1). Multiply (5400 inches) by (1 foot / 12 inch) then by (1 mile / 5280 foot).
(See explanation at the bottom)
= (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)
= (5400 x 1 x 1 / 12 x 5280) (inch - foot - mile / inch - foot)
= 0.0852 mile
2). Multiply (16 week) by (7 day/week) then by (24 hour/day)
then by (60 minute/hour) then by (60 sec/minute).
3). Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
and then by (1000 mm/meter)
4). Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
then by (1 mile/1609.3 meter).
5). Look up how many grams in a pound ('P')
Look up how many mL in a gallon ('G')
Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)
6). Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).
Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch). Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
it only changes the units ... that's what this whole exercise is about.
When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out. When you're done, if you did it correctly, the last unit you end up with will be the one you want.
Answer:
27a³
Step-by-step explanation:
9⁴xa⁷b⁴ / 3⁵xa⁴b⁴
(3²)⁴xa⁷b⁴ / 3⁵xa⁴b⁴
3⁸xa⁷b⁴ / 3⁵xa⁴b⁴
3³a³
27a³
Answer:
a² - b² = ± 32
Step-by-step explanation:
⇒ a + b = 4
⇒ a = 4 - b ... ( 1 )
Substituting this in another equation we get,
⇒ ab = -12
⇒ ( 4 - b ) ( b ) = -12
⇒ 4b - b² = -12
⇒ b² - 4b - 12 = 0
⇒ b² - 6b + 2b - 12 = 0
⇒ b ( b - 6 ) + 2 ( b - 6 ) = 0
⇒ ( b + 2 ) ( b - 6 ) = 0
⇒ b = -2, 6
Case 1: If b = -2
⇒ a = 4 - b
⇒ 4 - ( -2 ) = 4 + 2 = 6
Case 2: If b = 6
⇒ a = 4 - b = 4 - 6 = -2
Hence the numbers are 6 and -2.
⇒ a² - b² = ?
Case 1: a = 6 and b = -2
⇒ ( 6 )² - ( -2 )²
⇒ 36 - 4 = 32
Case 2: a = -2, b = 6
⇒ ( -2 )² - ( 6 )²
⇒ 4 - 36 = -32
Hence the answer for a² - b² can be ± 32 depending on the values of a and b.
hope it help a little bit.
Answer: The correct answer is Choice C.
The probability of rolling doubles on a pair of die is 1/6 or about 16.7%.
To roll doubles 3 times, you would have to multiply 1/6 by 1/6 by 1/6.
If you multiply those values correctly, you will have 0.00463.
Answer:
$240
Step-by-step explanation:
30 (the weeks in 7 months) times 8 (his weekly savings) = 240