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nignag [31]
2 years ago
12

Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined w

ith 1.5 cups bell pepper? Write a proportion, then solve. ​
Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

Step-by-step explanation:

Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.

Let t be tomatoes and b be bell peppers

The proportion will be:

t:b

The ratio of tomatoes to bell pepper will be:

6:2

This ratio simplifies to 3:1

This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.

Now the bell peppers are 1.5 cups then the proportion will be:

t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5

Hence,

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

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STatiana [176]

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

  • If the equation of a  line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
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Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

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3 years ago
Use dimensions analysis bro convert 9 milliliters to fluid ounces.
bixtya [17]

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Step-by-step explanation:

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3 years ago
Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
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Answer:

A is the only solution.

Step-by-step explanation:

A simple way to solve it is to plug in the x and y values

For A, we plug in 2 for x and 3 for y

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0=5(0)

0=0

Ordered pair A is a solution

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2-3=5(3-2)

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3 years ago
The volume of a sphere is 972(pi)ft3.
pav-90 [236]

Here are some simple equations that can be a life saver with this stuff :

vol of a sphere =

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Circumference =

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3 years ago
Solve for r <br> r/8 =7<br> r = ____
Nostrana [21]

Answer:

r=56

Step-by-step explanation:

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And to check you can do

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You can tell me if my explanation is wrong. Thanks

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2 years ago
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