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asambeis [7]
3 years ago
14

What is the value of x in the following system of equations? 11x + 12y = 13 14x + 15y = 16 A. x = −2 B. x = −1 C. x = 1 D. x = 2

Mathematics
1 answer:
Grace [21]3 years ago
5 0
11x + 12y = 13....multiply by 15
14x + 15y = 16...multiply by -12
---------------------
165x + 180y = 195 (result of multiplying by 15)
-168x - 180y = - 192 (result of multiplying by -12)
-------------------add
-3x = 3
x = -3/3
x = -1 <====
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Check all of the points that are solutions to the system of inequalities.
sashaice [31]

Answer:

B and E

Step-by-step explanation:

A: 3 + 6 < 4 + 3 and 6 > 4

9 < 7 is false so A is not the answer.

B: 1 + 5 < 4 + 3 and 5 > 4

6 < 7 and 5 > 4 are true so B is an answer.

C: 2 + (-1) < 4 + 3 and -1 > 4

-1 > 4 is false so C is not an answer.

D: 1 + 1 < 4 + 3 and 1 > 4

1 > 4 is false so D is not an answer.

E: 2 + 8 > 4 + 3 and 8 > 4

10 > 7 and 8 > 4 are both true so E is an answer.

F: -1 + 8 > 4 + 3 and 8 > 4

7 > 7 is false so F is not an answer.

4 0
3 years ago
Find the discriminant. (Must Show Work)<br><br> -9m^2+m-7=0
algol [13]

Answer:

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Step-by-step explanation:

the discriminant .b^2-4ac

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4 0
3 years ago
A mixture contains 1/16 pound sand and 7/8 pound compost. At that rate, what amount of sand is needed if the mixture contains 1
daser333 [38]

Answer:

A. ¹/₁₄ lb  

Step-by-step explanation:

¹/₁₆ lb sand goes with ⅞ lb compost.

For 1 lb compost, the mass of sand needed is:

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We must evaluate the fraction (¹/₁₆)/(⅞).

Invert the denominator and multiply

(¹/₁₆)/(⅞) = ¹/₁₆ × ⁸/₇             Cancel the 8s

                      = ½ × ⅐      Multiply numerators and denominators

                      = ¹/₁₄

For 1 lb of compost, the mass of sand needed is ¹/₁₄ lb.

8 0
3 years ago
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Mandarinka [93]
1/3 is less than 3/4 but i am pretty sure 9:16 is less than 3/4 because 9/16 is close to 8/16 which is 1/2
8 0
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Lelu [443]
Point P represents point (4, -5)
8 0
3 years ago
Read 2 more answers
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