The number 3.141595... is called what?
At city high school,the sophomore class has 60 more students than the freshman class.the junior class has 50 fewer students than twice the students in the freshman class.the senior class is three times as large as the freshman class.if there are a total of 1,424 students at the city high school,how many students are in the freshman class?
The number of students in the freshman class are:
202
Step-by-step explanation:Let the number of students in Freshman class = x
The sophomore class has 60 more students than the freshman class.This means that the number of students in sophomore class = x+60
The junior class has 50 fewer students than twice the students in the freshman class.This means that the number of students in junior class= 2x-50
The senior class is three times as large as the freshman class.This means that the number of students in senior class are: 3x
There are a total of 1,424 students at the city high school.This means that:
[tex]x+x+60+2x-50+3x=1424\\\\x+x+2x+3x+60-50=1424\\\\7x+10=1424\\\\7x=1424-10\\\\7x=1414\\\\x=\dfrac{1414}{7}\\\\x=202[/tex]
A coin is flipped five times find the number of possible sets of heads and tails that have 0 heads
The number of possible sets with 0 heads when flipping a coin five times is 1, represented by five consecutive tails (TTTTT).
When flipping a coin five times, the number of possible sets that have 0 heads (meaning all tails) is just one. This single microstate is TTTTT.
The reason for this is that each coin flip is an independent event with two possible outcomes: heads (H) or tails (T). When we are only concerned with the total head and tail count and not the order in which they appear, the only set with 0 heads is the set where every coin lands on tails.
Algebra Vocabulary Crossword help ?!
1. a relation described in word format? (17 letter)
9. a way to name a function identifying its input?
(16 letter)
The student is looking for the terms 'Verbal Description' and 'Function Notation' for their Algebra Vocabulary Crossword. These refer to a relation described in word format and a way to name a function identifying its input respectively.
Explanation:Based on the number of letters you've indicated, it looks like you're looking for two vocabulary items in the field of Algebra.
First, a relation described in a word format is typically called a Verbal Description, which has 17 letters.
Second, a way to name a function identifying its input is called Function Notation, which has 16 letters.
In Algebra, Verbal Description is when you describe a mathematical relationship using words. For example, 'the sum of a number and three is seven.' This could be translated to the equation x+3=7.
Function Notation, on the other hand, is a way to name a function that is dependent on one or more inputs. For example, f(x) = x^2 is function notation, since the output 'f(x)' is dependent on the input 'x'.
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Simplify the Expression.
-1/8 - 2/7 =
A. -1/8
B. 23/56
C. -23/56
D. 1/5
If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes
Answer:
The answer is 27:125
Cho welcome
If an exterior angle of a regular polygon measures 40°, how many sides does the polygon have?
What is 39ft/min to yd/s?
Please explain using dimensional analysis.
Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4
Michael has 4 lots of land to sell. He sells two of them at a loss of $1,200 each and sells the other two at a profit of $1,400 each. How much money does he make on his investment?
Michael makes a total of $400 from his land investment after calculating the total losses and gains from the lands sold.
Explanation:In order to find out the total money that Michael has made from his land investment, you need to calculate the losses and the gains individually. Michael sells two of his lands at a loss of $1,200 each, hence his total loss is 2 * $1,200 = $2,400. On the other hand, he sells the other two lands at a profit of $1,400 each, hence his total profit is 2 * $1,400 = $2,800.
To get the total money that he made on his investment, you subtract the total loss from the total profit. That is $2,800 (total profit) - $2,400 (total loss) = $400. Hence, Michael makes $400 on his investment.
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If y = 44 when x = –264, what is y when x = –486
The value of 'y' when x equals -486 using the same ratio (1:6) as given in the original input is -81.
Explanation:To solve this problem, we're given a ratio of y to x (1:6) when x is -264 and y is 44. This ratio implies that y is one-sixth of x. Utilizing this information, we can determine y for a different x value (-486). By maintaining the 1:6 ratio, we divide -486 by 6, resulting in -81. Therefore, when x is -486, y equals -81. This solution stems from understanding the proportional relationship between y and x, allowing us to calculate y for any given x value based on the established ratio. In this case, the ratio of 1:6 guides the computation, ensuring the accurate determination of y as -81 when x is -486.
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300 yards / 1 minute find unit rate feet per wonds
The number of boys in the chess club is 4 more than twice the number of girls.there are 38 boys in the chess club. How many girls are in the club?
Ivan is saving money to buy a game. so far he has saved $30 , which is two-thirds of the total cost of the game. how much does the game cost?
Answer:
45 :)
Step-by-step explanation:
How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?
7
4
5
6
the answer is 5
1: a^3
2: 3a^2b
3: 4ab
4: 11b
5: 7
anything seporated by a + or - is a term
Neil and Jean each choose a number at random from the set 1,2,3,4,5,6,7,9,10 their numbers are allowed to be the same. What is the probability that the product of those two numbers is even?
The probability that the product of the numbers selected by Neil and Jean is even is approximately 0.8889.
