Answer:
8x+6y=48
x+y=7
multiply bottom equation by 6:
8x+6y=48
6x+6y=42
subtract equations:
2x=6
divide 6 by 2:
x=3
therefore:
y=4
Answer:
0.22
Step-by-step explanation:
22x + 11 = 4x - 7
22x - 4x = -7 + 11
18x = 4
x = 4/18
x = 0.22
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19x60=1140
19 containers of resin with 60 ml of hardener each so the total is 1140 ml of hardener.
4.
-3/4 - 2/3 ÷ (-4/5)
= -3/4 - [2/3 ÷ (-4/5)]
{switch the numerator and denominator when changing from ÷ to ×, or × to ÷}
= -3/4 - [2/3 × (-5/4)]
{numerator × numerator, and denominator × denominator}
= -3/4 - [-10/12]
= -3/4 + 10/12
= -9/12 + 10/12
= 1/12
5.
-2 2/5 + (-2 4/5) × 4/7
= -2 2/5 - (2 4/5 × 4/7)
= -12/5 - (14/5 × 4/7)
= -12/5 - (56/35)
{Simplify fraction to make denominators same}
= -12/5 - (8/5)
= -20/5
= -4/1
= -4
6.
-(-3/5) - 1 3/7 ÷ (-5/14)
{Negative signs cancelled out, fractions compounded}
= 3/5 - 10/7 ÷ (-5/14)
{Switch numerator and denominator when switch from ÷ to ×}
= 3/5 - [10/7 × (-14/5)]
= 3/5 - [-140/35]
= 3/5 + 20/5
= 23/5
{Simplify fraction}
= 4 3/5
Hope this helps! :) You may ask me for more help if you need
Answer:
351
Step-by-step explanation:
27C2 = 27! / 2! × (27-2)!
= 27×26×25! / 2×1 × 25!
= 27×26 /2
= 27×13
= 351
