In a step graph plotted on a coordinate plane, each horizontal section is precisely 1 unit wide. The left endpoint of each segment displays a closed circle, while the right endpoint shows an open circle. The leftmost segment stretches from (-3, -5) to (-2, -5). Every subsequent segment is positioned 1 unit higher and shifted 1 unit rightward compared to the one prior. The rightmost segment extends from (4, 2) to (5, 2). The representation is a direct reflection of the floor function, which produces horizontal segments with closed circles on the left and open circles on the right.
Answer: $35
Step-by-step explanation:
The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.
To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:
= 25% of $140
= 25/100 × $140
= 1/4 × $140
= 0.25 × $140
= $35
The individual must cut $35 from the bill, resulting in a new monthly payment of ($140 - $35) = $105.
According to the details provided in the question, m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°. Since ∠2 is congruent to ∠9 (alternate interior angles), we establish that m∠2 = m∠9 = 41°. Utilizing the angle sum property, we have m∠8 + m∠9 + m∠10 = 180°, leading to m∠8 + 41 + 109 = 180°. Thus, m∠8 equates to 30°. From the triangle's angle sum, m∠2 + m∠7 + m∠8 = 180°, resulting in 41 + m∠7 + 30 = 180°. Consequently, m∠7 calculates to 109°. Also, m∠6 + m∠7 = 180°, so m∠6 comes to 71°. Given that m∠5 + m∠4 = 180°, we have m∠4 = 86°. Lastly, using the triangle angle sum theorem again, m∠4 + m∠3 + m∠9 = 180°, so m∠3 calculates to 53°. Thus, through the angle relationship, m∠1 + m∠2 + m∠3 = 180°, leading to m∠1 = 86°.
The answer relevant to the presented question is: "C) 3 tons from source A, 0 tons from source B." This indicates the amounts of ore from each source that should be processed daily to optimize steel production is <span>C) 3 tons from source A, 0 tons from source B </span>
.
Answer:
The answer is A. 990.
Step-by-step explanation:
To determine the maximum duration that any of the mowers can run.
The three lawn-service mowers have an average operating time of 930 minutes.
Thus, the overall duration for the three lawn mowers is 
The shortest time any mower runs is 900 minutes.
To find the longest operating time of any mower:
Let 
represent the maximum operating time for any of the mowers.
Since any of the mowers works the longest time.
Consequently, the remaining two mowers operate at the minimum time.
Based on the question:
After subtracting 1800 from both sides:
Thus, the maximum potential operating time for any mower is 990 minutes.
Consequently, the answer is A. 990.
