Part (a)
Lars goes every 2 daysRita goes every 3 daysThe LCM of 2 and 3 is 2*3 = 6.
Lars and Rita's schedule aligns every 6 days.
These two went swimming together on June 1st.
6 days later would be June 7th, which is when they swim together again. See the chart in part (d) below.
Answer: June 7th======================================================
Part (b)
Rita goes every 3 daysAlan goes every 5 days.LCM = 3*5 = 15
Add 15 days to the first of June to get 1+15 = 16. See the chart in part (d) below.
Answer: June 16th======================================================
Part (c)
The LCM of 2, 3, and 5 is 2*3*5 = 30
The trio will swim together every 30 days.
Since there are 7 days in a week, divide 30 over 7 and find the remainder.
30/7 = 4 remainder 2
We don't care about the quotient. All we focus on is the remainder.
A remainder of 2 means that we move 2 days ahead of Friday to land on Sunday. You can use a calendar to confirm that adding 30 days to the starting Friday will get you to Sunday. It doesn't matter what month you are in, so it could be June or any month really.
Answer: Sunday======================================================
Part (d)
Here's a chart when all three go swimming:
[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Lars} & \text{Rita} & \text{Alan}\\\cline{1-3}1 & 1 & 1\\\cline{1-3}3 & 4 & 6\\\cline{1-3}5 & 7 & 11\\\cline{1-3}7 & 10 & 16\\\cline{1-3}9 & 13 & 21\\\cline{1-3}11 & 16 & 26\\\cline{1-3}13 & 19 & 31\\\cline{1-3}15 & 22 & 36\\\cline{1-3}\end{array}[/tex]
Each number refers to a day number in June, with exception to the 36 for Alan. Treat that "36" as 36-30 = 6 days beyond the end of June (aka July 6th).
Each person starts at 1. Lars will involve adding 2 to each item. Rita has +3 to each item. Alan has +5 to each item. That chart shows "15" only in the Lars column.
Answer: Lars onlyAfter allowing 10% discount on the marked price of a radio, 13% VAT was levied and sold it. If the difference between selling price with VAT and selling price after discount is Rs 1170, find the marked price of that radio
The marked price of the radio is Rs 10000.
How to find the marked price of that radioFrom the question, we have the following parameters that can be used in our computation:
Discount = 10%
VAT = 13%
VAT - Selling price = 1170
Represent the price of the radio with x
Using the above as a guide, we have the following:
Discount = 10% implies 0.9x
VAT = 13% implies 0.9x * 1.13 = 1.017x
So, the difference is
1.017x - 0.9x = 1170
This gives
0.117x = 1170
Divide
x = 10000
Hence, the price of the radio is Rs 10000.
Read more about discount at
https://brainly.com/question/7459025
#SPJ1
Solve the following system of equations
using the elimination method.
3x + 2y = 5
2x + 4y = 2
Answer:
x=2 , y= (-1/2)
Step-by-step explanation:
3x + 2y = 5
2x + 4y = 2
Consider Equation 1:- (3x+2y=5)
Multiply both sides by 2
2(3x + 2y) = 5*2
6x + 4y = 10
Subtract both equations-
6x + 4y =10
-2x + 4y =2
=> 4x =8
x = 2
Substitute the value of x in equation 1
3*2 + 2y = 5
6 + 2y = 5
2y = 5-6
2y = (-1)
y = (-1/2)
Hope is helps ;)
What is the period of the function f(x) shown in the graph?
Enter your answer in the box.
Basic
Answer:
Period is [tex]\mbox{\huge {\boxed{\pi }}}[/tex]
Step-by-step explanation:
Each gridline marker on the horizontal axis is π/4
The period of this function is the horizontal displacement at which the function starts to repeat itself
Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4
So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π
We could also double check this using another point of reference
let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4
So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.
The best measure of center for this data is the median, and its value is 49.
What is the median in statistics?
In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.
To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.
To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.
In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.
We are given that;
The list of donation is as follows
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
Now,
Mean is the middle term of the data
Here,
Middle term of data = 49
Therefore, the mean of the given list will be 49.
Therefore, the best measure of center for this data is the median, and its value is 49.
To learn more about the median in statistics, visit:
https://brainly.com/question/7730356
#SPJ1
Answer: The median of 49 is the most accurate to use, since the data is skewed.
