What does 60 inches equal

Answer:3,888

Step-by-step explanation: hope I helped

Answer:

[tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Step-by-step explanation:

Two functions are inverse where their composition results in a variable only:

[tex]f(g(x))=x[/tex]

So, we have to insert the right numbers in place of letters a, b, c and d, to fulfil this definition. Those value would be: [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Replacing these values, we have:

[tex]f(x)=x+2[/tex]

[tex]g(x)=1x-2=x-2[/tex]

Applying the composition [tex]f(g(x))[/tex]:

[tex]f(g(x))=\frac{cx-d+a}{b}[/tex]

We observe that with this values, these functions are inverse, because it composition results x.

[tex]f(g(x))=\frac{1x-2+2}{1}=x[/tex]

Therefore, the values are [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]

Answer:

18

Step-by-step explanation:

it is good

The three equations that have no solutions are A ,C and F

What is Linear Equation in 1 variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

Given data ,

A )

19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4

On Simplifying , we get

8b + 11 = 8b - 11

Hence , the option has no solution

B )

4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12

On Simplifying , we get

11b - 19 = 11b - 19

Adding 19 on both sides , we get

11b = 11b

Divide by 11 on both sides , we get

b = b

Hence , the option has a solution

C )

7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10

On Simplifying , we get

- 7b + 5 = - 7b + 7

Hence , the option has no solution

D )

10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7

On Simplifying , we get

0 + 12 = 4b + 0

4b = 12

Divide by 4 on both sides , we get

b = 3

Hence , the option has a solution

E )

9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17

On Simplifying , we get

0 - 14b = 0

b = 0

Hence , the option has a solution

F )

8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3

On Simplifying , we get

12b - 8 = 12b - 12

Hence , the option has no solution

Therefore , the three equations that have no solutions are A ,C and F

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total number of prime numbers in bucket A = 10(  3 5 7 11 13 17 19 23 29 31)

Probability = favorable outcomes/ total outcomes = 10/31

total number of numbers evenly divisible by 6 in bucket B = 5(6 12 18 24 30)

probability = 5/31

Answer: February 4

Step-by-step explanation:

A graph that shows a proportional relationship include the following; A. graph A.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

In conclusion, the characteristics for a graph that shows a proportional relationship include the following:

A straight line can be drawn through its points.

The straight line connecting the points passes through the origin.

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The side length of the pyramid's base is approximately 0.7071 inches, and it is an irrational number.

To find the side length of the pyramid's base, we need to use the formula for the volume of a pyramid, which is given by:

[tex]\[ V = \frac{1}{3}Bh \][/tex]

where V is the volume, B is the area of the base, and h is the height of the pyramid.

Given that the volume V  is 0.734 cubic inches and the height h  is 4.41 inches, we can rearrange the formula to solve for the area of the base B :

[tex]\[ B = \frac{3V}{h} \][/tex]

Substituting the given values:

[tex]\[ B = \frac{3 \times 0.734}{4.41} \] \[ B = \frac{2.202}{4.41} \] \[ B \approx 0.5 \text{ square inches} \][/tex]

Now, assuming the base is a square (since we are looking for the side length), the area of the base B  is also equal to the side length squared:

[tex]\[ B = s^2 \][/tex]

where \( s \) is the side length of the base. Therefore:

[tex]\[ s^2 = 0.5 \][/tex]

Taking the square root of both sides:

[tex]\[ s = \sqrt{0.5} \] \[ s \approx 0.7071 \text{ inches} \][/tex]

The side length of the pyramid's base is approximately 0.7071 inches.

To determine if this number is rational or irrational, we consider the definition of rational numbers. A rational number is one that can be expressed as the quotient of two integers. The square root of 0.5 can be rewritten as:

[tex]\[ s = \sqrt{0.5} = \sqrt{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}} \][/tex]

To rationalize the denominator, we multiply the numerator and the denominator by [tex]\( \sqrt{2} \)[/tex]:

[tex]\[ s = \frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \][/tex]

Since [tex]\( \sqrt{2} \)[/tex] is an irrational number, the side length s is also irrational because it cannot be expressed as the quotient of two integers.

Final answer:

To find the number of girls attending an assembly given a boys-to-girls ratio, divide the total students by the total parts of the ratio and then multiply by the girls' part of the ratio. 300 girls attended the assembly.

Explanation:

Ratios provide us with comparative information. In this case, the ratio of boys to girls is 5 to 6. To find the number of girls, we need to divide the total students by the total parts of the ratio (5 + 6) and then multiply by the girls' part of the ratio:

Calculate total parts of the ratio: 5 (boys) + 6 (girls) = 11.

Divide total students by total parts of the ratio: 550 / 11 = 50.

Multiply by the girls' part of the ratio: 50 (students per part) * 6 (girls) = 300 girls attended the assembly.