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3 years ago

8

Ogether, teammates pedro and ricky got 2675 base hits last season. pedro had 283 more hits than ricky. how many hits did each pl

ayer have?

1 answer:

kondor19780726 [428]3 years ago

7 0

Let Ricky = x; so equation: x + (x+283) = 2675 ; Re-arrange so x = Ricky = 1196 hits with Pedro 1196 + 283 = 1479.

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Allenville Theater sold 2,200 tickets to Shakespearean plays last season. This season, the theater sold 32% fewer tickets to Sha

rodikova [14]

Answer:

I believe the answer is 2,904 if i did it right.

Step-by-step explanation:

All you have to do is take the original number 2,200 and multiply it by .32 because you change the percent into a decimal by moving the decimal place twice. then add it back to 2,200.

2,200x.32+2,200=2.904

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3 years ago

If I add the square of a number<br> to the number itself, I get 30.<br> What could the number be?

Wittaler [7]

Answer:

I know you could easily solve this just looking at it.

But if you want the algebraic solution:

x + x^2 = 30

x^2 + x -30 = 0

a = 1

b = 1

c = -30

Using the quadratic formula:

x = [ -b +- sqr root (b^2 - 4ac) ] / 2a

x = [-1 +- sqr root (1 - 4 * 1 -30) ] / 2*1

x = [-1 +- sqr root (1 + 120) ] / 2

x = -1 +- sqr root (121) / 2

x1 = (-1 + 11) / 2 = 10 / 2 = 5

x2 = (-1 -11) / 2 = -12 / 2 = -6

Answers are 5 and -6

5 + 5^2 = 30

-6 + (-6)^2 = 30

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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Answer: Fraction of all eligible voters voted for Shelly is $\dfrac{3}{20}$ .

Morgan received the most votes .

Step-by-step explanation:

Given : The fraction of all eligible voters cast votes = $\dfrac{1}{2}$

The fraction of votes received by Shelly = $\dfrac{3}{10}$ (1)

Now, the fraction of all eligible voters voted for Shelly is given by :_

$\dfrac{3}{10}\times\dfrac{1}{2}=\dfrac{3}{20}$

Thus, the fraction of all eligible voters voted for Shelly is $\dfrac{3}{20}$ .

The fraction of vote received by Morgan= $\dfrac{5}{8}$ (2)

To compare the fractions given in (1) and (2), we need to find least common multiple of 10 and 8 .

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Now, make denominator 40 (to make equivalent fraction) in (1), (2) we get

Fraction of all eligible voters voted for Shelly = $\dfrac{3\times4}{10\times4}=\dfrac{12}{40}$

Fraction of all eligible voters voted for Morgan = $\dfrac{5\times5}{8\times5}=\dfrac{25}{40}$

Since, $\dfrac{25}{40}>\dfrac{12}{40}$ [By comparing numerators]

Therefore, Morgan received the most votes .

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3 years ago