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4 years ago

The sale tax in a certain state is 5 1/2%. What would be the tax on an item that costs $535.00

Mathematics

1 answer:

nexus9112 [7]4 years ago

7 0

Answer:

$29.43

Step-by-step explanation:

5 1/2 % or 5.5% is 0.055 as a decimal. Multiply 535 by 0.055 to find what 5.5% of 535 is...

0.055(535) = 29.425

Since we're working with dollars, round to the nearest hundredth, which is

$29.43

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What is 3 percent as a fraction in simplest form?

Karo-lina-s [1.5K]

3/100, is what it should be

5 0

3 years ago

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

Please help and explain. The question is in the picture below.

Murrr4er [49]

Answer:

D and yes

Step-by-step explanation:

$\frac{x}{4}$ + 1 = -3 If we multiply both sides of the equation by 4 will will get the second equation

(4) $\frac{x}{4}$ + (4) 1 = (4) -3

x + 4 = -12 We solve this for x by subtracting 4 from both sides.

x = -16

Plug -7 into both equations and you will see that it is a solution

$\frac{x}{4}$ + 1 = -3

$\frac{-16}{4}$ + 1 = -3

-4 + 1 = -3

-3 = -3

x + 4 = =12

-16 + 4 = -12

-12 - -12

7 0

2 years ago

The difference between Sally’s PE mark and Science mark is 12, and the sum of the marks is 154. If the PE mark is the higher mar

Vesna [10]

Answer:

PE = 83 and Science = 71

Step-by-step explanation:

let P represent PE and S represent Science with P > S, then

P + S = 154 → (1)

P - S = 12 → (2)

Adding the 2 equations term by term eliminates S

2P = 166 ( divide both sides by 2 )

P = 83

Substitute P = 83 into (1)

83 + S = 154 ( subtract 83 from both sides )

S = 71

Hence PE mark = 83 and Science mark = 71

7 0

3 years ago

1. Find the slope using points: (2, 2) and (-5, 4)

IrinaK [193]

Answer:-2/7

Step-by-step explanation:

m=y2-y1/x2-x1

m=slope

3 0

3 years ago

Read 2 more answers