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liq [111]
3 years ago
9

Dakota wants to beat the record for the most runs batted in in a baseball season. This season, he has 32 runs batted in. If he g

ets 2 runs batted in at each of the last 13 games, he will miss breaking the record by 3 runs. How many total runs are needed to break the record?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0

Answer:

29 runs are needed to break the record.

Step-by-step explanation:

He has 32 runs batted in.

If he gets 2 runs batted in at each of the last 13 games, he will have:

32 + 2*13 = 32 + 26 = 58

He will have 58 runs batted in.

He will miss the record by 3.

So the record is 61.

He has 32 and will need 61-32 = 29 runs to break the record.

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Solve for x:<br> 1 1/5x−2 1/3&lt;1/7x+1 1/2
Mashcka [7]

Answer: x

Step-by-step explanation:

1\frac{1}{5}x-2\frac{1}{3}

Add 2\frac{1}{3} on both sides and subtract \frac{1}{7}x on both sides to leave x's on the left side and independent values on the right.

(2\frac{1}{3}-\frac{1}{7}x) +1\frac{1}{5}x-2\frac{1}{3}

1\frac{1}{5}x-\frac{1}{7}x

Solve the fractions.

1(\frac{1}{5}-\frac{1}{7})x

1(\frac{(1)(7)-(5)(1)}{(5)(7)} )x

1(\frac{7-5}{35} )x

1(\frac{2}{35} )x

1\frac{2}{35}x

Convert the mixed fraction 1\frac{2}{35} to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.

\frac{37}{35}x

Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.

(\frac{35}{37}) (\frac{37}{35})x

x

x

x

5 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each ty
eduard
Well obviously quarters equal 25 cents.  So you have to divide the 8.85 by 25 first.  That means he could have 35 quarters.  That least the rest as being dimes.  So find the remaining amount of the 8.85.  If you have 35 quarters that's $8.75.  And 8.85 minus 8.75 is 10 cents.  which would be 2 nickels.  That only adds up 37 coins.  So you break down one of the 25.  That would mean 5 more coins could be nickels.  Add 37 and 5 to get 42.   Do it again.  25 cents in nickels would be 5 more coins.  would be 46.  that would be missing 2 coins. But don't forget you're also subtracting from the 35 quarters. Now you would technically have 12 nickels and 33 quarters.  So you can do it one more time.  32 quarters means there is $8 in quarters at this point.

Now add you have 12 nickels, and you made 5 more.  That's 17 nickels.  That equals 85 cents.  So add 17 and 32 to be sure you have 49 coins, which you do. 


So 17 nickels, 32 quarters to equal 49 coins and $8.85

(sorry some of it got mixed up above because I was forgetting to subtract the quarters from the total as I changed them to nickels, so pay attention to the end)
8 0
3 years ago
What percentage is the fraction ‘2/4’ equal to ?<br> A. 30% <br> B. 20% <br> C. 50% <br> D. 40%
Solnce55 [7]

Answer: C.) 50%


Step-by-step explanation:

2/4 simplified = 1/2

1/2 = "one half"

= 50%

3 0
3 years ago
Read 2 more answers
Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)
goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16  is the required equation.

4 0
3 years ago
PLEASE HELP I’LL MARK BRAINLIEST
Anna35 [415]

the answer is c :) :)

7 0
3 years ago
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