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Darina [25.2K]
3 years ago
11

5)

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

We want to solve an equation, so we only need to use simple algebra.

The solution is: x = 3

The original equation is:

0.2*(15*x - 20) = 0.5*(16 - 2*x)

To solve this, we need to move all the terms with "x" to the same side, so first we need to expand.

0.2*15*x - 0.2*20 = 0.5*16 - 0.5*2*x

We can move all the terms with x to the left side, and the others to the right side:

0.2*15*x + 0.5*2*x = 0.5*16 + 0.2*20

3*x + 1*x = 12

4*x = 12

Now we can divide both sides by 4:

x = 12/4 = 3

x = 3

If you want to learn more, you can read:

brainly.com/question/24531705

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side
tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

8 0
3 years ago
PLS HELP ASAP
loris [4]
The percent of change is 73.33 percent
4 0
3 years ago
:
Gre4nikov [31]

Answer:

$6.75

Step-by-step explanation:

15% of 45 = $6.75

5 0
3 years ago
a student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Write an equation for his relationship. Let
dem82 [27]

Answer:

f(x) = ($23/week)(x)

Step-by-step explanation:

Hello!

Let's determine the unit rate.  I'd suggest finding the cost per week, rather than the weeks covered by a certain amount of money.

Then:

$115

-------- = $23 per week

Then the amount spent as a function of the # of weeks would be:

f(x) = ($23/week)(x)

5 wk

4 0
3 years ago
Um. 100 points to who answers this LOL
Scorpion4ik [409]
Sheesh .........................................
5 0
3 years ago
Read 2 more answers
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