If the tax rate is 8%, we need to find 108% of the price, or 330 times 1.08, which is $356.4
3h - 8h + 10 = 10 - 5h
-5h + 10 = 10 - 5h
infinitely many solutions
Answer:
x=-3
Step-by-step explanation:
3(x-6)+6=5x-6 - Problem
The Distributive property says a(b+c)=ab+ac. Using this knowledge, lets solve.
1) Distribute 3 to x and -6:
3x-18+6=5x-6
2) Combine alike terms: (-18 and 6)
3x-12=5x-6
3) Subtract 3x from both sides:
-12=2x-6
4) Add 6 to both sides:
2x=-6
5) Divide both sides by 2:
x=-3
Answer:
180 students are not in sixth grade.
Step-by-step explanation:
1/3 of 270 is 90. That means there are 90 students that are from sixth grade. Then you have to subtract 90 from 270 because its looking for students that arent in the sixth grade which leaves you to 180
We know that
1 km-------------> 1000 m
X-----------------> 1 m
X=1/1000--------> 0.001 km
1 hour---------> 3600 sec
X---------------> 1 sec
X=1/3600--------> 0.0002777 hour
1 ft-----------> 0.3048 m
X-----------> 1 m
X=1/0.3048 ----------> 3.28084 ft
Part 1) <span>What are all three sprinters times in kilometers per hour? Round your answers to the nearest tenths.
a) </span><span>Usain Bolt 9.58 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.58 sec-------------> 9.58*(1/3600)-----> 0.0026611 hour
0.10/0.0026611----------> 37.6 km/hour
</span>b) Tyson Gay 9.69 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.69 sec-------------> 9.69*(1/3600)-----> 0.0026916 hour
0.10/0.0026916----------> 37.2 km/hour
c) Florence Griffith-Joyner 10.49 sec in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
10.49 sec-------------> 10.49*(1/3600)-----> 0.0029138 hour
0.10/0.0029138----------> 34.3 km/hour
Part 2) <span>What are all three sprinters times in feet per second?
</span>
a) Usain Bolt 9.58 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.58 sec----------> 34.25 ft/sec
b) Tyson Gay 9.69 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.69 sec----------> 33.86 ft/sec
c) Florence Griffith-Joyner 10.49 sec in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/10.49 sec----------> 31.28 ft/sec
Part 3) <span>How much faster was Usain Bolt in the 100 meter than Tyson Gay?
9.69-9.58-------> 0.11 sec
</span>Usain Bolt was 0.11 sec faster than Tyson Gay in the 100 meter<span>
</span>
