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Mashutka [201]
3 years ago
13

Solve the system by linear combination. Show all your work. 9x+5y=35 -2x-5y=0

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

(5, - 2 )

Step-by-step explanation:

Given the 2 equations

9x + 5y = 35 → (1)

- 2x - 5y = 0 → (2)

Adding the 2 equations term by term will eliminate the y- term

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations for value of y

Substituting in (1) gives

9(5) + 5y = 35

45 + 5y = 35 ( subtract 45 from both sides )

5y = - 10 ( divide both sides by 5 )

y = - 2

Solution is (5, - 2 )

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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

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4 0
1 year ago
An item costs $76.49 and the tax is $5.74. What is the percentage of the tax for this item?
Alinara [238K]

Answer:8.11%

Step-by-step explanation:

Before Tax Price: $70.75

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3 0
3 years ago
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3.Solve the system of equations: X-4y=-22 x+4y=10​
laila [671]

Answer:

-0.5

Step-by-step explanation:

Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

goodluck!

6 0
2 years ago
Three more than four times a number is 15
vodka [1.7K]
You can model this with the equation 4x+3=15 since it is a number (x) times 4 with 3 added and equals 15.
Subtract 3 from both sides
4x=12
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7 0
3 years ago
Read 2 more answers
CHECK MY ANSWERS SOMEONE
Galina-37 [17]

Option A is correct.

Step-by-step explanation:

We need ti identify the radius of circle.

The radius of circle is a length of the line from center of the circle to anywhere on the edge of circle. It is also shown in the figure attached.

From the given options, only FE is the line that goes from center of circle to the edge of circle. So, FE is the radius of the circle.

So, Option A is correct.

Keyword: Radius of circle

Learn more about Radius of circle at:

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7 0
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