[tex]\fbox{\textbf{288, 296, and 304}}
[/tex]
Step-by-step explanation:Let's assume the first multiple of 8 is x, then the second multiple is x+8, and the third multiple is x+16.According to the problem statement, the sum of these three multiples is 888:x + (x+8) + (x+16) = 888Simplifying the left side:3x + 24 = 888Subtracting 24 from both sides:3x = 864Dividing both sides by 3:x = 288Therefore, the first multiple of 8 is 288, the second is x+8 = 296, and the third is x+16 = 304.So, the three consecutive multiples of 8 that add up to 888 are 288, 296, and 304The items a to e that follow show the number of sides of a regular polygon. For each item, find the sum and the individual value of the interior angles.
a) 15 sides
b) 20 sides
c) 3 sides
d) 4 sides
e) 100 sides
For the polygon the individual value of the interior angles.
a) 15 sides is 145°
b) 20 sides is 108°
c) 3 sides is 60°
d) 4 sides is 90°
e) 100 sides is 18°
A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.
a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 2180 / 15 = 145 degrees per angle.
b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 2160 / 20 = 108 degrees per angle.
c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 180 / 3 = 60 degrees per angle.
d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 360 / 4 = 90 degrees per angle.
e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,
=> 1800 / 100 = 18 degrees per angle.
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Find x. Round your answer to the nearest tenth of a degree
tom works for a company
his normal rate of pay is £15 per hour
Answer:
£ 185
Step-by-step explanation:
Tama po yan promise
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.
The correct option is C. The IQR is the best measure of variability, and it equals 4.
What is IQR (interquartile range)?The IQR (interquartile range), a measure of variability that depicts the range of the middle 50% of the data, is used in box plots. It is determined as the gap between the first and third quartiles (Q1 and Q3) (Q1). Since the box in this instance spans the numbers 17 to 21 on the number line, Q1 equals 17 and Q3 equals 21. IQR = Q3 - Q1 = 21 - 17 = 4 as a result.
The difference between the dataset's maximum and minimum values is represented by the range, another measure of variability. As a result of its sensitivity to extreme values, it is less reliable than the IQR. Although the range in this instance is equal to 27 - 10 = 17, it could not correctly reflect the variety of the data.
Therefore, the IQR is the most appropriate measure of variability for this data, and its value is 4.
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Suppose a car moving in straight line steadly increases it's speed each seconds first from 35 to 45km/h then 40 to 45 km/h then from 45 to 50km/h, What is the acceleration?
The acceleration of the car is not constant but is increasing steadily, starting at 10 km/h, decreasing to 5 km/h, and then remaining constant at 5 km/h.
To find the acceleration of the car, we need to use the formula:
acceleration = (final velocity - initial velocity) / time
Let's calculate the acceleration for each interval of time:
For the first interval, the initial velocity is 35 km/h and the final velocity is 45 km/h. The question says the speed increases each second.
Therefore, the acceleration is:
acceleration = (45 - 35) / 1 = 10 km/h
For the second interval, the initial velocity is 40 km/h and the final velocity is 45 km/h. Again, the acceleration is:
acceleration = (45 - 40) / 1 = 5 km/h
For the third interval, the initial velocity is 45 km/h and the final velocity is 50 km/h. The acceleration is:
acceleration = (50 - 45) / 1 = 5 km/h
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MARKING BRAINLIEST! please help asap, show your work then choose the correct answer, thank you
Answer:
lower right option
Step-by-step explanation:
using the properties of logarithms
• loga + logb ⇔ log(ab)
• loga - logb ⇔ log ([tex]\frac{a}{b}[/tex] )
• log[tex]x^{n}[/tex] = nlogx
• lne = 1
given
a[tex]e^{bt}[/tex] = c ( take ln of both sides )
ln a[tex]e^{bt}[/tex] = lnc
lna + ln[tex]e^{bt}[/tex] = lnc
lna + bt lne = lnc ( subtract lna from both sides )
bt = lnc - lna
bt = ln ([tex]\frac{c}{a}[/tex] ) ← divide both sides by b
t = [tex]\frac{ln(\frac{c}{a}) }{b}[/tex]
Which statements are always true about a system of linear equations?
