Answer: lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
Answer:
42x-27
Step-by-step explanation:
7(6x-4)+1 is your original expression. Distribute to get 42x - 28 + 1. Combine like terms and add 1 to -28, which is -27. So, 42x-27 is your answer.
Answer:
x = 7
T(7, 3)
Step-by-step explanation:
The slope of the line is the same everywhere, so the ratio of y-differences to x-differences is constant.
Differences between R and S:
S -R = (-1, -1) -(-5, -3) = (-1+5, -1+3) = (4, 2)
T -R = (x, 3) -(-5, -3) = (x+5, 3+3) = (x+5, 6)
Then the ratios of y-differences to x-differences are ...
2/4 = 6/(x+5)
2(x+5) = 4(6) . . . . cross multiply
2x +10 = 24 . . . . . simplify
2x = 14 . . . . . . . . subtract 10
x = 7 . . . . . . . . . . divide by 2
Point T is (7, 3). . . . . . . . (x=7)
Answer:
0.375
Step-by-step explanation: