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3 years ago

How to solve this problem by classifying systems of equations 3x+4y=36 -5x=35-3y

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

x=-32/29

$y=9\frac {24}{29}$

Step-by-step explanation:

3x+4y=36 Equation 1

-5x+3y=35 Equation 2

Multiplying equation 1 with 3 (value before y in equation 2) and equation 2 with 4 (value before y in equation 1) we obtain equations 3 and 4 as follows

9x+12=108 equation 3

-20x+12y=140 equation 4

Subtracting equation 3 from equation 4 we obtain

-29x=32

x=-32/29

To find the value of y, we substitute the value of x into equation 2 as initially given in the equation

-5(-32/29)=35-3y

-5(-32/29)-35=-3y

$y=9\frac {24}{29}$

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A baseball is dropped from a glider 500 feet above the ground. The height (in feet) above the ground is modeled by the function

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A) 436 ft

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Step-by-step explanation:

The height of the ball at time t is given by the equation

$h(t)=-16t^2+500$

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$-16 ft/s^2$ is the acceleration of the ball (acceleration of gravity, downward)

+500 is the initial height of the ball, at time t = 0

Here we want to find the height of the ball after 2 seconds, so at a time of

t = 2 s

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Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which

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$h(t)=-16t^2+500$

Since

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4 years ago

After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.

ehidna [41]

1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking

Mean=The average of all his throws

It's asking us to calculate his total score

2. Find Clues to help you solve word problems

Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier

5 throws and Mean Score is 32 are the clues

3. Guess and check

The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.

Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5

Let's try bigger numbers

20+25+20+20

If you like this method, you may try it another method is called work Backwards

5x32=160

Then divide 160 by 5 to double check and you get 32!!

========================================

Therefore, the answer s 160 as his total score

hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept

Hope this helped (:

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