Twenty-three girls tried out for the cheerleading squad. Only 12 could be chosen for the team. How many girls were not selected?

Equation for a

a= b/c - 1

Equation for b

b= ca - a

Equation for c

c=  b/a + 1

Answer:

its 4 2/25 :P

Step-by-step explanation:

hi!!!

Step-by-step explanation:

This ≤ inequality sign means:

-5 ≤ 4

And then:

-3x ≤ 2

OR:

-5 ≤ 4 -3x ≤ 2

Hi!!! Sorry, I didn't know if they were suppose to be together or separate, so I just did it both ways!!! :) Really sorry if I am wrong...

Answer:

a = (-7)/32  or a= 0.21875

Step-by-step explanation:

Solve for a:

-4 a - 4 = (4 a)/7 - 3

Put each term in (4 a)/7 - 3 over the common denominator 7: (4 a)/7 - 3 = (4 a)/7 - 21/7:

-4 a - 4 = (4 a)/7 - 21/7

(4 a)/7 - 21/7 = (4 a - 21)/7:

-4 a - 4 = (4 a - 21)/7

Multiply both sides by 7:

7 (-4 a - 4) = (7 (4 a - 21))/7

(7 (4 a - 21))/7 = 7/7×(4 a - 21) = 4 a - 21:

7 (-4 a - 4) = 4 a - 21

Expand out terms of the left hand side:

-28 a - 28 = 4 a - 21

Subtract 4 a from both sides:

(-28 a - 4 a) - 28 = (4 a - 4 a) - 21

-28 a - 4 a = -32 a:

-32 a - 28 = (4 a - 4 a) - 21

4 a - 4 a = 0:

-32 a - 28 = -21

Add 28 to both sides:

(28 - 28) - 32 a = 28 - 21

28 - 28 = 0:

-32 a = 28 - 21

28 - 21 = 7:

-32 a = 7

Divide both sides of -32 a = 7 by -32:

(-32 a)/(-32) = 7/(-32)

(-32)/(-32) = 1:

a = 7/(-32)

Multiply numerator and denominator of 7/(-32) by -1:

Answer:  a = (-7)/32

The solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

To solve the equation [tex]\(\frac{-4}{1}a - 4 = \frac{4}{7}a - 3\) for \(a\)[/tex], follow these steps:

1. Simplify the equation by multiplying both sides by their respective denominators to eliminate the fractions:

[tex]\[ 7(-4a - 4) = 1(4a - 3) \][/tex]

2. Distribute the numbers outside the parentheses:

[tex]\[ -28a - 28 = 4a - 3 \][/tex]

3. Move all terms containing a to one side of the equation and constants to the other side:

[tex]\[ -28a - 4a = -3 + 28 \][/tex]

4. Combine like terms:

[tex]\[ -32a = 25 \][/tex]

5. Solve for a by dividing both sides by -32:

[tex]\[ a = \frac{25}{-32} \][/tex]

Therefore, the solution to the equation is [tex]\(a = -\frac{25}{32}\)[/tex].

Answer:

1.524

Step-by-step explanation:

Answer:

1.52 meters

Step-by-step explanation:

Answer:

Multiply 60 by .40

60 * .40 = 24

Answer is B

Step-by-step explanation:

Answer: p(x) = 8.7x - 1940

              p(500) = $2410

              p(1000) = $6760

              p(5000) = $41,560

Step-by-step explanation:

p(x) = r(x) - c(x)

      = 9.5x - (0.8x + 1940)

      = 9.5x - 0.8x - 1940

      = 8.7x - 1940

**********************************************************************

p(500) = 8.7(500) - 1940

           = 4350 - 1940

           = 2410

p(1000) = 8.7(1000) - 1940

             = 8700 - 1940

             = 6760

p(5000) = 8.7(5000) - 1940

              = 43,500 - 1940

              = 41,560

***************************************************************************

p(500) =    r(500)    -    c(500)

           = 9.5(500)  -  [0.8(500) + 1940]

           =    4750     - (400 + 1940)

           =     4750    -      2340

           =              2410

p(1000) =   r(1000)    -    c(1000)

            = 9.5(1000)  -  [0.8(1000) + 1940]

            =     9500     - (800 + 1940)

            =     9500     -      2740

            =              6760

p(5000) =    r(5000)    -    c(5000)

           = 9.5(5000)  -  [0.8(5000) + 1940]

           =    47500     - (4000 + 1940)

           =    47500     -      5940

           =              41,560

Answer:

Step-by-step explanation:

I hope it will help you

Attachment

Answer:

The standard deviation of the numbers is 16.154.

Step-by-step explanation:

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

[tex]\bar{X}=\frac{\text{Sum of observations}}{\text{Total number of observations}}[/tex]

[tex]\bar{X}=\frac{1432}{20}=71.6[/tex]

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum (X-\bar{X})^2}{n}}[/tex]

[tex]\sigma=\sqrt{\frac{5218.8}{20}}[/tex]

[tex]\sigma=\sqrt{260.94}[/tex]

[tex]\sigma=\sqrt{16.154}[/tex]

Therefore standard deviation of the numbers is 16.154.

Answer:21.9

Step-by-step explanation:i just finished this question on a test and got it right hope this helps

Answer:

the answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller  

Step-by-step explanation:

Answer:

A is the correct equation

Step-by-step explanation:

Answer:

Answer is to increase trials

Step-by-step explanation:

Theoretical Probability is what it is expected to happen whereas Experimental Probability is what actually happens.

What Jamie should take into serious consideration is that Experimental probability gets gradually closer to theoretical probability as the number of trials increases.

In other words, Jamie needs to increase the number of trials in order to match experimental and theoretical probabilities every time more and more.

Answer: letter A

to increase the number of trials

Step-by-step explanation:

[tex]\begin{array}{ccc}20.8&-&32\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\32x=(20.8)(100)\\\\32x=2080\qquad\text{divide both sides by 32}\\\\\boxed{x=65}[/tex]

The number that 20.8 is 32% of is 65, achieved by setting up an equation representing 32% of a number equal to 20.8 and solving for that number.

The question is asking you to find a number such that 32% of it equals 20.8. You represent this situation mathematically as '32/100 * X = 20.8', where 'X' is the number we need to find. Solving for 'X' gives us 'X = 20.8 ÷ (32/100)'. Performing this operation gives us 'X = 65'.

So, 20.8 is 32% of 65, which is the solution to the problem. The primary focus here is understanding percentages and how to solve these types of questions.

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Answer: 137 + 4(n-1)

Step-by-step explanation:

137 + 4(n-1)

Okay, let's test this starting with week 1:

137 + 4(1-1)

137 + 4*0

137, which is correct because she starts with 137.

Week 2:

137 + 4 (2-1)

137 + 4 * 1

137 + 4

141

Alright, let's see if it is correct if we do week 5:

137 + 4 (5-1)

137 + 4(4)

137 + 16

153

To know that 153 is right we could do 137 + 4 + 4 + 4 + 4, which equals 153.

Answer:

GRAPH D

Step-by-step explanation:

BECASUE IT IS THE WRIGHT ANSWER

Answer:

Alright well solve for d by cross multiplying

Exact form: d = 115/8

Decimal form: d = 14.375 Hope this helps have a nice day : )

Step-by-step explanation:

Answer:

I believe the answer is 20.

Step-by-step explanation:

Answer: The right answer is this:

Katelyn did make an error. She also needs to multiply 4 by −2.

4−8−3=7

Step-by-step explanation:

Answer:

Katelyn did make an error. She also needs to multiply 4 by −2.

4x−8−3=7x

Step-by-step explanation:

A secant is a line that intersects a circle at two points.

