Answer:
36
Step-by-step explanation:
7+2= 9
9x4= 36
Tickets to a drama production cost $2.50 for students and $4 for non-students. If 285 tickets were sold
for a total of $1012.50, how many of each kind were sold?
Step-by-step explanation:
Let the ticket sold to the students be x, and the one sold to the non-students be y.
2.5x + 4y = 1012.50
x + y = 285
2.5x + 4y = 1012.50
2.5x + 2.5y = 285*2.5
1.5y = 1012.5 - 712.5
1.5y = 300
3y/2 = 300
y = 300 *2/3 = 200
x = 285 - 200 = 85
Therefore 200 tickets and another kind of 85 tickets were sold.
(x+4)(x-5)=0 quadratic equation
Answer:
x = -4 or x = 5
Step-by-step explanation:
hope it helped
[tex]\left \{ {{x+4=0} \atop {x-5=0}} \right. \\\left \{ {{x=-4} \atop {x=5}} \right.[/tex]
Thus, x= -4. 5
How do I write an equation for line l in point-slope and slope-intercept form? L is parallel to y=3x
Answer: y+4=3(x-2)
slope intercept form : y=3x-10
Step-by-step explanation:
The required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given line = y = 3x
The slope of the above line is,
m = 3
Line L parallel to line y = 3 x
so the slope of both lines will be the same,
Now,
The equation line passes through the point (4, -3),
Point slope form of the line,
y - y₁ = m (x - x₁)
y + 3 = 3 (x - 4)
y =3x - 12 -3
y = 3x - 15
Thus, the required point-slope and slope-intercept form of the line is y + 3 = 3 (x - 4) and y = 3x - 15 respectively.
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I need answer to Y in this math problem and how i can do this problem
Answer:
,the value of y is 27 degrees.
Step-by-step explanation:
Since the opposite angles of a parallelogram are equal, we know that angle x is also 51 degrees.
Now, we can use the fact that the sum of angles in a triangle is 180 degrees to find the missing angle, which we can label as z.
x + y + z = 180
51 + y + z = 180
y + z = 129
We can also see that angle z and angle 78 form a straight line, so they add up to 180 degrees.
z + 78 = 180
z = 102
Now we can solve for y:
y + z = 129
y + 102 = 129
y = 27
What is the discriminant of the quadratic equation 9x^2 - 2x - 9 = 0
Answer:
The discriminant is 328
if we solve the quadratic equation
ax^2+bx+c=0
we will get our answer
Factor COMPLETELY:
4x– 12y
The first step of factoring is to see what you can take out. You are able to take out a 4 from each number; making the 4 become just x and 12 becoming 3 since 4*3=12.
Final Answer : 4(x-3y)
Absolute Value Inequalities
|x−7|+|1−x|>6
Answer:
Step-by-step explanation:
[tex]|x-7|+|1-x|>6\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{For\:}x\le \:1:\quad x<1\\\\\mathrm{For\:}1<x<7:\quad \mathrm{No\:Solution}\\\\\mathrm{For\:}x\ge \:7:\quad x>7\\\\\mathrm{Combine\:the\:intervals}\\\\<1\quad \mathrm{or}\quad \mathrm{No\:Solution}\quad \mathrm{or}\quad \:x>7\\\\x<1\quad \mathrm{or}\quad \:x>7[/tex]
Jessie is the high scorer on his basketball team. He made 45 free throws out of 60 free throws attempted. What was his percentage of free throw shots made?
Answer:
Step-by-step explanation:
I think it is 75%
Answer:
The answer is 75%
.
Step-by-step explanation:
A car rental company has started renting large motorcycles. The rental fee is $35 a day plus $0.50 per mile. When Nicholas returned his rent ed motorcycle, the odometer read an increase of 452 miles, and his bill totaled $296. For how many days did Nicholas rent the motorcycle?
The drama department at Oak Hill High School is hosting a spring play. Tickets for the play are $4 for students (s) and $6 for adults (a). The drama department wishes to raise at least $1600 from this play and have at least 300 people attend the play.
Part A:
Which of the following systems of inequalities models this situation?
4s + a ≥ 1600
s + 6a ≥ 300
4, s, + , a, ≥ 1600, , s, + 6, a, ≥ 300
4s ≥ 1600
6a ≥ 300
4, s, ≥ 1600, , 6, a, ≥ 300
4s + 6a ≥ 1600
s + a ≥ 300
4, s, + 6, a, ≥ 1600, , s, + , a, ≥ 300
6a ≥ 1600
4s ≥ 300
Answer:
pretty sure its c
Step-by-step explanation:
4s+6a represents how much money the tickets cost per person and they want to raise at least 1600 dollars
s+c represents how many people and they want at least 300 people to attend.
not sure what that last bit is but c is the most logical answer
Find the measure of angle x
3x
45
Answer:
.3x = 45Divide 3 both sides.x = 15PLEASE HELPPPPP ME I HAVE SO MUCH TO DO ONLY 2 questions
Answer:
1)37.68
2) 113.04
Step-by-step explanation:
So for number 1, circumfence is diameter times pi, so diameter is 12 and assuming 3.14 for pi then 12(3.14)=37.68
Number 2, the area of a circle is pi(radius)^2 so we know the diameter is 12 and to find raidus we divide 2 since raidus is half of the diameter, square the radius which is 6^2 which will give you 36, assuming pi is 3.14 multiply 36 by 3.24, 36(3.14)=113.04
When this 3 digit number is rounded to the nearest ten, it rounds to 350. The number is less than 360 and greater than 350. The ones digit is an even number that you count after 2. What is the number?
In applications, most initial value problems will have a unique solution. In fact, the existence of unique solutions is so important that there is a theorem about the existence and uniqueness of a solution. Consider the initial value problem dy/dx=f(x,y), y(x) = yo. If f and f/y are continuous functions in some rectangle R= {(x,y):a Use the method of separation of variables to find the solution to dy/dx =y1/3? Begin by separating the variables. dy= dx
Answer:
The answer is "[tex]\bold{ y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]"
Step-by-step explanation:
By using the given method we separate the above-given variable and find the solution of:
[tex]\bold{\frac{dy}{dx} =y^{\frac{1}{3}}}[/tex]
Solution:
[tex]\to \frac{dy}{dx} =y^{\frac{1}{3}}\\\\\to \frac{dy}{y^{\frac{1}{3}}} =dx\\\\\to y^{ - \frac{1}{3}} dy =dx\\\\[/tex]
Integrate the above value:
[tex]\to \int y^{ - \frac{1}{3}} dy = \int 1 dx\\\\\\\to \frac{y^{ - \frac{1}{3} +1}}{- \frac{1}{3} +1} = x \\\\ \\\to \frac{y^{ \frac{-1 +3}{3}}}{ \frac{-1+3}{3} +1} = x \\\\\\\to \frac{y^{ \frac{2}{3}}}{ \frac{2}{3} +1} = x \\\\\\\to \bold{y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]
someone helpp porfavor
Answer:
I'm pretty sure it's b, hope it's right
Find the quotient of 92.4 divided by 2.8
Answer:
33
Step-by-step explanation:
92.4/2.8 = 33
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
_____________________
→ Divide:
[tex]92.4[/tex] ÷ [tex]2.8=33[/tex]For my work shown I have included a picture._____________________
[tex]Hope~this~helps![/tex]
[tex]-Shane,~SpamIsTheMan :)[/tex]
solve this please!!!!
Answer:
$168 or $168.00
Step-by-step explanation:
an = a^1 + (n-1)d = 78 + (2 - 1)90
= $168 or $168.00
can someone please help me with this problem
Answer:
I think that the answer is 83 but im not sure. I tried to solve it and i got 83. I hope its right.
what's 0 + 0 plz need help
Answer:
0
Step-by-step explanation:
For the function f ( x ) = − 2x^2 + 2x + 8 , evaluate and fully simplify each of the following.
f ( x + h ) =
f ( x + h ) − f ( x ) =
Answer:
[tex]f(x+h)=- 2x^2-4xh-2h^2 + 2x+2h + 8[/tex]
[tex]f ( x + h ) - f ( x )= h(-4x-2h+2)[/tex]
Step-by-step explanation:
Given the function:
[tex]f ( x ) = - 2x^2 + 2x + 8[/tex]
Find
f ( x + h )f ( x + h ) - f ( x )Recall the identity to square a binomial:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]f(x+h)=- 2(x+h)^2 + 2(x+h) + 8[/tex]
Squaring the binomial:
[tex]f(x+h)=- 2(x^2+2xh+h^2) + 2(x+h) + 8[/tex]
Multiplying:
[tex]\boxed{f(x+h)=- 2x^2-4xh-2h^2 + 2x+2h + 8}[/tex]
--------------------------------------------------------------
To compute f ( x + h ) - f ( x ), we use the last result:
[tex]f ( x + h ) - f ( x )=- 2x^2-4xh-2h^2 + 2x+2h + 8-(- 2x^2 + 2x + 8)[/tex]
Multiplying:
[tex]f ( x + h ) - f ( x )=- 2x^2-4xh-2h^2 + 2x+2h + 8+ 2x^2 - 2x - 8[/tex]
Simplifying similar terms:
[tex]f ( x + h ) - f ( x )= -4xh-2h^2+2h[/tex]
Factoring:
[tex]\boxed{f ( x + h ) - f ( x )= h(-4x-2h+2)}[/tex]
Note: This expression is commonly used to compute the first derivative of a function by its definition.
