Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
- Given that a gas pump fills 2^-2 gallon of gasoline per second.
As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:
∵ 
gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
Area of the trapezium = 1/2 (40 + 160) x 70
Area of the trapezium = 7000 ft²
One bag of fertilizer = 4000 ft²
Number of bags of fertilizer needed = 7000 ÷ 4000 = 1.75 bags.
Since only full bags of fertilizer can be bought, 2 bags of fertilizer are needed.
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Answer: 2 bags of fertilizer
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the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
Let us find the area of the triangle first.
6 x 8 / 2 = 24 ft²
Now we can do the semi circle. Note that it is a semi circle and not a circle.
1/2π(4²) = 8π = 25.12 ft²
Add the areas up to find the area for the figure.
24+25.12 = 49.12 ft²
