Answer:
90 mirrors
Step-by-step explanation:
If 5 mirrors=30 mins
then x=9 hrs
therefore 30÷60 to covert it to hours is equal to 0.5hr
5×9hrs÷0.5hr=90
therefore x=90
The carpenter increases his distance from ground at A. Then at B, stays at the same level. At C, he decreases where at D he returns to ground level. At E he increases his distance from the ground and stays at the same height for F. Basically he is going up and down the whole time.
Answer:
(x, y, z) = (7, 9, 90)
Step-by-step explanation:
The two acute angles between l1 and l2 are vertical, so congruent.
(9x -7) = 8x
x = 7 . . . . . . . . . add 7-8x
These are supplementary to the obtuse angle between those lines:
8(7) + (13y +7) = 180
13y = 117 . . . . subtract 63
y = 9 . . . . . . . divide by 13
The angle marked z is supplementary to the angle marked as a right angle.
z + 90 = 180
z = 90
Answer: 76 roses were sold.
Step-by-step explanation:
Let x represent the number of tulips that the math club sold.
Let y represent the number of roses that the math club sold.
The number of roses sold was 8 more than 4 times the number of tulips sold. This means that
y = 4x + 8
Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that
2x + 5y = 414- - - - - - - - - 1
Substituting y = 4x + 8 into equation 1, it becomes
2x + 5(4x + 8) = 414
2x + 20x + 40 = 414
22x = 414 - 40
22x = 374
x = 374/22
x = 17
y = 4x + 8 = 4 × 17 + 8
y = 76
<h3>Answer: Choice A) 11.4</h3>
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Explanation:
Refer to the table below.
The first step is to find the midpoint of each interval.
To do that, we add up the endpoints and divide by 2. The midpoint of the interval from 2 to 6 is 4 because (2+6)/2 = 8/2 = 4. Repeat these steps for the other intervals to find that the remaining midpoints are: 8, 12, 16, 20.
Overall, the midpoints from top to bottom are 4, 8, 12, 16, 20
Note how the midpoints are incrementing by 4 each time, which is the same distance between each successive left endpoint (and right endpoint endpoints as well).
Let's say m represents the set of midpoints which I'll form in the third column. Multiply the frequency column f by each corresponding midpoint m. The result fm forms the fourth column.
Add up everything in that fourth column to get 1140. We then divide that by the sum of the frequencies (100) to get 1140/100 = 11.4 which is the final answer. The average weight is 11.4 pounds.
