So 1/12 of all dogs are in hound
of the hound gropu, 3/10 is english foxhounds
find what fraciton of all adogs are english foxhounds
so 3/10 of 1/12
in math 'of' means multiply with fractions so
3/10 times 1/12=(3 times 1)/(10 times 12)=3/120=1/40
1/40 of the dogs were english foxhounds
Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:

This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:

Now note we have the exact same expression up and down, thus simplifying:

Answer: 1/4
The solution of the equation is 
Step-by-step explanation:
To simplify an equation of x
- Simplify each side of the equation
- Collect x in side and the numerical terms in the other side
- Find the value of x
∵ The equation is 
- Multiply all terms of the equation by 4 to cancel the denominator
of the 2nd term in the left hand side
∵ The equation is 
∴ 8x + (1 - x) = 12
∴ 8x + 1 - x = 12
- Add like terms
∴ (8x - x) + 1 = 12
∴ 7x + 1 = 12
- Subtract 1 from both sides
∴ 7x = 11
- Divide both sides by 7
∴ 
The solution of the equation is 
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Answer:
24,150
Step-by-step explanation:
Given that :
Salary earned this year = 23,000
Percentage Raise in salary for the new year = 5%
The new yearly salary can be obtained thus ;
(100% + percentage raise in salary) * salary earned this year
(100% + 5%) * 23,000
105% * 23000
1.05 * 23000
24,150