Answer:
A = 76.85
B =65.28
Step-by-step explanation:
(30/100)A = 10 + (20/100)B
0.3A - 0.2B = 10 ...... equation (i)
(30/100)B + 35 = (20/100)A
0.2A - 0.3B = 35 ........ equation (ii)
From equation (i)
0.3A = 10 - 0.2B
A = (10 - 0.2b) / 0.3
A = 33.33 - 0.67B ........equation (iii)
Put equation (iii) into equation (ii)
0.2(33.33 - 0.67B) - 0.3B = 35
6.67 - 0.134B - 0.3B = 35
0.434B = 35 - 6.67
B = 28.33 / 0.434
B = 65. 275 = 65.28
Put B = 65.28 into equation (i)
0.3A - 0.2B = 10
0.3A - 0.2(65.28) = 10
0.3A - 13.056 = 10
0.3A = 10 + 13.056
A = 23.056/ 0.3
A = 76.85
Divide 560 by 23, 23 goes into 560 24.347 times.
The system of inequalities can model Gabrielle’s situation is;
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
<h3>Inequality</h3>
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows;
- batches of brownies = x
- batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
Cookie:
Sugar = 3 cups
Eggs = 2
x + 2y ≤ 20
x + 2y ≤ 203x + 2y ≤ 21
Learn more about inequality:
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Answer:
C
Step-by-step explanation:
<span>The numbers 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97 are prime.</span>
