Answer:
1240 students
Step-by-step explanation:
ratio of boys : girls = 11 : 9 = 11x : 9x ( x is a multiplier ) , then
11x = 9x + 124 ( subtract 9x from both sides )
2x = 124 ( divide both sides by 2 )
x = 62
total students = 11x + 9x = 20x = 20 × 62 = 1240
What is the value of x in the right triangle?
90
26
10
37
O 127
O 90
O 53
Solve the triangle for side z
Answer:
D. 4
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
assign sum extra with the total extra credit received given list test grades. full credit is 100, so anything over 100 is extra credit.
To assign the sum of extra credit received to the total extra credit, you need to follow these steps:
1. Make a list of all the test grades, and mark the ones that have extra credit with a "+" sign. For example, if the test scores are: 95, 110+, 80, 120+, 100, you would mark the 110+ and the 120+.
2. Add up all the extra credit marks. In this example, that would be 110 + 120 = 230.
3. Count the number of extra credit marks. In this example, there are two.
4. Multiply the number of extra credit marks by the maximum extra credit value. If full credit is 100, then the maximum extra credit value is the amount that a student can exceed the maximum score by. In this case, that would be 20 (since 120 - 100 = 20). So, 2 x 20 = 40.
5. Add the extra credit value to the total score. In this example, the total score is 505 (95 + 110 + 80 + 120 + 100). So, you would add 40 to that to get 545.
Therefore, the answer is: To assign sum extra with the total extra credit received given list test grades, you need to add the extra credit value to the total score by multiplying the number of extra credit marks by the maximum extra credit value, and then adding that value to the total score.
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Manuel is riding his bike. The graph represents the distance Manuel travels from his house over time.
Describe what is happening as depicted in the graph.
Observing the nature of the graph and the pattern it develops relating time and distance covered by Manuel, The graph explains the nature of distance covered in bike with respect to time.
What is a graph?A representation of the relationship between two variables, often measured along one of two right-angled axes each.
What are different types of graphs?Different types of graphs are:
Statistical Graphs.Exponential Graphs.Logarithmic Graphs.Trigonometric Graphs.Frequency Distribution Graph.Manuel drives away from house for 2 units of time and stayed at a place for another 2 units of time. He start to bike towards the house for 2 units of time and again started to travel away for a single unit of time. He stayed at a place for 2 unit of time and bike back to the house in 5 units of time.
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pls help, i need the answer by tonight!!
Answer:
Step-by-step explanation:
let distance=d
d²=4²+(2+4)²=16+36=52=4×13
d=2√13
find the area of the triangle determined by the points
The area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.
To find the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9), we can follow these steps:
1. Calculate the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively.
2. Find the cross product of PQ and PR.
3. Calculate the magnitude of the cross product.
4. Divide the magnitude by 2 to find the area of the triangle.
Step 1: Calculate PQ and PR
PQ = Q - P = (-4 - 1, -3 - 1, -6 - 1) = (-5, -4, -7)
PR = R - P = (6 - 1, 10 - 1, -9 - 1) = (5, 9, -10)
Step 2: Find the cross product of PQ and PR
PQ x PR = ( (-4 * -10) - (-7 * 9), (-7 * 5) - (-10 * -5), (-5 * 9) - (-4 * 5) ) = ( 36 + 63, 35 - 50, -45 + 20 ) = (99, -15, -25)
Step 3: Calculate the magnitude of the cross product
|PQ x PR| = √( (99)² + (-15)² + (-25)² ) = √( 9801 + 225 + 625 ) = √(10651)
Step 4: Divide the magnitude by 2 to find the area of the triangle
Area = 0.5 * |PQ x PR| = 0.5 * √(10651) ≈ 51.61
So, the area of the triangle determined by the points P(1, 1, 1), Q(-4, -3, -6), and R(6, 10, -9) is approximately 51.61 square units.
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Complete question is below
Find the area of the triangle determined by the points p(1, 1, 1), q(-4, -3, -6), and r(6, 10, -9)
Solve for y.
3(y − 8) + 2 = 8
y =
Answer:
y = 10
Step-by-step explanation:
3(y − 8) + 2 = 8
3y - 24 + 2 = 8
3y - 22 = 8
3y = 8 + 22
3y = 30
y = 10
To produce function g, function f was reflected over the x-axis and. Function g is defined as.
To produce g, function was reflected over the x-axis and | shifted up 3 units . Function g can be defined as g(x)=f(x-1)+4.
What is axis ?
An axis is a straight line around which an object or a geometric shape can rotate or be symmetrical. In a coordinate system, an axis is a line that serves as a reference for the location of points in space.
When a function f(x) is reflected over the x-axis, it changes the sign of the y-coordinate values. By reflecting the graph of f(x) over the x-axis, the new function g(x) will have the same shape as f(x) but with all y-coordinate values inverted.
