Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answers
Answer:
2h+92
Step-by-step explanation:
The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Related Questions
Find the volume of this rectangular prism.
6 cm
16 cm
1 cm
Answers
Answer:
The answer is 96
Step-by-step explanation:
Just write (16 x 6) x 1 = v and solve it by doing 16 x 6 and the answer would be 96 cm for the volume.
composite figure pls help
Answers
Answer:
Step-by-step explanation:
divide the figure into 2 rectangle the one on top and bottom. Th one on top's dimensions would be length = 9 width = 3.
the bottom rectangles dimensions would be length = 5 (because 9-4) and width would be 3 (because 6-3)
so top rectangle : 9*3 = 27
bottom rectangle: 5*3 = 15
27+15 = 42
Answer:
[tex]A_{total} = 42\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the left rectangle
[tex]A = l * w[/tex]
[tex]A = 6\ cm * (9\ cm - 4\ cm)[/tex]
[tex]A = 6\ cm * 5\ cm[/tex]
[tex]A = 30\ cm^2[/tex]
Step 2: Determine the area of the right rectangle
[tex]A = l * w[/tex]
[tex]A = 4\ cm * 3\ cm[/tex]
[tex]A = 12\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 30\ cm^2 + 12\ cm^2[/tex]
[tex]A_{total} = 42\ cm^2[/tex]
Answer: [tex]A_{total} = 42\ cm^2[/tex]
The histograms below show the ages of dogs at four different shelters. For which set of data is the mean most likely greater than the median?
A bar graph has age on the x-axis and number of dogs on the y-axis. There is 1 dog that is 0 to 1 year of age; 4 dogs that are 2 to 3; 2 dogs that are 4 to 5; 0 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 3 dogs that are 2 to 3; 4 dogs that are 4 to 5; 3 dogs that are 6 to 7; 0 dogs that are 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. A bar graph has age on the x-axis and number of dogs on the y-axis. There are 0 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 4 dogs that are 6 to 7; 1 dog that is 8 to 9.
A bar graph has age on the x-axis and number of dogs on the y-axis. There are 2 dogs that are 0 to 1 year of age; 1 dog that is 2 to 3; 2 dogs that are 4 to 5; 1 dog that is 6 to 7; 2 dogs that are 8 to 9.
Answers
The set of data for which the mean is most likely greater than the median is the data given by first histogram.
How to identify skewed graph?A skewed distribution is a distribution having bias on one of the two sides (either left or right).
It is like leaning mountain on one side (left or right).
A left skewed graph have elongated tail on the left side of the main mountain like figure. The mountain like figure is after that elongated tail. It is also called negatively skewed graph.
This graph usually has mean < median < mode
A right skewed graph has elongated tail on the right side of the main mountain like figure. The mountain like figure is before that elongated tail. It is also called positively skewed graph. This graph usually has:
Mode < median < mean.
For this case, we can try to find the histogram which is right skewed because for right skewed graphs, the mean of the data is greater than the median.
For being right skewed, the histogram needs to be elongated on the right. The elongation on right means the perpendicular axis of the graph (the frequency) has lower and lower values in the right end of the graph.
So, the histogram, which has all values having approx lower frequencies on the right side than any other part of the histogram, has got its mean > median.
We're given these histograms:
Histogram 1:Age Frequency
0 - 1 years 1
2 - 3 years 4
4 - 5 years 2
6 - 7 years 0
8 - 9 years 1
Histogram 2:Age Frequency
0 - 1 years 0
2 - 3 years 3
4 - 5 years 4
6 - 7 years 3
8 - 9 years 0
Histogram 3:Age Frequency
0 - 1 years 0
2 - 3 years 1
4 - 5 years 2
6 - 7 years 4
8 - 9 years 1
Histogram 4:Age Frequency
0 - 1 years 2
2 - 3 years 1
4 - 5 years 4
6 - 7 years 1
8 - 9 years 2
The second and fourth histograms are symmetric, because of symmetric values on its either side of the mid value for 4-5 years old dogs' frequencies. Thus, they're not skewed.
The third histogram is negatively skewed because of high values on right side (the last values in the table belongs to bigger ages, and on the axis for age of dogs, by sign convention, the bigger ages will be on right to the smaller age values) than the smaller values, and smaller values are forming tail on left side. Thus, its negatively skewed distribution.
