The amusement park is offering tickets to a summer concert series. If you buy tickets to the first show for $25.00, then the tickets for each remaining concert are only $15.00 each. Tayah has $115.00 she can spend on tickets for the summer concert series.
Which inequality represents the the maximum number of concert tickets Tayah can buy for the reduced price of $15.00?
Answers
The correct inequality represents the the maximum number of concert tickets Tayah can buy for the reduced price of $15.00 is 1st.
Given that the 1st ticket is of fixed price which is 25 , so it will be a constant in the equation.
Now the money she left with after buying the first ticket is :
money left = 115 - 25 = 90.
so now she she can only spent 90 dollar on the tickets which is now at rate of 15 dollars.
So the equation for this situation is :
15c ≤ 90 , where c is the number of the tickets.
Finally the total amount of tickets spent are :
15c + 25 ≤ 115
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Related Questions
Solve the following system of equations algebraically:
y = x2 - 7x - 5
y = 2x - 5
Answers
Answer:
x = 0; y = -5
x = 9; y = 13
Step-by-step explanation:
y = x² - 7x - 5
y = 2x - 5
Use substitution to set the two right sides equal.
x² - 7x - 5 = 2x - 5
x² - 9x = 0
x(x - 9) = 0
x = 0 or x - 9 = 0
x = 0 or x = 9
Now for each x value, we find a corresponding y vlaue.
x = 0
y = 2x - 5 = 2(0) - 5 = -5
x = 9
y = 2x - 5 = 2(9) - 5 = 13
Answer:
x = 0; y = -5
x = 9; y = 13
Answer:
(0,-5) and (9,13)
Step-by-step explanation:
Step 1: Set up
You can solve system of equations algebraically either by elimination or substitution.You know there is going to be two solutions because of x²Step 2: Solve
Substitution:
[tex]y=x^{2} -7x-5[/tex][tex]y=2x-5[/tex]Since both equations have been solved for y, you can just set them equal to each other.[tex]2x-5=x^{2} -7x-5[/tex][tex]9x-x^{2} =0[/tex][tex]-x(x-9)=0[/tex][tex]x=0\\x=9[/tex]Then plug both x values into one of the equations to get their corresponding y values.[tex]y=2(0)-5=-5[/tex][tex]y=2(9)-5=18-5=13[/tex]Elimination:
[tex]y=x^{2} -7x-5[/tex][tex]y=2x-5[/tex]Since both equations have been solved for y, multiply one equation by -1 in order to cancel the y variable and solve for x.[tex]y=x^{2} -7x-5[/tex][tex]-y=-2x+5[/tex][tex]0=x^{2} -9x+0[/tex][tex]0=x^{2} -9x[/tex][tex]0=x(x-9)[/tex][tex]x=0\\x=9[/tex]Then plug both x values into one of the equations to get their corresponding y values.[tex]y=2(0)-5=-5[/tex][tex]y=2(9)-5=18-5=13[/tex]3) Hugh has a goal of exercising 12/4 hours a day. He plans to go on several runs
today. His runs take him 4/6 of an hour. How many runs will Hugh need to go on?
Answers
Annie has 5 pets, Eve has 3 and Molly has 10. What is the
mean amount of pets?
Answers
Answer: 6
Step-by-step explanation: the mean is the average. 5+3+10 = 18 and then you divide by the people (3) to get 6.
Use the given information to prove that SVR = SUT
Answers
The ΔSVR ≅ ΔSUT by side angle side property of triangle.
What is congruency in triangles?The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same.
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In triangle SVR and triangle SUT
SR = ST (given)
∠RSV = ∠TSU ( Common)
SV = SU (given)
So, the ΔSVR ≅ ΔSUT by SAS property.
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Let f(x) = 4x-8 and g(x)=x+3. Find f(g(x)) and g(f(x)).
f(g(x)) = (Simplify your answer.)
g(f(x)) =
(Simplify your answer.)
Answers
Answer:
[tex] \huge{ \bold{f(g(x)) = 4x + 4}} \\ \\ \huge{ \bold{g(f(x)) = 4x - 5}}[/tex]
Step-by-step explanation:
f(x) = 4x-8
g(x)=x+3
In order to find f(g(x)) you substitute g(x) into f(x) that's where ever you find x in f(x) you replace it with g(x) and solve
We have
[tex]f(g(x)) = 4(x + 3) - 8 \\ = 4x + 12 - 8 \\ = 4x + 4[/tex]
In order to find g(f(x)) you substitute f(x) into g(x) that's where ever you find x in g(x) you replace it with f(x) and solve
We have
[tex]g(f(x)) = (4x -8) + 3 \\ = 4x - 8 + 3 \\ = 4x - 5[/tex]
Hope this helps you
True or false: If the ratio of QR to RS on the number line is 2:1, coordinate of R must be 2.
