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lina2011 [118]
1 year ago
10

A baseball team played 32 games and lost 8. Katy was the catcher in of the winning games and of the losing games. In how many ga

mes did Katy play catcher?
Mathematics
1 answer:
aalyn [17]1 year ago
7 0

Answer:

In all 32 games Katy played catcher.

Step-by-step explanation:

<u>total number of games played + 32</u>

<u>number of losing games = 8</u>

To find the number of games won by the baseball team, we will subtract <em>8</em> (no. of games lost) from <em>32</em> (no. of total games played):

32 - 8 = <u>24 (no. of winning games)</u>

<u />

As, <em>Katy</em> was catcher in both winning and losing games;

winning games + losing games = total games in which Katy was catcher

24 + 8 = 32

<em>So, Katy was catcher in all the 32 games the baseball team played!</em>

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At a store, apples cost $0.80 $0.80 each and oranges cost $0.95 $0.95 each. Harry buys some apples and oranges and spends $9.55
gregori [183]

Answer:

Harry buys 6 apples and 5 oranges at the store.

Step-by-step explanation:

Given:

Cost of each apples = $0.8

Cost of each oranges = $0.95

Total money spend =$9.55

Number of fruits bought= 11

We need to find the number of apples bought and number of oranges were bought.

Solution:

Let the number of apples bought be 'a'.

Let the number of oranges were bought be 'o'.

Number of fruits bought= 11

So we can say that;

Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.

framing in equation form we get;

a+o=11 ⇒ equation 1

Now we can say that;

Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.

framing in equation form we get;

0.8a+0.95o=9.55 ⇒ equation 2

Now Multiplying equation 1 by 0.8 we get;

0.8(a+o)=0.8\times11

0.8a+0.8o=8.8 ⇒ equation 3

Subtracting equation 3 from equation 2 we get;

0.8a+0.95o-(0.8a+0.8o)=9.55-8.8\\\\0.8a+0.95o-0.8a-0.8o=0.75\\\\0.15o=0.75

Dividing both side by 0.15 we get;

\frac{0.15o}{0.15}=\frac{0.75}{0.15}\\\\o=5

Substituting the value of o in equation 1 we get;

a+o=11\\\\a+5=11\\\\a=11-5=6

Hence Harry buys 6 apples and 5 oranges at the store.

3 0
3 years ago
How would you know if two vectors are perpendicular?
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