Answer:
4 ohms
Step-by-step explanation:
The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"
Current, I₁ = 5 A
Heat, Q₁ = 1200 units
Resistance, R₁ = 8 ohms
Time, t₁ = 2 min = 120 s
New heat, Q₂ = 6000 units
Current, I₂ = 10 A
New time, t₂ = 5 min = 300 s
We need to find the new resistance.
Heat developed is given by :
So, the new resistance is 4 ohms.
Alright, so let's make both 7/8 and 3/10 into fractions with the same denominator.
The lowest common denominator for both of these is 80.
So, we multiply the top and bottom of 7/8 by 10, and the top and bottom of 3/10 by 8 to get fractions we can compare.
So, we have 70/80 of a candy bar, and we want to make servings of 24/80 each.
How many times can 24 go into 70? 2 times, with a remainder of 22.
So, Tony can make 2 servings.
Answer:
S' (-6, 6)
T' (2, 6)
U' (2, 0)
V' (-6, 0)
Step-by-step explanation:
To reflect the rectangle over the x-axis, think of it as flipping it over the x-axis. On the graph, count the units from V to S, it's 6 units. So, from the x-axis, count 6 units up from V. S would lie on -6, 6. Do the same for W to T. T would lie on (2, 6). The remaining coordinates U and V don't change because it is <em>already </em>on the x-axis. <em> </em>
Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
