The two combined geometric series is separated and the common ratios are shown
2, 4, 8, - common ratio = 25, 10, 20 - common ratio = 2What is geometric series?The total of a geometric sequence's finite or infinite terms is known as a geometric series.
The ratios of every two successive terms in the series (sum of terms) are equal. this means that
4/2 = 8/4 = 210/5 = 20/10 = 2The common ratio is calculated by dividing the succeeding term (eg 2nd term) by the preceding term (eg 1st term)
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please help 25 points
⇒ ∠AEC is the angle vertical opposite to ∠BEC
What is the correct answer
Answer:
given point is (-3,-2)
The rule for a rotation by 270° about the origin is (x,y)→(y,−x).
So,
(-3,-2)==============(-2,3).
there fore,
(-2,3) is the image point of (-3,-2)after the transformation r(x-axis) and rotation 270°.
Any confusion ask in CMT!!A special lottery is to be
held to select the student
風
who will live in the only
deluxe room in a
dormitory. There are 100 seniors, 150
juniors, and 200 sophomores who
applied. Each senior's name is placed in
the lottery 3 times; each junior's name, 2
times; and each sophomore's name, 1
time. What is the probability that a
senior's name will be chosen?
Pls help would really mean a lot
Answer:
Use AAA congurency rule
Step-by-step explanation:
1 angle=52
2 angle=58
3 angle=78
DONT IGNORE PLEASE HELP! Identify the correct diagram and formula to find the measure of an interior angle of hexagon.
The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.
What is a Polygon?In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.
Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.
Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.
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The sum of two numbers is 130 and their difference is 34 Let x be the first number and y be the second
number Set up a system of equations and use the elimination method to find the numbers. You must
show your work
10. A theater sold 800 tickets for Friday night's performance, One child ticket costs $4.50 and one adult
ticket costs $6.00. The total amount collected was $4.500. How many of each type of ticket were sold?
11. The postal service offers flat-rate shipping for priority mail in special boxes. Malia shipped 4 small
boxes and 2 medium boxes, which cost her $54 to ship. Meanwhile, Stephen shipped 1 small box and
2 medium boxes, and paid $33. How much does it cost to ship these two sizes of boxes?
Step-by-step explanation:
9)=
By the question:-
x + y = 130-i
x - y = 34-ii
Now,
Add i and ii,
x + y + x -y = 164
or, 2x = 164
so, x = 82
Now,
x -y = 34
or, 82 - y = 34
so, y = 48
The numbers are 82 and 48.
10) =
Let adults ticket be x and childs ticket be y.
x + y = 800
x = 800 - y - eqn i
4.5x + 6y = 4500
Substituting x's value from eqn i,
4.5(800-y) + 6y = 4500
or, 3600 - 4.5y + 6y = 4500
or, 1.5y = 900
so, y = 600
Now,
x + y = 800
or, x + 600 = 800
so, x = 200
Hence, 600 adult tickets were sold and 200 child tickets were sold.
11)=
Let cost of one small box be x and one medium box be y.
So,
4x + 2y = 54-eqn i
x + 2y = 33-eqn ii
subtracting eqn i from ii,
x + 2y - 4x - 2y = - 21
or, -3x = - 21
so, x = 7
Now,
x + 2y = 33
or, 2y = 33 - 7
or, y = 26/2
so, y = 13
So, cost of one small box is $7 and medium box is $13.
Schools A and B are competing in an academic contest. At the beginning of the final round, School A has 174 points and School B has 102 points. In the final round, correct answers earn 10 points and incorrect answers lose 6 points. School A gives the same number of correct and incorrect answers during the final round. School B gives no incorrect answers and the same number of correct answers as School A. The contest ends with a tie. Answer parts a and b.
Answer: C. 174 + 10x - 6x = 102 + 10x
Each school give 12 correct answers
Step-by-step explanation:
174 + 10x - 6x = 102 + 10x
x = number of correct answers AND,
x = number of incorrect answers
Solve for x:
174 - 102 = 10x + 6x -10x
72 = 6x
x = 12
Each school give 12 correct answers
A boy paid $11
for a bottle with a cork.
A bottle costs $10
more than a cork.
How much does a cork cost?
Step-by-step explanation:
A boy paid $11 for a bottle with a cork. A bottle costs $10 more than a cork. How much does a cork cost?
cork: c
bottle: 10c
c + 10c = 11
11c = 11
c = $1
A cork costs $1
A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage of people over speeding on this road on purpose is 9%
Find the percent of people speeding on this road who noticed the signPercentage of people who notice the speed limit at the beginning of the road = 84%Percentage of people who didn't notice the sign = 95%Percentage of people who notice the sign and follow the speed limit = 75%Percent of people speeding on this road noticed the sign = Percentage of people who notice the speed limit at the beginning of the road - Percentage of people who notice the sign and follow the speed limit
= 84% - 75%
= 9%
In conclusion, the percentage of people who intentionally speed on purpose is 9%
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The price of a sweater was reduced from $30 to $18. By what percentage was the price of the sweater reduced?
i need help
A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town. Which of the following is a correct pairing of possible null and alternative hypotheses for this experiment?
