Answer: Choice A) 8.742 * 10^7
=====================================
Work Shown:
![(a * 10^b) \times (c * 10^d) = a*c*10^{b+d}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 2.82*3.1*10^{4+3}\\\\(2.82 * 10^4) \times (3.1 * 10^3) = 8.742*10^{7}\\\\](https://tex.z-dn.net/?f=%28a%20%2A%2010%5Eb%29%20%5Ctimes%20%28c%20%2A%2010%5Ed%29%20%3D%20a%2Ac%2A10%5E%7Bb%2Bd%7D%5C%5C%5C%5C%282.82%20%2A%2010%5E4%29%20%5Ctimes%20%283.1%20%2A%2010%5E3%29%20%3D%202.82%2A3.1%2A10%5E%7B4%2B3%7D%5C%5C%5C%5C%282.82%20%2A%2010%5E4%29%20%5Ctimes%20%283.1%20%2A%2010%5E3%29%20%3D%208.742%2A10%5E%7B7%7D%5C%5C%5C%5C)
Extra info:
![8.742 * 10^7 = 87,420,000](https://tex.z-dn.net/?f=8.742%20%2A%2010%5E7%20%3D%2087%2C420%2C000)
which is a little over 87.4 million
2/3 of 1¾ is simply their product, let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\\\ \cfrac{2}{3}\cdot \cfrac{7}{4}\implies \cfrac{2}{4}\cdot \cfrac{7}{3}\implies \cfrac{1}{2}\cdot \cfrac{7}{3}\implies \cfrac{7}{6}\implies 1\frac{1}{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B4%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B2%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B7%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B4%7D%5Ccdot%20%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B7%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B6%7D%5Cimplies%201%5Cfrac%7B1%7D%7B6%7D)
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 15 cent stamps
y = 20 cent stamps
I will be using these equations
x + y = 16
0.15x + 0.20y = 3
x = 16 - y
0.15(16 - y) + 0.20y = 3
2.40 - 0.15y + 0.20y = 3
-0.15y + 0.20y = 3 - 2.40
0.05y = 0.60
y = 0.60/0.05
y = 12.......there were 12 twenty cent stamps
x + y = 16
x + 12 = 16
x = 16 - 12
x = 4.....there were 4 fifteen cent stamps
no change is received