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3 years ago

the variable Y is directly proportional to the variable X if Y= 32 when X= 20 what is the value of x when y= 40

Mathematics

2 answers:

Karolina [17]3 years ago

3 0

Answer:

x = 25

Step-by-step explanation:

A directly proportional relationship satisfies a proportion or two equal ratios. You can create a ratio between x and y coordinates written as y/x.

So when y = 32 and x= 20, the ratio is 32/20. If y = 40, what is x? This is the ratio 40/x. Set them equal in a proportion. Then cross multiply to solve for x.

$\frac{32}{20} = \frac{40}{x}$

32(x) = 20(40)

32x = 800

x = 25

MrMuchimi3 years ago

3 0

Answer:

Step-by-step explanation:

y = kx

32 = 20k

= k

40 =

(40) = x

25 = x

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Step-by-step explanation:

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3 years ago

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The equation of line r is y = 3x − 7 Line s includes the point(6, -9)and is perpendicular to line What is the equation to find s

tiny-mole [99]

Answer:

y=-.3x-7

Step-by-step explanation:

So, if you want to find a line perpendicular to another line, you have to put a decimal in front, or make it a reciprocal. In this case, I put a decimal in front to make it both perpendicular, and cross through (6, -9). Nice.

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4 years ago

You borrow $10,000 for four years at 8% toward the purchase of a car.a. Find the monthly payments and the total interest for the

shutvik [7]

Answer:

monthly payment $244.13

total interest $1,718.24

Find attached amortization schedule

Step-by-step explanation:

The monthly payment on the loan can be determined using the loan amount formula below whereby the formula is rearranged in order to make the monthly payment the subject of the formula:

PV=monthly payment*(1-(1+r)^-n/r

PV=loan amount=$10,000

the monthly payment is the unknown

r=monthly interest rate=8%/12=0.006666667

n=number of monthly payments in 4 years=4*12=48

10,000=monthly payment*(1-(1+0.006666667 )^-48/0.006666667

10,000=monthly payment*(1-(1.006666667 )^-48/0.006666667

10,000=monthly payment*(1-0.726920580280832)/ 0.006666667

10,000=monthly payment*0.273079419719168 /0.006666667

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total interest=total payments-loan amount

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Download xlsx

8 0

3 years ago

It is 3 p.m. in the Central Time Zone; therefore, it is what time in the Mountain Time Zone.

Aleksandr [31]

Central time is 1 hr ahead of mountain time.....so if central time is 3 p.m. then mountain time would be 2 p.m.

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4 years ago

Consider the equation and its solution.

AVprozaik [17]

Answer:

The correct answer is C. 2.

Step-by-step explanation:

To solve this problem, we should begin with the second step and work backwards in order to find the unknown value. If given the equation -15x + 30 = 25, we should factor out a -15 to simplify. This method is shown below.

-15x + 30 = 25

-15(x-2) = 25

We know this is correct because if we redistribute the -15 through the parentheses using the distributive property, we would get our original equation again. In other words, this answer is confirmed by the fact that -15 * -2 equals positive 30.

However, we need to look closely at the question that is asked. The box that we must fill in is already preceded by a negative sign, thus the correct answer is C. 2.

We can check our work by replacing the box with the number 2, getting -15(x-2) + 30 = 25, which was the equation we got earlier.

Hope this helps!

5 0

4 years ago

the variable Y is directly proportional to the variable X if Y= 32 when X= 20 what is the value of x when y= 40​

the variable Y is directly proportional to the variable X if Y= 32 when X= 20 what is the value of x when y= 40