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Lelechka [254]
3 years ago
9

Solve the following system of equations:

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
We have that
<span>6x – 3y + 10 = 0 ----->equation 1
2x + y + 9 = 0-------> multiply by 3------> 6x+3y+27=0----> equation 2
</span><span>add equations 1 and 2
</span>
6x – 3y + 10 = 0 
6x+3y+27=0
----------------------
12x+37=0---------> 12x=-37-------> x=-37/12
substitute the value of x in the equation 1
6*(-37/12)-3y+10=0-----> -18.5-3y+10=0----> 3y=-8.5----> y=-8.5/3
x=-37/12-----> x=-3.08
y=--2.83

the answer is
x=-3.08
y=-2.83

see the attached figure

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QUICK!!! TAKING A TEST RN!!! 30 POINTS!!!A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a nu
Citrus2011 [14]

Hey there!!

Let's take 'h' as the number of hours.

The volume already present is "22" gallons.

Hence, this would become the y-intercept.

... ( 0 , 22 )

... The slope would be 26

Hence, y would be 516 and m would be 26 and x would be h.

Slope-intercept form :-

y = mx + b

( m is the slope and b is the y-intercept )

... 516 = 26h + 22

... 516 - 22 = 26h

... 494 = 26h

... h = 494 / 26

... h = 19

<em>Hence, the number of hours would be 19. </em>

Hope my answer helps!

6 0
3 years ago
Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
borishaifa [10]

Answer:

Biotic, Abiotic

Step-by-step explanation:

Interconnected pathways through which water is recycled through the biotic and abiotic components of the biosphere.

The water cycle is driven by the Sun’s energy. The sun warms the ocean surface and other surface water, causing liquid water to evaporate and ice to sublime—turn directly from a solid to a gas. These sun-driven processes move water into the atmosphere in the form of water vapor.

Over time, water vapor in the atmosphere condenses into clouds and eventually falls as precipitation, rain or snow. When precipitation reaches Earth's surface, it has a few options: it may evaporate again, flow over the surface, or percolate—sink down—into the ground.

In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

Water in the upper levels of the soil can be taken up by plant roots. Plants use some of the water for their own metabolism, and water that's in plant tissues can find its way into animals’ bodies when the plants get eaten. However, most of the water that enters a plant's body will be lost back to the atmosphere in a process called transpiration.

4 0
3 years ago
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ra1l [238]

Answer:

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Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0
3 years ago
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Can someone solve this for me please?
Ksivusya [100]
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3 years ago
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Damm [24]
Input is domain and output is co-domain.
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3 years ago
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