There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.
Let's define the number of first class passengers as x and the number of tourist class passengers as y.
We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360
We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12
So, there are 12 first class passengers.
Using y = 52 - x, we find:
y = 52 - 12 = 40
Thus, there are 40 tourist class passengers.
if angle B is two more than three times the measure of angle C, and angle B are
complementary angles, find each angle measure.
Set up a system of equations:
B=2+3C
B+C=90
The variable B is already solved, so plug into bottom equation:
2+3C+C=90
2+4C=90
4C=88
C=22
Plug C back in:
B+22=90
B=68
So B is 68 degrees and C is 22 degrees
Hope this helped!
The population of a city is currently 1500. It is expected to triple every
- years. Find the population after 30 years.
Answer:
135000
Step-by-step explanation:
1500 x 3 x 30
so u start out with ur number u have now then u multiply that by 3 because it triples every year and it askes the population in 30 years so its 1500x3x30 = 135000 ur welcome
How do you Change 56/8 into a mixed number
What does x equal in 10x=6x-12
11+(3p + 5x) +4x - x
Answer:
I believe the answer is: 33p+62x
Step-by-step explanation:
33p+55x+4x-x
33p+59x+4x-x
33p+63x-(1)x
33p+62x
At a school 40% of the sixth graders students said that hip hop is their favorite kind of music. If 100 sixth graders students prefer hip hop music, how many sixth graders are at the school?
Answer:
If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.
50 × 5 = 250 sixth-graders
Answer:
60 percent i'm sure
Step-by-step explanation:
14
The area of a square garden is 200 m2. How long is the diagonal?
an
10,5 m
les
200 m
100 m
20 m
atio
Answer: [tex]d = 20m[/tex]
Step-by-step explanation:
The formula for calculating the area of square is given by :
Area = [tex]s^{2}[/tex]
where s is the length of a side , that is
200 = [tex]s^{2}[/tex]
Therefore :
[tex]s = \sqrt{200}[/tex]
[tex]s = 10\sqrt{2}[/tex]
Recall that the diagonals of a square meet at right angle , then we can calculate the diagonal by Pythagoras theorem , that is
[tex]d^{2}[/tex] = [tex](\sqrt{10})^{2}[/tex] + [tex](\sqrt{10})^{2}[/tex]
[tex]d^{2} = 200 + 200[/tex]
[tex]d^{2} = 400[/tex]
[tex]d = \sqrt{400}[/tex]
[tex]d = 20m[/tex]
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5?A addition B division C subtraction D multiplication
Answer:
Multiplication
Step-by-step explanation:
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-Since there are parentheses you do that first, so multiplication.
Final answer:
The first operation to perform when simplifying the expression is D: Multiplication, specifically within the brackets where it states 54 × 6. The answer is option D.
Explanation:
When simplifying the expression 63 − (2 + 54 × 6) ÷ 5, according to the order of operations, commonly known as PEMDAS or BEDMAS, we must first perform the operation in the Brackets (in American English, Parentheses are used instead of Brackets).
Within the brackets, the correct sequence of operations is Exponentiation, Multiplication/Division (from left to right), and then Addition/Subtraction (from left to right). Since there is no exponentiation in the brackets, we start with multiplication (54 × 6), which will affect the result within the brackets before performing the addition (2 + ...) and then division ÷ 5. Therefore, the first operation to perform is D: Multiplication.
identity of survey, this is for math, can i get an explanation?
Answer:
Third statement: convenience sampling.Explanation:
The student used convenience sampling.
The population of the study is the entire population of students of the school.
Since it is time consuming to survey all the students, the high school volunteer student needs to survey a sample.
A systematic random sample would have used a procedure, algorithm, method (a system) to select a random sample. This is not what the student did, thus the first option is incorrect.
A voluntary sampling consits of volunteer people who agree to take part in the study and answer the survey. This isn't either how the sample was choosen, thus the second option is also incorrect.
A convenience sample is when the sample is chosen for the researcher's ease, i.e. convenience. In this case, the student decided to survey only members of his class instead of selecting a representative sample of all the classes. This sample is not random, since not every member of the population has equal chances to be chosen, but it is easy for the student to survey a group that is very close to him. Hence, the third statement is correct.
The was not an statrified sampling (fourth choice), since statrified sampling consists in creating different groups and chosing some members from every group. This is not what the researcher did.
What is the GCF (greatest common factor of 9 and 18?
Answer:
9
Step-by-step explanation:
6. 4x + 2y = 16
| 5x - 2y = 38
Answer:
2y-2y=0
9x=54
x=54/9
x=6
PLEASE HELP ASAP PLEASE PLEASE PLEASE
Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.
The roots of Billy's plant grew to 3 inches beneath Earth’s surface. Graph all the possible depths the roots can continue to grow.
