Can anyone please please help me with this,this is a quiz

Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when

tester [92]

$\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\ \quad \\$

$\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{ k}}}{x}
\end{array}$

$\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k$

$\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
\end{cases}\implies z=\cfrac{5\cdot 4}{9}$

4 0

4 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the washer? (Use π =3.14)

padilas [110]

Answer:

160.14 mm^2

Step-by-step explanation:

Area of a circle = pi r^2

subtract the area of the smaller circle from the larger

note that the smaller radius = 7 mm

pi ( 10^2 - 7^2 ) =

3.14 ( 51) = 160.14 mm^2

7 0

2 years ago

Keep that Michelle went out To dinner. The total cost of the meal, including the tip, came out to $53.70. It's a combined tip ca

vaieri [72.5K]

The question is incomplete:

Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?

Answer:

Each friend paid $22.05 without including the tip.

Step-by-step explanation:

Since you know the total cost of the meal including the tip and the value of the combined tip, you can subtract the amount of the tip from the total cost and divide the result by 2 as they spent an equal amount:

$53.70-$9.60=$44.1

$44.1/2=$22.05

According to this, the answer is that each friend paid $22.05 without including the tip.

4 0

3 years ago

A water pitcher holds 3.5 quarts of water. How many liters of water does it hold?

DiKsa [7]

3.5 quarts = 3.31 liters

6 0

3 years ago

Read 2 more answers

Hi, what is 45+b^78 divided by 67 then times 45^7?