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zhuklara [117]
3 years ago
12

Together, teammates Pedro and Ricky got 2681 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each p

layer have
Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:

Ricky had 1199 hits.

Pedro had 1482 hits.

Step-by-step explanation:

<u>State your variables</u>

let "p" be the number of Pedro's base hits

let "r" be the number of Ricky's base hits

<u>Create equations</u> using information from the problem

p + r = 2681         [1]

p = r + 283          [2]

<u>Substitute equation [2] in equation [1]</u> replacing 'p'

p + r = 2681

r + 283 + r = 2681

<u>Combine like terms</u> to simplify

2r + 283 = 2681

<u>Isolate '"r"</u> to solve for Ricky's base hits.

2r + 283 - 283 = 2681 - 283            Subtract 283 on both sides

2r = 2398        

2r/2 = 2398/2               Divide both sides by 2

r = 1199              Number of Ricky's hits

Substitute r = 1199 into any equation to find "p". I will use [2].

p = r + 283

p = 1199 + 283         Add

p = 1482              Number of Pedro's hits

Therefore Ricky had 1199 hits and Pedro had 1482 hits.

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Kobotan [32]

Answer:

2\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{125} = \sqrt{25(5)} = \sqrt{25} × \sqrt{5} = 5\sqrt{5}

\sqrt{180} = \sqrt{36(5)} = \sqrt{36} × \sqrt{5} = 6\sqrt{5}

\sqrt{45} = \sqrt{9(5)} = \sqrt{9} × \sqrt{5} = 3\sqrt{5}

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3 years ago
I really Need help solving this problem!
Paraphin [41]

Answer:

Hello,

Answer A : 11.2 ≤ X ≤ 29.2

Step-by-step explanation:

Z=\dfrac{X-20.2}{4.5} \\\\X=4.5*Z+20.2\\\\For\ Z=-2,  \ X=4.5*(-2)+20.2=11.2\\For\ Z=2,  \ X=4.5*2+20.2=29.2\\

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2 years ago
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Vika [28.1K]

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2,4

Step-by-step explanation:

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What are the zeros of the function below? F(x)= (x-1)(x+1)/6(x-4)(x+7)
Lisa [10]

Answer:

+1 and -1

Step-by-step explanation:

The function in this problem is:

f(x)=\frac{(x-1)(x+1)}{6(x-4)(x+7)}

First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.

In order to find the domain, we have to require that the denominator is different from zero, so

6(x-4)(x+7)\neq 0

which means:

x\neq 4\\x\neq -7

So the domain is all values of x, except from 4 and -7.

Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:

(x-1)(x+1)=0

This is verified if either one of the two factors is equal to zero, therefore:

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x+1 = 0\\\rightarrow x=-1

We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.

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