Answer:
A)
Adventureland.
B)
Coaster City
C)
5 People
Step-by-step explanation:
The cost of Adventureland for p people is:
[tex]A=20+9p[/tex]
And the cost of Coaster City for p people is:
[tex]C=40+5p[/tex]
Part A)
If four people is going on the trip, p = 4. So, the cost for Adventureland is:
[tex]20 + 9(4) = \$ 56[/tex]
And the cost for Coaster City is:
[tex]40+5(4)=\$60[/tex]
Since $56 < $60, Adventureland will be a better option.
Part B)
If three extra people were invited, the total amount of people p is now 7. So, the cost to Adventureland is:
[tex]20 + 9(7) = \$ 83[/tex]
And the cost to Coaster City is:
[tex]40+5(7)=\$ 75[/tex]
Since $75 < $83, Coaster City is the better option in this case.
Part C)
So, we can set the two cost equations equal to each other:
[tex]20+9p=40+5p[/tex]
Solve for p. Subtracting 20 from both sides yields:
[tex]9p=20+5p[/tex]
And subtracting 5p from both sides yields:
[tex]4p=20[/tex]
And dividing both sides by 4:
[tex]p=5[/tex]
So, if 5 people went on a trip, the cost of going to either Adventureland or Coaster City will be the same.
5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.
Answer:
1.366km
Step-by-step explanation:
The height of the mountain is [tex]3.34Km[/tex]
Right angle triangle:A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.
Let us consider that H represent the height of mountain.
Angle of elevation at point A and C shown in the diagram.
Apply tan function in triangle CBP.
[tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]
Apply tan function in triangle ABP.
[tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]
Substituting the value of equation 2 into equation 1.
[tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]
Hence, The height of the mountain is [tex]3.34Km[/tex]
Learn more about the right angle triangle here:
https://brainly.com/question/64787
In a store at the local mall, the price for sweaters was $30 each. In October, the price was raised by 20%. In December, the price was raised by 40%. What is the price of a sweater in this store now?
Answer:
Your answer
50.4 $
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
solve for z 7z + 4 - 9z = 8 (also please don't have the answer be a negative)
Answer:
z = -2
Step-by-step explanation:
lol okay If it said that
help pleaseee with this and the other ones
Answer:
x=8+√59 or x=8−√59
Step-by-step explanation:
For this equation: a=1, b=-16, c=5
1x2+−16x+5=0
Step 1: Use quadratic formula with a=1, b=-16, c=5.
x=
−b±√b2−4ac
2a
x=
−(−16)±√(−16)2−4(1)(5)
2(1)
x=
16±√236
2
x=8+√59 or x=8−√59
Find the value of 4n when n=3
Answer:
13
Step-by-step explanation:
4 * 3 = 12
Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.
Answer:
she is left with 4.67 LB of flour.
Step-by-step explanation:
7 divided by 3 = 2.3333333
2.3333333 x 2 = 4.67
What is the circumference of a circle whose radius measures 9 inches?
50/20 equals 20 over X
Answer:
50/x
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
cross multiply:
50*x = 20*20
50x=400
divide by x (50)
50x/50 = 400/50
x=8
Which graph represents the function?
f(x)=1x−1−2
IS MY ANSWER CORRECT????
You can use the graph given to form the equation and using the fact that as the denominator goes towards zero, the fraction outputs immensely big magnitude numbers(tending to arbitrarily large numbers)
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Using the graph to form the equationSince the graph goes to negative infinity as it comes from left side of 1 towards 1, and goes to positive infinity as it comes from the right side of 1, thus, there might be x-1 in denominator which takes the magnitude to infinite and sign to + if x > 1 and to - if x < 1
Now since the graph intersects the y axis at y = -3, thus, we need the function to be such that putting x = 0 in the function outputs -3 as value of the function.
Thus,
[tex]f(0) = -3[/tex]
Since putting 0 in [tex]\dfrac{1}{(x-1)}[/tex] gives -1 as answer, we have to subtract 2 more.
Thus, we have:
[tex]f(x) = \dfrac{1}{x-1} - 2[/tex]
Checking it, as the graph intersects the x axis at 1.5, putting f(x) = 0 should give us x = 1.5,
[tex]f(x) = \dfrac{1}{x-1} - 2\\\\0 = \dfrac{1}{x-1} - 2\\\\2(x-1) = 1\\\\x = 1 + \dfrac{1}{2} = 1.5[/tex]
It is correct.
Thus,
The equation for the given graph can be:
[tex]f(x) = \dfrac{1}{(x-1)} - 2[/tex]
Its graph is attached below.
