Isaiah needs to make at least 10 visits to the movie theater to earn his first free movie ticket.
How to find Isaiah's required visits?To determine the number of visits Isaiah needs to earn his first free movie ticket, we can use an inequality. Let x be the number of visits he needs to make.
Isaiah earns 6.5 points for each visit, so the total points he earns after x visits is 6.5x.
He also received 75 points just for signing up, so the total number of points he has is 75 + 6.5x.
To earn a free movie ticket, he needs at least 140 points, so we can write the inequality:
75 + 6.5x ≥ 140
Simplifying this inequality, we get:
6.5x ≥ 65
x ≥ 10
Therefore, Isaiah needs to make at least 10 visits to the movie theater to earn his first free movie ticket.
Learn more about number of visits
brainly.com/question/30000171
#SPJ11
which two fractions are equivalent to whole numbers? 1/2. 2/6. 4/8. 5/5. 7/8. 10/1.
In order to find the fractions that are equivalent to whole numbers, we can convert each fraction to its decimal form.
So we have that:
\(\begin{gathered} \frac{1}{2}=0.5 \\ \\ \frac{2}{6}=0.333\ldots \\ \\ \frac{4}{8}=0.5 \\ \\ \frac{5}{5}=1 \\ \\ \frac{7}{8}=0.875 \\ \\ \frac{10}{1}=10 \end{gathered}\)So the fractions that are equivalent to whole numbers are 5/5 and 10/1.
how many solutions does the equation 3(x+7)=20+3x+1 have?
a. one solution
b. no solution
c. infinitely many solutions
solve 3(x+7)=20+3x+1
explain how you know the number of solutions
Question 6
Write the negation of the statement.
It is sunny.
O a It is rainy.
•b It is not sunny.
The correct negation of the statement "It is sunny" is "It is not sunny." This statement encompasses all possibilities of weather conditions other than sunny.
The negation of the statement "It is sunny" is "It is not sunny."
To understand why this is the case, let's explore the concept of negation in logic. In logic, the negation of a statement flips its truth value. If the original statement is true, then its negation is false, and vice versa.
In the given statement, "It is sunny," the proposition is that the weather condition is sunny.
If we want to negate this statement, we need to express the opposite condition, which is the absence of sun or the presence of non-sunny weather.
By stating "It is not sunny," we are explicitly saying that the weather is anything other than sunny. It could be rainy, cloudy, foggy, or any other condition except for sunny.
Using the other option, "It is rainy," would not be the correct negation in this case.
It would be an alternative statement that contradicts the original claim but does not represent the complete negation of "It is sunny."
For similar question on possibilities.
https://brainly.com/question/8536552
#SPJ11
HELP ASAP PLEASEEEE
Solve.
16 = w/-2
A.-32
B.-22
C.18
D.32.
Answer:
the answer is -32............
Answer:
-32
Step-by-step explanation:
Simplify to combine the Like Terms
(go as far as you can go)
5a - 8b + a + 2b
What is the answer
Answer:
6a-6b
Step-by-step explanation:
(5a+a)+(2b-8b)
6a-6b
Question 18
PARKS Grimby Park is installing new animal-proof trashcans. Approximate the volume of the trashcan.
in ³
26 in.
18 in.
22 in.
18 in.
The volume of the trashcan is 57, 258in³
How to determine the volume
The formula for the volume of the trashcan is modeled as a rectangular prism and a triangle.
The formula for the volume of a rectangular prism is expressed as;
V = lwh
Such that the parameters are;
l is the lengthw is the widthh is the heightNow, substitute the values, we have;
Volume = 26 × 18 × 22
Multiply the values, we have;
Volume = 57, 096 in³
Volume of triangle = 1/2 bh
b is the base,
Then,
Volume = 1/2 × 18 × 18
Volume = 162 in³
Add the volumes, we get;
Total volume = 57, 258in³
Learn about volume at: https://brainly.com/question/1972490
#SPJ1
A beaker of 50 mL of a liquid is placed in room temperature. 20% of the remaining liquid
evaporates after every hour. How much liquid would be left in the container after 6 hours
Answer:
Step-by-step explanation:
After the first hour, 20% of the liquid evaporates, which leaves 80% of the liquid remaining in the beaker.