Explanation:To answer your question, let's first classify the numbers from the given set 1,2,3,4,5,6,7,9,10 into two categories: even numbers (2, 4, 6, 10) and odd numbers (1, 3, 5, 7, 9). Each of the people, Neil and Jean, can pick any number independently. Hence we have two scenarios which result in the product being even - either both pick even numbers or at least one of them picks even.
The probability of both picking an even number is (4/9)*(4/9) = 16/81. Also, there is no constraint on the second scenario, so, total probabilities = 1. Hence, the probability of at least one picking an even is 1 - probability(both picking odd) = 1 - (5/9)*(5/9) = 1 - 25/81 = 56/81.
Therefore, the total probability that the product of the numbers selected by Neil and Jean is even is the sum of the above two probabilities i.e., 16/81 + 56/81 = 72/81 = 0.8889 (approx).
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Simplify the expression. 23 · 16 + 24 ÷ 4
A. 80
B. 38
C. 134
38 is most likley the answer am i right?!
Final answer:
To simplify the expression 23 · 16 + 24 ÷ 4, we first perform the multiplication and division according to PEMDAS, resulting in 368 + 6, and then add those results to get the final answer, 374.
Explanation:
To simplify the expression 23 · 16 + 24 ÷ 4, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First calculate the multiplication: 23 × 16 = 368.
Then, the division: 24 ÷ 4 = 6.
Finally, add the two results together: 368 + 6 = 374.
Therefore, the simplified expression equals 374.
(−2+2i)⋅(5+5i)
Can you help me simplify
Please can you help me
Answer:
5 : 1
Step-by-step explanation:
From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:
15 : 3 = (15/3) : (3/3) = 5 : 1
Two ants walk on a line in a random fashion. they begin 10cm apart. at each time step, each ant has a probability of 1/2 to move 1cm to the left, and probability 1/2 to move 1cm to the right. what is the probability that after 7 time steps, the ants have met one another (i.e., passed through the same point)?
WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number
One out of two people entering the grocery store purchase soda. how many people out of 20 purchase soda?
i'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging
PLEASE ANSWER FAST!
Which statement best describes why the sale price is a function of the original price?
A:As the original price increases, the sale price also increases.
B:The sale price is always less than the original price.
C:For every original price, there is exactly one sale price.
D:The sales price is never less than zero.
Answer:
I think B,not sure
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right
Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for the party, what is the least number of packages of each you need to buy?
1 package of plates = 10 plates and 2 package of cups = 10 cups
so 3 packages is least amount
If a line is perpendicular to a line segment, what angle do they form at their intersection
Is it true that |3-8| and |3+8|
To determine if |3-8| is equal to |3+8|, we calculate the absolute values: |3-8|=5 and |3+8|=11. Since 5 is not equal to 11, the statement is false.
To solve the given problem, we need to understand the properties of absolute values. Absolute value measures the distance of a number from zero on the number line, regardless of direction.
First, calculate the absolute value of each expression: |3-8| and |3+8|.For |3-8|:3 - 8 = -5, and the absolute value of -5 is 5. Therefore, |3-8| = 5.
For |3+8|:3 + 8 = 11, and the absolute value of 11 is 11. Therefore, |3+8| = 11.
In conclusion, it is not true that |3-8| equals |3+8|, as |3-8| = 5 and |3+8| = 11.
here is the full question-Is it true that |3-8| and |3+8| are equal?
Please help me .......
Answer:
[tex]9b+10u > 1,000[/tex]
15 points!! The power P (measures in horsepower, hp) needed to propel a boat is directly proportional to the cube of the speed s. A 73-hp engine is needed to propel a certain boat at 10 knots. Find the power needed to drive the boat at 19 knots. (Round your answer to the nearest whole number.)
The commission of selling each iPhone is $30 and the commission of selling each iPad is $20. If you one day sold 4 more iPhones than iPads and earned a total commission of $520, how many iPhones and iPads did you sell respectively?
By solving the system of equations which includes the total commission and difference in quantity of iPhones and iPads sold, we determine that the salesperson sold 8 iPads and 12 iPhones.
The student is tasked with solving a system of linear equations to determine how many iPhones and iPads were sold based on the commission earned. Let's define the number of iPads sold as x and the number of iPhones as x + 4.
The total commission for iPhones is $30 per iPhone and the total commission for iPads is $20 per iPad. The total commission earned from selling these products is $520.
We can set up two equations based on the given information:
Commission from iPhones: 30(x + 4)
Commission from iPads: 20x
Total Commission: 30(x + 4) + 20x = 520
By solving the equation 30(x + 4) + 20x = 520, we find:
30x + 120 + 20x = 520
50x + 120 = 520
50x = 400
x = 8
So, the number of iPads sold is 8. Since the number of iPhones sold is 4 more than iPads, we have:
Number of iPhones sold = x + 4 = 8 + 4
Number of iPhones sold = 12
Therefore, the salesperson sold 8 iPads and 12 iPhones respectively.