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DedPeter [7]
3 years ago
6

Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.

Mathematics
1 answer:
marta [7]3 years ago
4 0
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
                                                                                          = 1 * 4 dollars
                                                                                          = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
                                                                   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

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Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3
Alex_Xolod [135]

Answer:

1a:  \frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

1b: See below

1c:  2\frac{3}{4} inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

\frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

1b. Solve the equation written above from 1a.

\frac{3}{4} + \frac{1}{3}x = 2\frac{1}{2}

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

\frac{1}{3}x = 1\frac{3}{4}

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= 5\frac{1}{4}

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  2\frac{3}{4}

4 0
2 years ago
What is the value of B!?!!?!?!?!
puteri [66]
Answer: b is 35
step by step explanation
5 0
3 years ago
Read 2 more answers
2 Points
Over [174]

Answer:

A. Five places to the left

Step-by-step explanation:

Scientific notation is a method used so we can show a very big/small number easier. Rather than putting so many zeroes, we put the number in the format of a number multiplied by 10^x.

Before putting a number into scientific notation, you need to know which number is a significant  figures. In this question, there are two significant figure which is 39, all zeroes on the right is insignificant. We can move the decimal to convert the number into 3.9 * 10^5. Basically you need to move the decimal to the left  if the exponent positive, but move it to the right if its negative. The exponent is +5 so we move the decimal points 5 places to the left.

6 0
3 years ago
Need help with translation
sergij07 [2.7K]

Answer:

The translation rule will be: (x, y) → (x+3, y+9)

Step-by-step explanation:

As X'Y' is a translation of XY.

As the location of the vertix X is (-4, -9) and the coordinates of vertex Y is (-5, -5).

As X'Y'  be the vertices of the translated figure.

So, if we translate the segment XY +3 units in the x-direction and +9 units in the y-direction, i.e.

(x, y) → (x+3, y+9) = (-4+3, -9+9) = (-1, 0) = X'

and

(x, y) → (x+3, y+9) = (-5+3, -5+9) = (-2, 4) = Y'

so, the image X'Y' will have the X' vertice at the location (-1, 0) and Y' vertice at the location (-2, 4).

Therefore, the translation rule will be: (x, y) → (x+3, y+9)

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3 years ago
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BigorU [14]

Answer:

-r^2-3r+4

Step-by-step explanation:

The question is to simplify the expression  (2r^2+r-1)-(3r^2+4r-5)

First, we can eliminate the 2nd parenthesis expression by changing signs of all the terms since there is a "-" sign in front. Then we add the "Like Terms". The process is shown below:

(2r^2+r-1)-(3r^2+4r-5)\\=2r^2+r-1-3r^2-4r+5\\=-r^2-3r+4

The first answer choices (has some typos) is correct. The correct answer is  -r^2-3r+4

7 0
3 years ago
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