The amount of liquid remaining after the first hour is:
50 mL x 0.8 = 40 mL
After the second hour, another 20% of the remaining liquid evaporates, which leaves 80% of the remaining 40 mL: 40 mL x 0.8 = 32 mL
We can repeat this process for each of the remaining 4 hours:32 mL x 0.8 = 25.6 mL
25.6 mL x 0.8 = 20.48 mL
20.48 mL x 0.8 = 16.384 mL
16.384 mL x 0.8 = 13.1072 mL
Therefore, after 6 hours, approximately 13.1072 mL of liquid would be left in the container.
You roll 2 6-sided dice 50 times. How many times should you theoretically get a sum of 7?
Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice
There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.
I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.
the dimensions of a certain ibm machine are 24" x 15" x 36". if the size of the machine is increased proportionately until the sum of its dimensions equals 160", what will be the increase in the shortest side?
The shortest side will be increased to 17, when the sum of the dimensions increases to 160.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
The dimensions of ibm machine are 24 x 15 x 36,
Let length of machine is 24, width is 15 and height is 36.
To increase dimension of machine to 160,
Let there is multiplying factor of x in side,
So the length of machine = 24x
width = 15x
And height = 36x
Since, sum of dimension is 160
⇒ 24x + 15x + 36x = 160
⇒ 75x = 160
⇒ x = 32/15
The shortest side = 15x = 15 × (32/15)
= 32
The increase in the shortest side = 32 - 15 = 17
The increase in the shortest side will be 17.
To know more about Simplification on :
https://brainly.com/question/2804192
#SPJ1
Rearrange the equation 4-4x-2y=0 into the form of y=mx+c
Answer:
y = -2x+2
Step-by-step explanation:
4-4x-2y=0
4-4x = 2y
2y = 4-4x
y = (4-4x)/2
y = 4/2-4x/2
y = 2 -2x
y = -2x+2
Complete the factorization of 3x2 – 10x + 8.
3x^2 – 10x + 8 = (x – _ )( _ x – 4)
Answer:
picture of answer on edge 2023.
Step-by-step explanation:
I
#4: 5x = 10
In the equation above what number
is the coefficient? How do you get
rid of the coefficient?
Answer:
10
Step-by-step explanation:
3. Which line is horizontal?
A. y = 2
B. y = 2x
C. y = -2x
D. y = x
Answer: y = 2
Explanation: When the equation of any line reads y = a number, its graph will always be a horizontal line.
So, y = 2 would be a horizontal or flat line.
A rectangular playground has an area of 3,394 square meters. If the width of the playground is 32 meters, find the length.
Answer:
106 square
Step-by-step explanation:
Area of rectangle = 3,394 square meters
Width = 32 meters
Length = ?
Area of rectangle = Length * Weight
3,394 = 32 * x
x = 3,394 /32
x = 106.0625
x = 106
The Length is 106 square
joshua scored a 65, 80, 85 and 100 on his math tests. what score will joshua have to earn on his fifth test to have a mean score of 85?
Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85
To calculate the mean score, add up all of the scores and divide by the total number of tests.
To figure out what score Joshua needs to get on the fifth test, use the formula:
Total score = mean score × total number of tests
Total score = 85 × 5
Total score = 425
Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).
Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.
To learn more about mean score visit: https://brainly.com/question/17203075
#SPJ11
there are 90 girls in third year, 25 of whom Study biology what percentage of third year girls study biology
Answer:
27.7% of third year girls study biology
find the general solution of the given system. x' = 10 −5 8 −12 x
To find the general solution of the system x' = 10 −5 8 −12 x, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.
The characteristic equation is det(A - λI) = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix. So, we have:
det(10-λ -5 8 -12-λ) = 0
(10-λ)(-12-λ) - (-5)(8) = 0
λ\(^2\) - 2λ - 64 = 0
(λ - 8)(λ + 8) = 0
λ1 = 8, λ2 = -8
Next, we need to find the eigenvectors corresponding to each eigenvalue. For λ1 = 8, we have:
(10-8)x1 - 5y1 + 8z1 = 0
-5x1 + (8-8)y1 + 8z1 = 0
8x1 + 8y1 + (-12-8)z1 = 0
Simplifying the system, we get:
2x1 - y1 + 4z1 = 0
-5x1 = 0
8x1 + 8y1 - 20z1 = 0
Solving for x1, y1, and z1, we get:
x1 = 0
y1 = 0
z1 = t
So, the eigenvector corresponding to λ1 = 8 is [0, 0, t].
