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Anuta_ua [19.1K]
3 years ago
13

What is the solution to x=1/2y-3 and y=2x+6

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2 so we don't have fractions.

x = 1/2y - 3 becomes 2x = y - 6

Now substitute the second equation into the y-value of the new equation

2x = (2x + 6) - 6

2x = 2x

x can equal anything. this means there are infinite solutions

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A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nea
Alborosie

The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

<h3>What is Speed ?</h3>

Speed is the distance covered by an object in a given amount of time.

It is measured in km/h or m/h.

According to the data in the question

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has 6600 lbs of fuel.

For the 30 minutes to remove the fisherman and the 1 hour more fuel is needed, that will consume

1.5 *1200 = 1800 lbs of fuel.

the helicopter now has

6600-1800

= 4800 lbs of fuel for flying.

This will give it 4 hours of flying time as

4800 lbs/1200 lbs per hour

it can only fly one way for 2 hours at 150 mph

= 300 miles distance from the station.

The boat is at 400 miles

boat needs to reach the meeting point 300 miles away from the station.

which is 100 miles from where it is now

100/10 = 10 hours

the boat will need 10 hours to go to the meeting point.

To meet the boat , which will take 10 hours the helicopter must start flying after 8 hours as it will also take 2 hrs

So 8 hours from 5:30 am will be 1:30 pm

The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

To know more about Speed

brainly.com/question/7359669

#SPJ1

4 0
2 years ago
What is 1/3 -2/3 I need help please
attashe74 [19]
The answer is -0.3 I think
7 0
3 years ago
Read 2 more answers
HELPPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
denpristay [2]

Answer:

answer is 9

Step-by-step explanation:

1st method: Proportion

15/100 = n/60

cross-multiply to get:

100n = 900

n = 900/100

n = 9

2nd method: Convert % to Decimal and Multiply

.15 × 60 = 9

8 0
3 years ago
Find the area of the regular octagon.
user100 [1]

Answer:

236.59mm²

Step-by-step explanation:

The formula for the area of a regular polygon is 1/2ap, with <em>a</em> being the apothem and <em>p</em> being the perimeter.

To start, get the perimeter by multiplying 7 (one side of the polygon) by 8 to get 56.

Next, we have to find the apothem (the perpendicular segment from the center of the polygon to one of the sides).

First, create a right triangle on an of the polygon's sides, where the hypotenuse is equal to the radius of the polygon, one of the legs is the apothem, and the other leg is equivalent to half of the side.

Next, using the polygon angle formula (n-2(360)/n), we can get the base angle of the triangle, 1/2(135), or 67.5.

We can use this angle and some trigonometry to find the the apothem.

First, use SOHCAHTOA to figure out if you will use sine, cosine, or tangent (in this case, tangent).

Next, set up an equation using the tangent of 67.5 to find the apothem - tan67.5 = a/3.

And set the equation equal to <em>a</em> (a = 3.5tan67.5).

Now that you have the apothem, plug it into the area formula to get A = 1/2(56)(3.5tan67.5) and solve!

(28)(3.5tan67.5)

(28)(8.4497)

236.59mm²

4 0
2 years ago
16) 472 students are going on a field trip. 120
Stels [109]

Answer:

C 44 cabins

Step-by-step explanation:

472-120= 352

8÷ 352 = 44

8 0
3 years ago
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