If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540
The actual revenue collected was $450. The difference between $540 and $450 is $90.
The difference between the student and faculty tickets are $2.50-$2, or .50
$90.00 / .50 = 180 student tickets sold.
That leaves 216-180, or 36 as faculty tickets.
180 student tickets at $2 = $360
36 faculty tickets at $2.50 = $90
$360 + $90 = $450
Solve the equation for W
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
The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map
Answer:
210 km
Step-by-step explanation:
1cm : 70km
3 x 70 = 210
3cm : 210km
Hopefully this helps you :)
pls mark brainlest ;)
i need seven please help
Answer:
3n + 6
Step-by-step explanation:
7.
three times a number: 3n
six more than three times a number: 3n + 6
Solve for x: −4x − 4 = −4(x + 2)
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
what is 0.142857 repeating as a fraction????
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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passes through (-4, 11) and (2,8)
Are you looking for slope?
if u r the slope is -6/3
A slope of line will be "[tex]-\frac{1}{2}[/tex]".
Slope of line:According to the question,
(-4, 11) = (X1, Y1)(2,8) = (X2, Y2)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.
Find out more information about slope here:
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what is the standerd form of number shown in this calculater display. 1.46e-6
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
If HJ = 7x27 find the value of x. 3x-5. x-1
•———————-•——•
H. I. J
Answer:8.6
Step-by-step explanation:
After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease in the volume of the tumor
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.
0.15(y-0.2)=2-0.5(1-y)
The answer is -153/35 I just need to know how to get that
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].
2 (x − 3) = 5x − 3 (x + 2)
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 :)
Is 253/10 a rational or irrational
Answer:
irrational
Step-by-step explanation:
In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice the length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.
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:
lX – 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable length of a wire?
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.
Help meeeee !!!!!!!!!
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!
Solve for x.
y= 2x
y=20
Simplify your answer as much as possible.
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.
The mean of four numbers is 70. When a fifth number is included, the mean of the five numbers is 80. What is the fifth number?
=============================================
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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The surface area of the side of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side.
Answer:
2[tex]\pi[/tex]rh
Step-by-step explanation:
A little easier way to see:
2 * [tex]\pi[/tex] * r * h
0.3(10-5x)=31.5(8x+9)
Answer:
x = - 1.106Step-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
Jack's bank statement shows an account balance of $25 50 Which descubes the magnitude or size of the debt in dollars? $50 50 $25 50 SO 0-$25 50
Answer:
it’s B. $25.50
Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5
Answer:
(x,y). y = x + 3 y = -x - 5
Step-by-step explanation:
add it up cowgirl howdey with PHOTOT MATHSAnswer:
(-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.
HELP PLZ!!! A, B, C,or D.
Answer:
D
Step-by-step explanation:
Find the perimeter of each polygon created by the coordinates.
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)
a) 16.7
b) 14
c) 15.2
did I do this right also how should I finish it?
it depends on what your supposed to do i would finish it myself
Simplify this equation 2x³y³/4y²
I need help on this giving brainlist ASAP
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
8 times a number plus 3 times the number is the same as 9 more than 12 times the number. find the number
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
do the measurements represent the three sides of a triangle 3 cm, 3 cm, 3 cm
Answer:
yes!!!
Step-by-step explanation:
HELP PLEASE
Use greater than, equal to =, or less than sign to compare
2/3 and 1/6
Answer:
2/3 < 1/6
Step-by-step explanation:
hope this helps
Answer:
2/3 > 1/6
Step-by-step explanation:
Vivi is a drummer for band she burns 756 calories while drumming for 3 hours she burns the same number of calories each hour how many calories does vivi burn per hour?
Answer: 252 cph
Step-by-step explanation: 756 divide by 3 is 252