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3 years ago

Which ordered pair is a solution to the system of equations?

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

Answer:

(-2, -3)

Step-by-step explanation:

We assume your system of equations is ...

2x - y = -1
2x -4y = 8

You can subtract the second equation from the first to get

... (2x -y) -(2x -4y) = (-1) -(8)

... 3y = -9 . . . . . collect terms

... y = -3 . . . . . . divide by 3 . . . . this is sufficient to identify the correct answer

Substituting into the first equation, we have ...

... 2x -(-3) = -1

... 2x = -4 . . . . . add -3

... x = -2 . . . . . . .divide by 2

Now, we're sure the answer is (x, y) = (-2, -3).

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Find each unit price. Which is the better by? Explain please.

Luda [366]

1.49/3

0.5 dollars per feet.

This is a fraction equal to 1.49/3.

We want a unit rate where 1 is the denominator, so we divide the top and bottom by 3.

The answer is 0.49666667, which can be rounded to 0.5

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3 years ago

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48. Line h passes through the point (4, 12) and is parallel to line k.

Misha Larkins [42]

Answer: y = 3/4 x + 8

Step-by-step explanation: First you must find the slope of line k.

y2 - y1

m = ----------- The slope is 3/4

x2 - x1

Since the two lines are paralell you know that line h has the same slope.

Next you must find the y-intercept by replacing x and y with the values given by the point.

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The y-intercept is 8

Your equation for line h is y = 3/4 x +8

Hope this was helpful!

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2 years ago

A recipe calls for 40 ounces of meat. How many pounds of meat does the recipe require?

I am Lyosha [343]

Answer:

2.5 pounds of meat

Step-by-step explanation:

One pound of meat is equal to 16 OZ

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2 years ago

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Mrs. Kelly creates a garden. She buys 15 flowers and 3 bushes for a total cost of $160.32. Each bush costs $11.50 more than each

m_a_m_a [10]

Each bush costs $18.49

Step-by-step explanation:

Mrs. Kelly creates a garden

She buys 15 flowers and 3 bushes for a total cost of $160.32
Each bush costs $11.50 more than each flower

We need to find how much each bush costs

Assume that the cost of each flower is $x and the cost of each

bush is $y

∵ She by 15 flowers and 3 bushes for a total cost $160.32

∵ The cost of each flower is $x

∵ The cost of each bush is $y

∴ 15x + 3y = 160.32 ⇒ (1)

∵ Each bush costs $11.50 more than each flower

- That mean equate y by x plus 11.50

∴ y = x + 11.50 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∵ 15x + 3(x + 11.50) = 160.32

- Simplify the left hand side

∴ 15x + 3x + 34.5 = 160.32

- Add like terms in the left hand side

∴ 18x + 34.5 = 160.32

- Subtract 34.5 from both sides

∴ 18x = 125.82

- Divide both sides by 18

∴ x = 6.99

Substitute the value of x in equation (2) to find y

∵ y = 6.99 + 11.5

∴ y = 18.49

Each bush costs $18.49

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

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3 years ago

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liq [111]

Answer:

Step-by-step explanation:

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If there are 60 fishes in the fish bowl, then the number of fishes that are red is

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3 years ago