Answer: No it's not
Step-by-step explanation:
1/3 x 6/1 = 6/3
6/3 = 2
Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20
Answer:
= 29.82 yards/second
Step-by-step explanation:
The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)
61 miles per hour
(61 miles) / (1 hour)
(61 miles)/(1 hour)*1
((61 miles)/(1 hour))*((5280 feet)/(1 mile))
((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))
note: miles, feet, hours, minutes cancel out; leaving yards per second
(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)
1 centimetre=0.1 decimetre
therefore the answer is 2.5 decimetres.
