Answer:
Apple = $0.6
Banana = $0.75
Step-by-step explanation:
Let us represent Apple by A and Banana by B
For Joe,
5A + 4B = 6 (1)
For Dawn
3A + 6B = 6.3 (2)
To eliminate A, Multiply equation (1) by 3 and equation (2) by 5
15A + 12B = 18 (3)
15A + 30B = 31.5 (4)
subtracting equation (4) from (3)
15A - 15A +12B - 30B = 18 - 31.5
-18B = -13.5
divide through by -18
-18B/-18 = -13.5/-18
B = 0.75
substitute 0.75 in equation (1)
5A + 4B = 6
5A + 4(0.75) = 6
5A + 3 = 6
subtract 3 from both sides
5A + 3 - 3 = 6 - 3
5A = 3
divide through by 5
5A/5 = 3/5
A = 0.6
Answer: 36
Step-by-step explanation:
42 divided 7/6 = 42 multiplied by 6/7; 42 x 6 = 252/ 7 = 36
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
To be honest there are lots of different reasons. You might want to try and talk to him to let him now how he is making you feel.
