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weqwewe [10]
3 years ago
15

Solve the system of equations. y = 9x y= 2x+56

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

(8, 72)

Step-by-step explanation:

Here we have two separate equations for y:  y = 9x and y = 2x + 56.

Equating these equations eliminates y temporarily; we get:

9x = 2x + 56, or 7x = 56.  Dividing both sides by 7 results in x = 8.  

Then, by the first equation, y = 9(8) = 72.

The solution is (8, 72).

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For integers a, b and k, we know that a >12, b > 20 and a < b. If b=7k, what is the value of k ?
Doss [256]

This question is incomplete, the complete question is;

For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?

Answer: the value of k = 2

Step-by-step explanation:

Given that;

a > 12

b < 20

a < b

If b = 7k

Now if k = 1      {b = 7k = 7}

b would be equal to 7 but b has to be greater than 20

IT CANT BE

if k = 2        { b = 7k = 14}

b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,

a has to be less than than b ( 12 < 14 )

IT IS

if k = 3      {b = 7k = 21}  

b would be equal to 21, so b is greater than 20 and a is less than 21

IT CANT BE

Therefore the value of k = 2

5 0
3 years ago
2
svet-max [94.6K]

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

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2 years ago
How many decameters are in 14 meters?
Goshia [24]
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3 years ago
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