Harry had 3 packages of gum. Altogether there were
24 pieces of gum. If all packages have the same
number of sticks of gum, how many sticks of gum are
on each package?
Answers
Given,
Number of pieces = 24
Number of packages = 3
Each package has the same number of pieces.
So,
Number of pieces in 1 package
= Number of pieces / Number of packages
= 24 / 3
= 8
Related Questions
Ryan is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 rpm, find the angular speed in radians per second in which he is traveling.
Answers
The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.
What is the relation of speed and distance?
Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance / time.
Given that;
The diameter of bicycle wheel= 28inches
Rpm of wheel = 130rpm
Now,
Angular speed ω = 2pi*N/60 radian per second.
=2*pi*130/60
=260pi/60
=4.3pi radian per second
Speed of bicycle V = r*ω
V=14*4.3pi
V=60.2pi inch/sec
Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.
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A rectangular tank measuring 40 cm long, 30 cm wide and 35 cm high was filled with water to a hight of 15 cm. 4800 cm3 of water were poured into water. find the new height of water
answer ASAP
Answers
The volume of the rectangular tank is:
V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³
The initial volume of water in the tank is:
V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³
When 4800 cm³ of water is poured into the tank, the new volume of water becomes:
V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³
Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:
V = l × w × h2
h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm
Therefore, the new height of the water in the tank is approximately 19.83 cm.
Consider △RST and △RYX. If the triangles are similar, which must be true? A. RY/YS=RX/XT=XY/TS B.RY/RS=RX/RT=XY/TS C.RY/RS=RX/RT=RS/RY D.RY/RX=RS/RT=XY/TS
Answers
Answer:
B.RY/RS=RX/RT=XY/TS
Step-by-step explanation:
If Triangles RST and RYX are similar, then the ratio of their corresponding sides is:
\(\dfrac{RS}{RY}= \dfrac{ST}{YX}=\dfrac{RT}{RX}\\$This could also be written by switching the numerator and denominators as:\\\dfrac{RY}{RS}= \dfrac{XY}{TS}=\dfrac{RX}{RT}\)
Out of the given options, Option B is true.
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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please help
please hury
Answers
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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In general, how are the measures of central tendency and variability used to analyze a data distribution
Answers
Answer:
Central tendencies and variability are generally used to represent or describe/summarize a large data set into a single data
Step-by-step explanation:
Central tendency is the measurement used to determine the probability of a set of variables/dataset to cluster around their mean, mode, and median values.
Central tendencies and variability are generally used to represent or describe/summarize a large random data set into a single data. examples of variabilities are : variance, range and standard deviation.
please I need help on question 8
Answers
Answer:
BM = 20m
YZ = 13m
m∠B = 39
m∠M = 34
m∠Y = 107
Step-by-step explanation:
CM = 16m
BM = 20m
YZ = 13m
m∠B = 39
m∠M = 34
m∠Y = 107
May I please have a brainliest? Thank you!
Find the area of the shaded part of the figure if a=7, b=10,c=3
Answers
=10*3+（（10*7）/2）
=65（a)
The total area of the composite figure that has a triangle and a rectangle is; A: 65
How to find the area of a composite Figure?From the figure given, we see a rectangle and a triangle that makes up the composite figure.
Area of Triangle = 1/2 * base * height
Area of triangle = 1/2 * 10 * 7 = 35 sq.units
Area of rectangle = 10 * 3 = 30 sq.units
Total area of composite figure = 35 + 30
Total Area of composite Figure = 65 sq. units
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a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
Answers
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answers
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
f(x)= 3x+10 and g(x)= 3x-7
Answers
Answer:
1. x=-10/3
2. x=7/3
Step-by-step explanation:
plsssssssss mark me brainliest I need one more
a linear equation is an equation whose graph is a straight lina
Answers
The statement that a linear equation is an equation whose graph is a straight line is True.
What is a linear equation?A linear equation can be defined as an algebraic equation with each term having an exponent and the graphing of the equation results in a straight line.
From the definition, it can be deduced that the statement is True.
Thus, the statement that a linear equation is an equation whose graph is a straight line is True.