(more than one answer)
(1) the solution of a system of linear equations is any values of the variables that satisfy any of the equations.
(2) a system of linear equations has only two equations.
(3) on a graph, the solution of a system of equations is any point on one of the lines.
(4) on a graph, the solution of a system of equations is the point where the lines intersect.
(5) a system of linear equations includes at least two linear equations.
6) the solution of a system of linear equations is any values of the variables that satisfy both equations at the same time.
Answer:
(4) on a graph, the solution of a system of equations is the point where the lines intersect.
(5) a system of linear equations includes at least two linear equations.
(6) the solution of a system of linear equations is any values of the variables that satisfy both equations at the same time.
please answer this question
The domain of the relation include the following: A. {1, 2, 3, 6}.
How to determine of this relation?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain:
Domain = {1, 2, 3, 6}.
In conclusion, the domain of this relation are all the x-values (independent value) that are located on the x-axis of the graph, which include {1, 2, 3, 6}.
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6x3+5(6-4)³-7+4² I need help
Answer:
Answer: 67
18+5x2^3-7+16
18+5x8-7+16
18+40-7+16
67
A union is the graph of a compound inequality containing or, the solution is a solution of either inequality, but never both.
O True
O False
Answer:
True
Step-by-step explanation:
A union is the graph of a compound inequality that contains "or," meaning the solution is a solution of either inequality, but not necessarily both. The union represents all values that satisfy at least one of the inequalities in the compound inequality. The solution is shown as the shaded region on the graph that represents the union of the solutions of the individual inequalities.
A triangle has sides with lengths of 32 millimeters, 60 millimeters, and 64 millimeters. Is it a right triangle?
Answer:
Yes it is a right triangle
Step-by-step explanation:
These side lengths correspond to a Pythagorean triple, specifically 8-15-17, which is a set of three positive integers that satisfies the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, also known as the hypotenuse.
In this triangle, 32^2 + 60^2 = 8^2 + 15^2 = 17^2, which confirms that it is indeed a right triangle.
Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 204 square meters. Solve for the dimensions (length and width) of the field.
The dimensions of the field are length is 12 m and width is 17m or length is 17m and width is 17m.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that Julieta has 58 m of fencing to build a four-sided fence around a rectangular plot of land.
2(L+W)=58
2L+2W=58
Now area of the land is 204 square meters.
LW=204
L=204/W
Now plug in this L in above equation.
2(204/W)+2W=58
408/W+2W=58
2W²+408-58W=0
2(W²-29W+204)=0
(W-17)(W-12)=0
W=17
Now plug in W as 17 in L
L=204/17=12
Hence, the dimensions of the field are length is 12 m and width is 17m or length is 17m and width is 17m.
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PLEASE HELP!! im desperate A chef uses a bowl shaped like the one below to prepare her avocado lime sauce. Due to the amount of mixing involved in this recipe she does not want to fill the bowl up entirely to the top. She estimates she can only fill the bowl up to about 2/3 its capacity. What is the volume of contents the chef will be able to fill the bowl with using her estimation?
1429 cubic centimeters is the volume of contents the chef will be able to fill the bowl.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that Chef uses a bowl shape which has radius of 8cm to prepare her avocado lime sauce.
We have to find the volume of contents the chef will be able to fill the bowl with using her estimation upto 2/3.
Firstly let us find volume of bowl.
Volume=4/3πr³
=4/3×3.14×(8)³
=2143.5
To find the amount of contents the chef can fill the bowl with, we need to multiply this volume by 2/3,
So 2143.5×2/3
1429.04 cubic centimeters.
