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Alborosie
3 years ago
11

Solve the equation 3x-4=8-x

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

x=3

Step-by-step explanation:

<em>3</em><em>x</em><em>-</em><em>4</em><em>=</em><em>8</em><em>-</em><em>x</em><em>(</em><em>Group</em><em> </em><em>like</em><em> </em><em>terms</em><em>)</em>

<em>3</em><em>x</em><em>+</em><em>x</em><em>=</em><em>8</em><em>+</em><em>4</em><em>(</em><em>Add</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

<em>4</em><em>x</em><em>=</em><em>1</em><em>2</em><em>(</em><em>After</em><em> </em><em>adding</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>proceed </em><em>to</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em><em>)</em>

<em>x</em><em>=</em><em>3</em><em>(</em><em>x</em><em> </em><em>is</em><em> </em><em>3</em><em> </em><em>because</em><em> </em><em>4</em><em> </em><em>can</em><em> </em><em>divide</em><em> </em><em>1</em><em>2</em><em> </em><em>3</em><em> </em><em>times</em><em> </em><em>that's</em><em> </em><em>why</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>x</em><em> </em><em>as</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>3</em><em>)</em>

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The local public pool is a rectangle with two semicircles.
Reptile [31]

The area of the surface of the pool is 7322.64 m².

<h3>What is Area of rectangle?</h3>

The area of rectangle is product of length and its breadth.

i.e., length * breadth

Given: Length = 100 m, Width = 52 m and Diameter = 52 m

Area of rectangle,

= 100 × 52

= 5200 m²

Now,

Area of semicircle = 1/2 × πr²

=1/2 × 3.14 × 26²

= 1061.32 m²

Hence, area of the surface of the pool is

= 1061.32 + 1061.32 + 5200

= 7322.64 m²

Learn more about this concept here:

brainly.com/question/15461609

#SPJ1

8 0
2 years ago
The measure of two supplementary angles are x+10 and 2x-5. Find the values of x and then find the angles
astra-53 [7]

Answer:

  68 1/3, 111 2/3

Step-by-step explanation:

The sum of two supplementary angles is 180°, so ...

  (x +10) +(2x -5) = 180

  3x +5 = 180 . . . . . collect terms

  x +5/3 = 60 . . . . . divide by 3

  x = 58 1/3 . . . . . . . subtract 5/3

The first angle is ...

  x +10 = 58 1/3 +10 = 68 1/3

The second angle is ...

  2x -5 = 2(58 1/3) -5 = 116 2/3 -5 = 111 2/3

The angles measure 68 1/3 and 111 2/3.

6 0
3 years ago
Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
vivado [14]

Answer:

Step-by-step explanation:

A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.  

4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

8 0
3 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.​
Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

                                          = 150\times \frac{4}{5}

                                          = £120

Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

7 0
3 years ago
$1, 000 after 2 years at an interest rate of 3.0% is $ round up to the nearest cent
BaLLatris [955]
This may be a simple interest computation.

Simple Interest = Principal * interest rate * term

Principal = 1,000
interest rate = 3%
term = 2 years

Simple Interest = 1,000 * 0.03 * 2
Simple Interest = 60

Total Amount after 2 years: 1,000 + 60 = 1,060


5 0
3 years ago
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