Learn more about graphing functions here:
https://brainly.com/question/17056821
In a soup kitchen, 22 pounds of rice was used during the lunch. If 110 people came to have lunch, about how many pounds of rice was used by each person?
Answer:
0.2 pounds of rice
Step-by-step explanation:
To find how much rice was used by each person, divide 22 by 110
22/110
= 0.2
So, each person used 0.2 pounds of rice
write the equation for the line that goes through point (12, 15) with slope m = -2
Answer:
Y=5\4x
Step-by-step explanation:
gradient is given by ∆y/∆x
g=5/4
Y=MX+C
15=5/4(12)+c
15=15+c
C=0
y=mx+c
y=5\4x
I don’t k is how to do this stuff
Answer:
x = 24.571
Step-by-step explanation:
A circles angle is 360 degrees, so you can work out x by equalling everything to 360
360 = 5x + 12 + 9x + 4
360 = 14x + 16
360 - 16 = 344
344 = 14x
344 ÷ 14 = 24.571
x = 24.571
So the smaller angle is 225°
And the bigger angle is 135°
(I'm guessing shape isn't to scale)
cant use thisqwdwiwied
Answer:
ooffffffffffff have a good day/night lol
Answer:
What?? lol
Step-by-step explanation:
Find the slope on the coordinate plane (slope is rise/run).
Answer:
-4/2 or -2/1
Step-by-step explanation:
the second answer is just simplified
Answer:
-4/2
Step-by-step explanation:
count how many times it goes up or down, then count how many times it takes to reach a point.
it goes down 4 times and it slides over to the right 2 times. the line is going down so its going to be negative
what is 512.3 divded by 100
Answer:
the answer is 5.123
Step-by-step explanation:
have a good day <3
Answer:
5.123
Step-by-step explanation:
Just need to move the decimal two times to the left because there are two zeros.
Explain the difference between an x and a y-intercept.
Step-by-step explanation:
so pretty much y= is the line that goes up and it has its own numbers right. the x= is the line that goes at the bottom right right
this is the question please help.
11 divided by 3 as a mixed number
Answer:
3 2/3
Step-by-step explanation:
HURRY PLEASE, can you have a abotuse triangle with one acute angle? explain
Answer:
No
Step-by-step explanation:
Mia and her children went into a bakery where they sell cupcakes for $2.75 each and
brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.
Answer:
[tex]x = 8.5[/tex] and [tex]y = 5.3[/tex]
Step-by-step explanation:
Given
[tex]x = cupcakes[/tex]
[tex]y = brownies[/tex]
From the first statement:
[tex]2.75x + 1.25y = 30[/tex]
From the second statement:
[tex]x + y \le 14[/tex]
Required
Solve graphically
I've written the equations (above) and they are:
[tex]x + y \le 14[/tex]
[tex]2.75x + 1.25y = 30[/tex]
See attachment for graph.
The blue line represents [tex]2.75x + 1.25y = 30[/tex]
The shaded part of the graph represents [tex]x + y \le 14[/tex]
From the graph, the solution is:
[tex]x = 8.5[/tex]
[tex]y = 5.3[/tex]
Help me please. need quickly. What is the value of Z
Answer:
z = 6
Step-by-step explanation:
[tex]8z-36=2z\\6z-36=0\\6z=36\\z=6[/tex]
trigonometry problem
Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative. The unit circle is typically measured in radians, not degrees- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
Plz help due tomorrow
Answer:
20.5+10x
Step-by-step explanation:
Anyone got the answer? Would be nice pls
Answer:
20 cm^3
Step-by-step explanation:
The volume of a rectangular prism is V=length*width*height. Therefore, to find the volume, plug in the values into the equation
V = (2/3)*5*6
V = 20 cm^3
HELP PLS ASAP!!!!!!!!!!
Answer:
ima say 43
Step-by-step explanation:
its hard but look the caculate it
if 5 + root 3 divided by 7 minus 4 root 3 is equals to a + b root 3 find the values of a and b
Answer:
a + b = 93.8
plz follow me
hope it help u
What is the difference between the absolute value of -8 and the absolute value of 6?
A) 2
B) 8
C) 14
D) 16
please help!! i'll give you brainliest, 5 stars, and a thanks
Answer:
2.25 I think
Step-by-step explanation:
Answer:
to find the answer out you need to find out 2/3 of $4.50 and to do that divide it by three. once you have figured that out multiply it by 2 and you will get your answer
Step-by-step explanation:
see above
simplify the expression: 4(-4+n) =
8x + 6 – 7x = 6
I need some help
Answer: x = 0
Step-by-step explanation:
