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Andru [333]
2 years ago
11

Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations

Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

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An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number
Leto [7]

Answer:

b ≤ 50

Step-by-step explanation:

Since no more than 400 pounds of b number of 8 pound boxes can be taken off to ensure that the plane is in balance, this can be represented by the inequality:

8b ≤ 400

b ≤ 400/8

b ≤ 50

This means that a maximum number of 50 8 pounds boxes can be taken off the plane for a 600 pound crate to be put on ensuring that the plane is in balance.

8 0
3 years ago
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.
Kryger [21]
Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
 x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
 Therefore, the coefficients of the expansion are given by:
 1, 6, 15, 20, 15, 6, 1
 Answer:
 
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
5 0
3 years ago
Read 2 more answers
The probabilty of getting an A in math is 0.65 and the probability of getting an a in science is 0.62 whats the probability of g
ruslelena [56]

Answer:

The probability of getting an a in both courses is 1.27

Step-by-step explanation:

Probability of getting A in Math, P(M) = 0.6 5

Probability of getting A in Science, P(S) = 0.62

Required probability of getting A in both courses, P(M and S)

= P(M) + P(S)

= 0.65 + 0.62

= 1.27

6 0
3 years ago
Can you help me with these please 30 points
garik1379 [7]

Answer: 1. densities

2. i don’t have the passage but i assume it to be A or D

3. it will sink so A

Step-by-step explanation:

the density must be lower than 1 g/cm3 for it to float

3 0
3 years ago
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Laney ordered 12 copies of the same book for his book club members the book cost $19 each in the order has a $15 shipping charge
liubo4ka [24]

Answer:

$408

Step-by-step explanation:

15+19=34

34×12=408

Total cost of order $408

7 0
3 years ago
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