Dan bought five new baseball trading cards to add to his collection .The next day his dog ate half of his collection .There are now only twenty nine cards left .How many cards did Dan start with?with equation and result

Answers

Answer 1

Answer:
-- After dog ate 1/2 of the collection, there were 29 remaining.

-- Just before dog came along, there were (2 x 29) = 58 cards.

-- That was after Dan added 5 new ones.

-- Before he added the 5 new ones, there were (58 - 5) = 53 cards.

-- When this story began, Dan had 53 cards.

Answer 2

Answer:

first you double 29

than subtract the 5 new cards

29 x 2 - 5

58-5

your answer is 53

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A restaurant employed 465 people. There are 280 waiters and 185 cooks.if 168 waiters and 85 cooks receive pay raises, what percent of the waiters will receive a pay raise?

Answers

60% of the waiters will receive a pay raise if 168 waiters and 85 cooks receive pay raises.

To find the percentage of waiters who will receive a pay raise, we need to determine how many waiters are receiving pay raises and then calculate the percentage.

Currently, the restaurant has 280 waiters and 185 cooks. If 168 waiters and 85 cooks receive pay raises, the number of waiters getting a pay raise would be 168.

Now, let's calculate the percentage of waiters receiving a pay raise:

Percentage of waiters receiving a pay raise = (Number of waiters receiving a pay raise / Total number of waiters) × 100

Percentage of waiters receiving a pay raise = (168 / 280) × 100

Percentage of waiters receiving a pay raise = 0.6 × 100

Percentage of waiters receiving a pay raise = 60%

So, 60% of the waiters will receive a pay raise.

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First off, get rid of the useless information about the cooks. 168 out of 280 waiters receive a pay raise. It can be written like this: 168/280. This is seen as a division problem. 168 divided by 280= 0.6. To make it a percent, we move the decimal point over two places making it 60%.

Consider the parts of the word percent. Why do you think a number out of 100 is called a percent?

Answers

because a number out of 100 is a fraction, when reduced down is referred to as a percent.

you can drive 512 miles on a tank of gas if you have a 16 gallon tank how many miles can you drive on one gallon of gas

Answers

512 miles/ 16 gallons= 32 miles per gallon, so you can drive 32 miles

Sofia learned 10 recipes to create party dishes. She learned these recipes in two weeks. How many recipes can Sofia learn in 5 weeks ?

Answers

If she learned 10 in two weeks, that means she learns an average of 5 per week, that means in 5 weeks all you have to do is multiply by 5, the answer is 25 recipes.

10 recipes/2 weeks = 5 recipes/1 week
x recipes/5 weeks Multiply, answer is
25 recipes.

1. The velocity "v" in feet per second of a freely falling object that has fallen h feet can be represented by v = 8h^1/2. Find the distance that an object has fallen if its velocity is 96 feet per second.2. The relationship of the current, the power, and the resistance in an appliance can be modeled by IR^1/2 = √P, where I is the current in amperes, P is the power in watts, and R is the resistance in ohms. Find the power that an appliance is using if the current is 2.5 amps and the resistance is 16 ohms.

In your answer, please explain and show your work to the best of your ability. I want to know how you got your answer. It will help me a lot! :)

Note: These questions are from 7-3 Practice: Rational Exponents from Glencoe Algebra 1.

Good luck! :)

Answers

We isolate the variables that we wish the values determined in the given problems above.

(1) To solve for h, we manipulate the variable such that it becomes,
h = √(v / 8)
Substituting the given,
h = √ (96 / 8) = √12 ft

(2) To solve for P in this problem, we raise both sides of the equation to exponent 2,
P = I²R
Substituting,
P = (2.5 amps)² x (16 ohms)
P = 100 watts

Final answer:

To find the distance fallen, substitute the given velocity into the equation and solve for h. To find the power being used, substitute the given current and resistance into the equation and solve for P.

Explanation:

1. To find the distance that an object has fallen if its velocity is 96 feet per second, we need to use the given equation v = 8h^(1/2). We'll substitute 96 for v in the equation and solve for h:

96 = 8h^(1/2)

To isolate h, we'll divide both sides of the equation by 8:

12 = h^(1/2)

To get rid of the exponent, we'll square both sides of the equation:

144 = h

Therefore, the object has fallen a distance of 144 feet.

2. The equation IR^(1/2) = √P represents the relationship between current (I), power (P), and resistance (R). We're given that I = 2.5 amps and R = 16 ohms. We'll substitute these values into the equation and solve for P:

(2.5)(16)^(1/2) = √P

(2.5)(4) = √P

10 = √P

To isolate P, we'll square both sides of the equation:

100 = P

Therefore, the appliance is using 100 watts of power.

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Please help! And get it right I hope!

Answers

1. 56
2. 10
3. 16
4. 2
5. 12

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Rob and Mike are on a club swimming team.They are training for a statewide swimming meet that will be held in the end of summer. The table shows how many hours Rob and Mike spent at practice each weekpractice time (in hours). | Swimmer|weekly|Monday-Friday|Rob. | 35. | 25 Mike. | 30. | 20 Question: write a possible expression to show how many hours Rob and Mike spend at swim practice over a period of 10 weekends . include parentheses and brackets in your expression.Please help and thank you