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rodikova [14]
3 years ago
9

Express 90 as a product of its prime number

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0
The prime factorization of 90 is 2*3^2*5

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. I. The graphs of all linear relationships are a line.
aksik [14]

Answer:

Step-by-step explanation:

The graph of a linear relationship consists of the x and y values. The y values are plotted on the vertical axis against the x values on the horizontal axis. A change in the values of x lead to a corresponding change in the value of y. The correct options are

. I. The graphs of all linear relationships are a line. They are sometimes called straight line graphs

III. The tables of all linear relationships have a constant rate of change. This represents the slope

The true statement is

I and III only

5 0
2 years ago
John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a
Rashid [163]

Answer:

John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be x hours.

And the job of landscaper be y hours.

So, the total hours John worked in a week:

x+y=60.

⇒ y=60-x.............( 1 )

<em>Now, the money earned by John in a week:</em>

8.50x+14y=691.50

<em>Putting the equation ( 1 ) in the place of y:</em>

⇒ 8.50x+14(60-x)=691.50

⇒ 8.50x+840-14x=691.50

<em>Moving variables on one side and the other we get:</em>

⇒ 840-691.50=14 x-8.50x

⇒148.50=5.50x

<em>Dividing both sides by 5.50 we get:</em>

⇒ 27=x

<u>As a security guard job he worked 27 hours</u><u>.</u>

Putting the value of in x equation ( 1 ) we get:

y=60-27

⇒ y=33.

<u>As a landscaper he worked 33 hours</u>.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.

5 0
3 years ago
This circle graph shows how Jimmy spent his time during the last 24 hours.
MariettaO [177]

Answer:

Excess time = 1.2 hour

Step-by-step explanation:

Given:

Total time = 24 hours

Talking on phone = 17 %

Sleeping = 33%

Going to school = 25%

Studying = 4%

Eating = 8%

Computation:

Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying -  Studying - Eating

Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%

Watching TV percent = 13%

Time taken by school = 24 x 25%

Time taken by school = 6 hour

Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)

Time taken by watching T.V. and Talking on the Phone = 7.2 hour

Excess time = 7.2 - 6

Excess time = 1.2 hour

3 0
3 years ago
Twenty reams of paper cost $47.20. How much does each ream of paper cost to the nearest cent?
Varvara68 [4.7K]
$2.36 i do believe nnnnnnnnnnnnnnn
8 0
3 years ago
Read 2 more answers
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation 7 If
Juliette [100K]

Answer:

The required constant of variation is 4 and the equation is y=4xz over w (over meaning a fraction)

I don't know if you need a explanation on how to do this, just let me know if so.

Step-by-step explanation:

7 0
2 years ago
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