Answer:
2.25
Step-by-step explanation:
because you have to divide 32 by 14 2/9 resulting in the the 14 2/9 to be 128/9 and then flipped, 9/128. Afterwards, cross out the the 32 and 128 since 32 is a factor of 128 to get 1 and 4.Then apply mutiplication 1/1 * 9/4= 9/4 or 2 1/4= 2.25
Answer:
1/4
Step-by-step explanation:
that is the answer
I found the constant which was -3
a = 1/4
b=-1
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
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Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) 4x - 3 = 2x + 7 collect like terms
4x - 2x = 7 + 3
2x = 10 divide both sides by the coefficient of x
x = 5
b) 2x + 6 = 7x - 14 collect like terms
2x - 7x = -14 - 6
-5x = -20 divide both sidess by the coefficient of x
x = 4
