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masya89 [10]
3 years ago
13

Simplify the following problem using the distributive

Mathematics
1 answer:
telo118 [61]3 years ago
6 0
2x + 3y + 2(x - y) -3x =\\\\=2x + 3y + 2 x - 2y -3x=\\\\=x+y


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A number of two digits is increased by 54 when the digits are reversed. The ten digits is three times the unit digit. Find the n
bija089 [108]

Let <em>n</em> be the unknown number. We can write it as

<em>n</em> = 10<em>a</em> + <em>b</em>

with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).

Reversing the digits gives another number

<em>m</em> = 10<em>b</em> + <em>a</em>

The first number is increased by 54 when the digits are reversed, which means

<em>m</em> = <em>n</em> + 54   →   10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54   →   9<em>b</em> - 9<em>a</em> = 54   →   <em>b</em> - <em>a</em> = 6

The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so

<em>a</em> = 3<em>b</em>

Substitute this into the previous equation and solve for <em>b</em> :

<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6   →   <em>b</em> = -3

Solve for <em>a</em> :

<em>a</em> = 3<em>b</em> = 3(-3) = -9

Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93

3 0
3 years ago
Read 2 more answers
What number is equivalent to: 4 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000 + 8 x 100 + 7 x 1?
valina [46]

Answer:

4,005,090,807

Step-by-step explanation:

4 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000 + 8 x 100 + 7 x 1

4 * 1,000,000,000 = 4,000,000,000

5 * 1,000,000 = 5,000,000

9 * 10,000 = 90,000

8 * 100 = 800

7 * 1 = 7

Add it all together and you get 4,005,090,807

I hope this helped. Sorry if you get this wrong.

5 0
3 years ago
.A candle maker purchased packaging boxes to ship cylindrical candles to customers. The boxes measure 6 in. by 6 in. by 10 in. T
harina [27]
If you meant a thickness of 1/2 inch. . .
Because the inserts are put on all the sides, the dimensions of the usable space are 5 X 5 X 9.  This means the diameter of the base is 5.  The radius is half the diameter, so we divide 5 by 2 to get the radius.  5/2 = 2.5.  Now, we plug in the radius and the height (9) into the formula for the volume of a cylinder, which is volume= \pi  r^{2} h

v= \pi  2.5^{2} *9=176.6 inches^{3}

So, D is correct.
6 0
3 years ago
I'll give brainliest to whoever answers this question first with correct steps that I can understand
Kazeer [188]

Answer:

You multiply 64 and 4 or 32 by 8 and both should equal 256 grams .-.

Step-by-step explanation:

3 0
3 years ago
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Two less than the sum of twice a number and forty
DiKsa [7]

Answer: 2-(2x+40) or (2x+40)-2

Step-by-step explanation: If you wanted to solve the problem, you have to do the stuff in the parentheses before you do the stuff out of the parentheses. In the parentheses, you will have to solve 2x before you do anything else. When you solve 2x, the answer to that, add it to 40. Then the answer in the parentheses, subtract it by 2 and you can get the answer.

6 0
3 years ago
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