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sattari [20]
3 years ago
13

What is 0.1x = 0.2(x+2)

Mathematics
2 answers:
krek1111 [17]3 years ago
8 0
0.1x=0.2(x+2)\ \ \ |mltiply\ both\ sides\ by\ 10\\\\10\cdot0.1x=10\cdot0.2(x+2)\\\\1x=2(x+2)\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\x=(2)(x)+(2)(2)\\\\x=2x+4\ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\x-2x=2x-2x+4\\\\-x=4\ \ \ \ |change\ signs\\\huge\boxed{x=-4}

check\\subtitute\ the\ value\ of\ x\ to\ the\ equation:\\L_s=0.1\cdot(-4)=-0.4\\R_s=0.2(-4+2)=0.2(-2)=-0.4\\\\L_s=R_s\ \ \ |correct\ :)
Paladinen [302]3 years ago
7 0
0.1x = 0.2(x + 2)

First, divide both sides by 0.1 / Your problem should look like: x = 2(x + 2)
Second, expand. / Your problem should look like: x = 2x + 4
Third, subtract 2x from both sides. / Your problem should look like: x - 2x = 4
Fourth, simplify x - 2x to -x. / Your problem should look like: -x = 4
Fifth, multiply both sides by -1. / Your problem should look like: x = -4

Answer: x = -4

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A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nicke
OLga [1]

Answer:

73 dimes and 133 nickels

Step-by-step explanation:

$13.95 = 1395 cents

5n + 10d = 1395     (since each nickel is 5 cents and each dime is 10 cents)

5n = 1395 - 10d      (subtract 10d from both sides to solve for n)

n = 279 - 2d

n + d = 206

279 - 2d + d = 206   (substitute n with the previous expression)

279 - d = 206         (add variable d and -2d)

-d = -73        (solve for d and divide both sides by negative 1)

d = 73          

n + 73 = 206 (solve for n and subtract both sides by 73)  

n = 133

6 0
3 years ago
Simplify the following expression.
Allushta [10]

Answer:

I got C.)5

Step-by-step explanation:

5 0
3 years ago
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Maurinko [17]

Answer:

1: 5.83

2: 4.12

3: 3.61

4: 5

5: 6.32

6: 5.10

Step-by-step explanation:

The Pythagorean theorem is a^2 + b^2 = c^2

For all of these you can count the number of blocks over to find two sides of the triangle.

For example: the first one has two sides, one is 3 units, the other is 5. To find the missing angle you square 3 and 5, then add that together. That is equal to 34. 34 = c^2. To get the c by itself, you then take the square root of 34. So the missing side (c) is equal to 5.83.

8 0
2 years ago
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grandymaker [24]

Answer:

The answer is the first one and the last one.

Step-by-step explanation:

If an account cost $1 and each song is 1.5x. It has to be less than or equal to 25. So it would be $1 for (the account plus) 1.5x for (how many songs he buys) is less than or equal to 25 (the ammount on the gift card).

8 0
3 years ago
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andrey2020 [161]

Answer:

4.3 pages

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7 0
2 years ago
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