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Keith_Richards [23]
3 years ago
15

The ages of Alan, Beth, and Caleb Henley are consecutive integers with a sum of 48. Alan is the youngest, and Caleb is the oldes

t. Drag the phrases and expressions to complete the verbal statement and algebraic equation where a represents Alan's age.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0
Alan is 15. Beth is 16 and Caleb is 17
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A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 5 hits in her
timama [110]

Answer:

The highest possible average is 348

Step-by-step explanation:

we know that

No more than 60 means -----> maximum 60 ( less than or equal to 60)

To find the possible average using proportion

Remember that the average is the number of hits in 1,000 times at bat

If the average is 300 with maximum 60 times at bat

then

The number of hits is 60*300/1,000=18  hits

If the player gets 5 hits in her next 6 times at bat

then

In 66 times at bat the number of hits is 18+5=23 hits

Find out the average

Let

x ----> the average

\frac{66}{23}=\frac{1,000}{x}\\\\x=23*1,000/66\\\\x=348

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3 years ago
472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. a
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Step-by-step explanation:

472-120=352 sleep in a cabin

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A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center
deff fn [24]

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

(\dfrac{a+c}{2},\dfrac{b+d}{2}) .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})

Comparing both coordinate :

\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23

and

\dfrac{y-10}{2}=0\\\\y=10

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

3 0
3 years ago
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Answer:

distributive proper

Step-by-step explanation:

mulitiply

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