Answer:
32x-96
Step-by-step explanation:
8 · 4x = 32x
8 · 12 = 96
The circumference of the circle is 144.4 yards
Step-by-step explanation:
The circumference of a circle is C = 2πr, where
- r is the radius of the circle
- π is a constant ratio between the circumference of the circle and its diameter and its value is approximately 3.14
∵ The radius of a circle is 23 yards
- Use the rule above to find its circumference
∵ C = 2πr
∴ C = 2π(23)
∵ π ≅ 3.14
∴ C = 2(3.14)(23)
∴ C = 144.44 yards
- Round it to the nearest tenth
∴ C = 144.4 yards
The circumference of the circle is 144.4 yards
Learn more:
You can learn more about the circle in brainly.com/question/1952668
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1 divided by 4 is .25
Simple
Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32
× 8 = 256 
Now in the second scenario, pressure is unknown but we know the volume to be 60
Recalling; VP = K
P = K/V = 256
/60
= 4.27 pounds
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.