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kirza4 [7]
3 years ago
5

What is the best approximation of 6% tax on a $102 purchase?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
5 0
The best approximation would be $6.12
Naddika [18.5K]3 years ago
4 0

To approximate 6% tax on a $102 purchase, we can round these numbers to make our simplification easier.

Let's change 6% to 5% and round $102 down to $100, which makes our expression 5% tax of $100. This can be expressed as (5% * 100), because the word of represents multiplication in math.

Because we can't multiply percentages, we must find the fractional equivalent of 5%. Percentages are parts of a total 100 percent, so they can be represented by dividing the percent by 100. In this case, this is 5/100.

Now, our expression is 5/100 * 100. If we were to multiply this fraction, the factor of 100 would be in the numerator and would cancel out with the 100 in the denominator. Therefore, we know that the answer is 5 (because the two 100s cancel each other out).

Thus, a good estimate for 6% of $102 is $5. We can check our estimate by multiplying 6/100 * $102, which equals $6.12. Because this number is close to $5, we know that our estimate is accurate.

Hope this helps!

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In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2
amm1812

The value of x is 4.

By Geometry, we know that line segment DF = DE + EF, which is equivalent to:

DF = 3\cdot x + 2 + x + 5

DF = 4\cdot x + 7 (1)

Now we solve algebraically the resulting expression.

If we know that DF = 23, then we solve the equation for x:

4\cdot x + 7 = 23

4\cdot x = 16

x = 4

The value of x is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0
2 years ago
Please help !<br> If you can
iren2701 [21]

Answer:

80 degrees

Step-by-step explanation:

We can use the Central Angle Theorum, which states that if the vertex of the angle is the center of the circle, then the arc is the same measurement as the angle.

In this case, m<COB is 80 degrees, and the vertex is the center of the circle, which means that measure of arc CB is also 80 degrees

8 0
3 years ago
On Tuesday Conrad had 3 times as many sales as on Monday. On Wednesday, he had 9 times as many sales as on Monday. Over the thre
Vlad1618 [11]

Answer:

Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

Step-by-step explanation:

Let x be the no. of sales on Monday

We are given that On Tuesday Conrad had 3 times as many sales as on Monday.

So, Conrad had sales on Tuesday = 3x

We are also given that On Wednesday, he had 9 times as many sales as on Monday.

So, Conrad had sales on Wednesday = 9x

Over the three days, he had a total of 728 sales

So, x+3x+9x=728

13x=728

x=\frac{728}{13}

x=56

Conrad had sales on Tuesday = 3x =3(56)=168

Conrad had sales on Wednesday = 9x=9(56)=504

Hence Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

7 0
3 years ago
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