For λ2 = -8, we have:
(10+8)x2 - 5y2 + 8z2 = 0
-5x2 + (8+8)y2 + 8z2 = 0
8x2 + 8y2 + (-12+8)z2 = 0
Simplifying the system, we get:
18x2 - 5y2 + 8z2 = 0
-5x2 + 16y2 + 8z2 = 0
8x2 + 8y2 - 4z2 = 0
Solving for x2, y2, and z2, we get:
x2 = 2t
y2 = 5t
z2 = -2t
So, the eigenvector corresponding to λ2 = -8 is [2t, 5t, -2t].
Now that we have the eigenvalues and eigenvectors, we can write the general solution as:
\(x(t) = c1[0, 0, t]e^{(8t)} + c2[2t, 5t, -2t]e^{(-8t)}\)
where c1 and c2 are constants determined by initial conditions.
To know more about eigenvalues refer here
https://brainly.com/question/29861415#
#SPJ11
The sum of two numbers is 58 and the difference is 8. What are the numbers?
Answer:
58-8=50
50/2=25
25+8=33
a=25,b=33
Plxxx help meee (giving brainlyest to the person wit the correct answer)
Answer:
i dont know if im correct cause i know nothing about math
Step-by-step explanation:
18.6? my answer
Answer:
The answer is 24.8
Step-by-step explanation:
after you add the total ans subtract it gives you 24.8
In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.
Answer:
y = 28.1739x² + 45.6478x + 617.4879 ;
$3891.36
Step-by-step explanation:
Given the data above :
We can employ an online quadratic model calculator to create a quadratic model of the data:
Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52
The quadratic function obtained is :
y = 28.1739x² + 45.6478x + 617.4879
Using the model ; the price of gold in 2016 will be :
X = 2016 = 10 years (2016 - 2006)
y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559
Hence, the predicted price of gold in 2016 using the model will be $3891.36
suppose that a classroom has 4 light bulbs. the probability that each individual light bulb works is 0.25. suppose that each light bulb works independently of the other light bulbs. what is the probability that all four of the light bulbs work?
The Probability that all four of the light bulbs work is 0.004 approx.
The probability that all four light bulbs work can be calculated by taking the product of the probability that each individual light bulb works. If each light bulb works independently of the other light bulbs, then the probability that all four light bulbs work is:
P(all 4 bulbs) = P(bulb 1) * P(bulb 2) * P(bulb 3) * P(bulb 4)
P(all 4 bulbs) = 0.25 * 0.25 * 0.25 * 0.25
P(all 4 bulbs) = 0.25^4
P(all 4 bulbs) = 0.00390625
So, the probability that all four light bulbs work is 0.00390625 or approximately 0.004.
To know more about Probability:
https://brainly.com/question/16722133
#SPJ4
Situation:
A 15 gram sample of a substance that's a
by-product of fireworks has a k-value of
0.1405.
.-kt
N = Noe
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Find the substance's half-life, in days.
Round your answer to the nearest tenth.
Enter the correct answer.
The substance's half-life is approximately 4.954 days, rounded to the nearest tenth.
To find the half-life of the substance, we can use the formula for exponential decay,\(N = Noe^(-kt)\), where N is the mass at time t, No is the initial mass (at time t = 0), k is the decay constant, and t is the time in days.
In this case, we have a 15-gram sample with a k-value of 0.1405. We want to find the time it takes for the mass to decrease to half its initial value.
Let's set N = 0.5No, which represents half the initial mass:
\(0.5No = Noe^(-kt)\)
Dividing both sides by No:
\(0.5 = e^(-kt)\)
To solve for t, we can take the natural logarithm (ln) of both sides:
ln(0.5) = -kt
Now, we can substitute the given value of k = 0.1405:
ln(0.5) = -0.1405t
Solving for t:
t = ln(0.5) / -0.1405
Using a calculator, we find:
t ≈ 4.954
The substance's half-life is approximately 4.954 days, rounded to the nearest tenth.
