Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt
Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.
From the graph, we can write
Condition A :
Condition B :
Now, if she buys 4 gallons of milk, the the conditions become
Here, there will be no solution to these constraints.
Therefore, she does not have enough money left to buy any yogurt.
Thus, the correct option is (D).
What are Integers?
The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers consisting of the natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. For example, 65, 7, and −756 are integers; 1.6 and 1½ are not integers. In other terms, integers are the numbers one can count with items such as apples or fingers, and their negatives, including 0.
Just February...but each four years this month has 29 days.
Answer:
1. Area of the garden = 84 inch²
2. Diameter = 12 ft
Step-by-step explanation:
1 The area of the garden can be computed when you separate the composite shape into simpler ones. The shape can be separated into a trapezium and a rectangle.
The area of the garden will be the area of the rectangle plus the area of the trapezium.
area of rectangle = length × width
length = 10 inches
width = 5 inches
area of the rectangle = 10 × 5 = 50 inches²
Area of the trapezium = 1/2(a + b)h
a = 7 inch
b = 15 - 5 = 10 inch
h = 4 inch
area of the trapezium = 1/2 (7 + 10)4
area = 1/2(17)4
area = 68/2
area of the trapezium= 34 inch²
Area of the garden = 34 inch² + 50 inch² = 84 inch²
2. volume of a cylinder = πr²h
volume = 252π ft³
h = 7 ft
252π = π × r² × 7
252π = 7πr²
divide both sides by 7π
r² = 252π/7π
r² = 36
square root both sides
r = √36
r = 6 ft
Diameter = 2 × radius
Diameter = 2 × 6
Diameter = 12 ft