A garden is in the shape of a rectangle and has a perimeter of 58 yards. The length of the garden is 5 more than twice the width. Find the dimensions of the garden.

Answers

Answer 1

Answer: Let the width be w
Length= 2w+5
Perimeter= 2(length+width)
58=2(2w+w+5)
58=2(3w+5)
3w+5=29
3w=24
Width=8yards
Length=2(8)+5
=21yards

Answer 2

Answer: p= sum of the sides = 2l+2wopposite sides are the samex=width2x+5= length2x+ 2(2x+5)=58remove( )2x+ 4x+10=58combine like terms6x+10= 58subtract 10 from both sides6x=48divide by 6x=8 width2 x 8+5= 21 lengthhope this helps

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4. You have a deck of 40 number cards: five of each number 2 to 9. You shuffle the deck, pick a card, look at it, return it to the deck, and then repeat for a second card. Determine each theoretical probability. a) sum is 12 b) difference is less than 5 c) product is odd

Answers

To determine the theoretical probabilities, we'll analyze the different possible outcomes for each case.

Total number of cards = 40 (5 cards for each number from 2 to 9)

a) Sum is 12:

There are several combinations of cards that can result in a sum of 12:

3 and 9
4 and 8
5 and 7
7 and 5
8 and 4
9 and 3

Total favorable outcomes = 6 (since there are 6 possible combinations)

Total possible outcomes (since you're drawing two cards) = 40 * 40 = 1600

Probability (sum is 12) = (Number of favorable outcomes) / (Total possible outcomes)

Probability (sum is 12) = 6 / 1600 = 0.00375

b) Difference is less than 5:

There are several combinations of cards that can result in a difference less than 5:

2 and 3
3 and 2
3 and 4
4 and 3
4 and 5
5 and 4
5 and 6
6 and 5
6 and 7
7 and 6
7 and 8
8 and 7
8 and 9
9 and 8

Total favorable outcomes = 14

Total possible outcomes = 1600

Probability (difference is less than 5) = 14 / 1600 = 0.00875

c) Product is odd:

For the product to be odd, one or both of the numbers drawn must be odd. Since there are five odd numbers (3, 5, 7, 7, 9), and each number has five cards, the total number of favorable outcomes is 5 + 5 + 5 + 5 + 5 = 25.

Total possible outcomes = 1600

Probability (product is odd) = 25 / 1600 = 0.015625

To summarize:

a) Probability (sum is 12) ≈ 0.00375
b) Probability (difference is less than 5) ≈ 0.00875
c) Probability (product is odd) ≈ 0.015625

For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

Answers

Answer:

The equation is 1/2c + 1 = 6

The answer to this equation is 10.

Step-by-step explanation:

Anderson earns $1 more, so you would put '+1' in the equation. Since it says 'half of Carey's hourly rate', you would put 1/2c in the equation. $6 is the total, so that would go on the other side of the equation, thus creating the final equation 1/2c + 1 =6.

Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
Carey earns $10 hourly

Yesterday, 58 of the 72 students in a contest gave their speeches. How many students gave their speeches? Write your answer in simplest form.

Answers

so 58 out of 72
therefor
58/72
divide both by 2
58/2=29
72/2=36

29/36
29 is prime so that is simplest form
29/36 is answer

Lets express this as a fraction in simplest form.

58/72

divide

58/2 = 29
72/2 = 36

29/36 (cannot be simplified further)

Answer: 29/36

$4 per pound to cents per ounce

Answers

Step-by-step explanation:

4$ is equal to 400 cents, so it would be 400 cents a pound, for every 1 dollar it is the same as 100 cents

Answer:

400

Step-by-step explanation:

How do you write the standard number 0.000068 in scientific notation?6.8 × 10-4
6.8 × 10-5
6.8 × 10-7
6.8 × 10-6

Answers

6.8 * 1--5 or also known as the second answer.

120% of it is 24. What is the number

Answers

Answer:

Step-by-step explanation:

1.2x = 24

x = 20

Answer:

Step-by-step explanation:

1.2x = 24

x = 20

Step-by-step explanation:

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