Step-by-step explanation:
The axis of symmetry for the graph of a parabola is x = 3. If one point on the graph of the parabola is (0, -5), then another point on the graph is:
A. (6,-5)
B. (0, 2)
C. (3.-5)
D. (-5.0)
Answer:
A
Step-by-step explanation:
For any given point on a parabola,
(x,y)
If we know the axis of symmetry x=a.
We can find the other point
If the given point x value is less than the axis of symmetry
(x+2a,y)
if the given point y value is greater than axis of symmetry
(x-2a,y)
Here, since 0<3, we use the first formula to find the new point
(0+2(3),-5)=(6,-5)
So the point is A.
Talia deposits $100 into her account. If her account balance grows exponentially and she makes no additional deposits or withdrawals, which of these shows her possible balance amounts for the first four years?
The balance of Talia's account will grow exponentially if the interest is compounded annually.
The formula for calculating the balance after n years can be represented as:
[tex]B = P * (1 + r)^n[/tex]
where B is the balance, P is the principal (initial deposit), r is the interest rate as a decimal, and n is the number of years. If Talia deposits $100 into her account and the interest rate is x%, the possible balance amounts for the first four years can be calculated as follows:
Year 1: [tex]B = 100 * (1 + 0.01x)^1[/tex]
Year 2: [tex]B = 100 * (1 + 0.01x)^2[/tex]
Year 3: [tex]B = 100 * (1 + 0.01x)^3[/tex]
Year 4: [tex]B = 100 * (1 + 0.01x)^4[/tex]
It is important to note that the interest rate, x, must be provided in order to calculate the exact balance amounts.
Learn more about interest rate :
https://brainly.com/question/13324776
#SPJ4
a group of 100 people contains 60 democrats and 35 republicans. if there are 60 women and 40 of the democrats are women, what is the probability that a person selected at random is a democrat or a woman?
The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.
Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.
Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:
P(Democrat) = 60/100 = 0.6
Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:
P(Woman) = 60/100 = 0.6
Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:
P(Democrat and Woman) = 40/100 = 0.4
To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:
P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)
= 0.6 + 0.6 - 0.4
= 0.8
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
write an equation for the exponential growth of the population in the us if in 1970 the population was 203 million and ten years later, 1980, the population was 226 million.
The exponential function for the population is X = 203.[tex]e^{0.0107.t}[/tex]
The formula for an exponential function is f (x) = ax, where x is a variable and a is a constant that serves as the function's base and must be greater than 0.
Let be supposed that population can be modelled by means of the following exponential function:
X = A.[tex]e^{Bt}[/tex]
Where:
t - Time, measured in years. Where t = 0 for 1970.
A - Initial population, in millions inhabitants.
B - Exponential rate constant, in years.
X - Population, in millions inhabitants.
Each constant is found hereafter:
X = A.[tex]e^{Bt}[/tex]
203 = A.[tex]e^{B*0}[/tex]
203 = A[tex]e^{0}[/tex]
A= 203
X = A.[tex]e^{Bt}[/tex]
X = 203[tex]e^{B.10}[/tex]
226 = 203[tex]e^{B.10}[/tex]
B = 1/10(ln(226/203))
B = 0.0107
The exponential function for the population is:
X = 203.[tex]e^{0.0107.t}[/tex]
know more about exponential function click here;
https://brainly.com/question/16657040
#SPJ4
what is 12x - 8 + 7x + 32
Answer: 19x+24
Step-by-step explanation: 12x−8+7x+3212−8+7+32 x12+24+7
Answer: 19x +24
Step-by-step explanation:
what’s (-3x^5)^2 times 4x^3
Answer:36x^13
Step-by-step explanation:
We can solve this problem using the rule of exponents: (am)n = amn.
First, let's simplify the exponent on the first term:
(-3x^5)^2 = (-3x^5) × (-3x^5)
Next, let's multiply this by 4x^3:
(-3x^5)^2 × 4x^3 = (-3x^5) × (-3x^5) × 4x^3
Now, let's multiply the coefficients and combine the exponents:
(-3 × -3)x^(5 + 5 + 3) = 36x^13
Therefore, the answer is 36x^13.
