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2 years ago

Solve the system of equations using elimination 2x + y = 5 -1x + y = 2

Mathematics

1 answer:

telo118 [61]2 years ago

3 0

Answer:

(1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 5 → (1)

- x + y = 2 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides

y = 5 - 2x → (3)

Substitute y = 5 - 2x into (2)

- x + 5 - 2x = 2

- 3x + 5 = 2 ( subtract 5 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 2(1) = 5 - 2 = 3

solution is (1, 3 )

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elixir [45]

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

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2 years ago

The distance on a map between the entrance of the park in waterfall inside the park is 4 1/2 inches if 3 inches is 2 1/2 miles w

aleksandrvk [35]

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3 years ago

Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.

murzikaleks [220]

Answer:

Step-by-step explanation:

Steps to answering this question

determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

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2 years ago

The diameter of a cookie is 2 inches. If π = 3.14, what is the area of the cookie, rounded to the nearest tenth?

insens350 [35]

Answer:

3.1 inches

Step-by-step explanation:

Area of the cookie =Pi r^2

Pi = 3.14

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Area = 3.14 x 1^2

= 3.14 x 1 x 1

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2 years ago

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Ivahew [28]

The answer to that is 25 so the answer is b

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