The possible pair of null and alternative hypotheses for this experiment is "The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.
The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases."
Hypotheses
Hypotheses refers the testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
Given,
A group of elementary school students designed a study to find a possible relationship between the number of students absent from school and the overall rate of flu infections in their town.
Here we need to find the correct pairing of possible null and alternative hypotheses for this experiment.
Here the given situation is relationship between the number of students absent from school and the overall rate of flu infections in their town.
So, the null hypotheses of this relation is flu infection rate has no impact on the number of students absent from school
And the alternative hypotheses of the relation is defines that the flu infection rate increases, the number of students absent from school also increases.
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Answer:
Step-by-step explanation:
The null hypothesis is that the flu infection rate has no impact on the number of students absent from school.
The alternative hypothesis is that as the flu infection rate increases, the number of students absent from school also increases.
How many numbers are there from 10 to 99 in which the difference between the largest digit and the smallest digit equals 4?
For example 15 and 51, where 5 – 1 = 4.
There are 9 numbers from the range with the difference of 4 in the digits
How to determine the frequency of the numbers with the properties?The properties of the numbers are given as
Difference: Largest - Smallest = 4
Range: 10 to 99
The numbers with above properties are as follows
15, 26, 37, 48, 59, 62, 73, 84 and 95
When these numbers are counted, we have
Frequency = 9
This means that there are 9 of such numbers from 10 to 99
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What is the solution of the following system?
Use the substitution method.
y+7=3x
6x - 2y = 12
O The only solution is (14, 12).
O The only solution is (12, 14).
O There is no solution.
O There are an infinite number of solutions.
The solution of the system equation is C) There is no solution
What is system equation?
A set of one or more equations comprising numerous variables is referred to as a system of equations. The variable mappings that satisfy all of the component equations in a system of equations, or the points where the components of this system of equations intersect, are the solutions to that system. A system of equations in algebra is made up of two or more equations that are solved together. the process of eliminating, substituting, and graphing solutions to a system of equations or inequalities in two variables
Here the given equations are ,
=> y+7=3x-------> 1
=> y = 3x-7 ------> 2
and 6x-2y =12------> 3
Now put value of 2 into 3 then,
=> 6x-2(3x-7)=12
=> 6x-6x+14=12
=>14=12
The statement is false for any real number.
Therefore the correct option for the given system equation is C) There is no solution.
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help help help
like factoring it
[tex]\frac{1}{3}b-\frac{1}{3}$[/tex]
The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1).
What is an algebraic factor?An algebraic factor is the multiplication of two algebraic terms.
That term could be in form of summation multiplication or in subtraction.
The root of the quadratic equation formed by the algebraic factor is always real.
As per the given polygon,(1/3)b - 1/3
Take 1/3 as common in the whole polygon,
1/3(b - 1).
Since the terms 1/3 and (b - 1) both are in the multiplication of each other.
Hence "The factoring is the representation of a polynomial in multiplication term thus the factoring of (1/3)b - 1/3 will be 1/3(b - 1)".
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Solve the equation for y in terms of x
8x=1-3y
enclose numerator and denominators in parentheses
The value of y in the equation in term of x is y= (1-8x)/(3)
What are algebraic equations?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.
The value of y can there be solved by firstly making 3y the subject of formula
3y= 1-8x
dividing both sides by 3
3y/3= (1-8x)/3
therefore y= (1-8x)/(3)
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the given inequality -3(2x - 5) < 5(2 - x) include the following:
-6x + 15 < 10 - 5xAn open circle is at 5 and a bold line starts at 5 and is pointing to the right.What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numbers and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Greater than or equal to (≥).Less than (<).Less than or equal to (≤).For this exercise, we would evaluate and simplify the given inequality so as to enable use determine its solution as follows:
-3(2x - 5) < 5(2 - x)
Opening the bracket, we have:
-6x + 15 < 10 - 5x (correct representation)
Rearranging the algebraic equation by collecting terms, we have:
-6x + 5x < 10 - 15
-x > -5
x > 5 (correct representation)
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4.
Consider the following diagram:
What is the value of m?
56°
m
68°
According to the solving the Angle m = 124
What is the name for a straight angle?An angle with something like a vertex point at 180 degrees is considered to be a straight angle in geometry. Basically, it produces a straight line with sides that are turned away from the vertex. "Flat angles" is another term for it.
How do you see a straight angle?A straight line appears to have a straight angle. Here's an illustration of a straight angle. a straight line that has a half circle in the middle and at the top to symbolize a straight angle.
According to the given data:The sum of all angles in triangle = 180.