The complete question is:
True or false
A linear equation is an equation whose graph is a straight line.
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In 2005, the price of a guitar was $246. By 2008, the price had increased to $300. Assuming that the guitar's price increases linearly. What is the price of the guitar by 2011?
Answers
Considering the expression of a line, the price of the guitar in 2011 is $354.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.
Equation in this caseBeing:
Price= m× Year + b(x₁, y₁)= (2005, 246)(x₂, y₂)= (2008, 300)the slope can be calculated as:
m= (300 - 246)÷ (2008 - 2005)
m= 54÷ 3
m= 18
Considering point 2 and the slope m, you obtain:
300= 18×2008 + b
300= 36,144 + b
300- 36,144 = b
-35,844 = b
Finally, the equation of the line is Price= 18×Year - 35,844
Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:
Price= 18×2011 - 35,844
Solving:
Price= 36,198- 35,844
Price= 354
In summary, the price of the guitar by 2011 is $354.
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Explain with steps please and thank you! :)
Answers
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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The ratio of vowels to consonants in a word is 5 to 7. Are there more vowels or consonants in the word?
Answers
Answer:
ratio is 5-7
Step-by-step explanation:
have a nice day.
The perimeter and area of a rectangle are 22 cm
and 30 cm² respectively. Find the length and
breadth of the rectangle
Answers
The perimeter and area of a rectangle are (5,6) and (6,5).
The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.
A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.
The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.
The perimeter of the rectangle:
P=2l+2w=22
divide 2 into both sides
l+w=11 -------------> (1)
w=11-l
Area of the rectangle:
l*w=30
l(11-l)=30
11l-l^2-30=0
l^2-11l+30=0
By factor method,
(l-5)(l-6)=0
l=5,6.
Substitute this value in w,
l=5 implies w=6
l=6 implies w=5
There we have two solutions.
The length and breadth of the rectangle is
(5,6) and (6,5).
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NEED HELP NOW WILL MARK BRANLIEST
Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity (10 points)
Answers
Answer:
50Step-by-step explanation:
Quantity 3 plus the square root of negative 16 end quantity:
3 + √-16Quantity 6 minus the square root of negative 64 end quantity:
6 - √-64Multiply the two above:
(3 + √-16)(6 - √-64) = (3 + 4√-1)(6 - 8√-1) = (3 + 4i)(6 - 8i) = 3*6 - 3*8i + 6*4i - 4i*8i = 18 - 24i + 24i - 32i² = 18 - 32(-1) = 18 + 32 = 50When taking an exam, some students quickly answer all the questions they know how to do. If they go back and revise their answers, they start second guessing themselves and end up changing their choice from the correct answer to an incorrect one. Other students work through the exam very slowly - they think things very thoroughly, revise their answers several times, and carefully make sure they have not missed anything. In a class where we have both these types of students together, the correlation between the amount of time spent on an exam and their grade should be: _____________
a. Positive and fairly strong
b. Negative and fairly strong
c. Fairly weak
Answers
Answer:
c. Fairly weak
Step-by-step explanation:
From the given question:
We can deduce that the correlation between those two criteria is fairly weak. This is because the first set of students who initially answered the question started second-guessing themselves, making them unsure about their decision when picking the right answers. They eventually ended up choosing the wrong answers when changing it.
Negative and fairly strong correlation exist between the amount of time spent on an exam and their grade.
What is negative correlation?Negative correlation occurs between two variables in which as one variable increases the other decreases.
The first group finished very fast but recheck and picked wrong answer, although they were fast but they eventually had a wrong answer this is a negative correlation.The second group worked slowly and ended up getting good mark this is a Fairly strong correction because there is a result for the time used.Therefore, negative and fairly strong exist between time of exam and their grade.
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6. Nancy deposits $1,200 into an account that pays 1.7% interest,
compounded
monthly. What is her ending balance after 1 year? Round to the nearest cent.
A. $1220.56
B. $1420.65
C. $1350.75
D. $1250.35
Answers
Based on the amount deposited by Nancy into the account and the interest it paid, the ending balance after 1 year is $1,220.40
How to find the ending balance?The ending balance of the amount that Nancy deposited which was $1,200 is based on the interest compounded on the amount over the investment year.
