Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
Answer:
y = x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
- 3x + 4y = 16 ( add 3x to both sides )
4y = 3x + 16 ( divide all terms by 4 )
y = x + 4 ← in slope- intercept form
If we imagine it in our head, we can see that the width (base) is 2 and the height is 9
the area is 1/2bh or 1/2*2=9 square units
it is rotated around x axis
meaning we have a sideways cone that is 2 hight and radius is 9
Vcone=1/3(hpir^2)
h=2
r=9
V=(1/3)(2)(3.141592)(9^2)
V=(2/3)(3.141592)(81)
V=(54)(3.141592)
V=169.6459
round
V=169.6 cubic units
base is 2 units
height is 9 units
area is 9 square units
it's a cone (sideways)
it has a volume of 169.6 cubic units
<span>When you do a division problem and the quotient (answer) ends up being with a number that just keeps repeating say like when you divide </span>
<span /><span>20 ÷ 9 = 2.22222222222</span>
<span /><span>In this case you don't have to write all these 2s, you just put a line on top of the second 2 after the decimal to show that it repeating. </span><span> </span>
<span> _
2.22 </span>
<span>That line is a repeating bar.</span>
<span>Hope this helps. :)</span>
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