1.Solve the equation 2n - 12 = -16
2.Slice of pizza is $3.20 and a drink is $1. You spent $10.60. Write and solve an equation using “p” number of slices of pizza you bought.
3.Baby calf weighs 150 pounds at birth and gains 2 lbs each day. How many days to get to 224lbs? Write and solve and equation using “d” days for how old he is at 224 pounds.
4.Rita has stickers. She gave half of them to her friend but her brother gave her 8. She ends up with 12 stickers. What arithmetic operations are used to solve this?
5.What is first step in solving this equation? 2.4n - 6.4 = -14.8
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1. To solve the equation 2n - 12 = -16, we need to isolate the variable "n" on one side of the equation. We can do this by adding 12 to both sides:
2n - 12 + 12 = -16 + 12
2n = -4
Next, we divide both sides by 2 to solve for "n":
2n/2 = -4/2
n = -2
Therefore, the solution to the equation is n = -2.
2. Let p represent the number of slices of pizza you bought. The cost of 1 slice of pizza is $3.20, so the total cost of "p" slices of pizza would be 3.20p. Additionally, you bought a drink for $1. The total amount you spent is $10.60. Therefore, we can write the equation as:
3.20p + 1 = 10.60
To solve for "p", we subtract 1 from both sides:
3.20p = 10.60 - 1
3.20p = 9.60
Next, we divide both sides by 3.20 to solve for "p":
p = 9.60/3.20
p = 3
Therefore, you bought 3 slices of pizza.
3. Let d represent the number of days the baby calf is old when it weighs 224 pounds. At birth, it weighs 150 pounds, and it gains 2 pounds every day. We can set up the equation:
150 + 2d = 224
To solve for "d", we subtract 150 from both sides:
2d = 224 - 150
2d = 74
Next, we divide both sides by 2 to solve for "d":
d = 74/2
d = 37
Therefore, it would take 37 days for the baby calf to reach 224 pounds.
4. To solve the problem of Rita giving half of her stickers to her friend and her brother giving her 8 more stickers, we can use arithmetic operations as follows:
Let S be the initial number of stickers Rita had.
Rita gave half of her stickers to her friend: S/2
Her brother gave her 8 more stickers: S/2 + 8
After these transactions, she ended up with 12 stickers. Therefore, we can write the equation:
S/2 + 8 = 12
To solve for "S", we subtract 8 from both sides:
S/2 = 12 - 8
S/2 = 4
Next, we multiply both sides by 2 to solve for "S":
S = 4 * 2
S = 8
Therefore, Rita initially had 8 stickers.
5. The first step in solving the equation 2.4n - 6.4 = -14.8 would be to isolate the variable "n" by adding 6.4 to both sides:
2.4n - 6.4 + 6.4 = -14.8 + 6.4
2.4n = -8.4
Next, we divide both sides by 2.4 to solve for "n":
2.4n/2.4 = -8.4/2.4
n = -3.5
Therefore, the solution to the equation is n = -3.5.