Answer:
i am taking the test now and its going left on negative 3 open circle
Step-by-step explanation:
How does 4 × 1/2 = 1 explain
Answer: The answer is not 1 it's 2
Step-by-step explanation:
Multiply 4*1 to get 4
Multiply 1*2 to get 2
Your answer should be 4/2 which equals 2
A cube has a volume of 74 088 cm cubed. What is the surface area of the cube
Answer:
10 cm²
Step-by-step explanation:
74 088 is the cubed of one side. So you would do [tex]\sqrt[3]{74088}[/tex] which is 42. So one side of the cube is 42. To find the surface area, you would do 6(42x42) which would give you 10584. Remember to put cm²
The area of a what is half of the base multiplied by the height.
Answer:
Triangle
Step-by-step explanation:
Area of a triangle = 1/2 bh
Answer:
The correct ans is a: triangle
Step-by-step explanation:
I hope this helps! :)
Plz mark brainliest I am trying to rank up!
Have a nice day!
Expand to write an equivalent expression: -1/4(8x+12y
Answer:
-1/4(8x+12y)=-2x-3y
The expanded equivalent expression of -1/4(8x+12y) is -2x - 3y.
Explanation:The given mathematical expression is: -1/4(8x+12y). To expand and simplify this expression, we need to apply the distributive property of multiplication over addition, which means we multiply -1/4 with both 8x and 12y separately. So, the first step would be -1/4 * 8x which becomes -2x. Doing the same for the second term, -1/4 * 12y, the result will be -3y. Therefore, the equivalent expanded expression becomes
-2x - 3y
.
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What is 3(x+3)+7x= ?
Answer:
10x+9
Step-by-step explanation:
You first have to multiply 3 into the parenthesis because you have to use distributive property.
Once you do that you get 3x+9+7x.
Combine like terms.
10x+9
Please show the steps to-
Julie has 81 pieces of jewelry.
She has twice as many earrings as she has necklaces.
Julie has 27 necklaces and 54 earrings.
Let's assume Julie has x necklaces. Since she has twice as many earrings as necklaces, she would have 2x earrings.
We know that Julie has a total of 81 pieces of jewelry, which includes both necklaces and earrings. Therefore, we can set up a system of equations to represent the given situation:
Equation 1: x + 2x = 81
In Equation 1, we add the number of necklaces (x) and the number of earrings (2x) together, resulting in 81, which is the total number of pieces of jewelry Julie has.
Now, we can solve Equation 1 to find the value of x:
3x = 81
x = 81 / 3
x = 27
So, Julie has 27 necklaces.
To find the number of earrings she has, we can substitute the value of x back into the equation:
2x = 2 * 27
2x = 54
Thus, Julie has 54 earrings.
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Complete Question:
julie has 81 pieces of jewelry. she has twice as many earrings as she has necklaces How many of each does julie have? Write a system of equations for the situation. (two seperate equations ). find the solution.
Final answer:
Using basic algebra, Julie has 27 necklaces and 54 earrings. We found this by setting up the equation 2N + N = 81, solving for N (number of necklaces), and then multiplying by 2 to get the number of earrings.
Explanation:
The student's question regarding Julie's 81 pieces of jewelry can be solved using basic algebra. We know that the number of earrings is twice the number of necklaces. Let's define the following:
Earrings (E) = 2NNecklaces (N) = NTotal jewelry (T) = E + NWe're given that T = 81, so we can substitute E with 2N to get the equation:
2N + N = 813N = 81N = 27Hence, Julie has 27 necklaces. Now we can find the number of earrings:
E = 2NE = 2 * 27E = 54Therefore, Julie has 54 earrings and 27 necklaces.
The sum of two numbers is 4 1/8 and their difference is 7/8. What are the numbers? Explain how you found your answer.
Final answer:
To find the two numbers, set up a system of equations and use the method of elimination to solve. The two numbers are 5/2 and 13/8.
Explanation:
To find the two numbers, we can set up a system of equations. Let's say the two numbers are x and y. We have the following information:
x + y = 4 1/8
x - y = 7/8
To solve this system, we can use the method of elimination. We can add the two equations together to eliminate the variable y:
(x + y) + (x - y) = 4 1/8 + 7/8
2x = 5
x = 5/2
Substituting this value back into one of the original equations, we can solve for y:
(5/2) + y = 33/8
y = 33/8 - 5/2
y = 33/8 - 20/8
y = 13/8
Therefore, the two numbers are 5/2 and 13/8.
Ben, Tracy, and Tran spent a total of $15 to go skating, they each rented skates at the park for n dollars.
The problem involves an algebraic expression where Ben, Tracy, and Tran each spend an equal amount, n, on skate rentals that total $15. By setting up an equation, we solve for n, which is $5 per person. This concept is related to understanding budget constraints in financial decision-making.
