The total amount y (in dollars) in your savings account after buying x video games is represented by y=90-10x. You have $40 in your account after buying video games. How many video games did you buy?

Answers

Answer 1

Answer: 5 video games bought.

Explanation:
Step one) identify all variables.
> y = money in bank acc AFTER buying (x) video games.
Step two) y = $40
Step three) substitute
> 40 = 90 - 10x.
Step Four) solve for x
> subtract 90 both sides.
-50 = -10x
DIVIDE by -10 on both sides ( to isolated x)
This equals 5 = x
x is number of video games bought meaning >> 5 video games bought :))

Answer 2

Answer:

Final answer:

The equation y = 90 - 10x indicates the amount left in the savings account after buying x number of video games. Plugging in 40 for y and solving for x, it is found that 5 video games were purchased.

Explanation:

To find out the number of video games purchased, you need to solve the equation y = 90 - 10x for 'x' when 'y' is 40. This equation represents the total amount in your savings account (y) after buying x number of video games.

Plug in 40 for 'y' in the equation:
40 = 90 - 10x
Subtract 90 from both sides of the equation:
-50 = -10x
Divide both sides by -10:
5 = x

So, you bought 5 video games to have $40 left in your savings account.

Learn more about Solving Equations here:

brainly.com/question/18322830

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The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

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If sin A = .5 and cos A = .866 then what is tan A to the nearest thousandth

Answers

Somewhere in a table of trig-function definitions that you have somewhere,
it mentions that

tan(a) = sin(a) / cos(a).

So it must follow that

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In a trivia game, Levi answered 8 questions correctly out of 10 turns in the game. Then, he answered the next 3 questions correctly. He reasoned that because he added 3 the both the total questions and his correct responses, that the ratio of correct answer to total questions remained the same. Is he correct? Justify the answers

Answers

Answer:

He is not correct as the ratios are;

First ratio is 4:5,

Second ratio 11:13

Which are different values

Step-by-step explanation:

The number of correct questions Levi answered = 8 questions

The number of questions in the game = 10

The ratio of correctly answered questions to total number of questions in the first 10 question is given as follows

Correctly answered questions : Total number of questions = 8:10

Which can be simplified as 8:10 = 8/2:10/2 = 4:5

The number of correct questions Levi answered in the next three turns = 3 questions

The total number of questions attempted by Levi becomes 10 + 3 = 13 questions

The total number of correct answers given by Levi = 8 + 3 = 11 correct answers

The new ratio of correctly answered questions to total number of questions is therefore;

New correctly answered questions : Total number of questions = 11:13.

Therefore, the ratios do not remain the same as 4:5 ≠ 11:13.

At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?

b. The ratio of male cats seen was 6:7. How many of the cats seen were males?

Answers

a: 28 cats were seen, to find the answer you multiply the ratio, 4:5 by 7 so that the total animals is 35, 28:35
b:24 cats seen were males, you do this problem similar to the other one. Multiply the ratio by 4 so that the total number of cats is 28, 24:28

snooker is a kind of pool or billiards played on a 6 foot by 12 foot table. the side pockets are half way down the rails . find the distance to the nearest tenth of a foot, diagonally across the table from the corner pocket to corner pocket

Answers

Let length be 12 ft (l = 12 ft) and width be 6 ft (w = 6ft).

The side pocket will be on the half of its length (l). To calculate the distance, we will use the distance d as a hypotenuse of the right triangle with sides w and l/2.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of two other sides:

d² = w² + (l/2)²

We have:

d = ?

w = 6 ft

l = 12 ft

d² = 6² + (12/2)²

d² = 6² + 6²

d²= 2 * 6²

d² = 2 * 36

d² = 72

d = √72

d = 8.48 ft

Since 1 ft is 12 in, then 8.48 ft is 101.76 in:

8.48 * 12 in = 101.76 in

Hope this helps!

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Answers

.59 as a fraction can be written as 59/100.
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Answer:

59/100

Step-by-step explanation:

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