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3 years ago

Match each ratio to the situation that it correctly models.

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

The ratio that correctly models the situations are:

1 to 3 - for every cup of water added to the mixture, there are three drops of food colouring added.

4 : 3 - for every 4 students wearing pants, there are 3 students wearing shorts.

12 : 3 - there 4 times as many boys as there are girls.

<h3>What are ratios?</h3>

A ratio expresses the relationship between two numbers. It shows the number of times that one value is contained in another value. The sign used to represent ratios is :.

Please find attached the complete questions. To learn more about ratios, please check: brainly.com/question/25927869

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The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

Korvikt [17]

Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

_____

The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

8 0

3 years ago

What is the solution to the equation below?

12345 [234]

Answer:

C x=6

Step-by-step explanation:

sqrt(x+3) = x-3

Square each side

(sqrt(x+3))^2 = (x-3)^2

x+3 = (x-3)^2

x+3 = (x-3)(x-3)

FOIL

x+3 = x^2 -3x-3x+9

Combine like terms

x+3 = x^2 -6x+9

Subtract x from each side

x-x+3 = x^2 -6x-x +9

3 = x^2 -7x +9

Subtract 3 from each side

3-3 = x^2 -7x +9-3

0 = x^2 -7x+6

Factor

0 = (x-6)(x-1)

Using the zero product property

x-6=0 x-1 =0

x=6 x=1

Since we squared we need to check for extraneous solutions

x=1

sqrt(1+3) = 1-3

sqrt(4) = -2

2=-2

False

Extraneous

x=6

sqrt(6+3) = 6-3

sqrt(9) = 3

3=3

True solutions

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Answer:

$1020

Step-by-step explanation:

1/2 of 170 is 85.

85 x 12 = 1020

WOOOO!!!!

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