MATHEMATICS MIDDLE SCHOOL

Suppose Y varies directly as X, and y = 9 when x = 3/2. Find y when x = 1.

Answers

Answer 1
Answer:

Answer:  The required value of y is 6.

Step-by-step explanation: We are given that y varies directly as x and y = 9 when x=(3)/(2).

We are to find the value of y when x = 1.

According to the given information, we have

y\propto x\n\n\Rightarrow y=k* x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of integration}]\n\n\Rightarrow y=kx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

When y = 9 and x=(3)/(2), we have from equation (i) that

9=k*(3)/(2)\n\n\n\Rightarrow k=(18)/(3)\n\n\Rightarrow k=6.

So, equation (i) becomes

y=6x.

Therefore, when x = 1, we get

y=6*1=6.

Thus, the required value of y is 6.
Answer 2
Answer: to vary directly is to be in proportion

y/x = y/x

9/(3/2) = y
9(2/3) = y
y = 6

Related Questions

You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the percent error
NEED HELPThe two-way table shows the number of people who have or have not graduated from college and who live or do not live in their hometown.Among people who do not live in their hometown, what is the relative frequency of not graduating from college? Express your answer as a decimal, and round to the nearest hundredth if necessary.The two-way table shows the number of people who have or have not graduated from college and who live or do not live in their hometown.Among people who do not live in their hometown, what is the relative frequency of not graduating from college? Express your answer as a decimal, and round to the nearest hundredth if necessary.Live in their hometown Do not live in their hometownGraduated from college 8 10Didn’t graduate from college 6 4
Which of the following expressions represents a number (n) less then 12 ?
Write 87/20 as a terminating decimal
A CABLE COMPANY CHARGES $25 PER MONTH AND $5 FOR EVERY PAY-PER-VIEW MOVIE ORDERED. WRITE THE EQUATION THAT REPRESENTS THE SITUATION,LET B represent the total bill and M represent the number of moviescomplete the tableM           B1            3023              65        graph the solution

15 points because I need it quickly!! I will give brainliest to first answerMiss Holman gave a 90-cent tip to a waitress for serving a meal costing $6.00, before tax. a) What percent of the bill was her tip? b) If tax was 6.25%, what was the total bill including tip?

Answers

Answer:

12.60

Step-by-step explanation:

What is 2.333333 in fraction form

Answers

x=2.(3)\ \ \ /\cdot10\n\n10x=23.(3)\n\n10x-x=23.(3)-2.(3)\n\n9x=21\ \ \ /:9\n\nx=(21)/(9)\n\nx=(7)/(3)\n\nx=2(1)/(3)
2.333... in fraction form is 2 and 1/3
1 ÷ 3 is 0.333...

What is 2m + 3m² - 4m ? Please show you work. :-)

Answers

Combine like terms
2m and -4m are like terms while 3m^2 isnt. So, leave 3m^2 as it is and combine the other set. 2m-4m = (-2m). Therefore, your answer should be 3m^2 - 2m

I really need help!! this is for the end of year assessment and i have to get this last one right so i don't have an F in math.Sierra and Alek each have five cousins. Their ages are listed below.

Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13

Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.

Answers

Answer: B: The ages of Sierra's cousins are more spread out than those of Alek's cousin.

at the local grocery store ,a 16-ounce bottle of apple juice costs$3.20 what is the cost of the apple juice

Answers

$3.20 trick question.

Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It’s original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, “thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

She’s incorrect I’m pretty sure u divide 20 and 60.
Other Questions
Mark and John were sharing the $10 cost to rent some video games with another friend. Mark paid $3, John paidthe total, and their friend paid the rest.Who paid the most towards the rental?
Idrives 125 miles in 2 1/2 hours .At this same rate,how far will he be able to travel in 6 hours
1. Solve x2 + 8x - 6 = 0 using the Quadratic Formula.
What fraction has the greatest valie: 1/3; 3/10; 1/4; 2/12