Ratios and Percents
2.5%
3x^2*2x^7
6x^9
3-3
1/27
(1 xx 10^3)*(2xx10^-3)
2
3(a+4b)
3a + 12b
What is 45% of 250?
112.5
((7y^4z^2)/3)*((yz^3)/21)
(y^5z^5)/9
(3k^3)/(18k^5)
1/(6k^2)
(3xx10^7)*(4xx10^-3)
1.2xx10^5
-x(xy^2-x^-3)
-x^2y^2+x^-2
56 is 60% of what number?
93.33 or 93 and 1/3
(e^3f^-3)^-3
f^9/e^9
(ab^2c^3)/(a^-3b^-2c^-1
a^4b^4c^4
(1xx10^4)/(5xx10^-7)
2xx10^10
8b(b+2b^3c+b^4)+4b^2(1+6b^2c+b^3)
12b^2+40b^4c+12b^5
A laptop is normally priced at $1,199. There is a cyber Monday sale for 30% off. What is the price of the laptop after the discount?
$839.30
((4u)/3)^-2*(w/(2u))^-4
(9u^2)/w^4
((3jg^-3)/(2j^2))^-2
(4j^2g^6)/9
((3xx10^4)/(6xx10^-7))^-2
4xx10^-22
2k^-7(l^3k^-3-4l^3k+(l^3k^-3)/2)
3l^3k^-10-8l^3k^-6
Geralt, a wealthy lord, bought a castle with a forest. There was a forest fire on his land and his property is now worth only 3,750,000 rupees. This is only 55% of what he originally paid for it. How many rupees did he buy the property for?
6,818,181.81 rupees
The power generated by a windmill can be modeled by the equation
w = 0.015s^3 where w is the power measured in watts and s is the wind speed in miles per hour. Find the ratio of the power generated by a windmill when the wind speed is 20 mph to the power generated when the wind is 10mph
8 to 1
For the following, show that a is greater than b:
a=3^3*4^4*5^5*6^6 and b=3^6*4^5*5^4*6^3
Teacher Checks Work
If an atom has an average diameter of 5xx10^-10 meters, how many atoms fit across the diameter of a
2xx10^-2 meter coin?
4xx10^7
A 4-sided shape has sides that are consecutive, odd integers. If the perimeter is 64 inches, what is the length of the longest side?
19 inches
An alloy contains 26 % of copper. What quantity of alloy is required to get 260 g of copper?
100g of alloy
DAILY DOUBLE!! A cube is comprised of smaller cubes. The larger cube has sides that are three cubes long. The smaller cubes that make up the larger cube have sides of length 2z3h6. What is the volume of the large cube in terms of z and h.
216z9h18
The average weight of a cod t years old can be modeled by the equation w=1.16(1.44)^t . A 5-year-old cod weighs how many times as much as a 2-year-old cod?
About 3 times.