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labwork [276]
3 years ago
14

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented 4 times as many large cars as small cars, which altogether can hold 56 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Step-by-step explanation:

Number of people hold by small cars = 4

Number of people hold by large cars = 6

Let,

Number of small cars = x

Number of large cars = y

The students rented 4 times as many large cars as small cars,

y = 4x    Eqn 1

which altogether can hold 56 people.

4x+6y=56   Eqn 2

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Keywords: linear equations, addition

Learn more about linear equations at:

  • brainly.com/question/6275033
  • brainly.com/question/6436086

#LearnwithBrainly

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lidiya [134]

Answer:

  f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}

Step-by-step explanation:

The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).

__

The derivatives alternate signs, so (-1)^k will be a factor.

The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.

The denominators have a degree that is k+1.

Putting these observations together, we can write an expression for the k-th derivative of f(x):

  \boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}

4 0
3 years ago
I need to turn this in in 2 hours please hurry
Nuetrik [128]

Answer:

  2) 162°, 72°, 108°

  3) 144°, 54°, 126°

Step-by-step explanation:

1) Multiply the equation by 2sin(θ) to get an equation that looks like ...

   sin(θ) = <some numerical expression>

Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)

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It is true that ...

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This latter relation is the one applicable to this question.

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6 0
2 years ago
6x+3y=15 .What does y equal if x=2 ?if x=5
bezimeni [28]
_Award brainliest if helped!
if x =2 ,  6(2) + 3y = 15 
3y = 15-12
y = 1
if x=5, 6(5) + 3 y = 15
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2 years ago
Which is the product of 5/18 and 6?
hoa [83]
The answer to this question is B
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2 years ago
I need help . need to get done quick thank you
marissa [1.9K]

The first one equals 0.00116

The second one equals 195,000

the third one equals 0.0286

and the fourth one equals 87,310,000,000,000,000

The smallest one is A 0.00116

Hope this helps, Jesus loves you!

4 0
3 years ago
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