B. 5.4 km
C. 81.41 km
D. 760.8 km
57
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The
bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can
only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y = 40
100x + 2y = 3
x + y = 40
100x + 40y > 100
3x + 2y = 40
3x + 2y > 100
x + y = 40
Answer:
2x + 3y > 100
x + y = 40
Step-by-step explanation:
This is the answer because it shows the price of each and the combined products equaling more than 100 dollars, and the bottom one shows that the combined total of jewelry can not exceed 40 pieces.
The inequalities that represent Kate's situation are 2x + 3y > 100 and x + y ≤ 40.
In this situation, we can use the inequalities 2x + 3y > 100 and x + y ≤ 40 to represent Kate's goal of making at least $100 and making up to 40 pieces of jewelry. The inequality 2x + 3y > 100 ensures that the total cost of the bracelets and earrings is greater than $100, and the inequality x + y ≤ 40 guarantees that the total number of jewelry pieces is not more than 40.
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• Units for each type of measure and why the units are different
• Examples of when you would want to measure for each type of measure.
The correct answer is 370. A system of equations can be used, where h represents the number of calories in a hamburger and f represents the number of calories in an order of fries. The equation 2 h plus 3 f equals 1,700 represents the fact that 2 hamburgers and 3 orders of fries contain a total of 1700 calories, and the equation h equals f plus 50 represents the fact that one hamburger contains 50 more calories than an order of fries. Substituting f plus 50 for h in 2 h plus 3 f equals 1,700 gives 2, parenthesis, f plus 50, close parenthesis, plus 3 f, equals 1,700. This equation can be solved as follows:
2 f plus 100 plus 3 f equals 1,700
5 f plus 100 equals 1,700
5 f equals 1,600
f equals 320
The number of calories in an order of fries is 320, so the number of calories in a hamburger is 50 more than 320, or 370.