Solution:
Given that
G being the midpoint of FH implies
Additionally, we have
Hence, we can express
Therefore,
Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100\,
1 answer:
Answer:
Michael purchases 60 kg of dark chocolate alongside 40 kg of milk chocolate.
Step-by-step explanation:
Let d signify the kilograms of dark chocolate bought by Michael and m signify the kilograms of milk chocolate he acquires.
He must acquire a total of 100 kg of chocolate, thus
With dark chocolate priced at $12 per kg, the cost for d kg would be $12d. The price of milk chocolate is $10 per kg, indicating the cost for m kg is $10m. Michael intends to spend $1,120 on the chocolate, therefore
Taking the first equation
By inserting this into the second equation:
Michael ends up buying 60 kg of dark chocolate and 40 kg of milk chocolate.
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The answer is: Option 'B' is the right choice.
Detailed breakdown:
Her annual income totals $14,700
Her monthly earnings would then be
She desires to buy new items after covering her expenses and saving for her college education.
Based on the provided options:
Only Budgets B and D appear to reflect the correct monthly income, which is $1,225.
In Budget B,
The total savings amount to $400
In Budget D,
The total savings also amount to $400
Thus, Budget B is optimal for achieving her objectives.
As a result, Option 'B' is the correct choice.
Part A
To identify the values of x that make 2x−1 positive
⇒ 2x - 1 > 0
⇒ 2x > 1
⇒ x >
Part B
To find values of y making 21−37 negative
⇒ 21-3y < 0
⇒ 21 < 3y
⇒ 7 < y
Thus, for all y values exceeding 7, the expression 21-3y is negative
Part C
To identify values of c that digit 5−3c greater than 80
⇒ 5-3c > 80
⇒ -3c > 75
⇒ -c > 25
⇒ c < -25
Therefore, for values of c less than -25, the expression 5-3c surpasses 80