Hence, the chef will be able to fill the bowl with about 1429 cubic centimeters of avocado lime sauce.
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in the metric system each millimeter increment is equal to
In the Metric System , each millimeter increment is equal to the 1/10 or 0.1 of a centimeter .
The Metric System is defined as a standardized system of measurements which is used in many countries around the world.
In the Metric System, there are different units of length, which include millimeters (mm) and centimeters (cm).
we know that , 1 centimeter is equivalent to 10 millimeters. This means that each millimeter increment is equal to 0.1 of a centimeter.
For Example, if we measure a length of 50 millimeters, we can convert it to centimeters by dividing 50 by 10, which gives you a length of 5 centimeters.
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The given question is incomplete , the complete question is
In the metric system each millimeter increment is equal to ____ of a centimeter .
Carmen is a contestant on the kids' game show, Spend or Switch! When she makes it up on
stage, host Guy Granger takes out a stack of one hundred-dollar bills. He divides the bills
evenly among all 5 contestants on stage. Each contestant receives 4 one hundred-dollar bills.
Which equation can you use to find the number of bills b in Guy Granger's stack?
b-5=4
5b= 4
bills
5
= 4
b + 5 = 4
olve this equation for b to find the number of bills in Guy Granger's stack.
The equation we need to use to find the number of bills in Guy Granger's stack is 5b = 4, where b is the number of bills.
What is an Equation ?
An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
This equation represents the fact that each of the 5 contestants received 4 one hundred-dollar bills, so the total number of bills is
= 4 x 5
= 20
To solve for b, we need to divide both sides of the equation by 5:
5b / 5 = 4 / 5
b = 4 / 5
So, the number of bills in Guy Granger's stack is 4 / 5 * 100 = 80.
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The amount of corn exported by a country
increased exponentially each year between
2007 and 2016.
In 2012, the country exported 210,000 tonnes
of corn.
In 2016, the country exported 806,736 tonnes
of corn.
Work out how much corn the country exported
in 2007.
Give your answer to the nearest tonne.
PLEASE HELP ME THIS IS DUE TOMORROW AND I DONT WANT A DETENTION
Answer: corn 806,736
Step-by-step explanation:
What is the standard form for 9^2
Answer:
81
Step-by-step explanation:
7 x 5 im 8 in 4th grade
Answer:
35 :)
Step-by-step explanation:
Answer:
35
Step-by-step explanation:7x5=35
You need to know your multiples.
7, 14, 21, 28, 35, 42, 49, 56, and so on.......
27. Which situation can be correctly summarized by the equation, y = 5x + 15?
It is solving for, the elimination
The total number of 2 pointers was 4.
The total number of 3 pointers was 11
How to solve Simultaneous Linear Equations?Let the number of 2 pointers be x
Let the number of 3 pointers be y
Since the total points was 41, then we have;
2x + 3y = 41 -------(1)
Total basket was 15. Thus;
x + y = 15 --------(2)
Multiply eq 2 by 2 and eq 1 by 1 to get;
2x + 3y = 41 -------(3)
2x + 2y = 30 --------(4)
Subtract eq 4 from eq 3 to get;
y = 11
Thus;
x = 15 - 11
x = 4
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You toss two dimes 24 times and record the results. Use the table to find the experimental probability of tossing two tails.
Answer:
I cannot give you the answer because I need the table with the records.
Step-by-step explanation:
y> -2x - 3
Y <4/3x +3
The solution to the inequality is a coordinate of (-1.8, 0.6)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y> -2x - 3
Y <4/3x +3
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, the shaded area has a coordinate of (-1.8, 0.6)
Hence, the solution is (-1.8, 0.6)
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The following sample space could represent which reapeted expirement
S[WW,WL,LW,LL]
The given sample space could represent a win and loss game by flipping a coin twice, where win represent the outcome head and loss represent the outcome tail.
What is a Sample Space?A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.
The subset of the sample space are events.
