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10 days ago

The cruise boat can carry up to 45 passengers. the company wants to know the minimum number of passengers needed per cruise to c

over its costs.this number is called the break-even point.a formula for calculating the break-even point is:break-even point = (fixed costs) ÷ (income per passenger – costs per passenger)the company collects the following data:based on this data (attached), what is the minimum number of passengers needed per cruise, so that the cruise company can be sure it will make a profit?

Mathematics

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Suppose your parents are traveling on a work-related trip for a whole week. They left you P10,000 as allowance for the week to b

zzz [12365]

Answer:

This is how the money should be divided:

Each of my two younger siblings receives P3,000.

I will take P4,000.

The reasoning for this allocation stems from the principle that the eldest and youngest siblings should not receive equal portions when dividing assets.

Step-by-step explanation:

This division approach is the only sensible method to distribute P10,000 among myself and my younger siblings while ensuring no fractions are involved, maintaining whole peso amounts. Any other method would result in leftover change.

8 0

2 months ago

A basket contains five apples and seven peaches. Four of the apples and two of the peaches are rotten. You randomly pick a piece

tester [12383]

2/35possible outcomes:5*7=35fresh or apple = 22/35

6 0

1 month ago

Read 2 more answers

A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150

lawyer [12517]

Answer:

Part 1) The equation is $A(x)=150x-2x^2$

Part 2) When x=40 m, the area of the schoolyard is A=2,800 m^2

Part 3) The valid domain consists of all real numbers exceeding zero and below 75 meters

Step-by-step explanation:

Part 1) Formulate an expression for A(x)

Let

x -----> the length of the rectangular school yard

y ---> the width of the rectangular school yard

It is known that

The perimeter for the fencing (taking the school wall as one side) is

$P=2x+y$

$P=150\ m$

thus

$150=2x+y$

$y=150-2x$ -----> this is equation A

The area of the rectangular school yard is

$A=xy$ ----> this is equation B

Substituting equation A into equation B yields

$A=x(150-2x)$

$A=150x-2x^2$

Change to function notation

$A(x)=150x-2x^2$

Part 2) What is the area when x=40?

With x equal to 40 m

substitute the value into the expression from Part 1 to determine A

$A(40)=150(40)-2(40^2)$

$A(40)=2,800\ m^2$

Part 3) What would be a suitable domain for A(x) in this scenario?

We understand that

A signifies the area of the rectangular school yard

x characterizes the length of the rectangular school yard

It follows that

$A(x)=150x-2x^2$

This forms a vertical parabola opening downwards

The vertex indicates a maximum point

The x-coordinate of the vertex corresponds to the length that maximizes the area

The y-coordinate of the vertex denotes the maximum area

The vertex corresponds to (37.5, 2812.5)

Refer to the accompanying figure

Consequently,

The peak area achieved is 2,812.5 m^2

The x-intercepts are located at x=0 m and x=75 m

The domain for A is the range -----> (0, 75)

All real numbers greater than zero and less than 75 meters

5 0

3 months ago

Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

AnnZ [12381]

The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.

5 0

2 months ago

Which expression is equivalent to (10x)^-3?

Inessa [12570]

(10x)^(-3)
= 1/[(10x)^3]
= 1/[10^3 * x^3]
= 1/(1000x^3)

The final result is 1/(1000x^3), and none of the given choices seem correct. (Option C would be correct if it used round brackets.)

Hope this helps~

4 0

1 month ago

Read 2 more answers