Angle A = 56
Angle B = 68
Angle C =
A + B + C = 180
56 + 68 + C = 180
124 + C = 180
C = 180 - 124
C = 56
if Angle C = 56
so we know the property of straight angle:
= Angle m + 56 = 180
Angle m = 180 - 56
Angle m = 124
According to the solving the Angle m = 124
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Which ratio is equivalent to 9 : 180?
Answer:
18:360 is the correct answer
The flower box is 5 ft long, and its ends are in the shape of a trapezoid. The upper and lower bases of the trapezoid measure 18 in. and 10 in., respectively, and the height is 9 in. Find the volume of the flower box.
The volume of the flower box is 7560 cubic inches
How to determine the volume of the box?The given parameters in the question are:
Length = 5 ft
Upper and lower bases = 18 inches and 10 inches
Height = 9 inches
The volume of the box can be calculated using the following volume equation
Volume = 0.5 * Height * Length * (Sum of the bases)
Substitute the known values in the above equation So, we have the following equation
Volume = 0.5 * 9 inches * 5 feet * (18 inches + 10 inches)
Convert feet to inches
Volume = 0.5 * 9 inches * 60 inches * (18 inches + 10 inches)
Evaluate
Volume = 7560 cubic inches
Hence, the volume is 7560 cubic inches
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Dr. Ortega gave Austin, one of her patients, 180 micrograms of medication. Based on Austin's height and weight, she expects that there will be about 162 micrograms remaining in his body after one hour. Dr. Ortega knows that the amount of medication remaining in Austin's body will continue to decrease each hour.
Write an exponential equation in the form y=a(b)x that can model the amount of medication in Austin's body, y, x hours after the medicine was administered.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
To the nearest microgram, how much of the medication can Dr. Ortega expect to remain in Austin's body after 6 hours?
micrograms
The exponential function that can model the amount of medication in Austin's body, y, x hours is of: [tex]y = 180(0.9)^x[/tex]
What is the exponential function?The definition of the exponential function is presented as follows:
[tex]y = a(b)^x[/tex]
The parameters a and b are listed as follows:
a is the amount when x = 0.
b is the rate of change.
Given that the initial dose was of 180 micrograms, hence the parameter a is;
a = 180.
After one hour, the concentration was of 162 micrograms, hence the parameter b is;
b = 162/180 = 0.9.
Hence the equation is:
[tex]y = 180(0.9)^x[/tex]
After six hours, the concentration is given as;
[tex]y = 180(0.9)^6[/tex]= 96 micrograms.
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A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the
Mediterranean Paradise. The Caribbean Paradise has 23 more deluxe staterooms than the Pacific Paradise. The
Mediterranean Paradise has 30 fewer deluxe staterooms than three times the number of deluxe staterooms on the
Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms
for the three ships is 518.
Answer:
Mediterranean Paradise has 30 fewer deluxe staterooms than three times the number of deluxe staterooms on the
Pacific Paradise.
Step-by-step explanation:
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Step-by-step explanation:
i marked where to put them
Johnny recently hired a cleaning company to clean his home. The cleaning company charges
a service fee of $46 and $12 for each cleaning visit. Johnny has a monthly cleaning budget of
$130. How many cleaning visits can Johnny afford? answer?
efetue as adições 3/4 + 1/2
A chess board is made using the ratio of square length to king's height, 1.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
0.75 inch
1.5 inches
2.25 inches
6.75 inches
The length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, a chessboard is made using the ratio of square length to the king's height, 1.5 inches to 4.5 inches. If a chessboard is made with a king's height of 2.25 inches.
The square length will be calculated as,
Square length / Kings Height = 1.5 / 4.5
Square length = (King's height x 1.5 ) / 4.5
Square length = ( 1.5 x 2.25 ) / 4.5
Square length = 0.75 inches
Therefore, the length of the square for the 2.25 inches King's height will be 0.75. The correct option is A.
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The function C(x)=−21x+2025 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $24?
The least number of items that can be produced so that the average cost is no more than $24 is 95.
According to the question,
We have the following information:
The function C(x)=−21x+2025 represents the cost to produce x items.
Cost should be no more than $24.
So, we have the following inequality to find the number of items:
-21x+2025 ≤24
Subtracting 2025 from both sides:
-21x≤24-2025
-21x ≤ -2001
Dividing both sides by -21:
x ≤ 2001/21
x ≤95.28
Hence, the least number of items that can be produced so that the average cost is no more than $24 is 95.
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Is f = 9 a solution to this equation?
4f = 36
Yes or no
75% of what amount is $337.50?
Answer:
450
Step-by-step explanation:
You can easily calculate 337.5 is 75 percent of what number by using any regular calculator, simply enter 337.5 × 100 ÷ 75 and you will get your answer which is 450
Jamal has 54 marbles.
Lucas has 70 marbles.
How many more marbles
does Lucas have than
Jamal?
Answer: 16
Step-by-step explanation:
