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Pani-rosa [81]
2 years ago
11

TASK 2: Lodge Profits After a long day on the slopes, the skiers/snowboarders like to relax in the lodge with some food and a be

verage. Help the Slopey Mountain Lodge manager calculate some scenarios.... 1) In order to make deliciously warm cappuccinos, the lodge must purchase a cappuccino machine for $500. If the lodge charges $5 for a cappuccino a) Write a linear equation to represent the lodge’s profit (P) for “x” number of cappuccinos.. b) Graph the linear equation that would represent the lodge’s profit for “x” number of cappuccinos. What do the numbers on the x-axis represent? What do the numbers on the y-axis represent? According to your graph, after how many cappuccinos does the lodge break even (reach $0)? c) Use your equation to calculate the lodges profit after selling 300 cappuccinos? d) Use your equation to calculate how many cappuccinos the lodge must sell to make a profit of $1,650
Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0
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The construction of an 80-meter bridge was finished in 12 weeks. How much of the bridge was built on average each week?
VMariaS [17]

Answer: <em>6.6 meters a week</em>

Step-by-step explanation:

<em>This problem is quite simple</em>

<em>You take 80 and divide it by 12</em>

<em>80/12 </em>

<em>which equals</em>

<em>6.6</em>

3 0
2 years ago
Two of the steps in the derivation of the quadratic formula are shown below. Step 6: StartFraction b squared minus 4 a c Over 4
sergeinik [125]

Answer:

Step-by-step explanation:

From the step given step 6

(b² — 4ac) / 4a² = (x + b/2a)²

Mistake in question it is (x + b/2a)²

Step 7 given

±√(b² —4ac) /2a = x + b/2a

Mistake in question it is over 2a and not 1a.

1. The step taken from step 6 to step 7 is taking square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking square of both sodes

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This is the required step 7.

Now, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac)  — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

So, this is the required formula method

The discriminant is D = b²—4ac.

6 0
2 years ago
Read 2 more answers
Find the hcf of 144 and 180. if it is expressed in the form 13m-3, find the value of m​
BaLLatris [955]

Answer:

Step-by-step explanation:

To find the HCF of 144 and 180

By using product of prime method

Firstly express 144 as a product of it prime and express 180 as a product of it prime

140=2×2×2×2×3×3

180=2×2×3×3×5

Common factor =2×2×3×3

36

in term of m

m=36

13m-3

To find m

Substitute for m when m=36

13(36)-3=

465

8 0
2 years ago
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12 catsate 40 pounds of cat food.At this rate, how many pounds of cat food would 48 cats eat?
max2010maxim [7]
The answer is 160, multiply 12 by 4 to get 48 cats. 40 multiplied by 4 = 160.
If that makes since.

Hope this helps
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2 years ago
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5dollar
jenyasd209 [6]

Answer:

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200200200 + 404040 -  101010 = 200503230

200503230 x 5 = 1002516150

8 0
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