Mathematics College

Say you have 47,964 blocks. For every 4 yellow blocks, you have 1 orange block. For every 4 orange blocks, you have 1 red block. For every 2 yellow blocks, you have 3 blue blocks. How many of each color block do you have?


Please show steps I'm horrible at multiple-ratio problems

Answers

Answer 1

Using proportions, the amounts you have of each block are given as follows:

Blue: 25,581.Yellow: 17,054Orange: 4,263.Red: 1,066

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

From the amounts given, you can create the following ratio:

Blue : Yellow : Orange : Red

6 : 4 : 1 : 0.25.

Hence the fractions corresponding to each color are given as follows:

Blue: 6/(6 + 4 + 1 + 0.25) = 6/11.25.Yellow: 4/11.25.Orange: 1/11.25.Red: 0.25/11.25.

Hence the number of blue blocks is found as follows:

6/11.25 x 47964 = 25,581.

The number of yellow blocks is given by:

4/11.25 x 47964 = 17,054.

The number of orange blocks is given by:

1/11.25 x 47964 = 4,263.

The number of red blocks is given by:

0.25/11.25 x 47964 = 1,066.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

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Step-by-step explanation:

A 33 33 -ft ladder leans against a building so that the angle between the ground and the ladder is .

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Question:

A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75º. How high does the ladder reach up the side of the building?

Round to 2 decimal places feet.

Answer:

[tex]H = 31.88[/tex]

Step-by-step explanation:

The question is illustrated using the attachment as a sketch.

We have that

[tex]Ladder = 33ft[/tex]

[tex]\theta = 75[/tex]

Required

Determine how high the ladder is to the building

Represent the length of the ladder with L and how high the ladder is on the building with H.

The relationship between L, H and [tex]\theta[/tex] is"

[tex]Sin\theta = \frac{H}{L}[/tex]

Substitute values for L and [tex]\theta\\[/tex]

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Write in standard form
0.000000799

Answers

Answer:

7.99*10^7

is the answer to your question

Answer: 7.99×10[tex]x^{-7}[/tex]

Step-by-step explanation:

7.99 times 10[tex]x^{-7}[/tex] = 0.00000799

The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1999 his card was worth $4.99. The value has increased by $1.73 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2006? Express the relationship with an equation. y=(Use integers or decimals for any numbers in the expression.)​

Answers

Answer: $15.37

Yes, proportional

Step-by-step explanation:

Ok So the Equation Here is

y = 1.73x + 4.99

The reason why 4.99 doesn't have a variable is because of the fact it's not being manipulated by time like the 1.73 is. It's a flat rate of 4.99 for the card itself, no increase or decrease in years. However, the 1.73 is affected by how ever many years the player is in retirement. That's why it has X because the amount of 1.73 needs to be multiplied by however many years hes been in retirement.

So Substitute 6 (because 2006 is what year we need to find) for x and we get

y = 1.73(6) + 4.99

Which if you simplify in a calculator or do it in your paper, comes out to be $15.37

*If this Helped I'd Also Appreciate 5* and a ♥ Thanks!*

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Step-by-step explanation:

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Answer:

Explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

b

Answer:

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