The ending balance can be found as:
= Amount deposited x ( 1 + rate) ^ number of years
Solving for the ending balance gives:
= 1,200 x (1 + 1.7%) ^ 1
= 1,200 x 1.017
= $1,220.40
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A bag of chips costs 59 cents. You need to buy seven bags. Approximately how much will that cost?
Answers
Answer:
it'll cost about $4.13
Step-by-step explanation:
Gretta is saving for retirement. She deposits $125 each month at 6% annual interest for 35 years. According to her calculations, at the end of 35 years, she should have $178,088.79 in her account. How much of this did Gretta contribute and how much of this is interest?
Answers
Answer:
Gretta's Contribution = $52,500
Interest = $125,588.79
Step-by-step explanation:
Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).
125 x 12 x 35 = $52,500
Therefore, over the 35 years, Gretta contributed $52,500.
If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.
$178,088.79 − $52,500 = $125,588.79
There was $125,588.79 in interest earned on Gretta's account.
Between 6pm and 7pm, 5 mystery novels, 3 non-fiction books, 7 picture books, and 2 science fiction novels were returned to the library. What is the experimental probability that the next book returned to the library is a picture book?
Answers
Linear equation that passes through the points of (1,4) and (6,-1)
Answers
Answer:
y = -x+5
Step-by-step explanation:
Use point slope formula to find the equation of the line
First find the slope: (-1-4)/(6-1) = -5/5, slope = -1
Then, use the formula: y - y1 = m(x - x1)
y - 4 = -1(x - 1)
y - 4 = -x+1
y = -x + 5
kevin and joe each manage a shop that sells CDs. Kevin’s shop is in the high street and Joes is in the rentail park.
Answers
Answer:
Number of CDs sold each day Frequency
0 – 10 10
11 – 20 34
21 – 30 24
31 – 40 13
41 – 50 7
51 – 60 12
I need help with this!
Answers
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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The Tennessee Titans scored 22 points in week 5 and 35 points in week 6. Find the percent of increase.
Answers
Answer:
59.09%
Step-by-step explanation:
35-22=13
13/2= .59090909=59.09%
If cost is represented by C(x)=2.2x+4,000 and revenues are represented by R(x)=9.4x, which equation could be used to find the break-even point?
9.4x=4,000
10.6x=−4,000
7.2x=−4,000
10.6x=4,000
7.2x=4,000
Answers
Answer: 7.2x = 4,000.
Step-by-step explanation:
If cost is represented by C(x) = 2.2x + 4,000 and revenues are represented by R(x) = 9.4x, the break-even point occurs when the cost equals the revenue, or C(x) = R(x). We can substitute the given equations into this expression and solve for x:
2.2x + 4,000 = 9.4x
7.2x = 4,000
x = 4,000 / 7.2
Therefore, the equation that could be used to find the break-even point is 7.2x = 4,000.
Hellppp please!!! Find the area of the shaded region
Answers
Answer:
1600-400pi
Step-by-step explanation:
There are 2 semicircles making it a full circle. We are doing (40*40)-the area of the circle. We do 20*20 since that it is the radius and get 400. We then multiply it by pi. We get 400pi. Now we find the area of the square. This is 40*40 which gives us 1600. 1600-400pi is our answer
what is the value of a
Help please
Answers
When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.
B and C are 7, so a would also be 7
The ratio of white tiles
to shaded tiles is 5 to 6.
You have a total of 44
tiles. How many tiles
are shaded in all?
Answers
The number of white tiles is 20 and the number of shaded tiles is 24
The ratio of white tiles to shaded tiles is given as 5:6
Total number of tiles = 44 tiles
Let x be the number of shaded tiles then the number of white tiles will be 44-x
Formualting the equation using the above variables we get:
Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile
= 44-x/x = 5/6
= 264-6x = 5x
= 264 = 11x
x = 24
Hence, the number of white tiles is 20 and the number of shaded tiles is 24
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