Additionally, by shifting the function up 3 units, it means that the y-coordinate values of the new function g(x) will be 3 units greater than the y-coordinate values of the original function f(x).
So the transformation can be represented as:
g(x) = f(x-1) + 4
It is the horizontal shift of 1 unit to the right, and a vertical shift of 3 units up
To produce g, function was reflected over the x-axis and | shifted up 3 units . Function g can be defined as g(x)=f(x-1)+4.
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Study Guide:
Assuming its assumptions are met, what does the Intermediate Value Theorem conclude?
The Intermediate Value Theorem concludes that for a continuous function on a closed interval, if there are two points in the interval such that the function takes on two different values, then there must be at least one point in the interval where the function takes on every value between those two values.
Assuming its assumptions are met, the Intermediate Value Theorem (IVT) concludes that:
If a continuous function, f(x), is defined on a closed interval [a, b], and k is any value between f(a) and f(b), then there exists at least one value c in the interval (a, b) such that f(c) = k.
In other words, if a function is continuous on a closed interval and k is a value between the function's values at the endpoints of the interval, the function must take on the value k at least once within that interval. This theorem is particularly useful in determining the existence of roots or zeroes for a function in a specified interval.
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how to do this question plz
Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj
A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours there are 10,000 bacteria. At the end of 5 hours there are How many bacteria were present initially?
There were 3,200 bacteria present.
A colony of bacteria grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours, there are 10,000 bacteria. At the end of 5 hours, there are 62,500 bacteria.
The exponential growth of a population of bacteria is given by the formula:N = Noert,
where N is the final population size, No is the initial population size, r is the growth rate, and t is the time in hours.
The growth rate : r = (ln N - ln No) / t
Using the given data, we can write two equations in two unknowns (No and r):10,000 = Noer3100 = Noer5
Dividing the second equation by the first equation gives: 100/62.5 = e^(r*2)
Taking the natural logarithm of both sides gives:ln(100/62.5) = r*2r = ln(100/62.5) / 2r = 0.0995
Using the growth rate r, we can solve for the initial population No using either of the two original equations:No = 10,000 / e^(r*3)No = 10,000 / e^(0.0995*3)No = 3,200 bacteria
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!!!!! Answer fast will give 20 points and Brainlest!!!
Which algebraic expression represents the sum of a number and 9"?
Answer:
n + 9
Step-by-step explanation:
I pretty sure
Answer:
option b = n + 9 is the answer.
hope this answer will help you
have a great time
Superstar Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Pamela purchases 4 Mighty Mare toy ponies to add to her collection, each at $3 less than its full price. Pamela pays a total of $52.
Which equation can you use to find the amount of money, x, each Mighty Mare toy pony costs at full price?
Let x be the full price of each Mighty Mare toy pony.
During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:
x - $3
Since she bought 4 of these toys, her total cost during the sale was:
4(x - $3)
We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:
4(x - $3) = $52
Simplifying this equation, we get:
4x - $12 = $52
Adding $12 to both sides, we get:
4x = $64
Dividing both sides by 4, we get:
x = $16
Therefore, each Mighty Mare toy pony costs $16 at full price.
Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.
To find the equation that represents this situation, we can set up the equation based on the given information:
4 * (x - 3) = 52
In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.
By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.
How do I improve in dancing? I want to be a background dancer!
Answer: To improve your dancing, you could watch some dance tutorials, or play the game, Just Dance.
Step-by-step explanation:
Simply the expression (4x-3)(x+5)
Answer:
Step-by-step explanation:
We can use FOIL (front outer inner last)
First terms 4x * x = 4x^2
Outer terms 4x * 5 = 20x
Inner terms -3 * x = -3x
Last terms -3 * 5 = -15
we put all of these together
4x^2 + 20x - 3x - 15, which simplifies to
4x^2 + 17x - 15
The simplified expression is 4x^2 + 17x - 15
To simplify the expression: (4x-3)(x+5)
we can use the distributive property.
Multiplying each term in the first binomial (4x-3) by each term in the second binomial (x+5), we get
4x^2 + 20x - 3x - 15.
Combining like terms, we simplify further to obtain
4x^2 + 17x - 15.
Thus, the simplified expression is 4x^2 + 17x - 15,
which is the result of multiplying (4x-3) and (x+5) together using the distributive property.
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How can you apply it triangle congruence to real life situation?
Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.
The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.
Congruence :
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
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HELP pls will mark you the brainliest
From the given graph solution of lines is (32, 5).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
In the give graph two lines intersect at (32, 6).
Here, 32 represents the number of kites and 6 represents the total cost.
Therefore, from the given graph solution of lines is (32, 5).
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HELP PLEASE <3
A linear function contains the following points.
ху
07
4 -13
What are the slope and y-intercept of this function?
