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3 years ago

What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10?

1 answer:

8 0

writing each one in prime factors:_
1
2
3
2 * 2
5
2 * 3
7
2* 2 * 2
3 * 3
2 * 5

so the smallest number ( the L.C.M) = 1*2*2*2*3*3*5*7 = 2520

The answer is 2520.

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Jeremy's car went 300 miles (highway) on 10 gallons of gasoline. What was the average number of miles per gallon?

masya89 [10]

Whenever you see the word "per" you can ALWAYS substitue in the word "divide". When you see "miles per gallon", change "per" into "divided by" to get miles divided by gallons. That is how you will solve the problem.

SO.....
300 miles ÷ 10 gallons = 30 miles per gallon

6 0

4 years ago

Read 2 more answers

Kerry worked 46 hours last week. His hourly rate is $9.60. He has the following deductions taken from his pay: federal income ta

KiRa [710]

Answer:

$341.96

Step-by-step explanation:

Assuming Kerry was not paid at an overtime rate for extra hours (despite his union affiliation), his gross pay is ...

(46 h)×($9.60/h) = $441.60

His percentage deductions add to 17.65%, so will have a dollar amount of ...

0.1765×$441.60 = $77.94

The dollar amount deductions total $21.70 in addition to his percentage deductions, so Kerry's net pay is ...

$441.60 -77.94 -21.70 = $341.96

4 0

3 years ago

soldi70 [24.7K]

we know that having similar triangles so the ratio of sides,area and volume are same.

$s/s=s^2/s^2$

we know that $s^2$ will be the area of triangle.

$s^2/s^2=75/12$

so $s/s=\sqrt{75/12}$

so the ratio of the perimeter of two triangles will be

$(s+s+s)/(s+s+s)=(\sqrt{75} +\sqrt{75} +\sqrt{75} )/(\sqrt{12}+\sqrt{12} +\sqrt{12} )$

ratio of the perimeter= $\sqrt{225} /\sqrt{36}$

8 0

3 years ago

Read 2 more answers

Heather, Shen, and Aldo served a total of 57 orders Monday at the school cafeteria. Shen served 2 times as many as Aldo. Aldo se

pishuonlain [190]

Answer:

Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

Step-by-step explanation:

Let S represent Shen, A, Aldo and H, Heather

Now, let's interpret the question

Shen served 2 times as many as Aldo, this gives:

S = 2A ...eq 1

Aldo served 7 more orders than Heater

A = 7 + H ... eq 2

Slot in the value of A in eq 1

Therefore,

S = 2 (7 + H)

Expand the bracket

S = 14 + 2H

Shen, Heather and Aldo served a total of 57 orders

S + A + H = 57

Slot in the values of S and A

(14 + 2H) + (7 + H) + H = 57

14 + 2H + 7 + H + H = 57

Collect like terms

14 + 7 + 2H + H + H = 57

21 + 4H = 57

4H = 57 - 21

4H = 36

H = 9

Substitute the value of eq 2

A = 7 + H

A = 7 + 9

A = 16

Substitute the value of A in eq 1

S = 2A

S = 2(16)

S = 32

Therefore, Shen served 32 orders, Aldo served 16 orders and Heather served 9 orders

5 0

3 years ago

Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesse

kow [346]

Answer:

No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.

Step-by-step explanation:

3 0

3 years ago