Answer:
Below is the procedure to find the answer: 30,000 hot dogs.
Explanation:
The average cost is found dividing the total cost by the number of hot dogs:
[tex]Average\text{ }cost=Total\text{ }cost/Number\text{ }of\text{ }hot\text{ }dogs[/tex]
The total cost is the the sum of amount that you invest plus the product of the cost of producing each hot dog times the number of hot dogs:
[tex]Total\text{ }cost=investment+Number\text{ }of\text{ }hot\text{ }dogs\times cost\text{ }to\text{ }produce\text{ }each\text{ }hot\text{ }dog[/tex]
Substitute the values:[tex]Total\text{ }cost=15,000+0.65x\\ \\ Averate\text{ }cost=(15,000+0.65x)/x=1.15[/tex]
Where x is the number of hot dogs.
Solve for x from the equation:[tex](15,000+0.65x)/x=1.15\\ \\ 15,000+0.65x=1.15x\\ \\ 15,000=1.15x-0.65x\\ \\ 15,000=0.5x\\ \\ 15,000/0.5=x\\ \\ 30,000=x\\ \\ x=30,000[/tex]
Which shows you how you can find that the answer is 30,000 hot dogs.
Final answer:
To find the number of hot dogs needed to achieve an average cost of $1.15, including a fixed investment of $15,000 and a variable cost of $.65 per hot dog, the calculation reveals that 30,000 hot dogs must be sold to reach this target.
Explanation:
The question asks how many hot dogs must be sold before the average cost per hot dog is $1.15, given an initial investment of $15,000 and a production cost of $.65 per hot dog. To find the break-even point in terms of units sold to reach the target average cost, we use the formula to calculate average cost: Average Cost = (Fixed Costs + Variable Costs) / Quantity. Here, the fixed cost is the initial investment of $15,000, and the variable cost is $.65 per hot dog.
To find the number of hot dogs needed to achieve an average cost of $1.15, we set up the equation: $1.15 = ($15,000 + $.65Q) / Q. Solving for Q gives us 30,000 hot dogs as the break-even point where the average cost per hot dog would be $1.15.
This calculation allows the business owner to understand how many units need to be sold to overcome the initial investment and start making a profit on each hot dog sold at or above $1.15.
Write a system of equations to describe the situation below. Sparkles the Clown makes balloon animals for children at birthday parties. At Jenny’s party, she made 2 balloon poodles and 2 balloon giraffes, which used a total of 12 balloons. For Roger’s party, she used 27 balloons to make 4 balloon poodles and 5 balloon giraffes. How many balloons does each animal require?
A system of equations to represent the situation with Sparkles the Clown is: 2p + 2g = 12 for Jenny's party and 4p + 5g = 27 for Roger's party. We can use substitution or elimination methods to solve for 'p' and 'g' to determine the number of balloons needed for each animal.
Explanation:To write a system of equations based on the given situation with Sparkles the Clown, we will let 'p' represent the number of balloons needed for a poodle and 'g' represent the number of balloons needed for a giraffe. From Jenny's party, we know that 2 poodles plus 2 giraffes used a total of 12 balloons. From Roger’s party, we learn that 4 poodles plus 5 giraffes used a total of 27 balloons. Therefore, our system of equations to represent this situation is:
2p + 2g = 12 (Jenny's party)4p + 5g = 27 (Roger's party)To solve this system of equations, we could use methods such as substitution or elimination to find the values of 'p' and 'g' which would tell us how many balloons are required for each balloon animal.
Final answer:
To find out how many balloons are required for each balloon animal, we set up a system of equations with p representing the number of balloons for a poodle, and g for a giraffe. The system is based on the balloon usage at two parties, resulting in the equations 2p + 2g = 12 and 4p + 5g = 27.
Explanation:
To solve the problem of how many balloons Sparkles the Clown needs for each type of balloon animal, we need to set up a system of linear equations based on the given information. We will let p represent the number of balloons needed for a poodle, and g represent the number for a giraffe.
From Jenny's party, we have the first equation:
2p + 2g = 12
From Roger's party, we have the second equation:
4p + 5g = 27
Now, we have established our system of equations:
1) 2p + 2g = 12
2) 4p + 5g = 27
Solving this system will give us the number of balloons needed to make each type of balloon animal.
how to solve 6x-9 = 3x + 4
Subtract 3x on both sides: 6x-3x-9=3x-3x+4 which is 3x-9=4
Add 9 to both sides: 3x+9-9=4+9 which is 3x=13
Divide both sides by 3 to get x=13/3 or 4 1/3
Hope this helped!
