janelle came to the bat 262 times in 91 games. at this rate, how many times should she expect to have at bat in full season of 162 games?

Answer:

[tex]y=\frac{9\sqrt{3} }{2}[/tex] or 7.79     x= 9/2 or 4.5

explanation:

This is a special right triangle; a 90-60-30 triangle.

The side labelled y = a, side labelled x is equal to [tex]a\sqrt{3}[/tex], and the hypotenuse equals 2a.

First solve for a. [tex]9\sqrt{3}=2a[/tex]  [tex]a=\frac{9\sqrt{3} }{2} =y[/tex] and that gives you y.

Then use a to find x. [tex]a\sqrt{3} =x[/tex] so [tex]\frac{9\sqrt{3} }{2} *\sqrt{3} = 9/2=4.5[/tex]

Solution:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer:

(a) [tex]Perimeter = 32.2\ cm[/tex]

(b) 100

Step-by-step explanation:

Solving (a):

Given

Shape: Rectangle

[tex]Area = 64.8[/tex]

Required

Calculate the perimeter.

Area is calculated as:

[tex]Area = L * W[/tex]

Where

[tex]L = Length[/tex] and [tex]W = Width[/tex]

Substitute 64.8 for Area

[tex]64.8 = L * W[/tex]

Make L the subject:

[tex]L = \frac{64.8}{W}[/tex]

Perimeter is calculated as:

[tex]P = 2 * (L + W)[/tex]

Substitute 64.8/W for L

[tex]P = 2 * (\frac{64.8}{W} + W)[/tex]

[tex]P = \frac{129.6}{W} + 2W[/tex]

To solve further, we take the derivative of P and set it to 0, afterwards.

[tex]dP = -\frac{129.6}{W^2} + 2[/tex]

Set to 0

[tex]0 = -\frac{129.6}{W^2} + 2[/tex]

Collect Like Terms

[tex]\frac{129.6}{W^2} = 2[/tex]

Cross Multiply:

[tex]2W^2= 129.6[/tex]

Divide through by 2

[tex]W^2 = 64.8[/tex]

Take square roots

[tex]W = \sqrt{64.8[/tex]

[tex]W = 8.05[/tex]

Recall that:

[tex]L = \frac{64.8}{W}[/tex]

So:

[tex]L= \frac{64.8}{8.05}\\[/tex]

[tex]L= 8.05[/tex]

The perimeter is:

[tex]Perimeter = 2 * (8.05 + 8.05)[/tex]

[tex]Perimeter = 2 * (16.10)[/tex]

[tex]Perimeter = 32.2\ cm[/tex]

Solving (b):

Given

((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)

Required

Solve

[tex]Tenths = \frac{1}{10}[/tex]

So, the expression becomes:

((1 Group of [tex]10 * \frac{1}{10}[/tex]) and (1 group of [tex]8 * \frac{1}{10}[/tex]))/(6 groups of [tex]3 * \frac{1}{10}[/tex])

This gives:

((1 Group of [tex]\frac{10}{10}[/tex]) and (1 group of [tex]\frac{8}{10}[/tex]))/(6 groups of [tex]\frac{3}{10}[/tex])

Group means product, so the expression becomes:

[tex]\frac{(1 * \frac{10}{10} \ and\ 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]

And, as used here means addition

[tex]\frac{(1 * \frac{10}{10} + 1 * \frac{8}{10})}{6 * \frac{3}{10}}[/tex]

Simplify:

[tex]\frac{(1 * 1 + 1 * 0.80)}{6 *0.30}[/tex]

[tex]\frac{(1 + 0.80)}{1.80}[/tex]

[tex]\frac{1.80}{1.80}[/tex]

[tex]= 1.00[/tex]

Answer:

C. y=3x + 1

Step-by-step explanation:

Answer:

The correct answer is,

[tex]x = 18[/tex]

Answer:

x = 18

Step-by-step explanation:

So first you want to get rid of the fractions, which are 1/2 and 1/3. To do this you can multiply both sides of the equation by 6, so you would get:

3x - 42 = 2(x - 12).

Next, on the right side of the equation you can distribute the 2.

3x - 42 = 2x - 24

You want to get all the x variables on one side so you can subtract 2x from both sides.

x - 42 = -24

And finally you add 42 to both sides

x = 18

Total hats = 52 + 13 = 65

Percentage that are baseball = number of baseball/ total hats x 100.

52/65 = 0.8 x 100 = 80%

80% are baseball hats

Answer: 80%

Step-by-step explanation:

First, you would add 52 and 13 together. That would be 65. Then you would divide 52 by 65. The answer is 0.8. That is equal to 80%.

