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Nata [24]
4 years ago
11

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
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