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NikAS [45]
3 years ago
12

Justify each step in solving the equation 6x = 3(x + 4) by writing a reason for each statement.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:


Step-by-step explanation:

6x = 3(x + 4) [Given]

6x = 3x + 12 [Distributive]

3x = 12 [Subtraction Property of Equality]

​x = 4 [Division Property of Equality]

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How to do this question plz answer my question ​
Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 45\cdot100=4500 m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula \pi r^2

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: 20\div2=10

Second circle's radius: 10\div2=5

Third circle's radius: 5\div2=2.5

Now let's find the area of each circle.

<em>First Circle</em>: \pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314

<em>Second Circle</em>: \pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5

<em>Third Circle:</em> \pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need 4087.875\div50=81.7575 bags.

Each bag costs £1.49, so the total cost is 81.7575\cdot1.49\approx121.82

Hope this helped!!

5 0
3 years ago
What is the spread of the data in the dot plot?
Igoryamba
I believe it would be A 0to 5
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4 years ago
Read 2 more answers
Please need help on this one
Nookie1986 [14]
The answer is 130°
Because it is a circle, the angles have to all add up to 360°. So if you add up the two known angles, and subtract that sum from 360, you will get 130°
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Answer:7

Step-by-step explanation:

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