MATHEMATICS MIDDLE SCHOOL

Find an equation of combined variation where a varies directly as b and inversely as c. One set of values is a = 4, b = 12, and c = 9. Find a when b = 7 and c = 3.

Answers

Answer 1
Answer:

Answer:

Combined equation is  

Step-by-step explanation:

a varies directly as b and  inversely as c.

This can be written as

a =

a =  kb

where k is the proportionality constant

-------------------------------------(1)

Now lets find the k value bu substituting the given a, b,c values

36 =  12 k

k = 3

Thus the eq(1) becomes

Let us now find the value of a  when b=7  and c = 3

a = 7


Related Questions

HIGH SCHOOL

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.89 and 0.84. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. X = number of components that meet specifications. Round your answers to four decimal places (e.g. 98.7654).

Answers

Answer:

P(X = 0) = 0.0176

P(X = 1) = 0.2348

P(X = 2) = 0.7476

Step-by-step explanation:

Because there are 2 mechanical components you have 3 differents scenarios:

1. The 2 components dont meet the specification (X = 0)

2. 1 of the 2 component doesnt meet the specification (X = 1)

3. The 2 components meet the specification. (X = 2)

P(A) = 0.89

The probability that A doesnt meet the specification is 1- P(A) = 0.11

P(B) = 0.84

The probability that A doesnt meet the specification is 1- P(B) = 0.16

Then using those probabilities to determine the probabilities of each scenario you get:

1. The 2 components dont meet the specification

P (X = 0) = (1 - P(A)) * (1- P(B))

P (X = 0) = 0.11 * 0.16 = 0.0176

2. 1 of the 2 component doesnt meet the specification (X = 1)

P (X = 1) = P(A)*(1- P(B)) + P(B)*(1 - P(A)) /// (The probability that A meets specification and B doesnt or B that meets specification and A doesnt)

P (X = 1) = 0.89*0.16 + 0.84*0.11 = 0.2348

3. The 2 components meet the specification. (X = 2)

P(X = 2) = 0.89*0.84 = 0.7476

MIDDLE SCHOOL

Gayle is making fruit punch that consists of 2 quarts of juice and 1 quart of soda water. How much soda water does she need if she has 5 quarts of juice?

Answers

Gayle would need 2 and a half quarts of soda water
Gale will need to have two half quarts of soda water

HIGH SCHOOL

What is the curse of bambino

Answers

It is a myth/superstition, some people took it seriously but some thought it was a lie
The curse of the bambino is just a myth...
MIDDLE SCHOOL

Jaime has 16 grapes. Samantha has 20 grapes. Each girl eats of her grapes. Which statement is true? A. Jaime ate more grapes than Samantha did.

B. Samantha ate more grapes than Jaime did.

C. Jaime and Samantha ate an equal number of grapes.

Answers

B. Samantha ate more grapes than Jaime did. 
THE ANSWER WOULD BE SAMATHA ATE MORE GRAPES THEN JAMIE DID
So the answer is B
Random Questions
Historical fiction is concerned with depicting historical figures and events in a new light. In this excerpt from Arthur Conan Doyle’s “The Contest,” which sentences most clearly describe historical elements? Policles sprang readily to his feet at the challenge, and the great company making way for him to pass, he found himself a minute later standing in his unkempt garb, with his frayed and weather-beaten harp in his hand, before the expectant crowd. A.He stood for a moment tightening a string here and slackening another there until his chords rang true. B. Then, amid a murmur of laughter and jeers from the Roman benches immediately before him, he began to sing. C.He had prepared no composition, but he had trained himself to improvise, singing out of his heart for the joy of the music. He told of the land of Elis, beloved of Jupiter, in which they were gathered that day, of the great bare mountain slopes, of the swift shadows of the clouds, of the winding blue river, of the keen air of the uplands, of the chill of the evenings, and the beauties of earth and sky. D.It was all simple and childlike, but it went to the hearts of the Olympians, for it spoke of the land which they knew and loved. E.Yet when he at last dropped his hand, few of them dared to applaud, and their feeble voices were drowned by a storm of hisses and groans from his opponents. He shrank back in horror from so unusual a reception, and in an instant his blue-clad rival was in his place. If he had sung badly before, his performance now was inconceivable. His screams, his grunts, his discords, and harsh jarring cacophonies were an outrage to the very name of music.