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 n by getting rid of the constant terms and simplify the equation.
Adding 12 to both sides of the equation, we have:
2n - 12 + 12 = -16 + 12
2n = -4
Dividing both sides of the equation by 2, we get:
n = -4/2
n = -2
Therefore, the solution to the equation 2n - 12 = -16 is n = -2.
2. Let p be the number of slices of pizza bought.
Since each slice of pizza costs $3.20 and you spent a total of $10.60 including the drink, the total cost of the pizza alone is 10.60 - 1 = $9.60.
We can write the equation:
3.20p = 9.60
Dividing both sides of the equation by 3.20, we have:
p = 9.60/3.20
p = 3
Hence, you bought 3 slices of pizza.
3. Let d be the number of days.
The equation relating the weight of the calf to the number of days can be written as:
150 + 2d = 224
Subtracting 150 from both sides of the equation, we have:
2d = 224 - 150
2d = 74
Dividing both sides of the equation by 2, we get:
d = 74/2
d = 37
Therefore, it will take 37 days for the calf to reach a weight of 224 pounds.
4. To solve Rita's sticker problem, we can use the following arithmetic operations:
- Rita initially has a certain number of stickers.
- She gives half of them to her friend, so we divide the number of stickers by 2.
- Her brother gives her 8 stickers, so we add 8.
- She ends up with 12 stickers, so the final equation is:
(initial number of stickers) / 2 + 8 = 12
We can solve this equation by subtracting 8 from both sides of the equation and then multiplying both sides by 2.
5. The first step in solving the equation 2.4n - 6.4 = -14.8 is to isolate the variable term, which in this case is 2.4n.
So we need to get rid of the constant term (-6.4) on the same side of the equation as the variable term.
By adding 6.4 to both sides of the equation, we have:
2.4n - 6.4 + 6.4 = -14.8 + 6.4
Simplifying, we get:
2.4n = -8.4
The next step would be to divide both sides of the equation by 2.4 to solve for n.