Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
Answer:
11 people will get both the prizes.
Step-by-step explanation:
In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).
Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.
To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.
Therefore 11 persons out of 400 will get both the prizes.
Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.
And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.
In these divisions, consider just the quotient, here remainder is of no use.
Answer:
$29252.1669
Approximately $29252.1
Step-by-step explanation:
For Monday, Tuesday and Sunday:
=> 8.50 x 5 x 3
=> 8.5 x 15
=> 127.5
I multiplied 8.5 and 5 because you work for 5 hours. Then multiplied them with 3 it is for 3 days.
For Friday, Saturday, Thursday:
=> 8.5 x 6 x 3
=> 8.5 x 18
=> 153
I multiplied 8.5 and 6 because you work for 6 hours. Then multiplied them with 3 because it is for 3 days.
In 1 week you get:
=> 153 + 127.5
=> 280.5
In 1 year there are 52.1429 weeks.
So, you get:
=> 52.1429 x 280.5
=> 14626.08345
For 2 years, you get:
=> 14626.08345x 2
=> 29252.1669
=> Approximately $29252.1
