We want to create a linear equation to model the given situation.
A) c(r) = $6.00 + $1.50*r
B) 19 rides.
We know that the carnival charges $6.00 for entry plus $1.50 for each ride.
A) With the given information we can see that if you ride for r rides, then the cost equation will be:
c(r) = $6.00 + $1.50*r
Where c(r) is the cost for going to the carnival and doing r rides.
B) If you have $35.00, then we can solve:
c(r) = $35.00 = $6.00 + $1.50*r
Now we can solve the equation for r.
$35.00 = $6.00 + $1.50*r
$35.00 - $6.00 = $1.50*r
$29.00 = $1.50*r
$29.00/$1.50 = r = 19.33
Rounding to the next whole number we get: r = 19
This means that with $35.00, Dennis could go to 19 rides.
If you want to learn more, you can read:
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A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Answer:
60
Step-by-step explanation:
time * speed
in seconds 60x *4 = 2.5(60x + 900)
x= 25
25 min * 4cm/2
distance = 60 meters
CHEck!!!
Using a system of linear equations, the distance between points A and B is 6000 cm
Initial speed = 4cm/secTime taken = Distance / speed
Let ; distance = d
To time :
t = d / 44t = d ______(1)Fro time :
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
2.5t + 2250 = d ______(2)
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : https://brainly.com/question/14000187
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
What is the slope of this line?
Answer:
Slope = 2
Step-by-step explanation:
(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]
If the chick grows at a rate of 4.8 grams/day and weighs 53.8 grams on day 4, how much did the chick weigh (in grams) the day it hatched?
Answer:
Step-by-step explanation:
y = 4.8x + C
53.8 = 4.8(4) + C
53.8 = 19.2 + C
C = 34.6
Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.
Answer:
r+51 peppers
Step-by-step explanation:
What is the area of the rectangle?
Answer:
60
Step-by-step explanation:
multiply length times width l x w
length is 10
width is 6
10 x 6 is 60
What is the missing measure
Answer:
119
Step-by-step explanation:
Answer:
look at the photo...............
136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain.
A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?
Answer:
Step-by-step explanation:
5.25 + 17.75x ≤ 165
17.75x ≤ 159.75
x = 9 people (Assuming they all fit in one vehicle)
Wish You the Best in your Studies.
The number of people who can enter in the amusement park is 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.
Let p be the number of people who can enter in the amusement park. Then the inequality is given as,
33.75p + 19.50 ≤ 280
Simplify the inequality, then the value of p is given as,
33.75p + 19.50 ≤ 280
33.75p ≤ 260.50
p ≤ 7.72
Thus, the number of people who can enter in the amusement park is 7.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ5
Consider the following incomplete deposit ticket:A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents.How much cash did Liz receive?
The amount of cash Liz received is; 458 dollars and 57 cents.
The amounts deposited were as follows;
782 dollars and 11 cents 564 dollars and 64 centsThe subtotal is therefore; 1346 dollars and 75 cents.
Since, the total after cash received is; 888 dollars and 18 cents.
The amount of cash received by Liz is;
1346 dollars and 75 cents - 888 dollars and 18 cents.
=458 dollars and 57 cents.Read more on deposit ticket:
https://brainly.com/question/3044615
Answer:
A) 1145.39 on Edge
Step-by-step explanation:
Just took test :)
The queen marys 2’d height above water is about the same as a 14 story building, what is the queen mary twos height above water, pls help this is due today
Answer: Length 1,132 ft
Step-by-step explanation: Im not sure if this is the one your talking about but here.
PLEASE PLEASE HELP ASAP
tan9°. tan27°. tan45°. tan72°. tan81°= 1
could u plz solve it with clear process
Correct question:-
Prove that tan9.tan17.tan45.tan73.tan81=1
LHS
[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]
[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]
[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]
[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]
[tex]\\ \sf\longmapsto 1.1[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
Multiply out and simplify:
(3x + 4) (2x - 1)
Answer:
6x²+5x-4
Step-by-step explanation:
[tex](3x+4)(2x-1)\\=6x^2-3x+8x-4\\=6x^2+5x-4[/tex]
Answer:
[tex]6x^{2}+5x-4[/tex]
Step-by-step explanation:
Apply the distributive property
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
Therefore,
[tex](3x+4)(2x-1)=3x*2x+3x(-1)+4*2x+4(-1)[/tex]
[tex](3x+4)(2x-1)=6x^{2} +5x-4[/tex]
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT
exam have a N(μ = 500,σ = 100) distribution. Suppose Xiaoyu got a 27 on the ACT
exam, while Emily got a 720 on the SAT exam. Who has the higher relative score? Why?
Answer:
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Step-by-step explanation:
Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.
Xiaoyu:
z = [tex]\frac{27 - 18}{6}[/tex] = 1.5
Emily:
z = [tex]\frac{720 - 500}{100}[/tex] = 2.2
______
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
PLEASE HELP THANK YOU AND HAVE A GOOD DAY!
Answer:c
Step-by-step explanation:c because u gotta look closwely
c
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm
porfavor ayuda ayuda
Answer:
b is 3/5 then 9/5 and lastly 15/25
c is 2/3 then 6/12 then 12/18
¿What are Fractions?
Fractions is that fraction whose fractional number is the expression of a quantity divided by another quantity; that is, it represents an unrealized quotient of numbers.
[tex] \bold{a) \dfrac{2}{4} = \dfrac{4}{8} = \dfrac{6}{12} = \dfrac{8}{16} = \dfrac{10}{20} }[/tex]
[tex]\bold{b) = \dfrac{3}{5} = \dfrac{6}{10} = \dfrac{9}{15} = \dfrac{12}{20} = \dfrac{15}{25} }[/tex]
[tex] \bold{c) \dfrac{2}{3} = \dfrac{4}{6} = \dfrac{6}{12} = \dfrac{10}{15} = \dfrac{12}{18} }[/tex]
this maths question i don’t really understand
Answer:
I think it is straight forward, u just have to solve the problem
Step-by-step explanation:
so 35 x 586= 20510
3.5 x 5860=20510
36 x 586=21096
70 x 586=41020
I need help please and thank you
Answer:
I believe it's B ............
Translate the sentence into an equation.
Eight more than the quotient of a number and 2 is 6.
Use the variable b for the unknown number.
Step-by-step explanation:
8 + b/2 = 6
8 more than the quotient of is 6
a number and 2
B.
E.
20 cm
7 cm
11 cm
-
Find volume
Step-by-step explanation:
The volume of cylinder = [tex]\pi r^{2}h[/tex]
The radius of cylinder = 20 ÷ 2 = 10
The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]
= [tex](22)(100)[/tex] = 2200
please give me a brainliest answer
Answer:
Volume of cylinder = 2,198 cmSolution:
volume of a cylinder = area of base(pi × radius²) × altitude (height)
Volume = πr² × altitude
V = 3.14 × 10² × 7
V = 3.14 × 100 × 7
V = 314 × 7
V = 2,198 cm
Which graph represents the following relationship between X and y. Y=3x
Answer:
B
Step-by-step explanation:
Because each Y value is found by multiplying X value by 3
hii i need help! write the inequality represented by the graph below.
brainlest if you answer right.
5 raised by 2- 5 (68-60)=
(with explanation plz)
Step-by-step explanation:
2-5(68-60)=2-5×8=2-40=38