Given sample space is S = {WW, WL, LW, LL}
This can be interpreted as the outcomes in a random experiment, which has only two possibilities, either win or loss.
Suppose that we flip a coin two times.
Possible outcomes are,
HH : head appears twice
HT : head appears at first and tail appears second
TH : tail appears first and then head appears
TT : tail appears twice
Let the outcome head represent the win and tail represent the loss.
Possible outcomes are then WW, WL, LW, LL.
Hence the given sample space can be a possible outcomes of flipping a coin twice.
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secx - 2 = 0
Please solve the problem and show the work.
Answer:
x = 60 degrees (if x < 90 degrees).
Step-by-step explanation:
secx - 2 = 0
secx = 2
Now sec x = 1/cos x
So,
1/cosx = 2
cos x = 1/2
x = 60 degrees.
Flagpole a and flagpole c are both casting a shadow that ends at point s.
The distance of (x) between the flagpole is 12 m.
The distance (y) from flagpole c to point s is 10 m.
The height of flagpole a is 4.4 m.
What is the height of flagpole c?
In linear equation, 60m is the height of flagpole c .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Height/ Shadow
Shadow of the pole = 12 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
12 m - 10 m = 2 m
Tim's height = 2 m
Hence:
x/12 = 2/10
Cross Multiply
2x = 12 × 10
x = 120/2
x = 60 m
Approximately = 60m
Hence, the height of the flagpole = 60m
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If a tap drips at 0.15 litres per second,how long will it take to drip 30 litres
Answer:
3 min 20 seconds
Step-by-step explanation:
30÷0.15= 200 seconds
= 3 min 20 seconds
Mrs. Cohen purchases a motorcycle for her son, jack for $12,000. The motorcycle depreciates at a rate of 21% per year. Determine the value of the motorcycle at the end of 5 years
Answer:
$3692
Step-by-step explanation:
100-21=79
=> 0.79
12000 × 0.79^5 = $3692
The base area of a rectangular tank is 300 cm square. The capacity of the tank is 6 litres. Peter fills the tank with water up to 4/5 of its height. What is the height of the water leve?
Answer: 1 liters = 1000 cm^36 liters = 6000 cm^3Height
Step-by-step explanation:
1 liters = 1000 cm^36 liters = 6000 cm^3Height
Una mujer de negocios desea invertir $30,000 en fondos diferentes que producen ganancias anuales del
13% y 15% respectivamente.
¿Cuánto debe invertir en cada fondo para obtener ganancias de $4,350 después de un año?
The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
We can use substitution or elimination method to solve when there are more than one equation.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's denote,
The amount invested in the 13% fund = x
The amount invested in the 15% fund = y.
Now,
The total amount invested = $30,000,
i.e
x + y = 30000 _____(1)
The total return after one year = $4,350.
Which can be expressed as,
0.13x + 0.15y = 4350 _____(2)
Use the substitution method.
From (1),
x + y = 30000
y = 30000 - x _____(3)
Substituting y in (2)
0.13x + 0.15(30000 - x) = 4350
Solving for x.
0.13x + 4500 - 0.15x = 4350
-0.02x = -150
x = 7500
And,
y = 30000 - x
y = 30000 - 7500
y = 22500
Thus,
The businesswoman must invest $7,500 in the 13% fund and $22,500 in the 15% fund to earn a return of $4,350 after one year.
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The complete question.
A businesswoman wants to invest $30,000 in different funds that produce annual returns of 13% and 15% respectively. How much must she invest in each fund to earn a return of $4,350 after one year?
Find the 8th term of the geometric sequence 10, -20, 40, ...
Answer:
-1280
Step-by-step explanation:
10×(-2)= -20
-20×(-2)= 40
4th term: 40×(-2)= -80
5th term: -80×(-2)= 160
6th term: 160×(-2)= -320
7th term: -320×(-2)= 640
8th term: 640×(-2)= -1280