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3 years ago

If w varies jointly as x and y when w = 12, x = 2, and y = 18, what is the value of y when w = 16 and x = 6?

Mathematics

2 answers:

polet [3.4K]3 years ago

8 0

The answer is eight

hichkok12 [17]3 years ago

7 0

Joint variation means that w=kxy where k is constant.
Finding k:
12=k*2*18
12=36k
k=1/3

Now plug in second set of values
16= 1/3*6*y
16=2*y
y=8

Final answer: 8

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Please help me if you can ‼️

Karolina [17]

Answer:

$y=14.5x+5$

Step-by-step explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

<em>Find the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{92-63}{6-4}$

$m=\frac{29}{2}=\$14.5\ per\ ticket$

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope b is the y-intercept

we have

$m=14.5$

$point\ (4,63)$

substitute

$63=14.5(4)+b$

solve for b

$b=63-14.5(4)$

$b=\$5$

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

$y=14.5x+5$

4 0

2 years ago

Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am

Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = - $\frac{3}{4}$ x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(- $\frac{3}{4}.x + 3$ )

A = - $\frac{3}{4}.x^{2} + 3x$

To maximize, we have to differentiate the equation:

$\frac{dA}{dx}$ = $\frac{d}{dx}$ (- $\frac{3}{4}.x^{2} + 3x$ )

$\frac{dA}{dx}$ = -3x + 3

The critical point is:

$\frac{dA}{dx}$ = 0

-3x + 3 = 0

x = 1

Substituing:

y = - $\frac{3}{4}$ x + 3

y = - $\frac{3}{4}$ .1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0

3 years ago

Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introd

Marat540 [252]

Answer: legislative risk

Step-by-step explanation:

Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.

Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.

7 0

3 years ago

Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.

Annette [7]

Answer:

Binomial probability, with $n = 5, p = 0.352$

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

His average was 0.352.

This means that $p = 0.352$