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11111nata11111 [884]
1 year ago
12

PROM Caleb manages the budget for his school's junior prom. His class has spent $1250 for the prom venue, $625 for a DJ, and $14

70 for
decorations. They will also serve dinner before the dance, which costs $12 per student. If he wants to keep the cost of prom tickets less than
$20, how many students will need to buy tickets?
Mathematics
1 answer:
Bogdan [553]1 year ago
5 0

The number of students that will need to buy the tickets is 419.

<h3>How many students will need to buy tickets?</h3>

The equation that can be formed from the information provided in the question is:

$20s < $1250 + $625 + $1470 + $12s

Where s represents the number of students

$20s < $3345 + $12s

$20 - $12s < $3345

$8s < $3345

s < $3345  / $8

s < 419

To learn more about inequality, please check: brainly.com/question/5031619

#SPJ1

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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
Algebra 2 question, please help!
yKpoI14uk [10]
Let the leading term of the polynomial, f(x), be axⁿ.

Examine the possibilities.
     n      a      x -> - ∞     x -> +∞
-------   ----     -----------  ------------
even   a>0    f -> +∞     f -> +∞   Not true
even   a<0    f-> - ∞      f-> -∞    True
odd     a>0    f-> -∞      f-> +∞    Not true
odd     a<0    f-> +∞     f-> -∞     Not true

Answer:
(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.

8 0
2 years ago
Read 2 more answers
Seven times the difference of x and 4 is -10
4vir4ik [10]

Answer:

In this equation x = 2

Step-by-step explanation:

First, it is easiest to convert these words to numbers. That would make it

4 - <em>x  </em>· 7 = -10

First subtract 4 from both sides.

4 - <em>x</em> · 7 - 4 = - 10 - 4

Then you simplify.

-<em>x ·</em> 7 = -14

Divide both sides by 7.

\frac{-x(7)}{-7} = \frac{-14}{-7}


Then you simplify that fraction to 2 and thats how you get your answer.



7 0
3 years ago
Please help asap! thx
vovikov84 [41]

Answer:

y = 0

Step-by-step explanation:

The given sinusoidal equation is y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right)

The general form of the sin function is presented as follows;

y = A·sin(B·(x - C)) + D

Where;

A = The amplitude

The period, T = 2·π/B

The frequency, f = B/2·π

C = The horizontal shift

D = The vertical shift

By comparison with the given sine function, we have;

The amplitude, A = 2

The frequency, f = B/2·π = π/2/(2·π) = 1/4

The frequency, f = 1/4 Hz

C = The horizontal shift = 3/(π/2) = 6/π

The vertical shift, D = 0

Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, y = 2 \cdot sin \left(\dfrac{\pi}{2} \cdot x + 3 \right), is therefore, the line;

y = 0.

3 0
2 years ago
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the t
puteri [66]

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

4 0
2 years ago
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