Answer:
x = 5.09, -6.09.
Step-by-step explanation:
1/(x-2) - 1/(x+3) = 1/5
Multiply through by the LCM 5(x-2)(x+3):
5(x + 3) - 5(x - 2) = (x - 2)(x + 3)
5x + 15 - 5x + 10 = x^2 + x - 6
x^2 + x - 31 = 0
x = [ -1 +/- sqrt(1 - 1*1*31)] / 2
x = 5.09, -6.09.
Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
-1 1/4 as a decimal would be -1.25.
Since -1 is a whole number we would just write that as -1. 1/4 as a decimal is .25.
Answer:
the answer is -> D. - 2x + 6
Answer:
1) corresponding
3)corresponding,
5)alternate interior
Step-by-step explanation: