Answer:
900
Step-by-step explanation:
From the information given you can write the following equations:
x+y+z=8500 (1)
5x+6y+8.50z=64600 (2)
y=2x (3)
First, you can replace (3) in (2) and (1):
x+2x+z=8500
3x+z= 8500 (4)
5x+6(2x)+8.50z=64600
5x+12x+8.50z=64600
17x+8.50z=64600 (5)
Now, you have two equations:
3x+z= 8500 (4)
17x+8.50z=64600 (5)
Then, you can isolate z in (4):
z=8500-3x (6)
Next, you can replace (6) in (5):
17x+8.50(8500-3x)=64600
17x+72250-25.5x=64600
7650=8.5x
x=7650/8.5
x=900
You can replace the value of x in (3) to find y:
y=2x
y=2*900
y=1800
Finally, you can replace the value of x in (6) to find z:
z=8500-3(900)
z=8500-2700
z=5800
According to this, the answer is that 900 matinee tickets were sold.
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
Answer:
Yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution
Step-by-step explanation:
We are told that on a recent sample, the paper claims that 45% of all employees believe their company president possesses low ethical standards.
This means the chance of success is p = 45% = 0.45
Now, 20 of the company's employees are randomly and independently sampled. This means that for any amount of success within this sample number can be represented by;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
Where;
x is the number of possible successes
n is the number of trials
p is the chance or probability of success
C(n, x) is the number of possible combinations that could occur
This formula represents the binomial probability distribution formula.
So yes, the probability distribution for the number of years of experience can be modelled by a binomial probability distribution
(a) On the grid above, draw the line x = 3
The Graph will look like this:
The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.
The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.
To visualize the line x = 3 on a graph:
1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.
2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.
The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.
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1f f(x) = ***, g(x) = x+4, and h(x) - 3x-2, what is (nofog)(x)?
o (hofog)(x) = -2
o (hofog)(x) = 3X-8
o (hºfog)(x) = *=14
(nofog)(x) - 3x-4
Answer:
first option y + 7 = –(x + 6) is correct option
Step-by-step explanation:
72 + (7x+24) = 180
need to find value of x with steps
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
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At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?
Answer:6960
Step-by-step explanation:
(16•48)+(86•72)=6960
how do i graph 2x+4y=12
Answer:
(0,3) (6,0)
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.
Answer:
44 km converte to miles is 27.3403.
Answer:
27,5 miles
Step-by-step explanation:
sooo, you need to see how many Miles Is 1km..
5:8= 0,625
So when we know 0,625 mile = 1km then
44x0,625 = 27,5
And the result is 27,5 miles
Jayden already owns 47 stamps, and additional stamps are priced at 0.05 per dollar. How
much money does Jayden need to spend on new stamps in order to have a total of 51
stamps in his collection?
Answer: If its .05 cents then only 20 cents to finish the collection I got that because 51 - 47= 4 and if it is .05 cents then I did 4 * 5 = 20
please please help me!!
Answer:
f(x)= - l x - (-4) l + 0
Step-by-step explanation:
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
Write the equation of the parabola in vertex form.
Vertex: (−3,7); Point: (−2,−5)
Answer:
y = - 12(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 3, 7 ), thus
y = a(x - (- 3))² + 7 , that is
y = a(x + 3)² + 7
To find a substitute (- 2, - 5) into the equation
- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )
- 12 = a(1)² = a
y = - 12(x + 3)² + 7 ← equation in vertex form
Please help answering these questions 10 points help please (look at the picture)
Answer:
46. -22
47. -22
48. 8
Answer:
46) -22
47) -22
48) 8
49) -8
50) -4
51) 4
Step-by-step explanation:
The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)
Answer:
The body is falling at 98 m/s after 4 seconds later.
Step-by-step explanation:
The magnitude of the speed of a body dropped from rest is:
[tex] v = gt [/tex]
So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:
[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]
Hence, the body is falling at 98 m/s after 4 seconds later.
I hope it helps you!
The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6-foot boat weighs 102 pounds, then what is the weight of a 11-foot boat? The weight of a 11-foot boat is nothing pounds
Answer:
The 11 foot boat ways 187 pounds
Step-by-step explanation:
102 / 6 = 17
17 * 11 = 187
Hello, I need an answer for this.
Answer:
3.19 x 10^6 kilometers
Step-by-step explanation:
can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math
Answer: Is it 24
Step-by-step explanation:
Help me out fast.....
Answer: 1,000
Step-by-step explanation:
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
A movie club charges a one-time
membership fee of $30. It allows
members to purchase movies for $7
each. Another club does not charge
a membership fee and sells movies
for $12 each. How many movies
must a member purchase for the
total cost of the two clubs to be the
same? Write an equation, and solve
the equation to determine the
solution.
Answer:
Step-by-step explanation:
Club A charges $30 membership fee and charges $7 for each movie.
You can write this as :
A = 30 + 7m (where m = number of movies)
Club B charges no membership fee and it costs $12 for each movie.
B = 12m
If we want to find how many movies a member must purchase for the total cost of the two clubs to be the same, this means we are trying to solve for "m" (number of movies) when A = B.
30 + 7m = 12m
Now you can just subtract 7m from both sides.
30 = 5m
Divide both sides by 5 to find "m'.
m = 30/5 = 6
Therefore a member must purchase 6 movies
Is y=3x^2+1 a linear or nonlinear equation?
Answer:
nonlinear
Step-by-step explanation:
because the axis is located below so its all gucci
Answer:
Nonlinear
Step-by-step explanation:
It's actually a parabola because it has a squared value.
Hope that helps and have a great day!
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
completely factor: 4t + 2rt + 8st
Answer:
2t(2 + r + 4s)
write the expression to (5x-3x^2)-(5x-2)*(10x+7x^2) in standard form
Expressions equivalent to (7^3 x^4)^0
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1
Answer this is your dont like the Teletubbies. Literally there your sleep paralysis!
Search them up if your dont know them!!!!
10 points!
Answer:
I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.
Step-by-step explanation:
Answer:
tramuatized
Step-by-step explanation:
teletubies are h e l l a wierd
help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
can someone help me with this
Answer:x+90+20=180,70*
Step-by-step explanation
i hope this helped :D
Which property is illustrated by the following statement
Answer:
Communitive
Step-by-step explanation:
It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7
Hope this helps
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
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m= -(4+ m) + 2
m=
what’s m?
Answer:
m = -1
Step-by-step explanation:
m= -(4+ m) + 2
Distribute
m = -4-m+2
m = -2-m
Add m to each side
m+m = -2-m+m
2m = -2
2m/2 = -2/2
m = -1