The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.
The area of the larger box is 100×432 cm² = 43,200 cm².
Answer: 140cm 2
Step-by-step explanation: 8 x 5 = 40 x 4 = 115 + 25 = 140
1 way is (100 divide by 5) +(35 divide by 5)
2 way is (50 divide by 5) + (85 divide by 5)
now, we're assuming they're directly proportional, so say y = miles, x = hours.
![\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y=\frac{4}{5}\\[0.8em] x=\frac{1}{8} \end{cases}\implies \cfrac{4}{5}=k\cfrac{1}{8}\implies \cfrac{4}{5}=\cfrac{k}{8} \\\\\\ \cfrac{8\cdot 4}{5}=k\implies \cfrac{32}{5}=k\implies 6\frac{2}{5}=k](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bdirect%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20directly%20with%20%5Cunderline%7Bx%7D%7D%5Cqquad%20%5Cqquad%20y%3Dkx%5Cimpliedby%20%5Cbegin%7Barray%7D%7Bllll%7D%20k%3Dconstant%5C%20of%5C%5C%20%5Cqquad%20variation%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ctextit%7Bwe%20know%20that%20%7D%20%5Cbegin%7Bcases%7D%20y%3D%5Cfrac%7B4%7D%7B5%7D%5C%5C%5B0.8em%5D%20x%3D%5Cfrac%7B1%7D%7B8%7D%20%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B5%7D%3Dk%5Ccfrac%7B1%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B5%7D%3D%5Ccfrac%7Bk%7D%7B8%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B8%5Ccdot%204%7D%7B5%7D%3Dk%5Cimplies%20%5Ccfrac%7B32%7D%7B5%7D%3Dk%5Cimplies%206%5Cfrac%7B2%7D%7B5%7D%3Dk)
Answer:
- sixty-six millionths
- 0.027
- $12.60
Step-by-step explanation:
(a) The least-significant digit is in the 6th place to the right of the decimal. Numbers in that place have the value "millionths." The number is 66 times 1 millionth, or sixty-six millionths.
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(b) 27/1000 = 0.027 . . . . the least-significant digit goes in the "thousandths" place
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(c) The digit to the right of the "cents" place is 5. This is more than 4, so 1 must be added to the cents place when rounding. $12.59 + 0.01 = $12.60.
