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Mathematics

1 answer:

evablogger [386]3 years ago

7 0

Answer:

D) 5/12

Step-by-step explanation:

Suppose there are 30 girls at the school. Then the proportions tell you that 12 of them study music, and 5 of them study both music and dance.

Then 5 of the 12 girls who study music also study dance. That fraction is 5/12.

_____

We chose 30 because it is the least common multiple of the denominators of the fractions (2/5, 3/5, 1/6) in the problem statement.

Of course, you know that 2/5·30 = 12, and 1/6·30 = 5.

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The function LaTeX: f\left(x\right)=2\cdot5^xf ( x ) = 2 ⋅ 5 x can be used to represent an exponential growth curve. Which of th

masha68 [24]

Answer:

(2,20)

Step-by-step explanation:

The given function is

$f(x) = 2 \cdot \: {5}^{x}$

To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;

For the first point we substitute x=3 and f(x)=250

$250= 2 \cdot \: {5}^{3} \: \\ 250 = 2 \times 125 \\ 250 = 250$

This is true.

For the second point (2,20), we put x=2 and y=20 to get:

$20= 2 \cdot \: {5}^{2} \\ 20 = 2 \times 25 \\ 20 = 50$

This is false, hence (2,20) does not lie on this curve.

For (1,10), we have:

$10= 2 \cdot \: {5}^{1} \\ 10 = 10$

This is also true

Finally for (2,50), we have;

$50= 2 \cdot \: {5}^{2} \\ 50 = 2 \times 25 \\ 50 = 50$

This is also true.

4 0

3 years ago

Tell whether the given value is a solution of the inequality

kipiarov [429]

Answer:

Yes it is, because...

Step-by-step explanation:

This is an inequality, so you can treat it as an algebraic expression.

The first step is to multiple both sides by 2, to get rid of the 2 on the left side.
Your equation will now look like this:
y >= 2y - 22

The next step is to get all the y variables to one side, now that its a lot more simplified. Subtract 2y from both sides to get:
-y >= -22

Finally, cancel out the negative on both sides of the equation to get the y as a positive y, all by itself. This will get you:
y <= 22

REMINDER: when you divide by a negative number, such as in this case dividing by -1 on both sides, the inequality sign will flip!

y = 18 works because it is less than 22. (: