A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?

Answer:

[tex]y=-\dfrac{153}{35}[/tex].

Step-by-step explanation:

The given equation is

[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]

Using distributive property, we get

[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]

[tex]0.15y-0.03=2-0.5+0.5y[/tex]

[tex]0.15y-0.03=1.5+0.5y[/tex]

Isolate variable terms.

[tex]0.15y-0.5y=1.5+0.03[/tex]

[tex]-0.35y=1.53[/tex]

Divide both sides by -0.35.

[tex]y=\dfrac{1.53}{-0.35}[/tex]

[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]

[tex]y=-\dfrac{153}{35}[/tex]

Therefore, [tex]y=-\dfrac{153}{35}[/tex].

Answer:

it’s B. $25.50

Answer:

20=2x

20/2=x

X=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

20 divided by 2 equals 10.

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.

Answer:

14

Step-by-step explanation:

Answer:

2/3 < 1/6

Step-by-step explanation:

hope this helps

Answer:

2/3 > 1/6

Step-by-step explanation:

Answer:

3n + 6

Step-by-step explanation:

7.

three times a number: 3n

six more than three times a number: 3n + 6

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume ([tex]V[/tex]) is calculated by:

[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex]

Where [tex]R[/tex] is the radius of the tumor.

The percentage decrease in the volume of the tumor ([tex]\%V[/tex]) is expressed by:

[tex]\%V = \frac{\Delta V}{V_{o}} \times 100\,\%[/tex]

Where:

[tex]\Delta V[/tex] - Absolute decrease in the volume of the tumor.

[tex]V_{o}[/tex] - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

[tex]\Delta V = V_{o}-V_{f}[/tex]

[tex]\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})[/tex]

The percentage decrease is finally simplified:

[tex]\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%[/tex]

Given that [tex]R_{o} = R[/tex] and [tex]R_{f} = 0.77\cdot R[/tex], the percentage decrease in the volume of tumor is:

[tex]\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%[/tex]

[tex]\%V = 54.34\,\%[/tex]

The volume of the tumor experimented a decrease of 54.34 percent.

Answer:

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

Expand the terms in the bracket

That's

3 - 1.5x = 252x + 283.5

Subtract 3 from both sides

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

Subtract 252x from both sides

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

Divide both sides by -253.5

We have the final answer as

x = - 1.106

Hope this helps you

Answer:

2[tex]\pi[/tex]rh

Step-by-step explanation:

A little easier way to see:

2 * [tex]\pi[/tex] * r * h

Answer:

no solution

Step-by-step explanation:

|x| = -10

Absolute value means that it is positive or 0

It cannot be negative

There is no solution

Step-by-step explanation:

There is no solution

|A|

can be only 0 or positive number

can't be -

from the rule of Mathematics

Answer:

Step-by-step explanation:

[tex]n= 0.142857[/tex]

[tex]1000000n= 0.142857[/tex]

Move the decimal point using the 1000000n

You should get 142857.142857 repeating

Subtract n from both sides [tex]142857.142857- 0.142857[/tex]

You should get 142857 without the repeating decimal.

The equation is now: [tex]142857/999999[/tex] (fraction)

A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.

You can use a calculator for 142857/3 (division) (unless your teacher says you can't)

You should get 47619

You should get[tex]47,619/333333[/tex]  (fraction).

I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.

Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)

You should get 15,873

You should get 15,873/111111 (fraction)

The repeating decimal 0.142857 is equivalent to the fraction 1/7.

Given that we need to convert a repeating decimal 0.142857 as a fraction.

The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:

x = 0.142857...

To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.

Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:

10⁶ · x = 142857.142857...

Next, we subtract the original equation from the one above to eliminate the repeating part:

(10⁶ · x) - x = 142857.142857... - 0.142857...

Simplifying the equation:

999999x = 142857

Now, we can solve for x by dividing both sides of the equation by 999999:

x = 142857 / 999999

Simplifying the fraction:

x = 1 / 7

Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.

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Are you looking for slope?

if u r the slope is -6/3

A slope of line will be "[tex]-\frac{1}{2}[/tex]".

According to the question,

We know,

Slope of line:

= [tex]\frac{Y2-Y1}{X2-X1}[/tex]

By substituting the values, we get

= [tex]\frac{8-11}{2-(-4)}[/tex]

= [tex]\frac{-3}{6}[/tex]

= [tex]-\frac{1}{2}[/tex]

Thus the answer above is correct.

