<span>There are 4 pair of numbers that add up to 16. So you would need to choose at least 5 numbers to ensure that you got at least one of those pairs.</span>
Answer:
8 games
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Total amount = $150
Spent on Parking = 1/5 or 20% = $150 × 20% = $30
Spent on admission = $37
Spent on food = 40% = $150 × 40% = $60
Spent on admission in waterpark = $10
Each game cost = $1.5
So, let number of games played be X, then
$30 + $37 + $60 + $10 + $1.5X = $150
$137 + $1.5X = $150
1.5X = $150 - $137
1.5X = $13
X = $13 ÷ 1.5 = 8.67 or 8 games
Hence, Henry can play 8 games.
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation


Thus, the equation in the point-slope form of the line equation is:

Simplifying the equation

Subtract 3 from both sides


Multiplying the equation by 4


Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
The first one. Hope this helps
Be glad to tell me if it’s correct or not
Answer:
$21.55
Step-by-step explanation:
21.50 + 44.95 + 12 = $78.45
100 - 78.45= $21.55