Answer: the integers are 6 and 23
Step-by-step explanation:
Let x represent one of the integers.
Let y represent the other integer.
The product of the integers is 138. This means that
xy = 138 - - - - - - - - - -1
One of the integers is seven less than five times the other integer. This means that
x = 5y - 7
Substituting x = 5y - 7 into equation 1, it becomes
y(5y - 7) = 138
5y² - 7y = 138
5y² - 7y - 138 = 0
5y² + 23y - 30y - 138 = 0
y(5y + 23) - 6(5y + 23)
y - 6 = 0 or 5y + 23 = 0
y = 6 or y = - 23/5
The only possible value of y is 6
x = 138/y = 138/6
x = 23
Answer:
Step-by-step explanation:
Ratio = 4/7 : 1/8
= 32 : 7
= 7 : 32
Ratio 4/7 over 1/8 is the multiplicative inverse of the ratio 1/8 over 4/7
<u>Complete Question</u>
The probability distribution table is given below:
Answer:
1.61
Step-by-step explanation:
The probability distribution table is given below:
We want to determine the mean number of times a person gave blood.
Expected Value, 
The mean number of times a person gave blood based on this survey is 1.61.
The coordinate of the midpoint of line segment LT is determined as: -12.
<h3>How to Find the Coordinate of the Midpoint of a Line Segment?</h3>
The midpoint of a line segment is the point where the distance between the endpoints of the line segment are equidistant. The distance from that midpoint to each endpoint is the same.
Given the following:
- Coordinate of point L is: -35
- Coordinate of point T is: 11
Distance from point L to T = |-35 - 11| = 46 units.
Half of 46 units would be: 46/2 = 23 units.
This means that, both point L and point T are 23 units from the midpoint of segment LT.
Thus, the coordinate of the midpoint would be 23 units from -35 = -35 + 23 = -12
Or 23 units from the midpoint to point T = 11 - 23 = -12
Therefore, the coordinate of the midpoint of line segment LT is determined as: -12.
Learn more about the midpoint of a segment on:
brainly.com/question/19149725
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Answer:
$20.8
Step-by-step explanation:
Let's see how much she would have payed if it was 99% off
32 / 100 = 0.32
0.32 * 35 = 11.2
32 - 11.2 = $20.8
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