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mariarad [96]
3 years ago
5

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

next 6 times at bat. What is the highest possible average she could now have?
Mathematics
1 answer:
timama [110]3 years ago
6 0

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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A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank. 15 yd, 12yd,
slavikrds [6]

Answer:

1440 yd³

1200 yd³

Step-by-step explanation:

A local aquarium purchased a new turtle tank for their giant turtle exhibit  for their giant turtle exhibit.

By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid

We can determine volume by using the formula i.e

V = (Length) × (Width) × (Height),

then the volume of the tank will be

V = 15 × 12 × 8 =

V=1440 yd³.

Now , by using dimensions 15 yd by 8 yd by 10 yd

The volume will be,

V = 15 × 8 × 10 = 1200yd³

6 0
3 years ago
The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim
Charra [1.4K]

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

7 0
3 years ago
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840
Elza [17]

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

<h3>What is an equation?</h3>

An equationi is an expression that shows the relationship between two or more variables and number.

Given that the total number of people who ate lunch is 840, hence:

The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Twice a number plus 6 times the number is -72.
katen-ka-za [31]

Answer:

The number is -9

Look at the attachment

7 0
3 years ago
Can someone please help!!!
RideAnS [48]

Answers:

  • System 1:  x = 3 and y = -5
  • System 2: x = 1 and y = 2

==========================================================

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

  • The x terms subtract to 7x-x = 6x
  • The y terms subtract to 0 and go away
  • The right hand sides subtract to 11 minus (-7) = 11-(-7) = 11+7 = 18

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

----------------------------

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}

Now we have the same situation as before: Subtract straight down, solve for x.

  • The x terms subtract to 7x-(-2x) = 7x+2x = 9x
  • The y terms go away when subtracting
  • The right hand sides subtract to 11-2 = 9

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

6 0
2 years ago
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