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erma4kov [3.2K]
3 years ago
13

Determine the point that lies on the equation y = -5x - 3.

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

(4, -23)

Step-by-step explanation:

We are given;

  • The equation, y = -5x -3

We are needed to determine the point that lies on the equation;

  • We need to know that for a point to be lying on the equation it must satisfy the equation.
  • This means when we use the value of x in the equation we should get the exact value of y of the given point;
  • Therefore, in this case;

Point (4, -23)

Replacing x = 4 in the equation;

y = -5(4) - 3

 = -23

Therefore, the point lies on the equation as the point satisfies the equation

Thus, the required point is (4, -23)

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For every 1 litre of water used 150ml of sucrose and 600ml of saline solution is used
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Question:

For every 1 litre of water used to make a medicine, 600 ml of sucrose and 150ml of saline solution are used.

Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.

Answer:

Water : Sucrose : Saline = 20 : 3 : 12

Step-by-step explanation:

Given

Water = 1L

Sucrose = 150mL

Saline= 600mL

Required

Express as a ratio to the simplest form

First convert the volume of water to mL

Water = 1L

Water = 1 * 1000mL

Water = 1000mL

Express as ratio:

Water : Sucrose : Saline = 1000mL : 150mL : 600mL

Water : Sucrose : Saline = 1000 : 150 : 600

Divide through by 10

Water : Sucrose : Saline = 100 : 15 : 60

Divide through by 5

Water : Sucrose : Saline = 20 : 3 : 12

<em>The ratio can not be further simplified</em>

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3 years ago
33 1/3% of what number is 12?
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33.33% of 36 ≈ 12

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The side length of a triangle are 6,8 and 12 are these sides of a right triangle
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Answer:

Yes it a right triangle!!

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4 0
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X=3y+4<br> 3x-5y=8<br> Solve using substitution
Mkey [24]

x = 3y + 4

3x - 5y = 8

Because we have a value for x, we can plug it into the second equation to solve for y.

3(3y + 4) - 5y = 8

9y + 12 - 5y =8

Combine like terms.

4y + 12 = 8

Subtract 12 from both sides.

4y = -4

Divide both sides by 4.

y = -1

Because we have a constant value for y, we can solve for x.

x = 3(-1) + 4

x = -3 + 4

x = 1

<h3>The value of x is equal to 1.</h3><h3>The value of y is equal to -1.</h3>
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Answer:

$5500

Step-by-step explanation:

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