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3 years ago

Write an appropriate inverse variation equation if y = 5 when x = 3

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

5*3=k, k=15

Step-by-step explanation:

y=k/x is the inverse variation equation

5=k/3

k=15

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If an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island, how many penguins and

Ugo [173]

Answer:

The number of penguins on the island is 17 and the number of bears on the island is 4.

Step-by-step explanation:

We are given that an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island.

Let the number of penguins on the island be 'x' and the number of bears on the island be 'y'.

Also, we know that bears and penguins both have one head, and the bear has 4 feet and the penguin has 2 feet.

<u>So, according to the question;</u>

The first condition states that there are 21 heads, that means;

x + y = 21

x = 21 - y ---------------- [equation 1]

The second condition states that there are 50 feet on the island, that means;

2x + 4y = 50

x + 2y = 25

21 - y + 2y = 25 {from equation 1}

y = 25 - 21

y = 4

Now, putting the value of y in equation 1, we get;

x = 21 - y

x = 21 - 4 = 17

Hence, the number of penguins on the island is 17 and the number of bears on the island is 4.

4 0

4 years ago

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

Lady bird [3.3K]

Answer:

The answer is: $\frac{x^2-5}{4x+1}$

Step-by-step explanation:

We are given: $f(x)=4x+1$ and $g(x) = x^2-5$

We need to find $(g/f)(x)$ .

Simply divide $g(x)$ and $f(x)\\$ .

Which equates to:

$(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}$

This cannot be simplified further, so it is the answer.

3 0

4 years ago

28 minutes before 11?

Feliz [49]

Hello there!

28 minutes before 11 would be 10:32 since 11:00 - :28 equals 10:32.

4 0

3 years ago

Read 2 more answers

Jacob buys 5 packs of muffins. He uses a coupon and saves $1 off the total.

jolli1 [7]

The answer is D. 5m-1

3 0

2 years ago

Read 2 more answers

Who knows how to do this

Ivan

Area by Heron's formula:
semiperimeter = (15 + 20 + 25)/2 = 60/2 = 30 cm
$
Area = \sqrt{30(30-15)(30-20)(30-25)}= \sqrt{30 \cdot5\cdot10\cdot15}= \\\\ {} \ \ \ \ \ \ =\sqrt{22500} =150 \ cm^2$

The formula of the area of a triangle: Area = 1/2 * base * height
1/2 * 25 * height = 150
12.5 * height = 150
height = 150/12.5
height = 12 cm

3 0

3 years ago