Answer:
Step-by-step explanation:
Equivalent fractions for 1/4
From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.
The result of the log function 
is 60
According to the law of logarithm if 
then 
Given the following expressions
This can be expressed as
Substitute the value of m and n into the expression to have:
This shows that the result of the log function is 60
Learn more here: brainly.com/question/12049968
Combine the like terms
-x-x^2+7
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:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
Plug in the values
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
