Answer: 12 yearly admissions and 38 single admissions
Step-by-step explanation:
Let x be yearly membership
Let y be single admission
x+y=50 --> # of tickets sold
35.25x+6.25y=660.50 --> $ of tickets
Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)
-3525x-3525y=-176250
+ 3525+625y=66050
-----------------------------------
-2900y=-110200
y=38
Substitute y=38 into equation 1
x+38=50
x=12
Therefore, 12 yearly admissions and 38 single admissions were sold
What value of x satisfies this equation?
log2 (6x – 8) – log, 2^8=1
The value of x is?
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]
Find the product of (x − 5)2. X2 10x 25 x2 − 10x 25 x2 − 25 x2 25.
Answer:
x^2 -10x+25
Step-by-step explanation:
(x − 5)^2
(x-5)(x-5)
FOIL
first x*x = x^2
Outer -5 *x = -5x
inner -5*x = -5x
last -5*-5 =25
Add them together x^2 -5x-5x+25
Combine like terms x^2 -10x+25
Hey there!
(x - 5)^2
= (x - 5)(x - 5)
= x(x) + x(-5) - 5(x) - 5(-5)
= x(x) - 5(x) - 5(x) - 5(-5)
= x^2 - 5x - 5x + 25
COMBINE the LIKE TERMS
= x^2 - 10x + 25
Therefore, your answer is:
x^2 - 10x + 25
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the explicit formula for the sequence: 32, 48, 72, 108,..
Verify with next one
48(3/2)=72Verified
formula
[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]
[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]
Answer:
[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
Step-by-step explanation:
The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.
Geometric sequence formula: [tex]a_n=a r^{n-1}[/tex]
where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio
Given [tex]a = 32[/tex]
To calculate [tex]r[/tex], divide one term by its previous term:
[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]
Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
The model represents an inequality. What is the solution set for the inequality?
Two angles form a linear pair. The measure of one of the angles is 62°
What is the measure of the other angle in the linear pair?
The measure of the other angle in the linear pair is: 118°.
What is a Linear Pair?A linear pair is formed by two angles, whose sum equals 180 degrees.
Given that one of the angles of a linear pair is 62 degrees, the measure of the other angle will be its supplement.
Thus:
The other angle = 180 - 62 = 118°
Therefore, the measure of the other angle in the linear pair is: 118°.
Learn more about linear pair on:
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The distance between two rivers on a city map is 8. 5 centimeters. The scale on the map states that 3 centimeters represents 6 kilometers. What is the actual distance between the two rivers in kilometers? 2. 1 kilometers 4. 25 kilometers 17 kilometers 18 kilometers.
10. What is the circumference of a circular swimming pool with a diameter of 6 1 feet?
ft. (use 22 forpi)
Answer:
[tex]C=1342[/tex]
Step-by-step explanation:
Calculate circumference of the circle:
[tex]C=1342[/tex]
A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?
Answer:
if i knew the answer i would say it but i need it to
Step-by-step explanation:
13. If a toy rocket is launched vertically upward from ground level with an initial
velocity of 100 feet per second, then its height h after t seconds is given by the
equation h(t) = - 16+ + 100t (if air resistance is neglected).
Check the picture below.
how long will it take for it to hit the ground, or namely, what is "t" when h(t) is 0.
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&100\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases}[/tex]
[tex]h(t)=-16t^2+100t+0\implies h(t)=-16t^2+100t\implies \stackrel{h(t)}{0}=-16t^2+100t \\\\\\ 16t^2-100t=0\implies 4t(4t-25)=0\implies \begin{cases} 4t=0\\ t=0\\[-0.5em] \hrulefill\\ 4t-25=0\\ 4t=25\\ t=\cfrac{25}{4}\\[1em] t=6\frac{1}{4} \end{cases}[/tex]
so h(t) is 0, as you saw on the picture, at two instances, once it was on the ground, 0 seconds, or t=0, and then t = 6.25, or 6 seconds and some change later.
múltiplying polynomial (x+4)^2
Step-by-step explanation:
that's the answer bbbbbbbb
Please help due today
It is a linear pair of angles hence supplementary
[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]
[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]
[tex]\\ \tt\hookrightarrow 3x=57[/tex]
[tex]\\ \tt\hookrightarrow x=19[/tex]
Explanation:
The angles shown is supplementary because the sum of 123 and 3x is 180.
Thus, the equation formed:
123 + 3x = 180°Subtract 123 both sides:
123 + 3x = 180°=> 123 - 123 + 3x = 180 - 123=> 3x = 57Divide 3 both sides:
=> x = 57/3 = 19The value of x is 19.
.what is the factored form of 8x^24 - 27y^6
Answer:
I couldn't figure out how to type it so I typed it somewhere else lol. Hope it helps:)
Step-by-step explanation:
Graph this line using the slope and y-intercept:
y=8x+2
Answer:
Two points, (0,2) & (1,10)
Step-by-step explanation:
We already know the first point (0,2) just by looking at the +2 in the problem
Now we use the system rise/run to solve the problem
Go up vertically 8 to get to 10 (this is the rise part)
Next, go over 1 to get your x-axis point (this is the run part)
So our next point is (1,10)
Hope this helps and please award brainliest if possible :)
Answer:
Step-by-step explanation:
Using the equation given:
8 is the gradient and 2 is the y-intercept
We can draw a point at (0,2) y-intercept
And we can substitute x with 1 to give us (1,10)
Use the diagram below for further details
Which of the following represents the measures of all angles coterminal with a 418° angle? 360 58n, for any whole number n 58 360n, for any integer n 58 360n, for any whole number n 360 58n, for any integer n.
Using the concept of the angle the conditions are solved. For any whole number n, 360+58n is coterminal with 418°. option C is correct.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The measures of all angles are coterminal with a 418° angle.
a. 360+58n, for any whole number n.
For any whole number n, 360+58n is not coterminal with 418° except one.
b. 58+360n, for any integer n.
For any integer number n, 360+58n is coterminal with 418° except zero.
c. 58+360n, for any whole number n.
For any whole number n, 360+58n is coterminal with 418°.
d. 360 58n, for any integer n.
For any integer number n, 360+58n is not coterminal with 418° except one.
Thus, for any whole number n, 360+58n is coterminal with 418°. option C is correct.
More about the angle link is given below.
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Marcus ran 45 days to prepare for a race. One-third of those days he ran on a track. How many days did he NOT run on a track?
Answer:
30
Step-by-step explanation:
45/3=15
15 days on track
30 days not on track
Add the product of ⅘and 6 to the quotient of 4/45÷4/5.
Answer:4/45÷4/5.
Solving-0.1,3-2
Answer-1/9
Step-by-step explanation:
Find the quotient. (6 1/2 ÷ 3 2/3) ....1 17/22 23 5/6 21/3 2 3/4
Answer:
1 17/22
Step-by-step explanation:
Please I am not sure If i am correct
Answer:
You're correct
Step-by-step explanation:
Solve using FOIL
(x-3)(x+10)
x²+10x-3x-30
x²+7x-30
That's the same as the equation in the beginning, so you are right.
Please help need both answers
Answer:
5) 13% 7) 3/28
Step-by-step explanation:
5)
total number of marbles: 2 + 3 + 5 + 1 + 2 + 2 = 15 marbles.
probability its blue: [tex]\frac{2}{15}[/tex] __in fraction
in percentage: [tex]\frac{2}{15}[/tex] * 100 = 13%
7)
total number of marbles: 4 + 5 + 2 + 9 + 1 = 21
probability of selecting a red marble: 5/21
then 1 marbles is reduced as not replaced.
total marbles: 21 - 1 = 20
probability of getting orange marble: 9/20
total probability: 9/20 * 5/21 = 3/28
During Ms. Pepper's health class, you can calculate the recommended maximum heart rate using the formula M = 176 - have a you 0.8A. If M stands for the maximum heart rate, and A stands for a person's age, at what recommended maximum heart rate of 135 beats per minute? Round your answer to the nearest whole number. age would
The age at which the maximum heart rate would be 135 beats per minute is 51 years.
