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1 year ago

Unit 6.6, Lesson 9: Practice Problems

Mathematics

1 answer:

7nadin3 [17]1 year ago

8 0

Answer:

the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons

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The probability of event A occurring is 3/5, while the probability of event B occurring is 2/7. If the probability of events A a

Harman [31]

Answer:

I think they are independent

Step-by-step explanation:

7 0

3 years ago

Neil has 3 partially full cans of white paint. They cantain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain

Marianna [84]

Answer:

1 1/30 gallons, or 31/30 gallons of paint

Step-by-step explanation:

Before these fractions can be added together they have to have a common denominator. The Least Common Multiple of 2, 3, and 5 is 30, so

1/3 = 10/30 1/5 = 6/30 1/2 = 15/30

10/30 + 6/30 + 15/30 = 31/30, or 1 1/30

6 0

3 years ago

In 2010, the population of Kingsford was 8000. By 2014 the population had increased by 15% and 2/5 of the population was age 12

Anastasy [175]

<h2>Hello!</h2>

The answer is: The population age 12 or under was 3680.

If in 2010 the population of Kignsford was 8000, and by 2014 the population had increased by 15% we need to calculate the total population and then, calculate how many people was age 12 or under.

We must remember that we cannot work with percentage values, so, to make 15% a real number, we need to divide it by 100:

$15(Percentage)=\frac{15}{100}=0.15$

So,

Calculating the population by 2014, we have:

$Population_{2014}=Population_{2010}+ Population_{2010}*0.15$

Then, substituting we have:

$Population_{2014}=8000+ 8000*0.15=9200$

Now, calculating the population that was age 12 or under, knowing that it was 2/5 of the total population, we have:

$Population=TotalPopulation*\frac{2}{5}\\\\Population=9200*\frac{2}{5}=3680$

So, the population age 12 or under was 3680.

Have a nice day!

6 0

3 years ago

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place

Rashid [163]

Step-by-step explanation:

<em>I think you have forgotten to attach the question. </em>

<em>Anyways....</em>

In order to find the area of a circle use the formula:

π $r^{2}$ Where r is the radius

For example the radius is 3cm. The area of the circle will be:

π × $3^{2}$

Since you have taken pi as 3.142...

3.142 × $3^{2}$

3.142 × 9

= 28.278

In order to find the answer to 1 decimal place, check the number next to the number right after the decimal. Is it a number greater than or equal to 5? then add +1 to the number.

= 28.3 $cm^{2}$

8 0

2 years ago

Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used

jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.

Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

Then, according to the question, we have

$x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.$

Multiplying first equation by 4 and subtracting the second equation from it, we have

$4y-3y=220-195\\\\\Rightarrow y=25,$

and

$x=55-25=30.$

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0

2 years ago