O A. The slope is -
The y-intercept is (0,7).
O B. The slope is -5.
The y-intercept is (7,0).
C. The slope is -5.
The y-intercept is (0,7).
D. The slope is 5.
The y-intercept is (0,7).
Answer: c
Step-by-step explanation: i just took the quiz :)
1. which one of the following statements is true? a. chance behavior is unpredictable in the long run but has a predictable pattern in the short run. b. the probability that an event does not occur is equal to 1 minus the probability the event does occur. c. probabilities can sometimes be larger than 1. d. an event that rarely ever occurs will have a negative probability. e. if there are only two possible outcomes of a random phenomenon, each outcome must have a probability exactly equal to 0.50.
One of the following statements that is true is the probability that an event does not occur is equal to 1 minus the probability the event does occur (Option B)
What is probability?Probability is a mathematical concept that attempts to quantify randomness.
A probability is a number between 0 and 1 that quantifies the likelihood of a certain event or set of events occurring.
What is the formula for calculating the probability of an event occurring?The probability of an event happening is determined by dividing the number of ways the event can happen by the total number of outcomes possible.
What does the probability of an event not happening equal to?The probability that an event does not occur is equal to 1 minus the probability the event does occur.
Therefore, option B is the only correct answer from the five statements given.
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What is negative 7 minus 9 equal to
-16
if there is 2 same numbers like -9 x -4 then your answer will be a positive if your numbers are different like -5 x 9 then your answer should be negative
so -7 - 9 = - put ur negative sign and now pus 7and 9 = 16 so you get -16
Please help now
Joy buys a shirt using a coupon for 75% off one item. She pays only $15.00 for a shirt. How much
did the shirt cost originally?
Answer:
$60.00
Step-by-step explanation:
15 is 25% of a number. 25 times 4 equals 100. so 15 times four is 60, making 60 the 100%
Work Shown:
x = original price
75% of x = 0.75x = amount saved
x - 0.75x = 0.25x = final price after discount = 15
0.25x = 15
x = 15/0.25
x = 60
What is the solution to the equation below?
5(6 + x) = 15
A.
3
B.
-1.33
C.
-3
D.
1.33
Answer:
- 3
option c). is correct!
Step-by-step explanation:
Given :
5 ( 6 + x ) = 15
= > 30 + 5 x = 15
= > 5 x = - 30 + 15
= > 5 x = - 15
= > x = - 15 / 3
= > x = - 3
Therefore, final answer is - 3
Answer:
C. -3
Step-By-Step Explanation:
5(6+3) = 45
5(6+-1.33) = 23.35
5(6+-3) = 15
5(6+1.33) = 36.65
the hypotenuse of a right triangle is 29, and the legs are consecutive numbers, what is the sum of the legs
The sides are 20 and 21 in right triangle.
What defines a right triangle?
The term "right triangle" refers to a triangle with an interior angle of 90 degrees.
The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
29² = x² + (x+1)²
x²+ x² +2x +1 = 841
2x² +2x -840 =0
x² + x -420 =0
(x+21)(x-20)=0
x=20
the sides are 20 and 21
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PLEASE HELP IT WORTH 50 points!!!!!
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
Hi, What is 9% of 465?
(60 points)--------------------
Answer:
2 and 3 dear friend
Step-by-step explanation:
Answer:
be more clear pls- is it multiple choice orrr? that's all I need to know to answer it.
Step-by-step explanation:
What is X?
A) 42
B) 44
C) 47
D) 48
Answer:
A)42
Step-by-step explanation:
first you cross multiply then you pay attention in class.
Which set of numbers contain square root of 25/16
The square root of 25/16 = 1.20, and the set of numbers that contain the square root of 25/16 are 1 < x < 2.
What is square root of a number?Any integer's square root equals that same number, which, when squared, yields the original number.
Let's assume that m is a positive integer, and that √m.m = m.
A square root function is a one-to-one function in mathematics that receives a positive integer as an input and outputs the square root of that number.
Given that the number is 25/16.
Taking the square root of the individual values, that is numerator and denominator we have:
√25 / √16 = 5/4 = 1.20
Hence, the square root of 25/16 = 1.20, and the set of numbers that contain the square root of 25/16 are 1 < x < 2.
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Be a kind soul and help me out please
well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".
so f(-1) => -2(-1) + 1 => 3.
Answer:3
Step-by-step explanation:
In this case x=-1 so you will use the top equation because x<1
so f(-1) = -2(-1) + 1
= 2+1
=3
-1/3 x 3/5 simplest form in details too with how you got it my answer was -1/5 after dividing-3/15
-1/3 × 3/5
= -1 × 3/ 3 × 5
= -3/15
= -1/5 (divide the fraction by 3 to convert it to the simplest form.)
Hope it helps!
RainbowSalt2222
_______
Comment if you still have doubts.