In a video game, a character needs to shine a light through two spinning wheels that have holes in them.The first wheel makes a complete rotation in 7 seconds.The second wheel makes a complete rotation in 9 seconds.The hole are lined up at 0 seconds.How many seconds will pass before they are lined up again?

The solution involves clearing the equation of fractions, rearranging terms to isolate the variable c, and then solving for c by dividing both sides by 9 to obtain c = 80/9.

The student is asking for help solving a linear equation. To assist with this mathematics problem, it's crucial to use algebraic methods to isolate the variable c. Here is the step-by-step solution:

Given:

​3/8 c − 2 = ​3/2 c − 12

First, let's clear the fractions by multiplying every term by 8 to get rid of the denominators:

8(​3/8 c) − 8(2) = 8(​3/2 c) − 8(12)

Which simplifies to:

3c − 16 = 12c − 96

Next, subtract 3c from both sides to move all terms with c to one side:

− 16 = 9c − 96

Now, add 96 to both sides to isolate the c term:

80 = 9c

Finally, divide both sides by 9 to get the value of c:

c = 80 / 9

The required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is     x > 4  or  x > 8.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
1. 2x + 5 > −3 and 4x + 7 < 15
  2x > -8  and 4x < 8
  x > -4   and x < 2

2. 2x − 5 > 3 or −4x + 7 < −25
   2x > 8  or -4x < -32
     x > 4  or  x > 8

Now, plotting graph for both inequalities,
the double-shaded portion on the graph is the required solution for inequalities in section 1 of the question, and solution for the section 2 of the question is each shaded area of the graph.

Thus, the required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is     x > 4  or  x > 8.

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The function for the amount of money left after buying books is y = 10 - 0.75x.

Let x represent the number of books you buy. Each book costs $0.75, so the total cost for x books is 0.75x. You start with $10.

Therefore, the amount of money you have left, y, can be represented by the function:

y = 10 - 0.75x

For example, if you buy 3 books, the remaining money would be:

y = 10 - 0.75(3)

= 10 - 2.25

= 7.75

The complete question is:

At a yard sale, you find 5 paperback books by your favorite author.  You have $10 in each book is priced at $0.75. Write a rule for the amount of money you have left as a function of the number of books you buy.

Answer:

→If rounding is done at Tenth place, and if

    Number are from , 54295 to 54,300 .All these numbers when rounded at unit place , it rounds to 54,300.

→If rounding is done at Hundreth place, and if

    Number is from , 54250 to 54,300 .All these numbers when rounded at Hundreth place , it rounds to 54,300.

→The greatest whole number that rounds to 54’300 will be =54,300

→If rounded at Unit place , it will be a decimal number,so greatest decimal number =54,299.999999...

→If rounded at tenth place, Greatest number=54,299

→If rounded at Hundred's Place , greatest number=54,299

As it is not given that,we have to round from which digit, either ones,Tens, Hundreds, Thousands........

translated 3 units down means the x stays the same and you subtract 3 from the Y

 so (2,3) becomes (2,0)

 (-4,-5) = (-4,-8)

 and (-2,4) = (-2,1)

 so new coordinates are C. (2,0), (-4,-8), (-2,1)

The floor space of the footprint of each structure is calculated by the area.

We have given that,

measurement do you need to calculate in order to determine the floor space, or footprint, of each structure.

We have to determine the

To determine the floor space, or footprint, of each structure.

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

Therefore the floor space of footprint of each structure is calculated by the area.

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Answer:  Park P

Step-by-step explanation:

Since, According to the question,

Number of yellow bird in park P = 33

Total number of the bird in park P = 53

Thus, the percentage of yellow bird in park P = [tex]\frac{33}{53} \times 100[/tex]= 62.264150943% ≈ 62 %

Number of yellow bird in park Q = 20

Total number of the bird in park Q = 48

Thus, the percentage of yellow bird in park P = [tex]\frac{20}{48} \times 100[/tex]=41.666666666% ≈ 42%

Number of yellow bird in park R = 54

Total number of the bird in park R = 90

Thus, the percentage of yellow bird in park R = [tex]\frac{54}{90} \times 100[/tex]= 60 %

Number of yellow bird in park S = 44

Total number of the bird in park S = 83

Thus, the percentage of yellow bird in park P = [tex]\frac{44}{83} \times 100[/tex]=53.012048192 % ≈ 53 %

Since, 62% > 60% > 53% > 42%

Therefore, highest percentage of the yellow bird is 62 %

Which is present in park P.