Please help me I’m stuck:)
Answer:
(a) (0,0)
Step-by-step explanation:
Solving with Elimination method-
Take the first equation- 3x - 2y = 6
Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12
Subtract Both the equations-
6x - 4y = 12
- 6x - 4y = 12
= 0 = 0
The answer is (0,0)
a department store gets an average of 16 calls in a 2 hour time period. what is the probability that the department store will get at most 3 calls in a 55 minute period? round the final answer to three decimal places.
The probability that the department store will get at most 3 calls in a 55 minute period is 0.066
The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.
It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute
Find the probability by Poisson distribution with parameter
λ = 223
P(X = x) = λˣе - λx!
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)
= 0.0006 + 0.004 + 0.018 + 0.043
P(X ≤ 3) ≈ 0.066
To know more about Poisson distribution
https://brainly.com/question/24243262
#SPJ4
-3x+8=5x-72 solve for x please
Answer:
x = 10
Step-by-step explanation:
[tex]-3x+8=5x-72[/tex]
Subtract 5x from both sides:
[tex]-3x+8-5x=5x-72-5x[/tex]
[tex]-8x+8=-72[/tex]
Subtract 8 from both sides:
[tex]-8x+8-8=-72-8[/tex]
[tex]-8x=-80[/tex]
Divide both sides by -8:
[tex]\dfrac{-8x}{-8} =\dfrac{-80}{-8}[/tex]
[tex]\boxed{x=10}[/tex]
8. the weights of cows offered at an auction in one region are normally distributed with a mean of 825.0 pounds and a standard deviation of 74.8 pounds. one cattleman only wants to bid on cows that are in the top 5% of weight. what is the lowest weight cow that the cattleman should bid on
The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.
To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.
Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:
z = invNorm(0.95) ≈ 1.645
where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.
Next, we can use the z-score formula to convert the z-score to a weight value:
z = (x - μ) / σ
Solving for x, we get:
x = z * σ + μ
Substituting the values given in the problem, we get:
x = 1.645 * 74.8 + 825.0
x ≈ 944.0 pounds
Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.
Learn more about standard distribution here brainly.com/question/29509087
#SPJ4
A
(12x-1)º
(10x)
C
Find m Z A.
(3x+6)°
B
The measure of angle A is 83 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In the triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6
Now we need to find the value of angle A.
We know that from angle sum property that the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
12x-1+10x+3x+6=180
25x+5=180
25x=175
Divide both sides by 25
x=175/25
x=7
Now angle A is 12(7)-1=84-1=83 degrees
Hence, the measure of angle A is 83 degrees.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ9
The complete question is In Triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6 then the measure of m∠A
Calculate the area of a parallelogram which sides are 8cm 13cm and11cm
Answer:
the answer will be based on which is the base and height, the area of a parallelogram is base×height(bh) so, all you have to do is multiply the base with the height. For example if the base is 7cm, height is 12cm, and the other side is 3cm. The area of the parallelogram from the question will be 84cm²
(SAT Prep) Find the value of x
FIND THE VALUE OF x IT IS NOT 5x
does -8(v+1)=2(1-4v)-9 have no solutions one solution or all numbers are solutions if its one solve for v
Answer:
No solutions
Step-by-step explanation:
[tex]-8(v+1)=2(1-4v)-9\\-8v-8=2-8v-9\\8=-7\\8\neq-7[/tex]
Hence, there are no solutions to make both sides of the equation true.
Scatter plot, 8 grades help please!!!
Answer: 4 people
Step-by-step explanation:
As you can see the money spent is on one side of the graph and the people attending on the other. Try to go along the line of where 60 is and find where the line meets the line on 60. Look down and you can see 4.
Microsoft Windows XP operating system is installed on 20% of the company's computers, Microsoft Windows 7 is installed on 85% of computers, and Linux operating system is installed on 10%. At the same time, Linux and Microsoft Windows 7 are installed on 6% of computers, Microsoft Windows XP and Linux on 4%, all three programs are installed on 2% of computers. How many percent of computers have the Microsoft operating system installed?
To find out how many percent of computers have the Microsoft operating system installed, we need to add up the percentage of computers that have Windows XP and Windows 7 installed.
