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gavmur [86]
3 years ago
12

Identify the hypothesis of the statement If x + 4 = 5, then x = 1.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:

c

hypothesis is an educated guess. it follows the word if in If, then statements.

following the word then is your conclusion

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Three hundred seventeen kids went on a field trip last
arlik [135]

Answer:

310 kids/ 6 busses

310/6=51.6 so

52 or 51 kids on each bus.

3 0
3 years ago
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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
A square has an area of 121 square centimetres.<br> What is its perimeter?
Karolina [17]

Answer:

  44 cm

Step-by-step explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

  s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

  P = 4s = 4(11 cm)

  P = 44 cm

The perimeter of the square is 44 cm.

3 0
1 year ago
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What is the correct answer of 1/3
serious [3.7K]
The correct answer of 1/3 is the decimal form of it which is 0.3 repeated (you can put a line on top of the 3). If not just leave it as 1/3 it is simplified as a fraction.
8 0
3 years ago
what is -8x-9=-21, can someone work out the problem and show me what they did to get there answer so i can understand it?
SashulF [63]

- 8x - 9 = - 21

Add 9 to both sides:

- 8x = - 12

Divide both sides by - 8:

x = -12/-8

x = -3/-2

x = 3/2 OR 1.5

Hope this answer helps :)

6 0
3 years ago
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