, we get

6 = C₁ + C₂ .......................................................1

Differentiating y , we get:

y' = -3C₂sin 3x + 3C₃cos 3x

Given:

y'(0) = 9

Thus, Applying in the above equation, we get

9 = 3C₃

or,

C₃ = 3

Differentiating y' , we get:

y'' = -9C₂cos 3x - 9C₃sin 3x

Given:

y''(0) = 18

Thus, Applying in the above equation, we get

18 = -9C₂

or,

C₂ = -2

Applying in equation 1 , we get:

C₁ = 8

Thus,

y(x) = 8 - 2cos 3x + 3sin 3x

4 0

3 years ago