First, let's find out how many percent of computers have both Windows 7 and Linux installed:
85% (Windows 7) - 6% (Windows 7 & Linux) = 79% (Windows 7 only)
Next, let's find out how many percent of computers have both Windows XP and Linux installed:
20% (Windows XP) - 4% (Windows XP & Linux) = 16% (Windows XP only)
Finally, let's add up the percentage of computers that have Windows XP and Windows 7 installed:
79% (Windows 7 only) + 16% (Windows XP only) = 95%
So, 95% of the company's computers have the Microsoft operating system installed.
Answer:
o calculate the percentage of computers with the Microsoft operating system installed, we need to find the total number of computers that have either Windows XP or Windows 7 installed.
Microsoft Windows XP operating system is installed on 20% of the company's computers, so 20% of the computers have Windows XP installed.
Microsoft Windows 7 is installed on 85% of computers, so 85% of the computers have Windows 7 installed.
Linux and Microsoft Windows 7 are installed on 6% of computers, so 6% of the computers have both Windows 7 and Linux installed.
Microsoft Windows XP and Linux on 4% of computers, so 4% of the computers have both Windows XP and Linux installed.
All three programs are installed on 2% of computers, so 2% of the computers have all three programs installed.
To avoid double-counting the computers that have both Windows 7 and Linux installed, we need to subtract 6% from the total number of computers with Windows 7 installed. The same applies to the computers that have both Windows XP and Linux installed, so we need to subtract 4% from the total number of computers with Windows XP installed.
The total number of computers with Windows XP or Windows 7 installed is 20% + (85% - 6%) + (20% - 4%) = 20% + 79% + 16% = 115%.
So, 115% of the company's computers have the Microsoft operating system installed.
Step-by-step explanation:
Look at the pic please
Answer:its a graph
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. Fishman, Goron, Smith, other.
b. 98 people
Use the percent formula:
P% of number = x in this case it's 35/100 * 280 = x
x = 98
c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.
Bob tardo 55 minutos en limpiar el garaje. Cuantos segundos tardo bob?un minutos tiene 60 segundos
Bob tardó 55 minutos en limpiar el garaje, por lo que debemos convertir ese tiempo a segundos para saber cuánto tiempo tardó exactamente.
Sabemos que 1 minuto tiene 60 segundos, por lo que podemos utilizar esta información para convertir los 55 minutos a segundos. La fórmula para realizar esta conversión es:
Segundos = Minutos * 60
Aplicando esta fórmula a los 55 minutos que Bob tardó en limpiar el garaje, obtenemos:
Segundos = 55 * 60
Segundos = 3300
Por lo tanto, Bob tardó 3300 segundos, o aproximadamente 55 minutos, en limpiar el garaje.
Es importante destacar que la conversión de tiempo de minutos a segundos es una operación común en matemáticas y cálculo, y es útil para resolver problemas en los que es necesario trabajar con diferentes unidades de tiempo. Además, entender la relación entre diferentes unidades de tiempo es esencial para realizar cálculos precisos y resolver problemas de manera efectiva.
To know more about Bob tardó click here:
brainly.com/question/28789438
#SPJ4
Which cylinder has a volume of 45% cm³?
Answer:
Right cylinder
Step-by-step explanation:
Right cylinder
Jordan is a wildlife photographer. Today they are taking a picture of a Mountain
Goat. The Mountain Goat is 5,000 feet up a mountain and Jordan is 200 feet from
the base of the mountain. What angle of elevation does the camera need to be at for
the picture? Round to the nearest tenth.
Joseph runs 212 miles on Monday. Each day after that, he runs the same 113 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
The inequality that represents the least number of days after Monday that Joseph needs to run to reach his goal is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex] ≤ 6
Number of miles that Joseph run on Monday = [tex]2\frac{1}{2}[/tex] miles
Number of miles that Joseph run each day after that = [tex]1\frac{1}{3}[/tex] miles
The inequality is the mathematical statement that shows the relationship between two expression using an inequality symbol. The inequality symbols are less than, greater than, less than or equal and greater than or equal.
Then the inequality will be
[tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex] ≤ 6
Where x is the number of days after Monday that Joseph needs to run to reach his goal
Therefore, the inequality is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex] ≤ 6
Learn more about inequality here
brainly.com/question/30231190
#SPJ4
how many four-digit numbers are made up of four consecutive numbers from 1-9 in some order, like 5342 or 7658?
