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vagabundo [1.1K]
2 years ago
7

Solve the equation by clearing the decimals: 0.8x -0.3 = 0.7x + 0.2

Mathematics
1 answer:
Mashutka [201]2 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

0.8x - 0.3 - 0.7x = 0.2

0.8x - 0.7x = 0.2 + 0.3

0.1x = 0.2 + 0.3

0.1x = 0.5

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Work out 3/5 of 900
Mars2501 [29]

Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x

900=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

3 0
3 years ago
Rewrite the product as a power:<br> <img src="https://tex.z-dn.net/?f=%28-a%29%5E%7B3%7D%20b%5E%7B3%7D" id="TexFormula1" title="
anastassius [24]

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{ - a}^{3} . {b}^{3}  = ( { - a \times b})^{3}  = ( { - ab})^{3}  \\

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4 0
2 years ago
A microwave cost 200 plus 20% VAT what is the total price ​
iris [78.8K]

Answer:

Total price = 240

Step-by-step explanation:

a microwave cost = 200

20% of 200 = 20/100 x 200 = 40

total price ​= 200 plus 20% VAT = 200 + 40 = 240

7 0
2 years ago
Consider the incomplete paragraph proof.
Leya [2.2K]

The hypotenuse is c = a\sqrt{2}  times the length of each leg 'a'. Triangle XYZ is a isosceles right triangle, therefore the Pythagoras theorem becomes  and this can be evaluated by using properties of isosceles triangle.

According to the statement

we have given that a theorem and we have to prove it.

So, For this purpose,

The given information is :

Isosceles triangle XYZ where Angle X = 45^{0} Angle Y = 45^{0} Angle Z = 90^{0}

Let the sides of triangle XYZ be a, b, and c. Then side XY = c, YZ = b and ZX = a.

Now, it is given that triangle XYZ is isosceles triangle therefore, the shorter sides must be equal that is, a = b.

Now use Pythagoras theorem

a^{2} + b^{2} = c^{2}

But here a= b then the equation become

a^{2} + a^{2} = c^{2}

Then after solving it become

2a^{2} = c^{2}

And here we have to find the value of the hypotenuse,

so we solve it for c.

Then

c = a\sqrt{2}

From this it is clear that the

it can be concluded that the hypotenuse is  times the length of each leg 'a'.

Learn more about Pythagoras theorem here

brainly.com/question/343682

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5 0
1 year ago
The perimeter of the rectangle is 146 units. What is the length of the longCharlene puts together two isosceles triangles so tha
Minchanka [31]

Answer:

21 inches.

Step-by-step explanation:

From the question, we are given the following parameters or data or information: The legs of the triangles are 10 inches and 17 inches, perimeter of the rectangle is 146 units and length of the base for both triangles is 16 inches long.

Step one: the first step to do in this question is to determine or Calculate the value for the height of the smaller triangle.

Thus, 10^2 = (16/2)^2 + (b1)^2.

b1 = √ (100 - 64) = √ 36 = 6.

Step two: the second step to do in this question is to determine or Calculate the value for the height of the bigger triangle.

17^2 = (16/2)^2 + (b2)^2.

b2 = √ (289 - 64) = √ 225 = 15.

Step three: this is the lat step and it involves the addition of our values in step one and two above, that is;

6 + 15 = 21.

Thus, length of the kite’s other diagonal = 21 inches.

5 0
2 years ago
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