The answer is 61, x+40+5x+14=180, so x equals 21. 5(21)+14 ends up equaling 119, so 180-119 equals 1
If the linear functions have the same slope but different y-intercepts, they will never intercept. If the If the linear functions have the same slope and the same y-intercet, they are the same line. If the linear functions have different slopes and different y-intercepts, they will intercept.
Answer:
2 : 9
Step-by-step explanation:
Put the given numbers in the expression and simplify:
bikes before : total bikes
= (bikes before) : (bikes before) + (bikes bought)
= 6 : (6 +21)
= 6 : 27
= 2 : 9
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<em>Additional comment</em>
A question like this would do little to convince you ratios have some usefulness. There appears to be no point whatever to knowing the fraction of older bikes.
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Ratios are used many places in the real world. Perhaps the ratios you encounter most frequently are tax rates.
If you spend any time cooking, you know that certain ratios of ingredients produce better taste and/or texture than other ratios, and you know that (generally) changing the quantity a recipe produces will involve changing all the ingredient amounts by the same ratio.
Finance, health, time, diet budgets are often specifies as ratios: 14% APR, 2.3 infant deaths per 1000 live births, 2 hours outside class for each hour in class, 25% of calories from fat, and so on.
Of course, chemistry is all about ratios. CO₂ and H₂O are perhaps some of the more important ratios in the world right now. These specific ratios of carbon, hydrogen, and oxygen atoms make substances that are both life-giving and life-threatening. Much study is directed at determining and maintaining appropriate ratios of these substances relative to others.
Answer: x < -2.861353
Step-by-step explanation:
simplify to: 0.69897x <-2
divide both sides by 0.69897
0.69897/0.69897 < -2/0.69897
so the answer is x < -2.861353
Answer: 5 nights
Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00
We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.
We can double check. $1.50 * 5 = $7.50
$0.50 * 5 = $2.50
$2.50 + $5 = $7.50
