Together it would take 3 hours.
Team A can wrap all gifts in 7 hours; thus they can wrap 1/7 of the gifts in 1 hour.
Team B can wrap all gifts in 5 hours; thus they can wrap 1/5 of the gifts in 1 hour.
1/7h + 1/5h = 1, where h is the number of hours; it equals 1 because it is 100% of the gifts;
Find a common denominator. 35 is the first thing 7 and 5 will both divide into. Convert the fractions:
5/35h + 7/35h = 1
12/35h = 1
Divide both sides by 12/35:
12/35h ÷ 12/35 = 1 ÷ 12/35
h = 1/1 ÷ 12/35
h = 1/1 × 35/12
h = 35/12
h = 2.9
h ≈ 3
Answer:
x = (e^4 -2)/3
x≈17.533
Step-by-step explanation:
ln(3x+2)=4
raise each side to e
e^ ln(3x+2) = e^4
3x+2 = e^4
subtract 2 from each side
3x = e^4 -2
divide by 3
x = (e^4 -2)/3
putting this in a calculator
x≈17.533
. Lisa's dog has 4 squeaky toys
. the squeaky toys are 2/3 of all the dog's toys
. let <em>x</em> be number of all dog toys
<em>make an equation</em>
(2/3)<em>x</em> = 4 <em>← solve</em>
x=6
<em>check</em>
2/3 × 6 = 4
<u>Lisa's Dog has 6 toys in all</u>
Answer:
- 3
- 7
- 7
Step-by-step explanation:
1. In 2 draws, you can get one of each, so a minimum of 3 draws will guarantee at least 2 of one color.
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2. A minimum of 3 socks must be drawn to ensure one pair. A minimum of 2 must be drawn to ensure an additional pair. For three pairs, 7 socks must be drawn.
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3. The first 5 balls drawn could be white, so an additional 2 must be drawn to ensure 2 red balls. To be sure of 2 red balls, 7 balls must be drawn.