Answers
Step-by-step explanation:
false.
QR and ES are line segments.
a ratio between them is about their lengths, not about their position.
so, no, the given ratio has nothing to do with the coordinate itself.
what equations could i use with 1 2 3 4 5 to get 35
Answers
Answer:
(5x5) + (5x2)
Step-by-step explanation:
is that helpful i dont really get what youre asking
Answer:
1+2*3*5+4
Step-by-step explanation:
Last year, Jacky's age was six times the age of his son. If Jacky's son was 5 years old last year, find the age of Jacky this year.
Answers
In △abc, ​gf=17 in.​ what is the length of cf¯¯¯¯¯? enter your answer in the box. in.
Answers
The length of CF is 51 inches.
Complete question:
( In triangle ABC in which AD,BE and CF are the medians ),
In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.
What is the median in a triangle?
A line segment that joins a vertex to the mid-point of the side that is opposite to that vertex
The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...
CF = 3(GF) = 3(17 in)
CF = 51 in
So, the length of CF is 51 inches.
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please help me asap
Answers
According to the solving the co-ordinate mid-point D is (-4,0).
What is Mid-Point?A point on a line which bisects the same line is a mid point. It divides the line in two equal halves.
The mid-point is equidistant from both the ends of the given line.
Middle point formula in coordinate geometry
M={(x1+x2)/2,(y1+y2)/2}
According to the Given information:We need to find the coordinates of mid-point D of line AB, where
A is (-6x,4y)
B is (-2x,-4y)
By using Mid-point formula for coordinate D, we get
x=-6+(-2)/2
⇒ x=-6-2/2
⇒x=-8/2
⇒x=-4
And y coordinate
y=4+(-4)/2
⇒y=4-4/2
⇒y=0/2
⇒y=0
The coordinates of mid-point D of line AB is (-4,0)
Hence, D is (-4,0)
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Help me pls.
100 points for those who work it out
Answers
Both areas are equal, 4 cm²
Answer:
Area of triangle = 4 cm²
Area of square = 4 cm²
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a triangle}\\\\$A=\dfrac{1}{2}bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
From inspection of the given diagram:
b = 2 cmh = 4 cmSubstitute the values into the formula to find the area of the triangle:
[tex]\begin{aligned}\implies A&=\dfrac{1}{2} \times 2 \times 4\\A&=1 \times 4\\A&=4\;\sf cm^2\end{aligned}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]
From inspection of the given diagram:
s = 2 cmSubstitute the value into the formula to find the area of the square:
[tex]\begin{aligned}\implies A&=2^2\\A&=2 \times 2\\A&=4\;\sf cm^2\end{aligned}[/tex]
The area of the triangle is 4 cm², and the area of the square is 4 cm², thus proving that the triangle and the square have the same area.
Find the value of x that would make the quadrilateral below a parallelogram.
Answers
The value of x=5 if given quadrilateral is parallelogram.
What is parallelogram?
A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. This means a parallelogram is a plane figure, a closed shape, and a quadrilateral.
We know, the opposite sides of parallelogram are equal
therefore, 5x-8 = 2x+7
5x -2x = 7+8
3x = 15
x =5
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A tram moved downward 35 meter in 7 econd at a contant rate. What wa the change in the tram' elevation each econd?
Answers
If a tram moved downward 35 meter in 7 seconds at a constant rate, then the change in the tram's elevation for each second is 5 meter
The total distance that tram moved downwards = 35 meters
Total time taken = 7 seconds
Here we have to use the unitary method
The change in the tram's elevation for each second = The total distance that tram moved downwards / Total time taken
Substitute the values in the equation
The change in the tram's elevation for each second = 35 /7
Divide the terms
= 5 meters
Hence, if a tram moved downward 35 meter in 7 seconds at a constant rate, then the change in the tram's elevation for each second is 5 meter
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Out of 30 problems on a
test, Jose got 3 wrong.
What percentage did Jose
get correct?
Answers
Answer:
Step-by-step explanation:
3 is 10% of 30. Therefore, the other 27 is the resulting 90% of the whole number of 30.
A clerk is marking up merchandise 32%. The original price of an item is $450. What will be the retail price?
Answers
Answer:
$594
Step-by-step explanation:
450x1.32=$594
450+32%=$594
the distribution of sample means approaches a normal curve as \ \ \ \ \ \ \ \ increases to infinity?
Answers
The correct statement is 'the distribution of sample means approaches a normal curve as sample size(n) increases to infinity'
In this question, we have been given a statement 'the distribution of sample means approaches a normal curve as _________ increases to infinity'
We need to complete the statement.
