10p and 14q or 2(5p + 7q)
13Q = 65 divide each side by 13. Q = 5 5Q + 7E = 375 (5*5) + 7E = 375 25 + 7E = 375 Take away 25 from each side 7E = 350 Divide by 7 E = 50
This problem can be solved by solving the system of equation. Total worth of coins: $2.65 Total number of coins: 33 n= number of nickels q= number of quarters since we know that there are 33 coins total, we can set the equation like this: number of nickels + number of quarters = total number of coins => n+q=33 We also know that the worth of these coins is $2.65. each nickel is worth of $0.05 each quarter is worth of $0.25 therefore we can set the equation: 0.05 x number of nickels + 0.25 x number of quarters = total worth of coins. 0.05n+0.25q=2.65 However, for convienience, we should multiply the equation above by 100 to get rid of decimals. Thus it is 5n+25q=265 you will now have a following set of 2 equations: n+q=33 5n+25q=265 Use the SUBSTITUTION METHOD to solve either n or q for solving n: (replace q with n if you're willing to solve q instead) n+q=33 => n=33-q (since n is equal to 33-q, we can -q -q substitue n in the other equation.) 5(33-q)+25q=265 => 165-5q+25q=265 => 20q=100 => q=5 -165 -165 /20 /20 There are 5 quareters as a result.(or 28 nickels) since you know that q=5 you can substitute q in the first equation. n+(5)=33 => n=28 - 5 -5 therefore, there are 5 quarters and 28 nickels. ELIMINATION METHOD: n x -5 + q x -5 = 33 x -5 => -5n-5q=-165 5n+25q=265 + 5n+25q=265 ------------- 20q=100 => q=5 /20 /20 Or simply we can say: if we have x quarters, we have .25x value of them. So the value of nickels will be 2.65 - .25x. Since we have 33 coins, and x quarters, then the number of nickels will be 33 - x. So the value of all nickels would be also .05(33 - x). Thus, we have:2.65 - .25x = .05(33 - x)2.65 - .25x = 1.65 - .05x2.65 - 1.65 - .25x + .25x = 1.65 - 1.65 - .05x + .25x1 = .20x1/.20 = .20x/.20x = 5 the number of quarters 33 - x= 33 - 5= 28 the number of nickels. Thus, we have 5 quarters and 28 nickels.
4p+7q
10Q (sound it out, tenkew, tankew, tank you, thank you )First ask what 5Q plus 5Q is to someone, they reply 10Q, Then you yell, YOU'RE WELCOME!!! and see if they get it.
7+5q = -3 5q = -3-7 5q =-10 q = -2
3q+4r-s+5q-6r+2s
7p+5q=-3, p=1 7Xp+5q=-3 7+5q=-3 5p=-10 p=-2
2(2p + 5q)
q=-4.
5q(2 - 5q)
5q-29 equals 21 5q equals 50 q = 5
3q + 5 + 2q + 5 = 65 5q + 10 = 65 5q = 55 q = 11 Check it. 33 + 5 + 22 + 5 = 65 It checks.
5q - 3.75 = 26.25 Therefore, 5q = 30 q = 30/5 q = 6
They are both Pathfinder. F7 is Enlisted, 5Q is officer.