Answer:
(x, y) = (77/240, -3/10)
Step-by-step explanation:
It is convenient to write the equations in standard form.
Multiplying the first equation by 21 gives ...
21y = 24x -14
Multiplying the second equation by 8 gives ...
24x +9y = 5
Then the system of equations in standard form is ...
Subtracting the first from the second, we get ...
(24x +9y) -(24x -21y) = (5) -(14)
30y = -9
y = -9/30 = -3/10
Substituting this into the second equation, we have ...
24x +9(-3/10) = 5
24x = 7.7 . . . . . . . add 27/10
x = 7.7/24 = 77/240
The solution is (x, y) = (77/240, -3/10).
Answer:
A is the only solution.
Step-by-step explanation:
A simple way to solve it is to plug in the x and y values
For A, we plug in 2 for x and 3 for y
3-3=5(2-2)
0=5(0)
0=0
Ordered pair A is a solution
For B, plug in 3 for x and 2 for y
2-3=5(3-2)
-1=5(1)
-1 does not equal 5
Therefore only A is a solution
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notic
pishuonlain [190]
The five-number summary and the interquartile range for the data set are given as follows:
- Interquartile range: 50 - 29 = 21.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference between the third quartile and the first quartile.
In this problem, we have that:
- The minimum value is the smallest value, of 24.
- The maximum value is the smallest value, of 56.
- Since the data-set has odd cardinality, the median is the middle element, that is, the 7th element, as (13 + 1)/2 = 7, hence the median is of 43.
- The first quartile is the median of the six elements of the first half, that is, the mean of the third and fourth elements, mean of 29 and 29, hence 29.
- The third quartile is the median of the six elements of the second half, that is, the mean of the third and fourth elements of the second half, mean of 49 and 51, hence 50.
- The interquartile range is of 50 - 29 = 21.
More can be learned about five number summaries at brainly.com/question/17110151
#SPJ1
Answer:
=
−
7
/1
1 in fraction form
Step-by-step explanation:
STEP 1: Multiply by 1
1
+
1
0
+
2
5
=
1
8
+
1
0
+
2
5
=
1
8 STEP 2: Combine like terms
+
1
0
+
2
5
=
1
8
1
1
+
2
5
=
1
8 STEP 3: Subtract 2
5 from both sides of the equation
11x+25=18
1
1
+
2
5
−
2
5
=
1
8
−
2
5
STEP 4: Simplify by subtracting the numbers
1
1
+
2
5
−
2
5
=
1
8
−
2
5
11x+25−25=18−25
1
1
=
1
8
−
2
5 1
1
= -7
STEP 5: Divide both sides of the equation by the same term 1
1
=
−
7 11x/
11x = −7/
1
1 (set up as a fraction) STEP 6: Cancel terms that are in both the numerator and denominator
= −
7
/1
1 SOLUTION
= −
7
/1
1
Answer: $2250
Step-by-step explanation:
<u>Given information</u>
Dimension of the room = 20 feet × 15 feet
Cost of tiles = $7.50 / ft²
<u>Derived formula from the given information</u>
Total cost = Floor area × Cost of tiles
<u>Substitute values into the formula</u>
Total cost = Floor area × Cost of tiles
Total cost = (20 × 15) × (7.5)
<u>Simplify by multiplication</u>
Total cost = 300 × (7.5)
Hope this helps!! :)
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