Answer
A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.
Step-by-step explanation:
Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.
A family of 2 children and 1 adult visited an amusement park and paid an entry fee of $90. Another family of 3 children and 2 adults visited the same amusement park and paid an entry fee of $155. What is the entry fee for a child at the amusement park?
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\leadsto[/tex]Let us assume entry fee for child be x
[tex]\leadsto[/tex]Let us assume entry fee for adult be y
[tex]\\[/tex]
[tex]\longrightarrow[/tex]Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) [/tex]
[tex]\longrightarrow[/tex]Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -
[tex]\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) [/tex]
Multiplying eq (1) by 2 it will be -
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) [/tex]
Subtracting eq(2) from eq(3) -
[tex]\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} [/tex]
Thus , entry fee for a child at the amusement park = $ 35
1. After quarantine is over, you and your family are planning to rent a van for a 1-day trip to Knott’s Berry Farm in Buena Park, CA. For the type of van, your family would like to rent, you can choose from the following options:
• Enterprise Rent-A-Car: $50 per day and $0.25 a mile
• Alamo Car Rental: $45 per day and $0.35 a mile
• Budget Car Rental: $40 per day and $0.30 a mile
• Hertz Car Rental: $30 per day and $0.45 a mile
• Thrifty Car Rental: $35 per day and $0.50 a mile
(a) Choose two of the car rental companies above that you would like to compare prices for and write a mathematical model to represent the cost of renting a van from the two companies.
Rental Company Choice Mathematical Model
A.
B.
(b) Graph these mathematical models in each blank graph provided on the next page. Make sure your model A matches graph A and your model B matches graph B. Please label the graph axes appropriately.
9514 1404 393
Answer:
A) Enterprise: E(x) = 50 +0.25x; Hertz: H(x) = 30 +0.45x
B) see attached graph
Step-by-step explanation:
A) We choose to compare Hertz (lowest daily charge) and Enterprise (lowest mileage charge). In each case, the total charge will be the sum of the daily charge and the product of the mileage charge and number of miles (x).
Enterprise: E(x) = 50 +0.25x
Hertz: H(x) = 30 +0.45x
Find x
Somebody please help me
Answer:
x=106
Step-by-step explanation:
I stitched a photo on how i got to my answer.
your aunt gave you 20 pieces of candy and you ate 2 pierced each day after a certain number of days there are 8 pieces how many days before there were only 8 pieces left?
Answer:
I believe 11 days.
Step-by-step explanation:
If you're looking for how many days until you had 8 including that day then it would be 11. But if you're just looking for days before, not including the day you got 8, your answer would be 10. Sorry if this doesn't help. Hope you have a good day/night!
Answer:
Step-by-step explanation:
set it up as an algebra equation- 20 = 2x - 8. You subtract 8 from the 20 original candy, since that’s what you have left. You end up with 16 candy.
divide by 2, for 2 candies a day, and you end up with 6.
You eat that much candy in 6 days
the running back for the bulldogs football team carried the ball 5 times for the total of losses of 11 1/4 yards. find the avrege change in field positionon each run. enter the evrege change as a simplified mixed number
Answer:
-2 1/4
The average change in the field position run was -2 1/4 yards
This stuff is so confusing can anyone help
Answer:
question 10: 66
Step-by-step explanation:
[tex] \frac{6 \times 121}{11} = 66[/tex]
Two crocodiles together can finish their snacks in 40 seconds
Answer:
That is an interesting fact! Thank you. If you need help, let me know and I may be able to help.
[tex]:)[/tex]
The time it will take the second crocodile to finish its snack is 120 seconds
Ratio and proportionsLet x represent the rate of the first crocodile and let y represent the rate of the second crocodile.
The two crocodiles working together can finish a snack in 40 seconds. Thus;
(1/x + 1/y)40 = 1
It takes one of the crocodiles 60 seconds to finish its snack. Thus;
(1/x + 1/60)40 = 1
40/x + 2/3 = 1
x = 120 seconds
Read more about ratios and proportions here at; brainly.com/question/12442233
Complete question:
Two crocodiles together can finish their snack in 40 seconds. one of the crocodiles can finish the snack in 60 seconds. how long will it take the second crocodile to finish the same snack?
(b) A restaurant bill that comes to €200 is
to be divided equally among a group of
people. However, three people leave before
the bill is settled and the remainder of the
group have to pay an extra €15 each.
How many people were originally in the
group?
Answer:
it might be 13/3 or just 13
Step-by-step explanation:
try doing 200 divided by 15
area of a trapezoid TRAP show work
Answer:
1020 cm²
Step-by-step explanation:
I assume that the parallel sides are TR and PA. Those are the bases.
A = (base1 + base2)h/2
A = (54 cm + 31 cm)(24 cm)/2
A = 1020 cm²
A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?
Answer:
The answer is 22.
Step-by-step explanation:
if it started with 860 and in 8 hours it has 1036 then you would subtract 1036 - 860 which is 176 and that divided by 8 is 22. hope that helps. :)
Answer:
22 gallons per hour
Step-by-step explanation:
1036-860=176
176/8=22
22 gallons per hour is your answer
PLS HELP !!!
have a good day B)
Answer:
it is a wild flamenco
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!!!!
Answer:2/5
Step-by-step explanation:
Answer: The answer would be D
Step-by-step explanation: To solve this problem you first need to add up all the total number of bills, which is 20. Then you want to format it 8/20 because there are 8 twenty dollar bills which means there is an 8/20 chance for you to get a twenty. Then simplify it if you can.
To find the answer to the problem, solve the
system of equations for x.
y = 200 + 10x
y = 50x
Answer:
the first one ---> x=[tex]\frac{y-200}{10}[/tex]
second one ----> x=[tex]\frac{y}{50}[/tex]
Step-by-step explanation:
During each week of piano lessons, Elijah learns to play 2 new pieces. In all, how many weeks of piano lessons will Elijah need before he will be able to play a total of 8 pieces?
Answer:
4 weeks
Step-by-step explanation:
you just take 8/2 and you get 4
Answer:
4 weeks
Step-by-step explanation:
A garden shop manager tracks the inventory of seed packets in the store for a month based on
the initial amount in the store and the number of purchases per week. The function
P(t) = -34t + 200 represents the number of seed packets remaining after t weeks.
What does 200 represent in the function P(t)?
O the y-intercept of the function and the number of seed packets purchased each week
the y-intercept of the function and the initial number of seed packets at the beginning of the
month
O the slope of the function and the number of seed packets purchased each week
O the slope of the function and the initial number of seed packets at the beginning of the month
Using linear function concepts, it is found that the meaning of 200 in the function P(t) is given by:
the y-intercept of the function and the initial number of seed packets at the beginning of the month.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, the function is:
[tex]P(t) = -34t + 200[/tex].
The slope is of m = -34 and the y-intercept is of b = 200, hence the correct option is:
the y-intercept of the function and the initial number of seed packets at the beginning of the month.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Solve x÷2<4. Graph the solution.
Answer:
The solutions are (-2, 0) and (1, 3).
Step-by-step explanation:
Edginuity Sample response: The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2. We want to solve
-x² + 4 = x + 2
Create two curves as follows:
y = -x² +4
and
y = x + 2
By graphing the two curves together, their points of intersection are the solutions.
y = -x² + 4 is a parabola with vertex at (0, 4), and it opens downward.
y = x + 2 is a straight line with slope - 1 and with y-intercept = 2
The points of intersection are (-2, 0) and (1, 3).
Norton started driving at 9 am by noon he had traveled 162 mi what was his average speed?
Answer:
54mph (or 54 mi/h)
Step-by-step explanation:
9 am to the noon is 3 hours.
S=d/t where S=average speed, d=distance, and t=time
S=162/3=54
Hope that helps!!!
Answer:
54 mph
Step-by-step explanation:
Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54. This is correct
How do I simply the following equation?
(c^2/b + cb) /a
Please give an in-depth explanation, I didn’t understand the explanation my teacher gave me. Thank you!!
Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc on yutube and a video named that should show up
Step-by-step explanation:
this video helped me hope it could help you as well!
Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles
Answer:
4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tilesStep-by-step explanation:
Given the equation [tex]-4x + (-2) = 3x+(-5)[/tex], we are to evaluate by finding x
open the parenthesis
[tex]-4x -2 = 3x-5[/tex]
collect like terms
[tex]-4x-3x = -5+2\\-7x = -3[/tex]
Find the value of x
[tex]\frac{-7x}{-7} = \frac{-3}{-7}\\ x = \frac{3}{7}[/tex]
Expressing the function in terms of tiles will give 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles
Note that each terms of the expression were written in tems of tiles. The value with no variables (the constants) are all multiplied with 1 tiles each while those with x variables are multiplied by x tiles based on the sign (whether positive or negative)
Answer:
C
Step-by-step explanation:
There are 32 students in a class. Nine of those students are girls. What percent are boys? (Round your answer to the nearest WHOLE person.)
How many solutions does this system have?
X + 2y = 0
10y = -5x
Choose the correct answer below.
