Answer:
Step-by-step explanation:
Given
Points (2,3) and (-3,8)
Required
Determine the gradient
Gradient (m) is calculated by dividing the change in y values by the change in x values.
i.e.
Where:
becomes
<em>Hence, the gradient is -1</em>
Answer:
Option D. 5890.5 feet²
Step-by-step explanation:
An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.
Yard has three sprinkler heads that each cover circular area with no overlap.
We have to calculate the approximate area watered by these 3 sprinkler heads.
Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²
Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²
which matches the approximate value of Option D. 5890.5 feet²
Answer:
Greatest number of flowers that can be used in a bouquet is 8.
Step-by-step explanation:
In this question greatest number of flowers used in a bouquet will be decided by the "Greatest Common Factor" of the numbers of the flowers given.
So, factors of 16 = 1×2×2×2×2
Factors of 8 = 1×2×2×2
Factors of 32 = 1×2×2×2×2×2
Common factors = 1×2×2×2
Greatest Common Factor of these numbers will be = 1×2×2×2 = 8.
Therefore, greatest number of flowers that could be in a bouquet is 8.
Answer: The absolute advantage in laundry is held by Steve while the comparative advantage in meal preparation is held by Mike.
Step-by-step explanation:
Absolute advantage is when an individual, firm or country can produce a good or service at a lower cost when compared to the other economic agent. When someone has absolute advantage, it means that the person uses fewer resources and spends less time in producing the good. Based on the explanation, Steve has absolute advantage in laundry since he spends two hours compared to Mike who uses 3hours.
Comparative advantage is when an individual, firm or government can produce a good or service with a lower opportunity cost when compared to the other person. Mike has a comparative advantage in the preparation of meal. It'll be better for Steve to focus his attention on laundry while Mike does the meal.
We'll let x represent the weight of Ian's dog.
So we can make the formula Ian's dog (x) + Stephen' dog (5x) = 72
So:
x+5x=72
6x=72
x=12
So ian's dog is 12 pounds, but we're trying to find stephen's dog (5x)
We need to multiply x by 5 so:
5(12)=60
Therefore, Stephen's dog is 60 pounds
