MATHEMATICS HIGH SCHOOL

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Answers

Answer 1

Answer:

Answer:

The number of small vehicles washed in total = 60

Step-by-step explanation:

Amount of money that soccer team selected at a car wash fundraiser = $800

Amount of money charged for small vehicles = $5

Amount of money charged for larger vehicles = $10

The amount collected can be modeled by the equation 5x + 10y = 800 , where x represents the number of small vehicles and y represents the number of larger vehicles

Now, the number of larger vehicles washed was 50 and we need to find the number of small vehicles washed.

So, y = 50 and find the value of x from the modeled equation

⇒ 5x + 10y = 800

⇒ 5x + 10 × 50 = 800

⇒ 5x + 500 = 800

⇒ 5x = 300

⇒ x = 60

Thus, The number of small vehicles washed in total = 60

Answer 2

Answer: So, we know this:

5x+10y = 800

and we also know that the number of larger vehicles was 50.

So we can substitute:

5x+10y = 800

5x+10*50 = 800

and calculate:

5x+500 = 800

and now subtract 500 from both sides:

5x=300

and divide by 5:

x=60.

and this is our answer: there were 60 smaller vehicles washed!

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Write an algebraic expression to represent the new y-coordinate after a translation of four yards south given any initial y-coordinate, y.

Answers

An algebraic expression that can be used to represent the new y-coordinate after a translation of four yards south is y-4.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let's assume that 1 unit represents 1 mile.

Given that the present coordinate of the point is y. Now, if the point is moved towards the south, then the point will be shifted to 4 units sown. Therefore, we can write an algebraic expression to represent the new y-coordinate after a translation of four yards south as,

New-coordinate = y - 4

Hence, an algebraic expression that can be used to represent the new y-coordinate after a translation of four yards south is y-4.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ2

Answer: y + (-4)

Step-by-step explanation:

A translation of four yards south involves moving 4 units in the negative y-direction. Given any initial y-coordinate, y, the algebraic expression that represents the y-coordinate after translation is y + (-4)

*edmentum answer*

After a cannonball is fired into frictionless space, the amount of force needed to keep it going equals A zero, since no force is necessary to keep it moving.
B twice the force with which it was fired.
C one half the force with which it was fired.
D the same amount of force with which it was fired.
E one quarter the force with which it was fired.

Answers

Answer:

A zero, since no force is necessary to keep it moving

Step-by-step explanation:

Since, the space is friction less, the force exerted by the gun will be enough to keep the ball going. There will not be any depreciation in the initial force. Hence, the ball continues to move forward without any impediment.

Hence, the correct answer is

A zero, since no force is necessary to keep it moving

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Answers

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Answers

Given:
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Answers

For a better understanding of the solution/explanation given here please go through the diagram in the file attached.

By definition, an angle bisector is a ray that divides an angle into two congruent angles.

In our question we have been given that GJ is the ray that is the angle bisector and that has been shown in the diagram.

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Answers

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