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Kazeer [188]
2 years ago
7

If (x^2 - y^2 = 10 and (x + y) =2 find x and y?

Mathematics
1 answer:
vampirchik [111]2 years ago
5 0

Answer:

x = 3.5 ; y = -1.5

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
Solve for x <br> x-31=-90<br><br> show how you got the answer
Vinil7 [7]

Answer:

x= -59

Step-by-step explanation:

x-31=-90

Adding 31 to both sides we get

x-31+31=-90+31

x=-59

4 0
3 years ago
Read 2 more answers
Lacy runs 5 1/4 km on Thursday. She runs 1 1/2 times as far on Saturday. How far does Lacy run on Saturday? Express your answer
natita [175]

Answer: 5 1/4 x 1 1/5 = 7 1/2 + 3/8 -> 7 7/8

The answer is 7 and 7/8

3 0
3 years ago
Angles of a polygon <br><br>thanks ​
tino4ka555 [31]

Answer:

900 degrees

Step-by-step explanation:

Use the formula for interior angles

Sum = (n - 2) x 180

Sum = (7 - 2) x 180

Sum = 5 x 180

Sum = 900 degrees

If this answer is correct, please make me Brainliest!

3 0
2 years ago
Bob invests $10,000 at 8% annual interest compounded continuously. How much is in the account after 12 years?
mihalych1998 [28]

Answer:

The answer would be C $25,181.70

since i kinda forgot the proper way its just 10000 times 1.08 them do that 12 times

3 0
3 years ago
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