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3 years ago

a direct variation function contains the points ( -8, -6 ) and (12,9 ) . Which equation represents the function ?

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

y = $\frac{3}{4}$ x

Step-by-step explanation:

Given that the quantities vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use either of the 2 given points

Using (12, 9), that is x = 12 when y = 9, then

k = $\frac{y}{x}$ = $\frac{9}{12}$ = $\frac{3}{4}$

y = $\frac{3}{4}$ x ← equation of variation

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Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n

Juliette [100K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Please help, I think I know the answer am I correct? +90 + -77 I got= -13

alexandr1967 [171]

The correct answer would be +13 since 90 is positive and the greatest number

6 0

4 years ago

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get o

AlexFokin [52]

Answer:

We should add 1.2 fluid ounces of oil

Correct statement and question:

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline. You have 2 quarts of gas. How much oil should you add?

Source:

https://www.chegg.com/homework-help/questions-and-answers/really-excited-found-puch-maxi-moped-mid-eighties-spring-weather-making-want-get-ride-arou-q38287224

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Ratio = 2.4 fl. oz. of oil for every gallon of gasoline

Amount of gas you have = 2 quarts

2. How much oil should you add?

Let's recall that 1 liquid gallon = 4 liquid quarts, therefore:

Ratio = 2.4 fluid ounces of oil for every 4 quarts of gasoline

Replacing the with the real amount of gas we have:

Ratio = 1.2 fluid ounces of oil for every 2 quarts of gasoline )dividing by 2 the oil amount and the gas amount)

We should add 1.2 fluid ounces of oil

7 0

3 years ago

Does anyone know the answer to this i need help really bad!!!

ziro4ka [17]

Step-by-step explanation:

1/2
0.5 is yr ans

<h2>stay safe healthy and happy...</h2>

4 0

3 years ago

George and carmen went on a bicycle trip. they took a bus to their starting piont, and then biked the rest. they traveled 275 ki

rodikova [14]

We need to do a system of equations here.

x + y = 275 (if you travel x km by bike and y km by bus, then you travel 275 km as given in the problem)
y = x + 55 (the problem stated that they were bussed (y) the amount they biked plus 55 more km (x + 55))

The second equation is already solved for y. So, we can plug it in to the first equation.

x + (x + 55) = 275
2x + 55 = 275 [combine x terms]
2x = 220 [subtract 55 from both sides]
x = 110 [divide by 2 to isolate x and solve for it]

Now we know that x is 110, the distance they traveled by bike.
And that's what we needed to answer the problem!

5 0

4 years ago