The average vertical jump for a player on the high school basketball team is 30 inches. The actual height varies by
at most 2 inches. Write and inequality that gives the range of the actual height h (in inches) of the players' verticals.

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Answer:

  1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

  2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

  A: 72 -40 = 32

  B: 48 -28 = 20

  composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

__

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

  84n = 1260000

  n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

__

(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...

  294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

__

Contribution margins per unit are ...

  H: 6 -4 = 2

  C: 8 -6 = 2

  I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

  3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47

Answer:

A. True

Step-by-step explanation:

Two triangles that have two of their sides equal, as well as the angle between them also equal, are congruent

Answer:

ITS FALSE

Step-by-step explanation:

I DID IT

Step-by-step explanation:

Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]

= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]

According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]

In other words,  [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].

Please mark my answers as the Brainliest if you find my explanations helpful :)

The graph would look like the picture above.

Rise 3, Run 1

Answer:

3.2 × 10²

im not really good at this but hope it helps.

Answer:

D) Squares, rectangles, rhombuses and trapezoids are quadrilaterals

A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.

The distance of the miles can be estimated by using the formula:

distance = speed rate × time

∴

[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]

Let the current speed be = x

In the upstream direction;

in the downstream direction;

∴

[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]

By cross multiply;

8 (4 + x) = 12 (4 - x)

32 + 8x = 48 - 12x

8x + 12x = 48 - 32

20x = 16

x = 16/20

x = 4/5 mile per hour

Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.

Learn more about speed here:

https://brainly.com/question/22610586?referrer=searchResults

Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

9514 1404 393

Answer:

  2 liters

Step-by-step explanation:

The applicable proportion can be written ...

   amount/percentage = 1260 mL/63% = x/100%

  2000 mL = x = 2 liters

The full carton held 2 liters of milk.

Answer:

183

Step-by-step explanation:

If they are two consecutive odd numbers, than these two numbers will be close to half of the sum (364).

364/2=182

Now Find the two odd numbers in between 182, which are 181 and 183.

I had this type of question a few times recently, and this method worked every time :).

Bonus information:

For two consecutive odd/even numbers, find the half of the sum.

For three consecutive odd/even numbers, start off by finding the third of the sum. And so on...

Hope this helped! :D

Answer:

The correct answer is [tex]2 *10^3 ; 2,000[/tex]

Picture to text form: 2 x 10^3 ; 2000

Step-by-step explanation:

The answer you chose is incorrect.

Answer: It would be 2* 10^3; 2000

Step-by-step explanation:

Divide the total number of students in the state by the number of students in the school.

806240 / 400 = 2015.6

The closest number would be 2000, written as 2* 10^3.

Answer:

3, 4 , 5 , 6 is your answer.

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER....

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=−3/7

Decimal Form:

x=−0.¯¯¯¯¯¯¯¯¯¯¯428571

Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Answer:

x=135/13

Step-by-step explanation:

9/13 × 15 = x

9 × 15/13 = x

135/13 = x

x = 135/13

I hope this helps :)

Answer:

How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

(A)

The equation:

(B)

Solve for x:

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Answer:

  3x +4

Step-by-step explanation:

Polynomial long division is done the same way numerical long division is done.

The next quotient term is found by dividing the highest-degree dividend term by the highest-degree divisor term. The result is the exact quotient term. There is no need to go back and make an adjustment as there sometimes is with numerical long division.

Once you have the quotient term, you multiply that by the divisor and subtract from the dividend. This is the same procedure as is used with numerical long division. The difference is the new dividend, and the process repeats.

When the dividend is lower-degree than the divisor, that dividend is the remainder. For this division, the remainder is zero, so the quotient has no fractional part.

__

Both the quotient and the divisor can have any degree and any number of terms. It is useful to write both so all powers of the variable are accounted for, using 0 as a coefficient where necessary. This helps keep things straight when you're multiplying and subtracting. As you know, only "like" terms (terms of the same degree) can be combined by addition or subtraction.

Answer:

64 i[tex]n^2\\[/tex]

Step-by-step explanation:

ok so first the shape is a square which means all sides are the same length so

8*8 = 64

Have a nice day! :-)

Answer:

Marta can arrange a maximum of 3 plates.

Solution:

Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.

She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.  

We have to find what is the greatest number of plates she can make to share?

Now, let the number of brownies per each plate be n.

Then, number of plates used =  

Here, n is number of brownies per plate and  is number of cookies per plate.

So, both n and  should be whole numbers. Then, for  to be whole number 6n must be an multiple of 5.

And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.

So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15

In order to arrange in more plates we have to take less count in single plate. Then, n = 5.

Now, number of plates  

Hence, Marta can arrange a maximum of 3 plates.

Answer:

d.13/24

Step-by-step explanation:

Answer:

how are we ment to know

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

Answer:

I know I'm late to answer this but its 10 [tex]\frac{5}{6}[/tex] I hope this helps :D

Step-by-step explanation:

Answer:

2k-²

Step-by-step explanation:

i hope this is the answer ur looking for !

Answer:

so here tje answer is

50 / 10 = -k

so the value of k = 5

Answer:

it would be B, it goes x axis to y axis

Explanation:

Start where the x and y axis meet. This is the origin.

Move to the left 3 units. You'll be directly under point H.

Then move 3 units up to arrive at point H.

Moving to the left 3 means x = -3. Moving up 3 means y = 3.

Together we have the location (x,y) = (-3,3)

You can think of the x,y location as if it was an address on a map or longitude/latitude coordinates.

Answer:

3457

Step-by-step explanation:670