<span>x = Joe's age and </span><span>y = James's age
</span><span>Joe is 10 years older than James - equation - x = y + 10
</span><span>In 8 years twice Joe's age will equal three times James's age - equation -
2(x+8) = 3(y+8)
</span>
<span>2(x+8) = 3(y+8) </span>
<span>2(y + 10 +8) = 3(y+8) { substitute y + 10 for x </span>
<span>2(y + 18) = 3(y + 8) </span>
<span>2y + 36 = 3y + 24 </span>
<span>12 = y </span>
<span>Joe is 22 and James is 12.</span>
Answer:
0.09
Step-by-step explanation:
First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.
The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:
1/10(9/10)
To multiply fractions, multiply the numerators and multiply the denominators:
1/10(9/10) = (1*9)/(10*10) = 9/100
Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.
414 is 92% of 450
Therfore, when you subtract 100 - 92
It equals 8
8% is the answer.
Answer:
33 students
Step-by-step explanation:
ratio = 6 : 5
if there are 3 more girl that boy
ratio 1 equal 3.
total ratio
6 + 5 = 11
total number of students
11 × 3 = 33
Option A: -24 is the coefficient of i
Explanation:
The expression is 
To determine the coefficient of i, first we shall find the square of the binomial for the expression
The formula to find the square of the binomial for this expression is given by
where 
and 
Substituting this value and expanding, we get,
Simplifying the terms, we have,
Thus, from the above expression the coefficient of i is determined as -24.
Hence, Option A is the correct answer.
