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DerKrebs [107]
3 years ago
6

a computer expert can do a job on the computer in 6 hours. His secretary can do the same job in 7 hours. After the expert works

on the job for 2 hours, his secretary takes over and completes the job. How many hours did it take her to complete the job?
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

4 + 2/3 hours

Step-by-step explanation:

For the expert,

6 hours = 1 job

For the secretary,

7 hours = 1 job

We want to figure out how much the expert gets done in 2 hours.

2 hours = x jobs for the expert.

To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get

6 hours * 2/6 = 1 job * 2/6

2 hours = 2/6 jobs

Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job

We know

7 hours = 1 job

and want to figure out

y hours = 4/6 jobs

We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get

7 hours * 4/6 = 1 job * 4/6

28 /6 hours = 4/6 jobs

= 4 + 4/6 hours

= 4 + 2/3 hours

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koban [17]

Answer:

-33

Step-by-step explanation:

2/3 (x + 6) = - 18

Multiply by 3/2 on each side

3/2 *2/3 (x + 6) = - 18*3/2

x+6 = -27

Subtract 6 from each side

x+6-6 = -27-6

x = -33

7 0
3 years ago
Read 2 more answers
(4x + 5)
zavuch27 [327]

Answer:

<A = 133degrees

Step-by-step explanation:

Find the diagram attached

Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;

m<A + m<C = 180

4x+5 + x + 15 = 180

4x+x+5+15 = 180

5x+20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32degrees

Get the measure of angle A

<A = 4x+5

<A  = 4(32)+5

<A = 128+5

<A = 133degrees

7 0
3 years ago
Prime factorization of 15​
VLD [36.1K]

Answer: 3 x 5

Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches. Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. So we write 3 and 5 at the bottom of the branches.

While 1 and 15 are also factors, we don't use them in out factor tree. That's because when finding the prime factorization, we always use numbers other than 1 and the number itself.

Next, we circle any prime factors in the factor tree. Since both 3 and 5 are prime, we circle both 3 and 5. Since we have circles at the bottom of all of our branches, we are finished.

So the prime factorization of 15 is 3 x 5.

Notice that we write our prime factorization as a multiplication problem. Think of the prime factorization of a number as the prime factors of the number that you multiply together to get the original number.

3 0
3 years ago
Two friends, Caleb and Ynez are both selling brownies for a class
Anuta_ua [19.1K]

Answer:

B. 1.25n = c

Step-by-step explanation:

Take one of the points. 20 and $16.

It will look like this 20/16n = c

20/16 = 1.25

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Hope this helps ya! Keep smiling!

3 0
3 years ago
brandy took 3 friends out for dinner. the cost of the meals was 46.50 . she left a 20% tip. what was the total cost including th
Vedmedyk [2.9K]

Answer:

The total cost of the meal including tip is $55.80.


Step-by-step explanation:

Cost of the meal = $46.50

tip = 20%

total cost = ?


Finding the tip cost:

20% of cost of the meal is equal to the tip cost.

20% of 46.50

(% = 1/100 and of means multiplication)

20/100 * 46.50

930/100

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20% tip = $9.30


Finding total cost:

Cost of the meal + tip

46.50 + 9.30

55.80

The total cost of the meal including tip is $55.80.


7 0
3 years ago
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