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W varies jointly as X and Y and inversely as the square of Z. If W=280 when X=30, Y=12, and Z=3, find W when X=20, Y=10, and Z=2

algol [13]

Hello! Its Me! :)

Answer:

The answer is 350.

Step-by-step explanation:

The joint variation of W with x, y and z may be expressed as follow, W = kxy / z²where k is the constant of variation. Substituting the first set of values for the variables, 280 = k(30)(12) / 3²The value of k from the equation is 7. Substituting to the same equation the values of the next set of variables, w = (7)(20)(10) / 2² = 350

6 0

3 years ago

Read 2 more answers

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

Tema [17]

Answer:

Small box weighs 13.75 kg & large box weighs 15.75 kg

Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

Let weight of large box be l and small box be s.

"3 large boxes and 5 small boxes has a total weight of 116 kilograms":

$3l+5s=116$

and

"9 large boxes and 7 small boxes has a total weight of 238 kilograms":

$9l+7s=238$

Now we can solve for l in the 1st equation and put it into 2nd equation and get s:

$3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}$

now,

$9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75$

now we plug in 13.75 into s into equation of l to find s:

$l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75$

5 0

3 years ago

The sides of a triangle are in the ratio 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the tr

Ganezh [65]

Answer:

2.5, 6 and 6.5 inches.

Step-by-step explanation:

5 + 12 + 13 = 30

So the shortest side = 5/30 * 15 = 1/6 * 15

= 2.5 inches.

The longest = 13 / 30 * 15 = 13/2

= 6.5 inches,

and the third = 12/30 * 15

= 6 inches.

4 0

3 years ago

Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x

zysi [14]

Answer:

The difference in slopes of $f(x)\ and\ g(x)$ is = 3

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = -7

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

Step-by-step explanation:

Given equation:

$f(x) =2x - 2$

$g(x) =5-x$

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

$f(x) =2x +(-2)$

Slope = 2 and y-intercept =-2

$g(x) =(-1)x+5$

Slope = -1 and y-intercept =5

The difference in slopes of $f(x)\ and\ g(x)$ is = $2-(-1)=2+1=3$

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = $-2-5=-7$

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

5 0

3 years ago

Please help ASAP+ brainliest

Maurinko [17]

Answer:

c

Step-by-step explanation:

4 0

3 years ago