There 144 four digit numbers are made up of four consecutive numbers from 1 to 9
We can approach this problem by counting the number of ways we can choose four consecutive numbers from 1-9 and then arranging them in a four-digit number.
Here we have to use combination
There are 6 possible sets of four consecutive numbers in the range 1-9
= {1,2,3,4}, {2,3,4,5}, {3,4,5,6}, {4,5,6,7}, {5,6,7,8}, and {6,7,8,9}.
For each set, there are 4! = 24 ways to arrange the four numbers into a four-digit number.
So the total number of four-digit numbers made up of four consecutive numbers from 1-9 is:
6 sets × 24 arrangements per set = 144
Therefore, there are 144 such four-digit numbers.
Learn more about combination here
brainly.com/question/28720645
#SPJ4
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students. Ice Cream Candy Cake Pie Cookies 81 9 72 36 27 Which statement is the best prediction about the slices of pie the college will need? The college will have about 480 students who prefer pie. The college will have about 640 students who prefer pie. The college will have about 1,280 students who prefer pie. The college will have about 1,440 students who prefer pie.
The college will have about 640 students who prefer pie. We can calculate percentages based on the student sampling of 225 students (assuming it was a completely random sample, and not one taken just from a specific group, such as football players at half-time).
What is random sample?
A simple random sample is a subset of a statistical population where each member has an equal chance of being selected. Unbiased representation of a group is what a straightforward random sample is supposed to be.The researcher uses simple random sampling, a type of probability sampling, to randomly select a subset of individuals from a community. Every member of the population has the same chance of being selected.A random experiment has a result known as a sample. One particular value is chosen at random from a pool of potential values when we sample a random variable.A sample is that specific value. The probability distribution of the random variable specifies the possible values and their probabilities.To make a prediction, we need to assume that the preferences of the 225 students surveyed are representative of the entire student population of 4,000. We can use the proportion of students who prefer pie in the sample to make an estimate.
The proportion of students who prefer pie in the sample is:
36/225 = 0.16
We can use this proportion to estimate the number of students who prefer pie in the entire population:
4,000 x 0.16 = 640
Therefore, the best prediction about the slices of pie the college will need is that the college will have about 640 students who prefer pie. So the option "The college will have about 640 students who prefer pie" is the correct statement.
To learn more about random sample refer to:
brainly.com/question/24466382
#SPJ1
A small town has two local high schools. High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
What exactly is a linear equation?
The equation is referred to as linear when a variable's maximum power is 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. This equation has three variables: x, A, and B. A is a coefficient. A linear equation in which there are only two variables typically takes the form Ax + By = C. In addition to the constant C, there are three other constants: the variables x and y, the coefficients A and B, and the variables.
Now,
As given that High School A currently has 1000 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 55 students each year.
Let A represent the number of students in High School A in t years, and
Let B represent the number of students in High School B after t years.
Then A=initial students+35*no. of years and B=initial students+55*no. of years i.e. A=1000+35t and B=700+55t
and for A=B
1000+35t=700+55t
55t-35t=1000-700
20t=300
t=15
hence,
The linear equation for A and B will be A=1000+35t and B=700+55t where t=no. of years and A will be same as B in 15 years.
To know about linear equations visit the link
brainly.com/question/29739212
#SPJ1
What is the measure of each angle in a regular polygon with 9 sides?
Answer: 140
Step-by-step explanation:
Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.
Look at the expression and fill in the correct number in each blank.
The given expression has
term(s) with
1,500(1+1)*
factors.
The expression has 3 terms and 3 factors
What are the terms of the equationThe terms are the constant, the r term and the t term
The factors that are in the equation are 1500, 1 and 12
What is an exponential equation?An exponential equation is an equation that involves an exponential function, which has the form f(x) = a^x, where "a" is a constant base and "x" is the exponent. Exponential equations are used to model phenomena that grow or decay at a constant relative rate. The solutions to exponential equations can be found by manipulating the equation algebraically to isolate the variable in the exponent, taking logarithms of both sides, or by using exponential rules such as the power rule or the product rule.
Read more on exponential equation here:https://brainly.com/question/12940982
#SPJ1