The student's question about Ben, Tracy, and Tran spending a total of $15 to go skating where they each rented skates for n dollars pertains to algebraic expressions and equations, which is a mathematics concept commonly explored in college-level courses. If we assume that each of them paid an equal amount for the skate rental, represented by n, then we can express the total cost as 3n because there are three individuals.
Given that the total cost was $15, we can set up an equation: 3n = $15. To find the cost of renting skates per person, we solve for n by dividing both sides of the equation by 3, resulting in n = $5. Therefore, each person paid $5 to rent the skates.
Understanding how to solve this problem helps in grasping the concept of budget constraints, as seen in the example of Janet Bain who must decide how to allocate a limited budget of $250 for activities such as skiing and horseback riding. This topic relates to the decision-making processes regarding spending within the constraints of a budget, which is essential in both personal and organizational finance.
If eight apples cost the same as four bananas, and two bananas cost the same as three cucumbers, how many cucumbers can Tyler buy for the price of 16 apples?
Answer:6
Step-by-step explanation:because every 8 apples =3 cucumbers so 8 times 2 =16 so 3 times 2 =6
Answer:
12
Step-by-step explanation:
how do you simply this expression (x+2)-(1x-2)-12x
Answer:
4-12X
Step-by-step explanation:
Expression: (x+2)-(1x-2)-12x
First step: x+2-1x+2-12x
Second step: (2+2)+(x-1x-12x)
Third step: 4-12X
Evaluate a+4 when a =7
If a = 7 then a+4 = 11.
a+4 is basically 7+4.
Hope this helps :)
Answer:11
Step-by-step explanation:if a=7 then that means the problem is 7+4 and that equals 11
If the dilation is given: triangle ABC->Triangle ¨A¨B¨C under do.2 which of the following is the scale factor.
Answer:0.5
Step-by-step explanation:
Please help asap i will mark branlist please explain
Answer: D
Step-by-step explanation: In this problem, we want find the difference between each of the x-term and each of the y-terms.
Let's begin with the x-terms.
Notice that the difference between 1 and 0 is +1, the difference between 2 and 1 is +1, the difference between 3 and 2 is +1, and the difference between 4 and 3 is +1.
Now, looking at the y-terms.
The difference between 5 and 2 is +3, the difference between 8 and 5 is +3, the difference between 11 and 8 is +3, and the difference between 14 and 11 is +3.
To write an equation, we need to know the multiplier and the base.
The multiplier will be equal to the change in y over the change in x.
The change in y is always +3 and the change in x is always +1.
So we have [tex]\frac{+3}{+1}[/tex] which is equal to +3.
This means that the multiplier is equal to 3.
Next, we want to find the base or the value of y when x is equal to 0. The base is equal to when x is equal to 0.
Now to write an equation from the data in the table, we begin with the equation y = mx + b where m is the multiplier and b is the base.
We know that the multiplier is 3 and the base is 2.
So we have y = 3x + 2.
So your answer is D.
PLS HELP! find the nth term of the sequence
Solve for P
21 plus p equals 44
P equals what
Answer:
p= 23
Step-by-step explanation:
How do you write 0.35 as a fraction in simplest form
Answer:It equals -7/20 because Here's how to convert 0.35 to a fraction... There is not much that can be done to figure out how to write 0.35 as a fraction, except to literally use what the decimal portion of your number, the .35, means. Since there are 2 digits in 35, the very last digit is the "100th" decimal place. So we can just say that .35 is the same as -35/100. The fraction -35/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 5. Why divide by 5? 5 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 35 and 100.
So, this fraction reduced to lowest terms is -7/20.
So your final answer is: 0.35 can be written as the fraction -7/20
Hope this helps... Plz mark me brainliest if the answer is correct... Stay safe and have a great weekend!!! :D
The Endeavor, a space shuttle, has speeds of about 27,404 feet per second. Convert the speed into kilometers per hour and miles per hour.
Answer:
Speed of shuttle in km per hr = 30069.86 km per hr
Speed of shuttle in miles per hr = 18643.31 miles per hr
Step-by-step explanation:
Speed of space shuttle in feet per second= 27,404 feet per second
As
One foot per second = 1.09728 kilometers per hour,
The speed in kilometers per hour is equal to the feet per second multiplied by 1.09728
So
To find out speed of shuttle in km per hour we will mutilpy our speed with 1.09728
27404 ft per sec = 27404x 1.09728 km per hr
speed of shuttle in km per hr = 30069.86 km per hr
Now
As we know 1km = 0.621371 miles
To convert this speed into miles per hr we will multiply our speed with 0.621371
30069.86 km per hr = 30069.86x0.621371 miles per hr
speed of shuttle in miles per hr = 18643.31 miles per hr
Keywords: conversion of measurements
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Carl and Tamera want to compare tests in math class. They have taken six tests. Should they use the mean, median or mode to compare their scores? Explain your choice.
Answer:
Mean
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, if they use the mean to compare their scores, it is basically just averaging them. If they each average their own scores, they can see who did better!
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