Solve Equations
`x\div11-7=70`
`x=847`
`9999^0\times 1^9999\times 9999^1\times 0^9999`
`9999^0\times 1^9999\times 9999^1\times 0^9999`
`=1\times 1\times 9999\times 0`
`=0`
True or false? If a whole number is not prime, then it must be composite.
False! ex. 1
`3\frac{2}{3}\div 6\frac{7}{8}`
`3\frac{2}{3}\div 6\frac{7}{8}`
` = \frac{11}{3}\div\frac{55}{8}`
`= \frac{11}{3}\times \frac{8}{55}`
`=\frac{8}{15}`
`5/8 x+4=8`
`x=6\frac2 5`
`(4y^4)^4`
`(4y^4)^4=256y^16`
Is 777,777,777 prime or composite? Explain!
composite! 3|777,777,777
Evaluate.
`(1\frac2 9)^3`
`(1\frac2 9)^3`
`=(\frac{11}{9})^3`
`=(\frac{1331}{729})`
`=1\frac{602}{729}`
I have two dogs, one of which is 37 pounds heavier than the other. If the two dogs together weigh 119lbs, how much does the lighter one weigh?
`x+(x+37)=119`
`x=41`
41 lbs.
`100-(100x-x)`
`100-99x`
Composite! `121=7*23`
John spent `\frac2 5` of his paycheck on a video game, and ` \frac{1}{3} ` of the remaining money on snacks. If he had $34 left, how much did he have to begin with?
$85
`16-2x=1\frac{1}{2}x+9`
`16-2x=1\frac{1}{2}x+9`
`16=3\frac{1}{2}x+9`
`7=3\frac{1}{2}x`
`2=x`
`9999^2+9999`
`9999^2+9999`
`=9999(9999+1)`
`=9999(10000)`
`=99,990,000`
Evaluate.
`\sqrt 1936`
`\sqrt 1936 =44`
Solve.
`12/51=x/170`
`12/51=4/17=40/170`
`x=40`
Write & solve an equation.
I am now three years younger than twice what my age was six years ago. How old am I now?
Let `x=` my age now.
`x=2(x-6)-3`
`x=15`
`(1/3x)^2+1/3x^2`
`=1/9x^2+1/3x^2`
`=1/9x^2+3/9x^2`
`=4/9x^2`
Find the GCF & LCM of 1134 and 1215
GCF(1134, 1215) = 81
LCM(1134, 1215) = 17,010
Mr. Ramirez had $600. He saved `3/5` and spent `3/8` of the remainder. How much did he spend?
$90