Answer:
4/5 - 3/10 is 0.5.
Step-by-step explanation:
You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer
Answer:
Cost of Hats = $15
Cost of Scarves = $8
Step-by-step explanation:
Let
Cost of Hats = x
Cost of Scarves = y
5x + 3y = 99 (1)
3x + 5y = 85 (2)
Multiply (1) by 5 and (2) by 3
25x + 15y = 495
9x + 15y = 255
Subtract
25x - 9x = 495 - 255
16x = 240
Divide both sides by 16
x = 240 / 16
= 15
x = $15
Substitute x = 15 into
5x + 3y = 99
5(15) + 3y = 99
75 + 3y = 99
3y = 99 - 75
3y = 24
y = 24/3
= 8
y = 8
Cost of Hats = $15
Cost of Scarves = $8
1 1/2 plus 3/4 equal 9/4, and 9/4 divided by 1/8 equal 18
let's firstly convert the mixed fractions to improper fractions and then sum them up.
![\bf \stackrel{mixed}{2\frac{2}{8}}\implies \cfrac{2\cdot 8+2}{8}\implies \stackrel{improper}{\cfrac{18}{8}}~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{18}{8}+\cfrac{9}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)18+(2)9}{8}}\implies \cfrac{18+18}{8}\implies \cfrac{36}{8}\implies \cfrac{9}{2}\implies 4\frac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B2%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B18%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B18%7D%7B8%7D%2B%5Ccfrac%7B9%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%208%7D%7D%7B%5Ccfrac%7B%281%2918%2B%282%299%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B18%2B18%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B36%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%5Cimplies%204%5Cfrac%7B1%7D%7B2%7D)
Answer:
$13
Step-by-step explanation:
89 = 11 +6x
78 = 6x
x = 13
