Your line is wrong from the start. But for the equation:
The best and most correct answer among the choices provided by your question is the second choice or letter B.
<span>Segment TX is the segment that would best represent the altitude of the parallelogram.</span>
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Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Answer: the box contained 9 square chocolates and 15 round chocolates.
Step-by-step explanation:
Let x represent the number of square chocolates contained in the box.
Let y represent the number of round chocolates contained in the box.
The box of chocolates contains square chocolates, which weigh 10g each and round chocolates which weigh 8g each. The combined weight of all the chocolates is 210g. It means that
10x + 8y = 210- - - - - - - - - - -1
The number of round chocolates is 3 less than twice the number of square chocolates. It means that
y = 2x - 3
Substituting y = 2x - 3 into equation 1, it becomes
10x + 8(2x - 3) = 210
10x + 16x - 24 = 210
26x = 210 + 24
26x = 234
x = 234/26
x = 9
y = 2x - 3 = 2 × 9 - 3
y = 18 - 3
y = 15
