Dimensional Analysis is the way you want to go
Answer:
There are 32 dogs and 72 animals in total.
Step-by-step explanation:
In order to find the amount of dogs, you need to set up an equation to solve for the missing variable. Let 'c' be the amount of cats and 'd' be the amount of dogs. We know that there are 40 cats, so c = 40. We also know that there are 25% more cats than dogs, so we can form an equation to express this difference: 1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%. Since we know c = 40, we can set our second equation equal to 40: 1.25d = 40. Using inverse operations, we divide both sides by 1.25 to get d = 32. So, d + c, or 32 + 40 = 72 total animals.
Answer:
The slope of the line is 3 ---> m = 3
Step-by-step explanation:
To find the slope of the line, you can choose any two given points from the table. Let's do (1, 3) and (2, 6)
Slope formula:
m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / (2 - 1)
m = 3 / 1
m = 3
Answer:
The Great Ocean Conveyor Belt
Step-by-step explanation:
The ocean is not a still body of water. There is constant motion in the ocean in the form of a global ocean conveyor belt. This motion is caused by a combination of thermohaline currents (thermo = temperature; haline = salinity) in the deep ocean and wind-driven currents on the surface. Cold, salty water is dense and sinks to the bottom of the ocean while warm water is less dense and remains on the surface.
The ocean conveyor gets its “start” in the Norwegian Sea, where warm water from the Gulf Stream heats the atmosphere in the cold northern latitudes. This loss of heat to the atmosphere makes the water cooler and denser, causing it to sink to the bottom of the ocean. As more warm water is transported north, the cooler water sinks and moves south to make room for the incoming warm water. This cold bottom water flows south of the equator all the way down to Antarctica. Eventually, the cold bottom waters returns to the surface through mixing and wind-driven upwelling, continuing the conveyor belt that encircles the globe.
The answer is a. 1/7
The length of QR is 3 sqrt(2) which means half of that is where the median intersects. Since the triangle formed is a right triangle with legs that are equal. The vertex angles are 45°, we can get the coordinates of the point of intersection which is (4.5,3.5).
So,
m (slope) = (3.5-3)/(4.5-1) = 1/7
