What does it mean for an equation to express y in terms of x

Answers

Answer 1

Answer: This is also known as constant of variation.

So, lets give an example

y = 4 and x = 2

If y = 8, what does x equal?

4*2 = 8
y = 8

x = 2
2*2 = 4

x = 4

We solve for the missing value based on the other value.

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A population of 500 beetles is expected to grow at a rate of 70% per week.Which number is the best prediction of the population after 15 weeks?13802862525,0001,431,212

A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in3 per week.How many weeks will it take for all of the chemical to evaporate?

Use 3.14 to approximate pi.

Answers

volume of a cone=1/3 times height times area of base
area of base=circle
circle=pi times radius^2
aprox pi at 3.141592

3.141592 times 150^2=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in^3 =volume

so 12000 per week

so voumue/volume per week=weeks

5654865.6/12000=471.239
the rounded answer is 471

volume of a cone=1/3 times height times area of base
area of base=circle

circle=pi times radius²
aprox pi at 3.141592
3.141592 times 150²=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in³ =volume
so 12000 per week

so volume/volume per week=weeks
5654865.6/12000=471.239

Determine the ordered pair that satisfies the equation, 2x - 8y = -9.

Answers

you need another equation, other wise x can be anything, and y can be infinitely different solutions.

An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object? Formula=1/2mv^2 a(7.5 b(15 kg c(60 kg d(120 kgnevermind i found the answer its (15 kg) because to solve for m its m= K2/v squared

Answers

The Kinetic Energy (K.E) of an object can be calculated as:

$K.E= (1)/(2)mv^(2)$

We are given:
K.E = 480 K
Velocity of the object = v = 8 m/s

Using the values, we get:

$480= (1)/(2)m(8)^(2) \n \n 480= (1)/(2)*64m \n \n 480=32m \n \n m=15$

Thus, the mass of the object will be 15 kg.

So the correct answer is option b

Hello!

An object has a velocity of 8 m/s and a kinetic energy of 480 J. What is the mass of the object ?

We have the following data:

KE (Kinetic Energy) = 480 J

m (mass) = ? (in Kg)

v (speed) = 8 m/s

Formula to calculate kinetic energy:

$\boxed{KE = (1)/(2)*m*v^2}$

Solving:

$KE = (1)/(2)*m*v^2$

$480 = (1)/(2)*m*8^2$

$480 = (1)/(2)*m*64$

$480*2 = 64*m$

$960 = 64\:m$

$64\:m = 960$

$m = (960)/(64)$

$\boxed{\boxed{m = 15\:Kg}}\end{array}}\qquad\checkmark$

Answer:

b) 15 kg

_______________________________

I Hope this helps, greetings ... Dexteright02! =)

if there are 65 boys in a classroom and the ratio of boys to girls is 13:15, how many students are in the class?

Answers

There are 65 boys, and the boy ratio is 13: so to find how they got that, divide 65 by 13 and that is 5. Since we now know it is the amount of people, divided by 5, we can take the girl ratio (15) and multiply it by 5 to get the amount of girls (which is 75). You need to find the total amount of students in the class so add the boys and girls (65+75) and get 140 total students

7. What is the perimeter of triangle PQR. See image below.

Answers

Answer: B

Step-by-step explanation:

First find perimeter of ABC which is 21

Next multiply 21 by 0.6 to get 12.6

Answer is B.12.5 feet.

hope it helps

In your classroom, a dry erase board is 8 feet long and 4 feet wide. You teacher makes individual dry erase boards for you to use at your desk that are 11.5 inches long and 9.5 inches wide. Are the boards similar?

Answers

Both boards are not similar, since the board made by the teacher does not have a ratio of 2:1.

Ratios

Given that in your classroom, a dry erase board is 8 feet long and 4 feet wide, and your teacher makes individual dry erase boards for you to use at your desk that are 11.5 inches long and 9.5 inches wide, to determine if the boards are Similarly, the following calculation must be performed:

8:4 = 2:1
11.5:X = 2.1
11.5 / 2 = 5.75

Therefore, both boards are not similar, since the board made by the teacher does not have a ratio of 2:1.

Learn more about ratios in brainly.com/question/1504221

Answer:

Step-by-step explanation:

The ratio of length to width in the first is 2 : 1 while the ratio of the second is 23 : 19

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