Answer:
23) y=3x-7, 3x-y=7
24) y=-6x+9, 6x-y=9
25) y=1/4x+11, x-4y=-44
26) y=-1/2x+4, x+2y=8
Step-by-step explanation:
Answer:
Friday: 300 dollars
Step-by-step explanation:
Let Omar's pay on Friday = x
Friday: x
Saturday: 1/4 x was spent.
Sunday: 2/3 *(x - (1/4)x ) = 2/3 * (3/4x) = (2*3/(3*4)x = (6/12)x = 1/2x
Dinner: 15 dollars
Remainder = 20% x = 20/100 x = 0.2x
x - (1/4x + 1/2(x) + 15) = 0.2x Combine like terms on the left
x - (3/4x + 15) = 0.2x Remove the brackets
x - (3/4)x - 15 = 0.2x Combine like terms on the left
(1/4)x - 15 = 0.2x Change 1/4 to a decimal
0.25x - 15 = 0.2x Subtract 0.25x from both sides
0.25x - 0.25x - 15 = 0.2x - 0.25x Combine
- 15 = - 0.05x Divide by - 0.05
-15 /-0.05 = - 0.05 x/ 0.05
300 = x
The technique of matrix isolation involves condensing the substance to be studied with a large excess of inert gas (usually argon or nitrogen) at low temperature to form a rigid solid (the matrix). The early development of matrix isolation spectroscopy was directed primarily to the study of unstable molecules and free radicals. The ability to stabilise reactive species by trapping them in a rigid cage, thus inhibiting intermolecular interaction, is an important feature of matrix isolation. The low temperatures (typically 4-20K) also prevent the occurrence of any process with an activation energy of more than a few kJ mol-1. Apart from the stabilisation of reactive species, matrix isolation affords a number of advantages over more conventional spectroscopic techniques. The isolation of monomelic solute molecules in an inert environment reduces intermolecular interactions, resulting in a sharpening of the solute absorption compared with other condensed phases. The effect is, of course, particularly dramatic for substances that engage in hydrogen bonding. Although the technique was developed to inhibit intermolecular interactions, it has also proved of great value in studying these interactions in molecular complexes formed in matrices at higher concentrations than those required for true isolation.
Answer:
2) -2/3
4) 17/5
Step-by-step explanation:
2)-4/3= 2g
-4=6g
g=-2/3
4) 9=5r - 8
-5r=-17
r=17/5
(new -original)/original * 100
(36-20)/20 * 100
16/20 * 100
.8*100
80
80% increase
