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DaniilM [7]
4 years ago
12

A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ra

tio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.
Mathematics
1 answer:
Dafna11 [192]4 years ago
8 0

Answer:

The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.

Step-by-step explanation:

When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1

If we use 2 batches of recipe, the ratio is multiplied twice.

That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2

But, if we simplify the ratio, by dividing both by common factor, we would get 3:1

That's \frac{6}{2} :\frac{2}{2} simplified to 3:1

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5. Joe and Mike went video game shopping and it cost $69.00. Mike had a
Liula [17]

Answer:

it would be 20 I'm not 100 percent tho

8 0
3 years ago
If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the sys
noname [10]
<h2>Key Ideas</h2>
  • Systems of equations

<h2>Solving the Question</h2>

When both sides of the equal sign are equal, there are infinite solutions.

When you are able to isolate the variable, there is only one solution.

When the equation states an untrue expression, there is no solution.

1=3 is an untrue fact. Therefore, there would be no solutions to the system.

<h2>Answer</h2>

There is no solution

5 0
2 years ago
What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x
Serggg [28]

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

4 0
4 years ago
Are the following lines parallel, perpendicular, or neither?
sashaice [31]

Answer:

Neither

Step-by-step explanation:

equation 1 is a negative slope, equation 2 is a positive slope, but with a different slope.

7 0
3 years ago
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches gre
aliina [53]

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

<h3>How to find the volume of a rectangular prism?</h3>

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

learn more on volume here: brainly.com/question/2005063

#SPJ1

7 0
2 years ago
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