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2 years ago

15

If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost

for 100 students will be $750 and the cost for 150 students will be $1050. find the caterers fixed cost and the cost per student served.

2 answers:

zhuklara [117]2 years ago

8 0

It would be $6 per student while the fixed cost is $150

lozanna [386]2 years ago

3 0

$x+100y=750 \\ x+150y=1050 \\ 50y=300 \\ y=6 \\ x=750-600=150$
The fixed cost is $150, while the per-student cost is $6.

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Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5

jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

$(cos x)^2+(sin x)^2=1$

$(cos x)^2+(sin x)^2=1$

$sin (x-y)=sin$ $x$ $sin$ $y-sin$ $y$ $cos$ $x$

$cos (x-y)=cos$ $x$ $cos$ $y+sin$ $x$ $xin$ $y$

si $x=\frac{8}{17}$

$cos$ $x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}$

$cos$ $y=\frac{3}{5}$

$sin$ $x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}$

thus

$tan (x-y)=[sin (x-y)]/[cos (x-y)]$

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

$[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]$

simplifying

$[24/85-60/85]/[45/85+32/85]$

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6 0

1 year ago

Grandma made an apple pie. Josh and his brother Joe ate most of it and had 1/5 of it left. Then, three friends came over and sha

bogdanovich [222]

Answer:

1/15

Step-by-step explanation:

Total pie = x

Total pie left = 1/5x

Then, three friends came over and shared the leftover pie

How much of the pie did each friend eat?

Pie eaten by each of the three friends = leftover pie / 3 friends

= 1/5x ÷ 3

= 1/5x * 1/3

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Rina8888 [55]

Answer:

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Step-by-step explanation:

So we have the equation:

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Combine like terms:

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Add:

$7x-28=2$

Add 28 to both sides:

$7x=30$

Divide both sides by 7:

$x=30/7$

So, our answer is 30/7

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nadya68 [22]

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3 years ago

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Whitepunk [10]

Answer:

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Step-by-step explanation:

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3 years ago