Answer:
x = 13/3 = 4.333
Step-by-step explanation:
6*x-9-(3*x+4)=0
Step 1 :
Solving a Single Variable Equation :
Solve : 3x-13 = 0
Add 13 to both sides of the equation :
3x = 13
Divide both sides of the equation by 3:
x = 13/3 = 4.333
2 Points
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,2)
slope =
O A. y= 2x-}
O B. y=-x-2
O C. y=-_x+2
O D. y= 2x+
Answer:
the answer is C
Step-by-step explanation:
In the y intercept formula which is y=Mx+b the b in the formula represents the y intercept
3 is 50% of what number
what is the range of the function f(x)=12-3x for the domain {-4,-2,0,2,4}
A) 24,18,12,6,20
B) 6,12,18,24,30
C) -12,-6,0,6,12
D) 0,6,12,18,24
Answer:
D) 0,6,12,18,24
Step-by-step explanation:
Given that S is the centroid of triangle MNO, find SQ.
Answer:
|SQ|=5
Step-by-step explanation:
If S is the median, then OP is a median of triangle OMN.
This implies that:
|MP|=|NP|
[tex]3x-4=x+4[/tex]
We group like terms and solve for x.
[tex]3x-x=4+4[/tex]
[tex]\implies 2x=8[/tex]
[tex]\implies x=4[/tex]
Now we know that: MN:SQ=2:1
But MN=2x+2
This implies that:
2x+2:SQ=2:1
Put x=4
2(4)+2:SQ=2:1
10:SQ=2:1
Therefore |SQ|=5
A degree may seem like a very small unit but an error of one degree in measuring an angle may be very significant. For example, suppose a laser beam directed toward the visible center of the moon misses its assigned target by the amounts specified below. How far is it (in miles) from its assigned target in each case? (Use 234,000 miles as the distance from the surface of the earth to the surface of the moon.)
a: 1 degree
b: 30” (that’s 0 degree 0’ 30”)
To calculate the distance by which a laser beam misses its target on the moon due to an angular error, one can use the tangent function with the Earth-moon distance. For an error of 1 degree, it would miss by approximately 4,080 miles, and for an error of 30 arcseconds, by about 34 miles.
To find out how far a laser beam directed toward the center of the moon misses its target by 1 degree, we can use a simple trigonometric calculation. Since we are dealing with a right-angled triangle with the Earth-moon distance as one leg (the adjacent leg in this case), and we want to find the opposite leg which represents the distance on the moon's surface from the intended target, we can use the tangent function.
For an error of 1 degree:
Convert the degree to radians, because trigonometric functions in calculators usually use radians. There are π radians in 180 degrees, so 1 degree is (π/180) radians.
Use the formula distance = tangent of the angle in radians × Earth-moon distance. So distance = tan(1° × (π/180)) × 234,000 miles.
Calculate the tangent of 1° in radians (approximately 0.01745) and multiply by 234,000 miles.
The result is approximately 4,080 miles.
For an error of 30 arcseconds (30″):
There are 60 arcseconds in 1 arcminute and 60 arcminutes in 1 degree, hence 30 arcseconds is 30/60/60 degrees, which equals 1/120 degrees.
Convert 1/120 degrees to radians similarly as before.
Use the same tangent formula: distance = tan((1/120)° × (π/180)) × 234,000 miles.
Calculate the tangent of (1/120)° in radians (approximately 0.000145444) and multiply by 234,000 miles.
This results in approximately 34 miles from the assigned target.
How do you evaluate 2x3x5
Answer:
Step-by-step explanation:
Answer:I think it's 30
Step-by-step explanation:
Because 2x3=6 and 6x5= 30
I WILL GIVE BRAINLIEST
Solve for r
-13 = r/9 + 8
r=
Answer:
r= -45
Step-by-step explanation:
trust on this one
Answer:
-189
Step-by-step explanation:
WORTH 100 POINTS
A plane is racing a helicopter to a runway traveling 31 mph and it tends to burn 5 gallons of gas ever 3 minutes. Whilst the helicopter is traveling at a speed of 45 mph burning 7 gallons of gas every 5 minutes. They both started with the same amount of fuel (80 gallons) and both have the same amount to travel ( 640 miles) Who will make it first using the less amount of fuel?
Does this problem work?
If so what is the answer?
Show your work please
Answer:
The problem does not work.
