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Anettt [7]
3 years ago
11

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Answer:

y is also doubled.

Step-by-step explanation:

Direct proportionality between x and y means that

y \propto x

or

y=cx,

which indicates a linear relationship between  x and y because they are related by a constant.

Therefore, if x is doubled, then the new value of y is y_{new}

y_{new}=c(2x)

y_{new}=2(cx)

y_{new}=2y

The new value of y is 2 times the previous; therefore, y is doubled as x is doubled.

zzz [600]3 years ago
5 0

Answer:

It is doubled.

Step-by-step explanation:

Two quantities, x and y, are directly proportional. If x is doubled, what happens to y?

It is doubled.

I got it correct I took a screen shot I got it right.

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micheal pays 30 to enter a state fair, plus 4 for each ride. which of the following equations represent his total cost
Shkiper50 [21]

Answer:

I cant see the equation but it should go something along the lines of t = 30 + 4r

Step-by-step explanation:

t = total

r = number of rides

Example: If he went on 4 rides, hen u would imput 4 into r like this

t = 30 + 4 (4)

t = 30 + 16

t = 46

8 0
3 years ago
The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacemen
mamaluj [8]
<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

7 0
3 years ago
The teacher paid $12 for 6 pounds of candy. Which statement is true about her unit<br> rate?
Hunter-Best [27]

Answer:

For every pound of candy, the teacher spent $2

Step-by-step explanation:

6 0
2 years ago
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kolezko [41]

Answer:

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Step-by-step explanation:

66,681 is closest to 70,000 rather than 60,000.

6 0
2 years ago
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Use distributive property to simplify (m-5)4
Blababa [14]

Answer:

4m-20

Step-by-step explanation:

(m - 5)4 \\  = m \times 4 +  - 5 \times 4 \\  = 4m - 20

8 0
2 years ago
Read 2 more answers
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