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Luba_88 [7]
4 years ago
10

the sale tax rate in Jans town is 7.5% if she buys 3 lamps for $23.59 each and a sofa for $769.99, how much sales tax does she o

we?
Mathematics
1 answer:
masha68 [24]4 years ago
4 0
 Cost of Lamps =
23.59*3= $70.77

Sofa = $769.99
Add them 
769.99+70.77
=840.76
Percentage 
7.5/100 *840.76
= 63.057

She owes $63.057 to sales tax
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Which number produces an irrational number when multiplied by 1/3
MArishka [77]

We can simply observe that.

  1. 0.777... is rational, because it is a number with infinite but repeating decimal part.
  2. 1/3 is rational, because it's the division between two integers
  3. -\sqrt{16}=-4, so this is rational as well.

Since the product of two rational numbers is always rational, we have that

0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}

are all rationals, since they are the product of two rationals.

On the other hand, we have

\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}

and thus

3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}

which is irrational.

3 0
3 years ago
The difference of three times a number and 4 is 32. Find the number
Angelina_Jolie [31]

Answer:

3x - 4 = 32

Step-by-step explanation:

We solve for x to find the number (knowing that x is the unknown number).

3x - 4 = 32

3x = 32 + 4

3x = 36

x/3 = 36/3

x = 12

3 0
3 years ago
HELPPPPPP THIS IS DUE IN A LITTLE BIT!!!!!!!!!Roberto earns $7.00 an hour at a grocery store. If he works 20 hours each week, wh
vaieri [72.5K]

Answer:

C

Step-by-step explanation:

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5 0
3 years ago
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The length of a rectangle is stored in a double variable named length, the width in one named width. write an expression whose v
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<span>sqrt(pow(length, 2) + pow(width, 2))

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7 0
3 years ago
How many 7-digit phone numbers are possible, assuming that the first digit can’t be a 0 or a 1? (b) re-solve (a), except now ass
sladkih [1.3K]
A. We are going to form 7 digit numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

where the first digit cannot be 0 or 1.

so we have 8 choices for the 1. digit, and 10 choices for all the other 6 digits.

this means there are 8*10*10*10*10*10*10=8* 10^{6} possible numbers.

b.

consider the numbers which start with 911. There are 10*10*10*10=10 ^{4} such numbers, since for the 4th, 5th, 6th and 7th digits we have 10 choices.

then we remove this number, from the one we found in a:

There are in total 8* 10^{6}-10^{4}=7,990,000 numbers which don't start with 911.


Answer:

a.8*10^{6}
b.7,990,000

3 0
3 years ago
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