I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.
PROPORTIONS:
Draw it out.
5/7 = either c/6, or b/5.
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!
Answer:
Step-by-step explanation:
7(p-6)=8p-34
Distribute 7 into the parentheses on the Left Hand Side of the equation
7p-42=8p-34
get p together, so minus 7p on both sides
7p-7p-42=8p-7p-34
7p and -7p cancel out on L.H.S
-42=p-34
isolate p by adding 34 to both sides
-42+34=p-34+34
-34 and postitive 34 cancel out on the R.H.S
p=-8
Hope this helps! :)
<span>1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
Formula: Heat = mass * specific heat * ΔT
Data:
mass = 50 g = 0.050 kg
specific heat of iron = 450 J/ kg °C
ΔT = 124°C - 10°C ¿ 114 °C
=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J
2. If a refrigerator is a heat pump that follows the first law of
thermodynamics, how much heat was removed from food inside of the
refrigerator if it released 492J of energy to the room? Joules
The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room
=> Answer = 492 J
3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules
Formula: heat = mass * specific heat * ΔT
specific heat of water = 4186 J / Kg °C
heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
</span>
Answer:
50000y^9.
Step-by-step explanation:
(2y)^4 * (5y)^5
= 2^4 y^4 * 5^5 y^5
= 16y^4 * 3125y^5
= 50000y^9.
-2 + 3b = 5b - 2(2b + 3) Distribute the -2 through the parentheses.
-2 + 3b = 5b - 4b - 6 Combine like terms
-2 + 3b = b - 6 Bring all "b's" to one side of the equation
-2 + 3b - b = b - b - 6 Combine like terms
-2 + 2b = -6 Bring the 2 to the right side of the equation
-2 + 2 + 2b = -6 + 2 Combine like terms
2b = -4 Isolate b by dividing both sides by 2
b = -4/2 = -2
Answer b = -2
