Starting equation:
92=J+L+B
To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1
Enter those equations in the problem
92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L
Answer:
Lonnie has $11
Jane has $38
Bob has $43
side note: Lonnie is that one poor friend we all have
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
If it's mutiple choice can I see the options :) would make this easier
Find the least common denominator for each of these fractions then complete the equation until it equals 1.
Common factor is 30
u/5 = 6u/30
u/10 = 3u/30
-u/6 = -5u/30
6u/30 + 3u/30 - 5u/30 = 1
4u/30 = 1
4u = 30
u = 7.5
Answer:
x = 11
Step-by-step explanation:
The angle formed by two secants is half the difference of the intercepted arc angles.
m∠D = ½ (mBS − mCE)
60 = ½ (173 − (5x − 2))
120 = 173 − 5x + 2
5x = 55
x = 11