Therefore your answer is

[tex]\boxed{D.\ \overline{AD}}[/tex]

OB - radius

DE - tangent

FC - chord

AB - some segment

The standard form:

[tex]Ax+By=C[/tex]

[tex]4x-y-7=0\qquad\text{add 7 to both sides}\\\\\boxed{4x-y=7}[/tex]

[tex]3x+9=\dfrac{7}{2}y\qquad\text{multiply both sides by 2}\\\\6x+18=7y\qquad\text{subtract 18 and 7y from both sides}\\\\\boxed{6x-7y=-18}[/tex]

[tex]y=-4x+12\qquad\text{add 4x to both sides}\\\\\boxed{4x+y=12}[/tex]

[tex]y=-\dfrac{3}{4}x+\dfrac{5}{4}\qquad\text{multiply both sides by 4}\\\\4y=-3x+5\qquad\text{add 3x to both sides}\\\\\boxed{3x+4y=5}[/tex]

Answer: 32 Rose Arrangements & 8 Tulip Arrangements

Step-by-step explanation: The number of arrangements for each flower is unknown (n) but the total is known, 40 arrangements. There are 4 times as many rose arrangements than tulip meaning 4n rose + n tulip = 40, 4n + n = 40, 5n = 40, 40 ÷ 5 = n, n = 8. Roses = 4n = 4x8= 32. Tulips = n = 8.

The formula of a surface area of a cone:

[tex]SA=pi rl+\pi r^2[/tex]

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

[tex]d=2r\to r=6in:2=3in[/tex]

Substitute:

[tex]SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}[/tex]

Answer:

{0, -1, 11, 13 }

Step-by-step explanation:

the range of the function are the corresponding values of y from the set of points, in ascending order, that is

{0, -1, 11, 13 }

Answer:

Step-by-step explanation:

The range is the set of y values of the function.

{0, -1, 11, 13]

Answer:

A.  (3,0)

Step-by-step explanation:

When the equations are graphed, the solution is where the two graphs cross.  For the red line and the blue line, the cross at (3,0)

We can check this by substituting x=3 into both equations and seeing if we get y=0

y = -x+3

y = -3+3

y =0

y = x-3

y = 3-3

y=0

In both cases, we got y=0.  

Therefore (3,0) is a solution to both equations and since it solves both equations, it solves the system.

Answer:

The inverse is sqrt(x+9)

Step-by-step explanation:

f(x)=x^2-9

To find the inverse of the function, we interchange x and y and solve for y

y = x^2 -9

x = y^2 -9

Add 9 to each side

x+9 = y^2 -9+9

x+9 = y^2

Take the square root of each side

sqrt(x+9) = sqrt(y^2)

sqrt(x+9) = y

f^-1 (x) = sqrt(x+9)

Answer:

x = ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

given the 3 terms of a geometric sequence

[tex]\sqrt{x-1}[/tex], 1, [tex]\sqrt{x+1}[/tex], then the common ratio r

r = [tex]\frac{\sqrt{(x+1)} }{1}[/tex] = [tex]\frac{1}{\sqrt{(x-1)} }[/tex] ( cross- multiply )

[tex]\sqrt{(x+1)(x-1)}[/tex] = 1 ( square both sides )

(x + 1 )(x - 1 ) = 1 ← expand factors on left side )

x² - 1 = 1 ( add 1 to both sides )

x² = 2 ( take the square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

The value of x is ±[tex]\sqrt{2}[/tex].

Given:

Geometric Sequence with first three terms.

[tex]\sqrt{x-1},1, \sqrt{x+1[/tex]

We have to find the value of x.

Now, if the given sequence is geometric then we can find the common ratio of the sequence.

The common ratio is given by:

r = [tex]\frac{1}{\sqrt{x-1} }[/tex] and r = [tex]\frac{\sqrt{x+1} }{1}[/tex]

Now, we can equate the both the values of r to solve for the value of x.

[tex]\frac{\sqrt{x+1} }{1} = \frac{1}{\sqrt{x-1} }[/tex]

Now, multiplying the numerator on both sides by [tex]\sqrt{x-1}[/tex], we get:

[tex]\sqrt{x+1} \sqrt{x-1} =1[/tex]

[tex]\sqrt{(x-1)(x+1)}=1[/tex]

[tex]\sqrt{x^2-1} =1[/tex]

Now, squaring on both sides of the equation, we get:

⇒ x² - 1 = 1

⇒ x² = 2

Now, taking square root on both the sides, we get:

⇒ x = ±[tex]\sqrt{2}[/tex]

Therefore, for a given geometric sequence the value of x will be ±[tex]\sqrt{2}[/tex].

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