For more such questions on half-life
https://brainly.com/question/29599279
#SPJ8
If the point (x, y) is on the y-axis, which of the following must be true? A). x=0 B). y=0
Answer:
X = 0
Step-by-step explanation:
Samir and Ayisha are on one side of a river. Katia is on the other side. The distance between Samir and Katia is 82 ft. The distance between Ayisha and Katia is 80 ft. If the angle from Samir to Katia to Ayisha is 18°, how far apart are Samir and Ayisha?
Using Law of Cosines, the square root of a negative number is not a real number, there is no solution for x.
We can use the Law of Cosines to solve this problem. Let's label the distance between Samir and Ayisha as "x". Then, using the Law of Cosines, we have:
cos(18°) = (80² + x² - 82²) / (2 * 80 * x)
Simplifying this equation, we get:
cos(18°) = (x² - 2x + 3996) / (160x)
Multiplying both sides by 160x, we have:
160x * cos(18°) = x² - 2x + 3996
Simplifying, we get:
0 = x² - 2x + 3996 - 160x * cos(18°)
Now we can use the quadratic formula to solve for x:
\(x = [2 \pm \sqrt{(4 - 4(1)(3996 - 160cos(18^o))) ]} / 2\)
\(x = [1 \pm \sqrt{(1 - (3996 - 160cos(1^o°)))} ]\\x = [1 \pm \sqrt{(160cos(18^o) - 3995)]}\)
Plugging in the value of cos(18°) (which is approximately 0.951), we get:
\(x = [1 \pm \sqrt{(160(0.951) - 3995)}]x = [1 \pm \sqrt{(-2494.4)}]\)
Since the square root of a negative number is not a real number, there is no solution for x. Therefore, the problem may be incorrect or incomplete.
To learn more about law of cosines from given link
https://brainly.com/question/13409288
#SPJ1
1. AGES Mel is 3 years older than Rahfat
and Aurelio is twice as old as Mel. The
sum of their ages is 57. How old
is Mel?
Answer:
15
Step-by-step explanation:
Mel's Age = x
Rahfat's Age = x-3
Aurelio's Age = 2x
2x + x +x -3 = 57
4x -3 = 57
4x = 60
x = 15
A swimmer swims 2 kilometers every 15 minutes. If he comes to swim at the same rate which graph best represents his swimming speed in kilometers per minute
Answer:
62
Step-by-step explanation:
divide lang yan.piste kasi bat kailangan 20 letters
Answer:
la respuesta es la D
Step-by-step explanation:
la velocidad es constante
There are 3 consecutive integers with a sum of 45. What are the integers?
The three consecutive integers are 14, 15, and 16.
Assume the three consecutive integers to be x-1, x, and x+1.
Sum of all three = 45.
x-1 + x + x+1 = 45
3x = 45 (-1 and +1 get cancelled)
x = 45/3
x = 15
the first integer is x-1 = 15 - 1 = 14
the second integer is x = 15
the third integer is x+1 = 15 + 1 = 16
So, the three consecutive integers are 14, 15, and 16.
Learn more about this question:
brainly.com/question/11545317
Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?
Answer:
15 inches
Step-by-step explanation:
As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:
2*Length + 2*Width = 45
Length = 2*Width
So using the value of length in the first equation, we have:
4*Width + 2*Width = 45
6*Width = 45
Width = 7.5
Length = 2*Width = 15
So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.
Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2
The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = 2( l + b) h
It is given that length, breadth and height are 3cm, 3cm and 2cm.
The lateral surface area of this rectangular prism = 2( l + b) h
= 2 (3+3) 2
= 4 × 9
= 36cm sq.
Hence, the lateral surface area of this rectangular prism is 36cm sq.
Learn more about prism;
brainly.com/question/1601740
Answer:
39 ig
Step-by-step explanation:
Help a brother out :(
Answer:
x = -16/13
Step-by-step explanation:
17x + 14 = 4x - 2
13 x = -16
x = -16/13