What is the age at which the maximum heart rate would be 135 beats per minute?In order to determine the age, take the following steps given this equation - M = 176 - 0.8A:
Substitute for M
135 = 176 - 0.8A
Combine similar terms
176 - 135 = 0.8A
Subtract 135 from 176
41 = 0.8A
Divide both sides by 0.8
A = 51 years
To learn more about division, please check: https://brainly.com/question/194007
Can someone help me please? Thank you.
Answer:
(2,2)
Step-by-step explanation:
x + 6y = 14
-3x + 5y = 4
x + 6y = 14
subtract 6y from both sides
x = 14 - 6y
-3(14 - 6y) + 5y = 4
-42 + 18y + 5y = 4
add 42 to both sides and simplify
23y = 46
y = 2
x = 14 - 6y
x = 14 - 6(2)
x = 14 - 12
x = 2
Right triangle with a leg of 25 in. and hypotenuse of 50 in. Find the missing leg.
A bank is offering 3% simple interest on a savings account. If you deposit $5000 , how much interest will you earn in one year?
Answer:
It might be $5000 x .025 x 1 = $125
Step-by-step explanation:
Sorry if its wrong
What are 3 ways to write x^3/2 ?
[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]
think it's right. i don't now(or remember) any other ways
mary was told that a line goes through points (1,3) and (6, -2) and has a slope of 3 explain why the informatio mary was given cannot be correct
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]
Please answer asap will give brainiest
Teams A and B are playing a series of games. The series is over as soon as a team
wins a total of three games. Team A is two times more likely to win a game than Team
B. A draw in a game is impossible. What is the probability that Team A wins the
series?
Answer:
79% - almost 4 times out of 5.
The key to this is realizing that the number of games will not always be 5.
If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%
If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.
For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.
Add them up and you get 79.01%
Step-by-step explanation:
Hope it helps<3
The following graph shows the amounts customers say they are willing to pay for jeans. What is the likelihood that a customer is willing to pay at least $95?
Considering that 30 out of 120 clients are willing to pay at least $95, we use the it's concept and find that there is a 0.25 = 25% probability that a customer is willing to pay at least $95.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we suppose that 30 out of 120 clients are willing to pay at least $95, hence:
[tex]p = \frac{30}{120} = 0.25[/tex]
There is a 0.25 = 25% probability that a customer is willing to pay at least $95.
More can be learned about the probability concept at https://brainly.com/question/15536019
PLEASE HELP WILL GIVE 20 POINTS AND POSSIBLY THE BRAINLIEST THING.
Which pair of expressions are equivalent using the Associative Property of Multiplication?
6(4a ⋅ 2) = 24a ⋅ 12
6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Answer:
A and D
Step-by-step explanation:
I really hope this helps, because this took me forever to figure out.
A radio station had 100 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many
tickets did they give away to employees?
A. 4
B. 24
C. 20
D. 5
Which step could be used to solve x 3. 6 = negative 1. 7 for x in one step? Select two options. Add 3. 6 to both sides. Add Negative 3. 6 to both sides. Add 1. 7 to both sides. Add Negative 1. 7 to both sides. Subtract 3. 6 from both sides.
The steps which could be used to solve x are add negative 3. 6 to both sides and subtract 3. 6 from both sides.
What is the property of equality?Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.
The expression given in the problem is,
[tex]x +3.6 = -1.7[/tex]
To isolate the terms x, add Negative 3. 6 to both sides as,
[tex]x +3.6+(-3.6) = -1.7+(-3.6)\\x=-1.7-3.6\\x=5.3[/tex]
Thus, by adding negative 3. 6 to both sides, the problem can be solved.
Instead of adding negative 3.6, subtract 3.6 from both sides in the given equation can also be work and give same result as,
[tex]x +3.6-3.6 = -1.7-3.6\\x=5.3[/tex]
Thus, a step which could be used to solve x add negative 3. 6 to both sides and subtract 3. 6 from both sides.
Learn more about the property of equality ehre;
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