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3 years ago

6. At a game, there were 24 adults and 10 children. Keeping the same ratio,

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer:

The total number of adults will be: 120 adults

Step-by-step explanation:

Given that there were 24 adults and 10 children in a game.

Thus, adults to children ration = 24:10 or 24/10

If there were 50 children, how many adults would be at the game?

Let 'x' be the number of adults when there 50 children.

so the ration of adults 'x' to 50 childern = x: 50 or x / 50

As the ratio is the same.

Thus,

24 : 10 = x : 50

24/10 = x/50

switching sides

x/50 = 24/10

x = 24/10 × 50

x = 120 adults

Therefore, the total number of adults will be: 120 adults

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What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

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3 years ago

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$\boxed{d-4$

<h2>Explanation:</h2>

Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:

<em>A number d minus 4 is less than -1</em>

<em />

So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.

Step 1. A number d minus 4.

This statement includes the word "minus", so we need to use the symbol (-). Therefore:

$d-4$

Step 2. A number d minus 4 is less than

As we said above, here we need to use the symbol (<). So:

$d-4$

Step 3. A number d minus 4 is less than -1

Finally, we get:

$d-4$

<h2>Learn more:</h2>

Inequalities: brainly.com/question/9611462

#LearnWithBrainly

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3 years ago

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garri49 [273]

First, you want to solve for the equation for this problem, would be:
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Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
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<span>0.05(164) + 0.10(123) = 20.50
</span><span>8.2 + 12.3 = 20.50
</span>20.50 = 20.50
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<em>I hope this helps! </em>

<em>~ Notorious Sovereign</em>

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