Ratios and fractions are interchangeable (for the most part). A fraction is a type of ratio. And we've all worked with fractions before, so that's what we'll do here.
I can say that the ratio 3:1 is the same as the fraction 3 / 1. Using that fraction, it is fairly easy to find equivalent fractions.
3 / 1 = 6 / 2 = 9 / 3 = 30 / 10
...And so on
Another example, 5:6 = 5 / 6.
5 / 6 = 10 / 12 = 15 / 18 = 30 / 36
To find equivalent fractions, all you need to do is multiply both the numerator and denominator by the same number. As long as that number is the same (and your multiplication is correct), then the new fraction will be equivalent to the original.
Hope this helps!
Answer:
There is no values of x that make the equation true.
Step-by-step explanation:
I might be wrong but I found no solutions for this.
X=y+3
<span>-5x-4y=<span>30
-------------------
Substitute y + 3 for x in </span></span>-5x-4y=30
<span><span>-5<span>(y+3)-</span></span>4y</span>=<span>30
</span>-9y-15=<span>30
</span>----------------------------
Add 15 to each side
<span><span>-9y-15</span>+15</span>=<span>30+<span>15
-9y = 45
</span></span>-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-<span><span>5</span>+<span>3
</span></span>x = -2
----------------------
(-2,-5) is your answer
I honestly don’t know but I hope you find the answer to this question soon and have a good night good luck
Answer:
36 units²
Step-by-step explanation:
rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
we use the inverse formula
12 * 3 =<em> </em>
<em>36 units²</em>
<em>-----------------------</em>
check
36 : 12 = 3
the answer is good