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Work Shown:

|x-12.2| = 0.3

x-12.2 = -0.3 or x-12.2 = 0.3

x = -0.3+12.2 or x = 0.3+12.2

x = 11.9 or x = 12.5

The min length is 11.9 cm and the max length is 12.5 cm

Subtracting 12.2 from either x value leads to a positive difference of 0.3 which is the margin of error.

Answer:

(x,y). y = x + 3 y = -x - 5

Step-by-step explanation:

Answer:

(-4,-1)

Step-by-step explanation:

I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.

Please see the graph attached.  

Hope this helps.

Answer:

irrational

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

let 'x' be the unknown number

lets change the statment to an equation

8x + 3x = 12x + 9

11x = 12x + 9

11x-12x = 9

-x = 9

x = -9

hope it helps ❤❤❤

For any question comment me

Answer:

yes!!!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

210 km

Step-by-step explanation:

1cm : 70km

3 x 70 = 210

3cm : 210km

Hopefully this helps you :)

pls mark brainlest ;)

=============================================

Explanation:

S = sum of the first four values

S/4 = 70 since we divide the sum by 4 to get the mean of the first four values

S = 280 is the result after multiplying both sides by 4

Let x be the fifth unknown value. Adding it onto S leads to S+x = 280+x. This represents the sum of all five values.

Dividing that sum 280+x over 5 leads to the new mean 80, which leads to...

----------

(280+x)/5 = 80

280+x = 5*80

x+280 = 400

x = 400-280

x = 120

The fifth number is 120

The fifth number is 120

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the four numbers be = a , b , c , d

Let the fifth number be = e

Now , the mean of 4 numbers is m = 70

So , the equation will be

( a + b + c + d ) / 4 = 70

Multiply by 4 on both sides , we get

a + b + c + d = 280   be equation (1)

Now , the mean of 5 numbers is m = 80

So , the equation will be

( a + b + c + d + e ) / 5 = 80

Multiply by 5 , we get

a + b + c + d + e = 400   be equation (2)

Substitute the value of equation (1) in equation (2) , we get

a + b + c + d + e = 400

280 + e = 400

Subtracting 280 on both sides , we get

e = 400 - 280

e = 120

Therefore , the value of e is 120

Hence , The fifth number is 120

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Answer:

Step-by-step explanation:

-4x - 4 = -4x - 8

=4 ≠ -8

no solution

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Answer:

no solution

Step-by-step explanation:

-4x - 4 = -4(x + 2)

Distribute

-4x -4 = -4x -8

Add 4x to each side

-4x+4x - 4 = -4x+4x -8

-4 = -8

This is never true so there is no solution

it depends on what your supposed to do i would finish it myself

Answer:8.6

Step-by-step explanation:

Answer:

3n²+3n-60

Step-by-step explanation:

Area of rectangle= L*W

A=3(n-1)(n+2)

A=3(n²+n-2)

A=3n²+3n-6

54=3n²+3n-6

3n²+3n-6-54=0

3n²+3n-60=0

Answer:

3, 3, - 60

Step-by-step explanation:

Area = lw

Therefore 54=(3n-3)(n+2)

Expand and we get:

3n^2+6n-3n - 6=54

Combine terms and move 54 to left side:

3n^2+3n-60

Hope this helped!

Answer:

scientific notation

Step-by-step explanation:

This number is shown in scientific notation.

Answer:

0.00000146

Step-by-step explanation:

I took the test

Answer: 252 cph

Step-by-step explanation: 756 divide by 3 is 252

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−3)=5x−3(x+2)

(2)(x)+(2)(−3)=5x+(−3)(x)+(−3)(2)(Distribute)

2x+−6=5x+−3x+−6

2x−6=(5x+−3x)+(−6)(Combine Like Terms)

2x−6=2x+−6

2x−6=2x−6

Step 2: Subtract 2x from both sides.

2x−6−2x=2x−6−2x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

Answer:

Not Possiable

Step-by-step explanation:

Step 1:

2 ( x - 3 ) = 5x - 3 ( x + 2 )

Step 2:

2x - 6 = 5x - 3x + 6

Step 3:

2x = 2x

Answer:

2x cannot equal 2x

Not Possiable

Hope This Helps :)

Answer:

fourth option

Step-by-step explanation:

Given

[tex]\frac{2x-1}{y}[/tex] = [tex]\frac{w+2}{2z}[/tex] ( cross- multiply )

y(w + 2) = 2z(2x - 1) = 4xz - 2z ( divide both sides by y )

w + 2 = [tex]\frac{4xz-2z}{y}[/tex] ( subtract 2 from both sides )

w = [tex]\frac{4xz-2z}{y}[/tex] - 2