Step-by-step explanation:
The plane with speed of 31 mph will cover 640 miles in [tex]\frac{640}{31} = 20.64[/tex] hours.
Now, it burns 5 gallons of gas every 3 minutes i.e. 0.05 hours.
So, it will burn in 20.64 hours [tex]\frac{5 \times 20.64}{0.05} = 2064[/tex] gallons.
Now, the helicopter with speed of 45 mph will cover 640 miles in [tex]\frac{640}{45} = 14.22[/tex] hours.
Now, it burns 7 gallons of gas every 5 minutes i.e. 0.083 hours.
So, it will burn in 14.22 hours [tex]\frac{7 \times 14.22}{0.083} = 1194.48[/tex] gallons.
But both of them starts with only 80 gallons of fuel.
Therefore, the problem does not work. (Answer)
What are the measurments of <BEC and <ABE
Check the picture below.
well, then we know that (3x-5) + (4x+10) = 180, so
[tex]\bf (3x-5)+(4x+10)=180\implies 7x+5=180\implies 7x=175 \\\\\\ x = \cfrac{175}{7}\implies x = 25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \measuredangle BEC}{3x-5\implies 3(25)-5\implies 70} \\\\\\ \stackrel{~\hfill \measuredangle ABE}{180 - (x-5)\implies 180-(25-5)\implies 180-20\implies 160}[/tex]
Someone help.
What is 3y+39=16y
Answer:
y=3
Step-by-step explanation:
Step 1: Subtract from both sides
3y+39-16y=16y-16y
-13y+39=0
Step 2: Subtract 39 from both sides
-13y+39-39=0-39
-13y=-39
Step 3: Divide Both sides by -13
-13y/-13=-39/-13
y=3
Solve write or draw to explain Saul and Luisa each scored 167 points on computer games How many points did they score together
Answer:167 + 167 = 334
Step-by-step explanation:
A sign id front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this height is:
34 inches?
54 inches
Answer:
85%
135%
Step-by-step explanation:
34/40=.85
.85 times 100= 85%
54/40=1.35
1.35 times 100=135%
sorry if its wrong!
What is the area of the triangle?
Answer:
14
Step-by-step explanation:
Answer: Area = 14 [tex]units^{2}[/tex]
Step-by-step explanation:
The formula for calculating the area of Triangle is given by :
Area = [tex]\frac{1}{2}[/tex] x base x height
From the given triangle
base = 4
height = 7
substituting into the formula
Area = [tex]\frac{1}{2}[/tex] x 4 x 7
Area = [tex]\frac{1}{2}[/tex] x 28
Area = 14 [tex]units^{2}[/tex]
usually 1/1000 of the headphones cannot pass the tests . if they found 5 headphones failing, how many headphones did the workers test?
Answer: 5000
Step-by-step explanation: 5/5000
The workers tested 5000 headphones.
Explanation:To find out how many headphones the workers tested,
We can set up a proportion to solve the problem:
1/1000 = 5/x
Cross multiplying, we get:
x = 5 * 1000
x = 5000
Therefore, the workers tested 5000 headphones.
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ANSWER THIS FAST
BRANLIEST IS ON THE LINE in
Answer:
Option A.) is correct [tex]\triangle XYZ \sim \triangle WVZ[/tex] by AA similarity. There are two angles that are congruent given by [tex]\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW[/tex].
This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.
Step-by-step explanation:
From the given figure we can say that
i) Option A.) is correct [tex]\triangle XYZ \sim \triangle WVZ[/tex] by AA similarity. There are two angles that are congruent given by [tex]\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW[/tex].
This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.
2x-7y=12 for y answer please
Answer: If you want mx + b= y form and you want the y intercept, then the answer would be 2x/7 - 12/7 = y. The y intercept is b, so it is 12/7.
Step-by-step explanation: 2x - 7y = 12
Move -7y to the other side: 2x= 12 + 7y
Subtract 12 to the left side: 2x - 12 = 7y
Then divide 7 into everything: 2x/7 - 12/7 = 7y/7
The 7s in the right side cancel out, so the equation is now: 2x/7 - 12/7 = y
The y intercept is b, which is the second term in the equation, so the
Y Equals : 12/7
I hope this is what you are looking for!
Answer:
y = − 12 /7 + 2 x /7
Step-by-step explanation:
What is the solution 4x+6<18
Answer:
x < 3
Step-by-step explanation:
4x +6 < 18
add and subtract 6 from both sides
4x + 6 - 6 < 18 -6
4x < 12
x< 12/4
X < 3
Answer:
x < 3
Step-by-step explanation:
I took the test its, the right answer, trust me.
