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4 years ago

Joel has 24 trophies.Of the trophies, 1/8 are soccer. How many soccer trophies does Joel have?

2 answers:

7 0

3 trophies You divide the whole number (24) by the denominator (bottom number)and multiply it by the numerator ( top number) 24 divided by 8= 3 3 times 1= 3

fiasKO [112]4 years ago

4 0

You divide the whole number by the denominator and multiply by the numerator.

Hence, 24/8=3

3 x1=3

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The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

vekshin1

Answer:

125000 square feet

Step-by-step explanation:

Since there are only three sides of the rectangle, the perimeter of the fence is:

Let x and y be the sides of the rectangle, we are left with:

2 * x + y = 1000

solving for and:

y = 1000 - 2 * x

The area of the corral is:

A = x * y

replacing

A = x * (1000 - 2*x)

A = 1000 * x - 2*x^2

to find the maximum for the parabolic function A = 1000 * x - 2*x^2

The function has a maximum since the quotient before x ^ 2 is negative: -2 <0

Amax = c - b^2 /4*a

where a = -2, b = 1000, c = 0

A max = 0 - 1000^2/(4 * (- 2))

A max = 125000 ft^2

The maximum possible area of the pen is 125000 square feet.

4 0

4 years ago

A bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons. A balloon is drawn at random, what is the

tia_tia [17]

We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.

We need to find the probability of drawing a red balloon.

We know that probability is given by

$\\
\text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.

In order to find the total number of outcomes, we will add balloons of all colors.

Therefore, total outcomes are = $10+12+15+8 = 45$

We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.

$\\
\text{Probability =} \frac{\text{10}}{\text{45}} = \frac{2}{9}$

3 0

3 years ago

Read 2 more answers

Use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real constant.

jok3333 [9.3K]

Answer:

n!/(s-a)^(n+1)

Step-by-step explanation:

The answer can be resolved using the process in the attached approach.

And assuming s>2

8 0

3 years ago

List the markup and retail price of each item. Round to two decimal place when necessary.

Natasha_Volkova [10]

2. 2.70&20.70
3. 9.45&31.95
4. 25.31&59.00
5. 24.75&99.74
6. 48.60&97.20
7. 231.25&416.25

5 0

3 years ago

Read 2 more answers

Solve the literal equation for y.<br> 6x + 7zy = 15

Yuki888 [10]

Answer:

Step-by-step explanation:

6x + 7zy = 15

7zy = 15-6x

y = (15-6x)/7z

6 0

3 years ago