All categories

3 years ago

2. Suppose that y varies inversely with x. Write an equation for the inverse variation.

Mathematics

1 answer:

labwork [276]3 years ago

7 0

Answer:

$y=\frac{28}{x}$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

we have

y = 4 when x = 7

Find the value of the constant of proportionality k

$k=y*x$

substitute

$k=(4)(7)=28$

therefore

The equation for the inverse variation is equal to

$y=\frac{28}{x}$

You might be interested in

The school amrching band has 36 members, the band director wants to arrange the band members into a square formation how many ba

bixtya [17]

If it is in a square formation, you would have to find the square root of 36 which is 6

8 0

3 years ago

Simplify the given expression. (4x2squared-15x-21)+3x2squared-10)

Bess [88]

Answer:

$7x^{2} - 15x -31$

Step-by-step explanation:

$(4x^{2} - 15x -21) + 3x^{2} - 10 = 4x^{2} + 3x^{2} - 15x -21 - 10 = 7x^{2} - 15x -31$

4 0

3 years ago

Aimee is in charge of buying tickets for a trip to the movies. She can buy tickets at the theater or online. At the theater, 8 t

inessss [21]

Answer:

Aimee can save $24 by buying tickets at the lower price that is at the theater.

Step-by-step explanation:

First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:

Theater:

60→8

x ←24

x=(60*24)/8=180

Online:

51→6

x ←24

x=(51*24)/6=204

Now, you need to calculate the difference:

$204-$180=$24

According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.

3 0

3 years ago

At an animal shelter, there are 15 dogs and 12 cats.

Bond [772]

Answer:

Dogs: 44.44 Cats: 55.556

Step-by-step explanation:

*this is only if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = 27.

2. Solve

a. There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

b. Simplify

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

7 0

2 years ago

Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right

RideAnS [48]

Answer:

Choise B: $-1.3+1.9$

Step-by-step explanation:

For this exercise you must remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

By definition, equivalent expression have the same value.

Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it.

So, given:

$-1.3 - (-1.9)$

To simplify it, you can distribute the negative that is located outside of the parentheses (in order to eliminate the parentheses).

Applying this procedure, you get the following equivalent expression:

$-1.3 - (-1.9)=-1.3+1.9$

Therefore, as you can notice, the expression obtained matches with the one shown in Choice B.

8 0

3 years ago