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allsm [11]
3 years ago
7

john rain 6 1/2 miles. ben ran half the distance that john ran. sara ran a total of 4.75 miles. what was the total distance comb

ined of all three runners ?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0
So John ran 6 1/2. Ben ran half of that, so he had ran 3 1/4 and Sarah ran 4.75 miles. Add those up and you get 14.5
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In circle O, ST is a diameter.
Andreas93 [3]

The value of x must be 25.0. The correct option is the second option-  25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

Learn more Solving linear equations here: brainly.com/question/1413277

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8 0
3 years ago
Read 2 more answers
There are 16 kids on a soccer team. The players are either boys or girls, and they either prefer playing offense or defense. The
Mariana [72]

Answer:

P(B|A)=\frac{2}{7}

Step-by-step explanation:

The probability of P(B|A) can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since P(B|A) stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence P(B|A)=\boxed{\frac{2}{7}}.

<u>Alternative:</u>

For dependent events A and B, the conditional probability of event B occurring given A is given by:

P(B|A)=P(B\cap A)\div P(A)

P(B\cap A) indicates the intersection of P(B) and P(A). In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense, P(B\cap A)=\frac{2}{16}=\frac{1}{8}. The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence P(A)=\frac{7}{16}.

Therefore, the probability of event B occurring, given event A occurred, is equal to:

P(B|A)=\frac{1}{8}\div \frac{7}{16},\\\\P(B|A)=\frac{1}{8}\cdot \frac{16}{7}=\boxed{\frac{2}{7}}

5 0
3 years ago
What is the volume of the triangular prism?
frozen [14]
The volume of a triangular prism equation is 
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6 0
3 years ago
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What else would need to be congruent to show that ABC= DEF by ASA?
babunello [35]

Answer:

Option A

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Opt.C is already given

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5 0
3 years ago
What is the length to the nearest tenth, of the line segment joining the points (-4,2) and (146,52)
Vlad1618 [11]
Finding the distance between (-4,2) and (146,52)

Use the distance formula<span> to determine the </span>distance<span> between the two </span>points<span>.
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</span></span>Substitute the actual values of the points<span> into the </span>distance formula<span>.
</span>√<span>((146)−(−4)<span>)^2</span>+((52)−(2)<span>)^2

</span></span>Simplify the expression<span>.
</span>√19400<span>

</span>Rewrite 19400<span> as </span><span><span><span>10^2</span>⋅194</span>.
</span>√10^<span>2⋅194
</span>
Pull terms<span> out from under the </span>radical<span>.
</span>10√<span>194

</span>The approximate<span> value for the </span>distance<span> between the two </span>points<span> is </span><span>139.28389.
</span>
10√<span>194≈139.28389</span>
7 0
3 years ago
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