No solution
O Exactly one solution
O Infinitely many solutions
Click to select your answer.
Answer:
Infinitely many solutions
Step-by-step explanation:
Given the system:
[tex]\left \{ {{x+2y=0} \atop {10y=-5x}} \right.[/tex]
One way to do it is to use substitution. That means we want to isolate one of the variables in one equation so we can plug it into the other equation. We can isolate [tex]x[/tex] in the first equation by subtracting [tex]2y[/tex] from both sides.
[tex]\left \{ {{x=-2y} \atop {10y=-5x}} \right.[/tex]
Now we know what [tex]x[/tex] is, so we can plug it into the bottom equation.
[tex]10y=-5(-2y)[/tex]
Then we simplify the right side:
[tex]10y=10y[/tex]
Then we divide both sides by 10:
[tex]y=y[/tex]
Since [tex]y[/tex] will ALWAYS be equivalent to itself, no matter what, we know that there are infinitely many solutions.
A dart player made 59 bulls eyes out of 100 attempted throws. What percent of the throws were pills eyes please helppppp
Answer:
59 percent
Step-by-step explanation:
59 divided by 100 is 0.59, which means 59 percent.
Also, when the total is 100, then the amount out of 100 is the percent ( 59 out of 100 is 59 percent, because it is out of 100).
Help me with my math 8th grade
3c means = 3 x c
2c means = 2 x c
and so on
so if c = - 3
3 x (-3) x (2 x (-3) - 1) - 5 x (3 x (-3)² + (-3))
= -9 x (-6 - 1) - 5 x (3 x 9 - 3)
= - 9 x (-7) - 5 x (27 - 3)
= 63 - 5 x 24
= 63 - 120
= - 57
Answer :
- 57Given expression :
[tex]{ \longrightarrow\qquad \sf 3c(2c-1)-5(3c {}^{2} +c)}[/tex]
⠀
When c = (-3) ,
⠀
[tex]{ \longrightarrow\qquad \sf 3( - 3) \bigg[2( - 3)-1 \bigg]-5 \bigg[3( - 3){}^{2} +( - 3) \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 6-1 \bigg]-5 \bigg[3( 9)+( - 3) \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf - 9 \bigg[ - 7 \bigg]-5 \bigg[27 - 3 \bigg]}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf 63-5 \bigg(24 \bigg)}[/tex]
⠀
[tex]{ \longrightarrow\qquad \sf 63-120}[/tex]
⠀
[tex]{ \longrightarrow\qquad \bf - 57}[/tex]
⠀
Therefore,
The value of the expression when c = (-3) is -57You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?
The second wedge has a greater volume and it is greater by 4.125 in³.
Volume of each wedgeSince the each cheese wedge has a triangular base, its volume V = 1/2bhw where
b = length of base of triangle, h = height of triangle and w = thickness of wedgeVolume of first wedge
Given that for the first wedge, b = 2.5 in, h = 4.5 in and w = 3 in, its volume V' = 1/2bhw
= 1/2 × 2.5 in × 4.5 in × 3 in
= 33.75 in³/2
= 16.875 in³
Volume of second wedge
Given that for the second wedge, b = 3 in, h = 4 in and w = 3.5 in, its volume V" = 1/2bhw
= 1/2 × 3 in × 4 in × 3.5 in
= 42 in³/2
= 21 in³
Since V" = 21 in³ > V' = 16.875 in³, the second wedge has a greater volume.
Amount it is greater byThe amount its is greater than the first volume is the difference in their volumes. V" - V' = 21 in³ - 16.875 in³
= 4.125 in³
The second wedge has a greater volume and it is greater by 4.125 in³.
Learn more about volume of wedge here:
https://brainly.com/question/15901155
Please help. I will give Brainly it really would help
Answer: The following image lays out everything you for you. Glad I could help!
Find the slope between the points (-6, 1) and (7,5).
Answer:
4/13
Step-by-step explanation:
Can someone please help?
Answer:
k=−(x−h) 2+r 2 +y
Step-by-step explanation:
Subtract (x−h) from both sides of the equation.
Subtracting (x−h) from itself leaves 0.
Subtract (x−h)from r
Take the square root of both sides of the equation.
Subtract y from both sides of the equation.
subtracting y from itself leaves 0.
Dividing by −1 undoes the multiplication by −1.
- 9x = 81 plsssss help me will cash app put it below the answer !
what is the slope of the line
Answer:
-1/3.
Step-by-step explanation:
The line passes by the points (-4,1) and (2,-1). The slope is:
(-1-1)/(2-(-4))=(-2)/6=-1/3
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
Check the picture below.