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melamori03 [73]
2 years ago
7

Solve using elimination 5x+7y=9 2x-3y=-37

Mathematics
1 answer:
uranmaximum [27]2 years ago
4 0

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

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A 13-ft piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. Find the
hammer [34]

Answer:

The length of the shorter piece = 3 ft

The length of the longer piece = 10 ft  

Step-by-step explanation:

According to the question;

  • Total length of the string is 13 ft
  • Longer piece is 4ft longer than twice the shorter piece;

Therefore;

  • Assuming the shorter piece is x ft
  • Then, the longer piece will be (2x + 4) ft

Thus;

Longer piece + shorter piece = 13 ft

x ft + (2x + 4) ft = 13 ft

3x + 4 = 13

3x = 9

 x = 3 ft  and

2x + 4 = 10 ft

Therefore;

The length of the shorter piece = 3 ft

The length of the longer piece = 10 ft  

5 0
2 years ago
A parking lot has sixty-one parking spaces numbered from 1 to 61. There are no cars in the parking lot when Jillian pulls in and
Nutka1998 [239]

Answer:

  B. 40/61

Step-by-step explanation:

There are 40 spots out of the 61 in the lot with numbers greater than or equal to 22. The probability of choosing one of them at random is 40/61.

_____

<em>About the answer choices</em>

61/21 and 61/40 are both numbers that are greater than 1. A probability is always a number between 0 and 1 (inclusive), so these answers can be rejected immediately.

There are 21 spots with numbers less than 22, so 21/61 is the probability of choosing one of those. That is not what the question is asking for.

4 0
2 years ago
HELP PLS i need HELP PLSSSS
umka21 [38]

Answer:

y=3

Step-by-step explanation:

It is a plateau unaffected by x, thus there is no x.

3 0
2 years ago
Read 2 more answers
Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime
Sladkaya [172]

Answer:

m(x)_A = 5.2 --- Mean absolute deviation of educational documentary

m(x)_B = 4.7 --- Mean absolute deviation of prime time drama

Step-by-step explanation:

Given

n = 10

See attachment for table

Required

Determine the mean absolute deviation of each

Mean absolute deviation m(x) is calculated as:

m(x) = \frac{1}{n}\sum |x - \mu|

For Educational Documentary

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}

\mu_A = \frac{232}{10}

\mu_A = 23.2

The mean absolute deviation is then calculated as:

m(x)_A = \frac{1}{n}\sum |x - \mu_A|

m(x)_A = \frac{1}{10}(|26 -23.2| +|28  -23.2| +|30  -23.2| +|18 -23.2| +|27 -23.2| +|18  -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)

m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)

m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)

m(x)_A = \frac{1}{10}*52

m(x)_A = 5.2

For Prime time Drama

First, calculate the mean

\mu = \frac{\sum x}{n}

So:

\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}

\mu_B = \frac{341}{10}

\mu_B = 34.1

The mean absolute deviation is then calculated as:

m(x)_B = \frac{1}{n}\sum |x - \mu_B|

m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)

m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)

m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)

m(x)_B = \frac{1}{10}*47

m(x)_B = 4.7

6 0
3 years ago
Can anyone figure this out and explain? Thanks
dezoksy [38]

The deepest point of the lake is -922, so to get to the surface of the lake you would need to add 922 feet.

The deepest point of the lake is 11,542 feet above sea level.


To find the surface of the lake add 922 to 11,542.

11542 + 922 = 12,464 feet

5 0
3 years ago
Read 2 more answers
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