2×1 1/2 -1 1/2×1 1/2
Answer:
3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Write an equation that relates y, and the dependent quantity, to x, the independent quantity, if the slope is 2/3 and the y-intercept is -7.
Answer:
Step-by-step explanation:
y = mx + b....in this form, the slope will be in the m position and the y int will be in the b position
so ur equation is : y = 2/3x - 7
For abc shown with vertices at A(-2,6),B(8,-2) and C(-8,-4), shown using coordinate geometry that the segment connecting the midpoint of sides Ac and BC is half the length of side AB.
Answer:
It is proved that AB = 2 × DE.
Step-by-step explanation:
The three vertices of triangle ABC are A(-2,6), B(8,-2) and C(-8,-4).
So, the mid point of AC (say D) has coordinates [tex](\frac{- 2 - 8}{2},\frac{6 - 4}{2}) = (-5,1)[/tex].
And the mid point of BC (say E) has coordinates [tex](\frac{8 - 8}{2}, \frac{- 2 - 4}{2}) = (0, - 3)[/tex].
Now, the length of DE will be [tex]\sqrt{(- 5 - 0)^{2} + (1 + 3)^{2}} = \sqrt{41}[/tex] units.
Again, the length of AB will be [tex]\sqrt{(- 2 - 8)^{2} + (6 + 2)^{2}} = 2\sqrt{41}[/tex] units.
So, it is proved that AB = 2 × DE. (Answer)
Solve for X (simple)
Answer:
156°
Step-by-step explanation:
This is simply angle on a straight and this angle is 180°
X + 24 = 180
Collect like terms
X = 180 — 24
X = 156°
Find A n B if A = {4, 7, 10, 13, 17) and B = {3, 5, 7, 9)
Answer:
look at the picture ahown
a new stadium will seat 83,820. There will be 132 different sections. If each section seats same number of people, how many people will each section seat?
Answer:
635
Step-by-step explanation:
83,820 / 132 = 635
The graph below is a parabola, so it can be represented by a quadratic function. Which of the following quadratic functions could represent this graph.
y=-(x-2)^2-4
y=(x-2)^2+4
y=-(x+2)^2+4
y=-(x-2)^2+4
Answer:
y=(x-2)^2+4
Step-by-step explanation:
The quadratic function that represents the parabola is y = - (x - 4)² + 4.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
From the graph of the function, the parabola intersects the x-axis
at 0 and 4, and we also know when a parabola opens downwards the equation is negative.
So, The required equation is y = - (x - 0)(x - 4).
y = - (x² - 4x).
y = - {x² - 4x + 4 - 4}.
y = - { (x - 2)² - 4}.
y = - (x - 4)² + 4.
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WHICH STATEMENT IS TRUE ABOUT THE PRODUCT OF 5/12 X 7
Final answer:
The product of 5/12 multiplied by 7 is equal to 35/12.
Explanation:
The product of 5/12 multiplied by 7 is equal to 35/12. To multiply fractions, you multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Therefore, (5/12) x 7 = (5 x 7) / (12 x 1) = 35/12.
What is 129 multiply by 75
what is the a, b, and r for y=3.6(1.25)^x
Answer:
a=3.6, v=1.25 and r=25%
Step-by-step explanation:
The given exponential function is
[tex]y = 3.6 {(1.25)}^{x} [/tex]
We compare to the form:
[tex]y = a{(b)}^{x} [/tex]
We have a=3.6, b=1.25
The r is the percentage of increase or decrease.
We realized there is a 25% increase because
[tex]y = 3.6 {(1 + 25\%)}^{x} [/tex]
Hence
[tex]r = 25\%[/tex]
If a player is 20 feet away from the basket and wants to shoot the basketball the ball should be at its maximum height at what distance
Answer:
The ball would be at its peak at 8 feet from the basket.
Step-by-step explanation:
The basketball should be at its maximum height when it is 10 feet away from the player.
We have,
In a standard basketball shot, the path of the ball follows a parabolic arc. The maximum height is reached at the peak of this arc, which occurs halfway between the player and the basket.
The distance at which the basketball should be at its maximum height is half the distance between the player and the basket.
Half of 20 feet is 10 feet.
Therefore,
The basketball should be at its maximum height when it is 10 feet away from the player.
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