Hi there,
1)
6 + (w - 10) = 5
6 + w - 10 = 5
- 4 + w = 5
w = 5 + 4
Hence, W = 9
2)
2/3 + y - 1/9 = 7/9
5/9 + y = 7/9
y= 7/9 - 5/9
Hence, Y = 2/9
4)
4x - 3/2x - 15/4 = 3/8
32x - 12x - 30 = 3
20x - 30 = 3
20x = 3 + 30
20x = 33
Hence, the answer is 33/20
5)
0.7(3s + 4) - 1.1s = 7.9
2.1s + 2.8 - 1.1 = 7.9
s + 2.8 = 7.9
s = 7.9 - 2.8
Hence, the answer is 5.1
Hope this all helps :)
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Answer:
27.8 Celsius
Step-by-step explanation:
The equation to convert Fahrenheit and Celsius is:
F = (9/5)C + 32
82 = (9/5)C + 32 -- subtract 32 from both sides
50 = (9/5)C -- multiply both sides by 5
250 = 9C -- divide by 9
27.777 = C
round up to 27.8 C
"14,494 rounded to the nearest ten-thousands" would be 10,000.
Because the value of the digit before the ten thousands place (4) is less than the value of 5, the digit in the ten-thousands position does not change.
Answer:
4.5
Step-by-step explanation:
First, get # of ounces in total:
24*3= 72
Then multiply: (0.0625 equals 1 ounce in pounds)
72* 0.0625= 4.5
Hope this helps!
