If it takes the cold water faucet x minutes to fill 1 tub, then its flow rate is (1 tub)/(x min).
The hot water faucet takes 4 times as long, so its flow rate is (1 tub)/(4x min).
Together, the total flow rate is (1 tub)/(3 min), so we have
A credit card company offers a cash back program on transactions. For every transaction over $100 the customer gets $3 back. F
2 answers:
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Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
4) finally, the have together 10+25=35 doll-s.
Table 3 represents an arithmetic sequence.
Solution:
To find which table represents an arithmetic sequence:
In arithmetic sequence difference of each term is equal.
Table 1:
= –12 – (–6)
d = –6
= –24 – (–12)
d = –12
Here differences are not equal.
So table 1 not represents an arithmetic sequence.
Table 2:
= 9 – 7
d = 2
= 13 – 9
d = 4
Here differences are not equal.
So table 2 not represents an arithmetic sequence.
Table 3:
= 7.3 – 8.7
d = –1.4
= 5.9 – 7.3
d = –1.4
= 4.5 – 5.9
d = –1.4
= 3.1 – 4.5
d = –1.4
Here differences are equal.
So table 3 represents an arithmetic sequence.