Hey there! This is gonna actually be surprisingly simple even though it looks confusing!
Since the scale is perfectly balanced (it's completely flat because the weights are equal) you can use an = sign.
There are 3 cubes which weigh 9 ounces so 3 times 9 is 27 so on the left side you can put down a 27. Then there are 7 circles so so 7x can represent this. So that belongs on the left side as well SO for the left sides we can write this
27 + 7x = _______
Now for the right side. There are 5 cubes so 5 times 9 ounces is 45 so that belongs on the left. And then there is one cube so we can just right x. SO for the right side (combined with the other parts we know looks like this.
27 + 7x = 45 + x
NOW for the solving!
<span>27 + 7x = 45 + x
</span>subtract x from both sides
27 + 6x = 45
subtract 27 from both sides
6x = 18
then divide 6 from both sides
x = 3
So the circles are 3 ounces!!!!
I hope that helps! And feel free to ask me any questions!!
- mathwizzard3
Answer:
<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>
Step-by-step explanation:
Given that Kate begins solving the equation
<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
When she adds 2 to both sides, the equation becomes
Therefore 
<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
Answer:
Mutually exclusive is a statistical term describing two or more events that cannot coincide. It is commonly used to describe a situation where the occurrence of one outcome supersedes the other
Step-by-step explanation:
:)
Answer:
18x+63
Step-by-step explanation:
First you've to simplfy it, multiply the first bracket by 5 and the second by 4.
= (5)(2x)+(5)(7) + (4)(2x)+(4)(7)
= 10x+35+8x+28
Combine Like Terms:
= 10x+35+8x+28
= (10x+8x)+(35+28)
= 18x+63
1) Proportion a.
7 : 28 = 2 : 8
That means that the ratio 7 / 28 is equal to the ratio 2 : 8.
You can verify the equality by simplifying to the simplest form:
7 : 28 = 1 / 4 simplest form
2 : 8 = 1 / 4 simplest form, then the proportion is right.
In words that is 7 is to 28 as 1 is to 4 ← answer
2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span> 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span> 9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span> 2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>
In words: 81 is to 9 as 45 is to 5 ← answer
Proove it:
81 / 9 = 9
45 / 9 = 9