The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
This means, the distribution of sample means approaches a normal curve as the sample size i.e., n increases to infinity.
Therefore, the correct statement is 'the distribution of sample means approaches a normal curve as sample size(n) increases to infinity'
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a rock is thrown off a 200-foot cliff. the trajectory of the rock is modeled by the function h(t)=(-10t^2)+200, where h is the height in feet and t is the time in seconds. when will the rock hit the ground.
Answers
Answer:
4.47 seconds.
Step-by-step explanation:
Given function:
[tex]h(t)=-10t^2+200[/tex]
where:
h is the height (in feet).t is the time (in seconds).The rock will hit the ground when h(t) = 0.
Therefore, set the function to zero and solve for t:
[tex]\begin{aligned}h(t)&=0\\\implies -10t^2+200&=0\\10t^2&=200\\t^2&=20\\t&=\pm\sqrt{20}\\t&=-4.47, 4.47\;\; \sf (2\;d.p.)\end{aligned}[/tex]
As time is positive, t = 4.47 s only.
help me the pic is the queston
Answers
Solve the compound inequality.
3x -4 > 5 or 1 - 2x≥7
Answers
Answer:
3x -4 >5 = x > 3.
1 -2x>7 = x ≥ -3
Step-by-step explanation:
The length of a rectangle is 7 cm more than the width. If the perimeter is 58 cm, find the length and width.
Answers
Answer:
length = 32.5, Width = 25.5
Step-by-step explanation:
Let x rep the width. Let x plus 7 rep the length.
x + x + 7 = 58
2x=58-7
2x=51
2x/2 = 51/2
x= 25.5
x plus 7 =
= 25.5 + 7
=32.5
✨️Hope that helps✨️
At Berry Fun Farm, Liz picked 12 pints of berries. If 25% of the pints were blueberries, how many pints of blueberries did Liz pick?
Answers
Answer: 25% of 12 is 3
Step-by-step explanation:
Since there 25% is 1/4 of 100%, you'd need to divide.
There are 12 pints of berries.
If 1/2 of 25% is 6 since [tex]2 \sqrt{12}=6[/tex], you can say that the percentage would be 2/4.
Now, divide 12 by 4: [tex]4\sqrt{12}=3[/tex]
3 in this case would be the 1/4 and the 1/4 is substituting 25%
So there are 3 pints of blueberries.
If a population of 1000 people were to increae by 5% every year, what would the population be in 20 year?
Answers
The population in the next 20 years would be 2653 people. The result is obtained by the equation of estimating the future population.
How to estimate future population?
The future population can be estimated by the following equation:
P = P₀ × (1 + i)ⁿ
Where
P = population in the expected yearP₀ = current populationi = growth raten = number of periodsIf the recent population is 1000 people and the growth rate is 5% per year, what would the population be in the next 20 years?
The population in the next 20 years would be
P = P₀ × (1 + i)ⁿ
P = 1000 × (1 + 0.05)²⁰
P = 1000 × (1.05)²⁰
P = 1000 × 2.6533
P = 2653 people
Hence, the population in the next 20 years would be 2653 people.
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About 75% of the wate produced in the U. S i recyclable. Micah’ family ha 40 pound of trah. He want to etimate how much of thi trah i recyclable
Answers
Answer:
30 lb
Step-by-step explanation:
75% of trash is recyclable.
40 lb trash.
75% of 40 lb = = 40/100 × 75 lb = 0.40 × 75 lb = 30 lb
Answer: 30 lb
Order the number from least to greatest.
0.8 8% 18% 1/8 8/20
Answers
Answer:
18%,1/8,18%, 8/20 0.8
Step-by-step explanation:
0.8 8/100 18/100 1/8 8/20
0.8 , 0.08 0.18 0.12 0.4
0.08 0.12 0.18 0.4 0.8
Answer:
8%, 1/8, 18%, 8/20
Step-by-step explanation:
Lets make all of these into decimals (its easier that way).
8% = 0.08
18% = 0.18
1/8 = 0.125
8/20 = 0.4
Now, put them into least to greatest! :)
The Tabel corresponds to which of the following scatterplots?
Answers
Answer :
Step-by-step
Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of. 5. How many subscribers must they sample to obtain this interval?.
Answers
They must sample 385 subscribers to obtained this interval.
What do you mean by sample?
An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.
According to the given question,
We have:
95% confidence interval for z-score is 1.96
Using this formula to find the number of subscribers they must sample to obtain this interval
n≥ (zσ/2 ÷ 2ME)²
Where:
n= Sample
zσ = Z-score
ME = margin of error
Let put in the formula,
n≥ [1.96 / 2(0.05)]²
n≥ [1.96 / 0.1]²
= (19.6)²
= 384.16
=385 (Rounded)
Therefore, they must sample 385 subscribers to obtained this interval.
