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Mariulka [41]
4 years ago
8

Solve for x. 25x-6=24+5x

Mathematics
2 answers:
Aneli [31]4 years ago
5 0
Solve for x:
25 x - 6 = 5 x + 24

Subtract 5 x from both sides:
(25 x - 5 x) - 6 = (5 x - 5 x) + 24

25 x - 5 x = 20 x:
20 x - 6 = (5 x - 5 x) + 24

5 x - 5 x = 0:
20 x - 6 = 24

Add 6 to both sides:
20 x + (6 - 6) = 6 + 24

6 - 6 = 0:
20 x = 24 + 6

24 + 6 = 30:
20 x = 30

Divide both sides of 20 x = 30 by 20:
(20 x)/20 = 30/20

20/20 = 1:
x = 30/20

The gcd of 30 and 20 is 10, so 30/20 = (10×3)/(10×2) = 10/10×3/2 = 3/2:

Answer: x = 3/2
lianna [129]4 years ago
3 0
25x - 6 = 24 + 5x
First we collect terms
20x = 30
Now we divide by 20
x = 30/20
x = 1.5
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Answer:

4.  35 times larger

Step-by-step explanation:

<em>Doing Question #4 Only</em>

<em />

4.

Before we see this problem's solution. Lets get a background.

Suppose something has an area of "A" sq. meters.

and

Suppose another land has an area of "B" sq. meters.

and suppose A > B

If we want to know how many times A is larger than B, we simply have to divide the larger one (A) by the smaller one (B).

Now, onto our question:

We want to know how many times larger the national is than state park. So we divide the area of national by the area of state. That would be:

\frac{7*10^8}{2*10^7}

<em>Since the numbers are in scientific notation, we look at the rule below on how to divide scientific notation numbers:</em>

<em>\frac{a*10^b}{c*10^d}=(\frac{a}{c})*10^{b-d}</em>

<em />

<em>Now, we apply the rule:</em>

<em>\frac{7*10^8}{2*10^7}\\=\frac{7}{2}*10^{8-7}\\=3.5*10^1\\=3.5*10\\=35</em>

<em />

So, the national park is 35 times larger than the state park.

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