X/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;
Answer:
3⋅f(−4)−3⋅g(−2) = −12f+6g
Step-by-step explanation:
Write the problem as a mathematical expression.
3⋅f(−4)−3⋅g(−2)
Move − 4 to the left of f .
3⋅(−4⋅f)−3⋅(g(−2) )
Multiply−4 by 3.
−12f−3⋅(g(−2) )
Move − 2 to the left of g .
−12f−3⋅(−2⋅g)
and lastly Multiply−2 by −3.
−12f+6g
Hope this helps you out.
1/2 is greater
1/2 = 0.5
3/8 = 0.375
The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
I can see your problem immediately . . . there's no question !
