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Whitepunk [10]
4 years ago
12

Solve this system of linear equation 7x+11y=-2

Mathematics
1 answer:
olga2289 [7]4 years ago
4 0

Answer:

x = 5.2

y = 3.5

Step-by-step explanation:

in order to solve the linear equation simultaneous we say

let

7x+11y=-2............................................ equation 1

7x+3y=30............................................ equation 2

from equation 1

7x+11y=-2.................................................... equation 1

7x = 2 - 11y

divide both sides by the coefficient of x which is 7

7x/7 = 2 - 11y/ 7

x = (2 - 11y)/7.................................... equation 3

put equation 3 into equation 2

7x+3y=30................................................... equation 2

7[ ( 2 - 11y)/ 7 ] + 3y = 30

2 - 11y + 3y = 30

2 - 8y = 30

-8y = 30-2

-8y = 28

divide both side by -8

-8y/-8 = 28/-8

y = 3.5

put the value of y in equation  3

x = (2 - 11y)/7.................................... equation 3

x =  ( 2 - 11(3.5)]/ 7

x = 2 - 38.5/7

x= 36.6/7

x  =  5.2

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-3+ 4d - 2f + 3d + 6f - 4 - 8
Igoryamba

Answer:

<h2><em><u>7d + 4f - 15</u></em></h2>

Explanation:

-3 + 4d - 2f + 3d + 6f - 4 - 8

= −3 + 4d + −2f + 3d + 6f + −4 + −8

  • Combine Like Terms

= −3 + 4d + −2f + 3d + 6f + −4 + −8

(4d + 3d) + (−2f + 6f) + (−3 + −4 + −8)

7d + 4f + −15

= 7d + 4f - 15

5 0
3 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The
Bond [772]

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

3 0
3 years ago
Explain the following types of angles:
ZanzabumX [31]

Answer:

acute angle measure less than 90 degrees, right angle measure 90 degrees, Obtuse angle measure more than 90 degrees, straight angle equal to 180 degrees, reflex angle is an angle greater than 180° and less than 360°, complementary angle either of two angles whose sum is 90°, supplementary angle either of two angles whose sum is 180°

6 0
3 years ago
If f(x) = + 8, what is f(x) when x = 10?<br> Help
Reptile [31]

Step-by-step explanation:

f(x) = + 8

x = 10?

f(10)= +8

no change

5 0
3 years ago
Read 2 more answers
I need help
PolarNik [594]

Answer:

B is equal to 10

Step-by-step explanation:

You can add those two numbers together and set equal to 90. This would allow you to solve for B

B + 3B + 50 = 90

4B + 50 = 90

4B = 40

B = 10

5 0
3 years ago
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