Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
Answer:
≈ 58
Step-by-step explanation:
Estimation usually means you want an answer good to one or maybe two significant figures. That usually means you want to round the numbers involved to one or two significant figures.
Doing that here transforms the problem to 180/3 = 60, an answer with one significant figure.
You can improve the estimate a bit by recognizing that it is a little high (the numerator is higher than 175.32, but the denominator is the same). Since the numerator is high by about 5, the estimate is high by about 5/3 or a little less than 2. A closer estimate will be 60 - 2 = 58.
_____
The degree to which you refine the estimate will depend on the error requirements you have. Certainly an estimate of 60 is within 10% of the true value, so is "close enough" for many purposes.
Answer:
Step-by-step explanation:
The formula for determining the the volume of a rectangular base pyramid is expressed as
Volume = 1/3 × base area × height
From the information given,
Length of base = 9 cm
Width of base = 4.6 cm
Area of base = 9 × 4.6 = 41.4 cm²
Volume of pyramid = 82.8cm³
Therefore
82.8 = 1/3 × 41.4 × height
82.8 = 13.8 × height
Dividing both sides of the equation by 13.8, it becomes
height = 82/13.8
Height = 5.94 8 cm
The driver can drive around the track 54 times for $12. Thus for one dollar, he can drive around the track 54/12 times, or 4.5 times. If for each dollar he drives around 4.5 times, for 8 dollars, he can drive around 8*4.5 or 36 times.
If there are 207 students in 9 classes, in 1 class, there are 207/9 students, or 23 students per class. Since there are 23 students per class and there are classes, there are a total of 23*6 or 138 students in total.
Liam practices 24 times in 4 days. Thus he practices 24/4 or 6 times per day. His brother practices 12 times in 3 days. Thus he practices 12/3 or 4 times a day. Thus their rates are not equivalent.
