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Marizza181 [45]
2 years ago
6

If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how

Mathematics
1 answer:
jenyasd209 [6]2 years ago
5 0

Answer:

645/28 hours

Step-by-step explanation:

In 1 hour, Kamina does 1/43 of the job.

Simon takes x hour to do the job alone.

In 1 hour, Simon does 1/x of the job.

Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.

1/43 + 1/x = 1/15

15x/(645x) + 645/(645x) = 43x/(645x)

15x + 645 = 43x

28x = 645

x = 645/28

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6 0
2 years ago
How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and con
sladkih [1.3K]

65 sequences.

Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

0-1 and 0-1-1

Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

2x + 3y = 18

Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

Learn more about Sequences on:

brainly.com/question/12246947

#SPJ4

8 0
2 years ago
A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?
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You can pick a symbol, maybe m or z to be the symbol.
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Step-by-step explanation:

Given :

Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles

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Solution :

We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.

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