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Ksenya-84 [330]
3 years ago
11

The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of cases and i

ts height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of cases.
Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

To the number of cases in the stack hope this helped

Step-by-step explanation:

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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins
bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = \frac{360 - 80y}{60}

Substituing x into the second equation:

160(\frac{360 - 80y}{60}) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = \frac{360 - 80y}{60}

x = \frac{360 - 80.3}{60}

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

8 0
2 years ago
Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 2 feet and 40
Marrrta [24]

Answer:

The length of the third side is between 16 inches and 64 inches.

Step-by-step explanation:

The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.

First, we need both sides in the same units. Let's convert feet to inches.

2 ft * (12 in.)/(ft) = 24 in.

The sides measure 24 inches and 40 inches.

Now we add and subtract the two lengths.

40 in. + 24 in. = 64 in.

40 in. - 24 in. = 16 in.

The length of the third side is between 16 inches and 64 inches.

8 0
3 years ago
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows
Arisa [49]

Answer:

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, , and the amount of donations in dollars, , that the organization collected each week for 10 weeks.

Step-by-step explanation:

u.w.u

6 0
1 year ago
Find the slope of the line that passes through each pair of points.
kotegsom [21]
6. m=2
7. m=3
8. m=0
Hope it help
6 0
2 years ago
Bounce world offers birthday parties for $140 plus $6 per person. If you can spend no more than $240, how many people can you in
ryzh [129]

Answer

The most people you can invite with no more than $240, is 16 people.

Step-by-step explanation:

6x+140=240

6x = 100

x = 16.6666667

Therefore

x = 16.

7 0
2 years ago
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