Answer:
OPTION A: 3x - 1 = ± 5
Step-by-step explanation:
We have (3x - 1)² = 25
In OPTION A, Square root is taken on both sides.
This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.
IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.
In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.
In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.
Therefore, the correct option is A.
1.875 because ⅜ or 5 is 1.87 or 1.9 if you round it.
Answer:
5 7/20
Step-by-step explanation:
-3 4/5+9 7/10-11/20
=-19/5+9 7/10- 11/20
=-19/5+97/10-11/20
=59/-11/20
=107/20
=5 7/20
Rewriting this <span>7-y=5x+11 in standard form involves only changing the order in which the terms appear:
</span><span>7-y=5x+11 becomes 5x + y + 11 - 7 = 0, or 5x + y + 4 = 0, or 5x + y = -4.</span>
Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q
Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters.
p + d + p = 43 (1)
p = d (2)
p +10d +25q = 451 (3)
Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.
Put the results of 2 into 1.
2p + q = 43 (4)
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q = 451 (5)
Solve the new equations
2p + q = 43 (4)
11p + 25q = 451 (5)
Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075 (6) Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624 Divide by 39
p = 624 / 39
p = 16
Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11
Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275 = ?
451 = ?
Nice problem. Thanks for posting.
