1t + 3g + 0e = x
t=6
g=3
e=1
1(6) + 3(3) + 0(1) = x
6 + 9 + 0 = x
15 = x
He earned $14.30 more this week than last week.
Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2
Now we just have a simple equation to solve:
1/3x = 1/2
x = (1/2) / (1/3)
Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore
x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5
To check this answer, test the statement. Half is a third of x, where x=1.5:
1.5 / 3 = 0.5 = 1/2
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➷ (x + 2)(x + 1)
==> x^2 + x + 2x + 2
This can be simplified to give the answer of:
x^2 + 3x + 2
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Answer:
Age of q = 42 years
Step-by-step explanation:
Ratio of the ages of three people p, q and r is 6 : 7 : 11
Sum of the ages of p and r = 102 years
Age of p = ![\frac{6}{(6+11)}\times (102)](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%286%2B11%29%7D%5Ctimes%20%28102%29)
= 36 years
Therefore, age of r = 102 - 36
= 66 years
Since, ratio of p and q = 6 : 7
Therefore, ![\frac{\text{Age of p}}{\text{Age of q}}=\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAge%20of%20p%7D%7D%7B%5Ctext%7BAge%20of%20q%7D%7D%3D%5Cfrac%7B6%7D%7B7%7D)
![\frac{36}{q}=\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7Bq%7D%3D%5Cfrac%7B6%7D%7B7%7D)
q = ![\frac{36\times 7}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B36%5Ctimes%207%7D%7B6%7D)
q = 42 years