What should the following equation be multiplied by in order to eliminate the fractions?
x/2 + x/3 = 25/3
A. 6
B. 9
C. 5
D. 25
Answer:
A. 6
Step-by-step explanation:
1. Find the lowest common denominator of the fractions: the lowest common factor of the existing denominators. Here it would be 2 x 3= 6. This is the lowest number that could be the denominator of all of the fractions.
2. Convert all of the fractions so that they have the lowest common denominator.
To do this:
[tex]\frac{x}{2}[/tex] x [tex]\frac{3}{3}[/tex] (equivalent to 1, so doesn't change value of fraction)= [tex]\frac{3x}{6}[/tex]
[tex]\frac{x}{3}[/tex] x [tex]\frac{2}{2}[/tex]= [tex]\frac{2x}{6}[/tex]
[tex]\frac{25}{3}[/tex] x [tex]\frac{2}{2}[/tex]= [tex]\frac{50}{6}[/tex]
3. Now, since all of the fractions have the same denominator (all of the top numbers are divided by the same number on the bottom), then entire equation can be multiplied by this number to eliminate the fractions.
([tex]\frac{3x}{6} + \frac{2x}{6} = \frac{50}{6}[/tex]) x 6 gives us: 3x + 2x=50
4. So, the answer would be A. 6, as this is the number that we multiplied the equation by to remove the fractions.
Answer:
I hope this helps.
Step-by-step explanation:
Find the circumference of a circle with radius, r = 12m.
Give your answer in terms of π.
Answer:
C = 24 pi meters
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi * 12
C = 24 pi meters
Answer:
24π
Step-by-step explanation:
The circumference of a circle uses this equation: [tex]2\pi r[/tex]. Just like the last question I answered, you want to give the answer in terms of pi, so we aren't going to multiply pi.
The question gives us the radius so we don't have to divide anything, we plug in r with 12 as is.
[tex]C=2\pi 12[/tex]
Now multiply the 2 and the 12 so it will be in terms of pi.
[tex]C=24\pi[/tex]
In terms of pi, the circumference is 24π.
The roots of a quadratic equation are 5 and 2/3. If one of the two factors is x-5, what could be a second
factor?
Explain your reasoning.
Answer:
Step-by-step explanation:
Given the roots of quadratic equation to be 5 and 2/3, the two factors are x-5 and x-2/3.
The variable in question are both subtracted from the root given to get the actor of the quadratic equation or polynomial. We can get the resulting quadratic function by multiplying both factors together as shown;
(x-5)(x-2/3)
= x²- 2x/3 -5x +10/3
= x²-(2x-15x)/3+10/3
= x²-17x/3 +10/3
Multiply through by 3
= 3x²-17x +10 = 0
The resulting quadratic equation for both factors will be 3x²-17x +10 = 0 and the other factor is x-2/3
Express 80 as the product of prime factors write the prime factors in ascending order
Answer:
2^4 x 5
Step-by-step explanation:
Step-by-step explanation:
I hope u understood it....
Suppose Johnny invests $2,745 into an account, which has been earning interest for many years and he now has a total of $39,974. In two or more sentences explain why a negative number would/wouldn’t be reasonable in the solution of the rate he received on his investment.
Answer:
i don't understand your question
Answer:
Please Elaborate the question, I cannot understand
How do you write 350 in scientific notation?
All the work is attached for you below.
If triangle ABC is dilated with scale factor of 2.5, find the length of A’B’ given A( 0,0), B(-4.5, -4.5) and C(-2.5, 2.5) and then find the midpoint of A’B’
Answer:
b
Step-by-step explanation:
You are making cookies for a party. You are not sure
whether you will have 12 friends or 20 friends show up
at the party, and you want each person to have the same
number of cookies. What is the least number of cookies
you must make in order to share equally with either 12
friends, or with 20 friends?
A figure is rotated 180°clockwise, then 90°counterclockwise. Which single rotation is equivalent to this?
Answer:
90
Step-by-step explanation:
180-90
clockwise-counterclockwise
A single rotation of 90° in the clockwise direction is equivalent to the rotation given.
For the image of a figure to overlap with itself, the amount by which the figure should be rotated is?For the image of a figure to overlap with itself, the figure should be rotated by 360°
We have a image that is is rotated 180°clockwise, then 90° counterclockwise.
The rotation of the image which is is rotated 180°clockwise first and then 90° counterclockwise can be replaced by a single rotation of 90° in the clockwise direction. Mathematically -
Ф = + 180° + (-90°) = + 90°
Therefore, a single rotation of 90° in the clockwise direction is equivalent to the rotation given.
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Which algebraic expression models the word phrase 40 fewer than a number t?
−40t
t+40
40−t
t−40