Answer:3 and 1/8
Step-by-step explanation:by adding
Answer:
Step-by-step explanation:
a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a
Use the formula s = sum of geometric series = -----------
1 - r
0.48 48
which in this case is s = --------------- = ------------ = 48/99 = 16/33
1 - 1/100 100 - 1
Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes
b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...
0.08
or 0.4 + 0.0888888888 ... or 0.4 + ------------
1 - 1/10
0.08 8
and this simplifies to 0.4 + ------------ = 0.4 + ---------
9/10 90
Evaluating this last result on a calculator results in 0.488888888 ...
c) 0.48 expressed as a fraction is 48/100 = 12/25
<span>Part
1: Jasmine
practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this
pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes
Part 2: Anthony
goes to the gym for 10 minutes on Monday. Every day he multiplies his
gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
</span>
here's the solution,
we know that, sum of <u>measures</u> of each interior angle of a <u>triangle</u> = <u>180°</u>
<u>F</u><u>igure</u><u> </u><u>1</u><u>.</u>
=》
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=》
<u>Figure</u><u> </u><u>2</u><u>.</u><u> </u>
=》
=》
=》
=》
=》
=》
<u>Figure</u><u> </u><u>3</u><u>.</u>
=》
=》
=》
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=》
=》
You need to know that:
1 ounce = 28.35 grams
So, 1 tube contains
3.0 oz × 28.35 = 85.05g total mass
Mass of Benzyl salicylate =
2.40/100 = Percentage of Benzyl salicylate (in numerical value)
= 0.024
0.024 × 84 = Mass of Benzyl Salicylate
=2.016g
If one tube contains
2.016g × 425 tubes
=856.8g
Then,
Converting into kg by (dividing by 1000)
=856.8 ÷ 1000
= 0.8568 grams
= 0.857g (3sf)