Answer:

Find the solution below

Step-by-step explanation:

A) Let the complete power of the phone be 1

If after charging 1/3 of an hour, a phone is at 2/5 of its full power, we can write;

1/3 hr = 2/5 of its full power

To determine the time it will take to phone to charge completely, we will say;

x hr = 1

Divide both expression

(1/3)/x = 2/5

1/3x = 2/5

Cross multiply

1 * 5  = 3x * 2

5 = 6x

x = 6/5

x  = 1.2

Hence it will take 1.2 hour for the phone to charge completely

B) From the expression in A

1/3x = 2/5

Multiply both sides by 3

1/3x * 3= 2/5 * 3

x = 2/5 * 3

Hence the multiplication equation is x = 2/5 * 3

Also divide both sides by 1/3

recall 1/3x = 2/5

1/3x ÷ 1/3 = 2/5÷1/3

x = 2/5÷1/3

Hence the division equation is x = 2/5÷1/3

Answer:

Not a function

Step-by-step explanation:

because it's not a straight line

Answer:

IT IS A FUNCTION

Step-by-step explanation: did test

Answer:

y=-5/2*X-3

Step-by-step explanation:

A system has no solutions the lines are parallel

Answer:

B. Two pairs of opposite sides are congruent

Step-by-step explanation:

This is one of the rules of identifying a parallelogram, and the other ones are false.

9514 1404 393

Answer:

  2 hours

Step-by-step explanation:

Mrs. Sanders cleans 1/3 of the windows per hour. Her daughter cleans 1/6 of the windows per hour. Working together, they clean 1/3 +1/6 = 1/2 of the windows per hour.

It will take them 2 hours to finish when they work together.

Answer:

8 ft

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4ft X 8ft= 32ft

Answer:

737 miles

Step-by-step explanation:

So we know that he drove 871 miles in 13 hours so first you want to do 871 divided by 13 and get 67 which means he drove 67 miles in one hour.  Finally you just have to multiply 67 by 11 and get 737.

Answer:

737 miles

Step-by-step explanation:

Since the distance is gonna be less it's gonna be..

11 x 871/ 13

Answer:

Y intercept: -3

X intercept: 1.5

Step-by-step explanation:

Find the y intercept by setting x equal to 0 and solving for y:

y + 5 = 2(x + 1)

y + 5 = 2(0 + 1)

y + 5 = 2(1)

y + 5 = 2

y = -3

Find the x intercept by setting y equal to 0 and solving for x:

y + 5 = 2(x + 1)

0 + 5 = 2(x + 1)

5 = 2(x + 1)

5 = 2x + 2

3 = 2x

1.5 = x

So, the y intercept is -3 and the x intercept is 1.5

The chart relating to the question can be found in the picture attached below :

Answer:

40%

Step-by-step explanation:

Yoghurt __________ No of responses

Low Fat ___________ 15

Greek_____________24

Whipped __________ 10

Regular ___________ 11

Total number of responses :

(15 + 24 + 10 + 11) = 60

Number of  responses for Greek yogurts = 24

Percentage % :

(Greek Yoghurt responses / total responses) * 100%

= (24 / 60) * 100%

= 0.4 * 100%

= 40%

Answer:

x= 8

Step-by-step explanation:

9514 1404 393

Answer:

  C

Step-by-step explanation:

The problem statement tells you that cost is a function of x minutes. We plot the independent variable (x) on the horizontal axis, so this statement tells you the horizontal axis will be labeled "Minutes." (matches A and C)

When x=0 (no minutes), the function value is ...

  c(0) = 3·0 +2 = 2

For each additional minute, the cost goes up by 3, so we know these things about the line:

The graph of A has a y-intercept of 3, so is incorrect. It also has a slope of 2, so is incorrect on that basis, as well.

The graph of C is the correct choice.

Answer:

James scored 87.5% in the test.

Step-by-step explanation:

7 x 100 : 8 = 87.5%

Answer:

x=26

Step-by-step explanation:

2x+3x+50=180   add like terms

5x+50=180   subtract both sides by 50

5x=130   divide both sides by 5

x=26

Answer:

x = 26

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 3x + 50 = 180

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Answer:

the slope is -2

Step-by-step explanation:

When using rise over run you must divide the Y (in this case it's 2) by the X (which is 1), and in this problem 2 divided by 1 equals 2, but it's a negative line because it's going down which means your answer is -2

Answer:

u^2+4u-12

Step-by-step explanation:

u x u + 6u -2u - 2 x 6

Answer:

...........the new price is 22.50

Answer:

B

Step-by-step explanation:

It's just B

Answer:

-1, -1, be parallel, and "the same slope"?

Step-by-step explanation:

the last one is iffy but I believe its somewhere around that

Hi all

Answer:

I had this question on my MAP testing just today, and I answered with

C. Choosing a certain book does not affect the choice of a pear,

D. Choosing a certain pear does not affect the choice of a book.

These are the answers I think are correct.

Answer:

-3/2

Step-by-step explanation:

y = - 3/2x + 3

y = mx + b

slope = m

Hope this Helps!!!