Although the square root of 2 times the square root of 14 does equal the square root of 28, it is not simplified to the fullest extent. To simplify separate the square root of 28 into two factors, but make sure one is a perfect square. We can separate into 4 and 7, and since the square root of 4 is 2, we are left with 2* the square root of 7
The answer depends on whether you're looking for the x or the y. If y, the answers are the ones on the left, and the x on the right.
1) -4x + 3y ≤ 15 -4x + 3y <span>≤ 15
</span><span> +4x +4x -3y -3y
3y </span>≤ 4x + 15 -4x <span>≤ -3y + 15
</span><span> --- --------- ---- ------------
3 3 -4 -4
y </span>≤ 4/3x + 5 x <span>≥ 3/4y + 11
2) -6x - 4y </span>< 12 -6x - 4y < 12<span>
+6x +6x +4y +4y
-4y </span>< 6x +12 -6x < 4y + 12<span>
---- ---------- ---- -----------
-4 -4 -6 -6
y </span>> -3/2 - 3 x > -2/3y - 2
Answer:
she should have started off with 29
Step-by-step explanation:
simple 29-7=22
Total money before purchasing = $30
Cost of each song = $1.20
Solution:
According to the table,
No. of songs Amount
2 27.60
3 26.40
4 25.20
Difference between amount she have after bought 3 songs to 2 songs:
27.60 – 26.40 = 1.20
Difference between amount she have after bought 4 songs to 3 songs:
26.40 – 25.20 = 1.20
So, the cost of each song = $1.20
Amount of money she had after purchasing one song = $27.60 + $1.20
= $28.80
Tasha initially had before purchasing songs = $28.80 + $1.20
= $30
Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.
Answer: the best buy is 4-kilogram bag of lollipops for $18.40.
Step-by-step explanation:
To determine the best buy, we would find the cost per unit weight of each lollipop. The one with the lowest unit rate is the best buy.
1) 3- kilogram bag of lollipops for $17.29. The unit cost per kilogram is
17.29/3 = $5.76 per kilogram.
2) 4-kilogram bag of lollipops for $18.40. The unit cost per kilogram is
18.40/4 = $4.6 per kilogram.
3) 5-kilogram bag of lollipops for $24.40. The unit cost per kilogram is
24.4/5 = $4.88 per kilogram
4) 2-kilogram bag of lollipops for $14.88. The unit cost per kilogram is
14.88/2 = $7.44 per kilogram