Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 2
Putting y=3.5 in Eqn 1
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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The answer seems to be D!!
Answer: x=8
Step-by-step explanation:
Distribute 5(x) and 5(-2)
-12 + 6x = 6 + 5x + (-10) OR 5x - 10
Flip if you'd like
6x - 12 = 6 + 5x - 10
Combine like terms
6x−12=(5x)+(6+−10)
6x - 12 = 5x - 4
Subtract 5x from both 6 and 5
6x - 5x = 5x - 5x
5x cancels out, so you're left with x, 12, and -4
x - 12 = -4
Add 12 to 12 and -4
12 + 12 = -4 + 12
12 cancels out
-4 + 12 = 8
x = 8
Answer: In step 1, Andrew used the commutative property
Explanation:
In step 1 he used commutative, which is a + b = b + a
(- 5.7 + 2.2) = 2.2 + (- 5.7)
Step 2, he used associative property, not the distributive.
Step 3, he just added5.7 + 1.1 = 6.8
Step 4, he distributed the negative sign:
- (6.8) = - 6.8