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Which equation represents the line that is
perpendicular to the graph of 4x + 3y = 9 and
passes through (-2, 3)?
A. 3x-4y=-18
B. 3x+4y=18
C. 3x-4y=-6
D. 3x+4y=6
Answers
The equation that represents the line that is perpendicular to the graph of 4x + 3y = 9 and passes through (-2,3) is
[tex]y = \frac{3}{4}x+\frac{9}{2}[/tex]
Let us revise some rules
1. The product of the slopes of the perpendicular line is -1, that means if the slope of one line is m, then the slope of the other is [tex]\frac{-1}{m}[/tex]
2. The slope of a line whose equation is ax + by = c is [tex]m = \frac{-a}{b}[/tex], where a is the coefficient of x and b is the coefficient of y
The equation of the given line is 4x + 3y = 9
[tex]m = \frac{-a}{b}[/tex]
whereas a is the coefficient of x and b is the coefficient of y
Therefore the coefficient of x = 4 and the coefficient of y = 3
a = 4 and b = 3
[tex]m = \frac{-a}{b}[/tex]
The slope of the perpendicular line to the given line is [tex]\frac{-1}{m}[/tex]
That means reciprocal the fraction and change its sign
The slope of the perpendicular line = [tex]\frac{3}{4}[/tex]
The form of the equation is y = mx + b
- Substitute m by [tex]\frac{3}{4}[/tex]
y = [tex]\frac{3}{4}[/tex] x + b
To find b substitute x and y in the equation by the coordinates
of a point on the line
The perpendicular line passes through point (-2 , 3)
x = -2 and y = 3
3 = [tex]\frac{3}{4}[/tex](-2) + b
3 = [tex]\frac{-3}{2}[/tex]+ b
Add to both sides
[tex]\frac{9}{2}[/tex] = b
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{9}{2}[/tex]
The equation that represents the line that is perpendicular to graph of 4x + 3y = 9 and passes through (-2,3) is y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{9}{2}[/tex]
Hence the answer is perpendicular to graph of 4x+3y=9 and passes through (-2,3) is [tex]y = \frac{3}{4}x+\frac{9}{2}[/tex]
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the spread of the sampling distribution of is the spread of the corresponding population distribution sampling distribution
Answers
The spread of the sampling distribution of x is smaller than the spread of the corresponding population distribution sampling distribution.
In the given question,
We have to find the spread of the sampling distribution of x is............... the spread of the corresponding population distribution sampling distribution.
As we know that,
The size of the sample as well as its dispersion affect the sampling distribution's spread. We calculate the sampling distribution's spread as the population's standard deviation divided by the sample size's square root.
So, the spread of the sampling distribution of x is smaller than the spread of the corresponding population distribution sampling distribution.
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The right question is
The spread of the sampling distribution of x is .......... the spread of the corresponding population distribution sampling distribution.
larger than
smaller than
the same as
exactly 1/2
115% = 38x + 161y
What is 100%?
Answers
Answer:
100% is 32.3x + 136.85y------------------------
Given115% = 38x + 161yFind 100%100% = 115% - 15% (38x + 161y) - 15% = (38x + 161y)*(1 - 0.15) = (38x + 161y)*0.85 =38x*0.85 + 161y*0.85 = 32.3x + 136.85yAnswer:
32.3x + 136.85y
Step-by-step explanation:
Let's take it as,
→ z = 100%
Forming the equation,
→ z + 15% = 38x + 161y
Now the value of z will be,
→ z + 15% = 38x + 161y
→ z = 38x + 161y - (1 - (15/100))
→ z = (38x + 161y) × (1 - 0.15)
→ z = (38x + 161y) × (0.85)
→ [ z = 32.3x + 136.85y ]
Hence, the answer is above.
Ximena is going to invest in an account paying an interest rate of 2.2% compounded continuously. How much would Ximena need to invest, to the nearest ten dollars, for the value of the account to reach $5,100 in 6 years?
Answers
Ximena need to invest $2384 so that account value reach $5,100 in
6 years.
As given in the question,
We have to find Principal ' P'
Given interest rate R = 2.2%
Amount = $5100
time t = 6 years
Formula used
Amount = P + P( 1 + R%)^t
Putting values in the formula
5100 = P + P (1 + 2.2%)^6
5100 = P ( 1 + (1 + 2.2%)^6)
5100 = P (1 + (1.022)^6)
5100 = P (1 + 1.139)
5100 = P (2.139)
P = 5100/2.139
P = 2384.291 ≈ 2384
Therefore, Ximena need to invest $ 2384 to reach $5,100 in 6 years with interest rate 2.2%.
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Answer:
P=4470
Step-by-step explanation:
i did it
