The answer is: 16 portions .
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Method 1
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We divide the total kg of corn starch in the container: 0.454 kg
by the number of given amount in kg specified per each specified portion size: 0.028 kg ; to get the number of specific portion sizes in the container (the answer).
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So, 0.454 / 0.028 = ? portions
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Using a scientific calculator:
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0.454 / 0.028 = 16.214285714 ; and we round to TWO (2) significant figures → 16 portions.
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Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
The first 3 right to left or left to right
2 < 3x - 1 < 5 ....add 1 to all sections
2 + 1 < 3x - 1 + 1 < 5 + 1 ...simplify
3 < 3x < 6...now divide all sections by 3
3/3 < (3/3)x < 6/3...simplify
1 < x < 2 <===
but if u have trouble doing it this way, u can split it
2 < 3x - 1 3x - 1 < 5
2 + 1 < 3x 3x < 5 + 1
3 < 3x 3x < 6
3/3 < x x < 6/3
1 < x x < 2
now put them together.....1 < x < 2 <==
either way, u will get the same answer
If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.
The answer is C.
Here's the correct solution:
