A zoo has 40 emperor penguins . if 30% of them are male , how many are male

Mathematics

1 answer:

drek231 [11]2 years ago

3 0

Answer:

12 of them are male.

Step-by-step explanation:

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y is directly proportional to x^3. it is known that =5 for a particular value of x. find the value of y when this value of y whe

alina1380 [7]

Answer:

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

Step-by-step explanation:

According to the statement, we have the following relationship:

$y = k\cdot x^{3}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$k$ - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

$\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}$

If we know that $y_{1} = y$ , $y_{2} = 5$ , $x_{2} = x_{o}$ and $x_{1} = \frac{1}{2}\cdot x_{o}$ , then the value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is:

$\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}$

$\frac{5}{y} = 8$

$y = \frac{5}{8}$

The value of $y$ when the value of $x$ is multiplied by $\frac{1}{2}$ is $\frac{5}{8}$ .

5 0

2 years ago

Please answer this correctly please

Phantasy [73]

If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!

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3 years ago

Solve & Explain your Math thinking 12-7

Tom [10]

For this case we have the following subtraction:

$12-7$