The first histogram has positively skewed distribution, since at the end, it has very small values and there is mountain like structure on the left side.
Thus, for this histogram, the median < mean is most likely to be happening. (we still use the word 'likely' since the data is not large enough to apply these approximations of mean and median and mode, as it works better for large data sets).
Thus, the set of data for which the mean is most likely greater than the median is the data given by first histogram.
The graph of the first histogram is attached below.
Learn more about skewed distribution here:
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Answer:
A. The first graph
Step-by-step explanation:
Got it right on an edge test
Have a nice day :)
please help me with the question
Answers
Answer: A
Step-by-step explanation:
The answer to this system of equations is (0,4)
The figure below represents a parallelogram ABCD with AB//CD and AC//BD A 35° B Z 9 ~ W 45° p 1' S 75° 25° C D Find the size of each of the lettered angles. X J
Answers
Answer:
Step-by-step explanation:
Martha wants to rent a car for a week and to pay no more than $200. How far can she drive if the can
rental costs $120 a week plus $.25 a mile?
Answers
Answer:
martha can go 300 miles with her 130 dollars
Step-by-step explanation:
300 miles $130 brain liest me please need id
x - 9y = -19 What is thr slope intervept form and answer
Answers
Answer:
[tex]y=\frac{1}{9}x+19/9[/tex]
Step-by-step explanation:
First get y by itself.
[tex]x-9y=-19\\-9y=-x-19\\[/tex]
Then variable y itself
[tex]y=(-x-19)*-1/9\\y=\frac{1}{9}x+19/9[/tex]
I’m sooo confused please help me
Answers
18π
Step-by-step explanation:
so first you need to find the area of both semi- circles. To do this you will use the formula 1/2πr^2 since it is half the area of a circle.
So for the smaller semi circle you do 1/2×π×8^2 to get 32πcm^2.
Now for the large semicircle you do 1/2×π×10^2 to get 50πcm^3.
Now you take 50π from 32π to get just the area of the shaded region.
This is 18π or 56.55cm^2
Find x, y, and z. Please Show work how you did!
Answers
Answer:
y=36,x=108,z=30
Step-by-step explanation:
1)180°=72°+(3y)°
=>(3y)°=180°-72°
=>(3y)°=108°
=>3y=108
=>y=36
2)(x)°=(3y)°=>x=108
3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30
Answer:
x = 108
y = 36
z = 30
Step-by-step explanation:
(x)° + 72° = 180° (interior angles on the same side of transversal)
-> (x)° = 180 - 72°
-> (x)° = 108°
-> x = 108
(3y)° = (x)° (corresponding angles)
-> 3y = x
-> 3y = 108
-> y = 108/3
-> y = 36
(3z + 18)° = (x)° (corresponding angles)
-> 3z + 18 = x
-> 3z + 18 = 108 - 18
-> 3z = 108 - 18
-> 3z = 90
-> z = 90/3
-> z = 30
5. John and Alice are going to visit their friends in Chicago. They need to exchange their
Canadian money (CAD) to American money (USD). Alice goes to the bank and asks for $300
USD. They charge her $400 CAD. John goes to the bank on the same day and asks for $175
USD. Assuming that he gets the same exchange rate, how much do they charge him in
Canadian dollars?
Answers
Answer:
$233.33
Step-by-step explanation:
I will use the is/of method
[tex]\frac{300}{400}[/tex]=[tex]\frac{175}{?}[/tex]
175*400=70,000
70,000/300=233.33
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answers
_____________________________________
AnswerS :
1. Tan Z = p / b = 21/28
2. Cos C = b / h = 16 / 34 = 8/17
3. Sin C = p/ h = 28/35
4. Tan X = p / b = 32/24 = 16 / 12
5. cos A = b / h = 30/34 = 15 / 17
6. Sin A = p / h = 32/40 = 16/20
7. sin Z = p / h = 24 / 40 = 12 / 20
8. sin C = p / h = 14 / 50 = 7 / 25
RemembeR :
Sin θ = Perpendicular / HeightCos θ = Base / Height Tan θ = Perpendicular / Base- HappY LearninG (≧▽≦)
__________________________________
SOHCAHTOA is an acronym for the formula
Sin= Opposite/hypothenuse
cos= adjusent/ hypothenuse
tan=opposite/adjusent
After u found the ratio u use inverse- put it in ur calculator then u get the answer
i answered one question- so u see how to solve
Determine if 51 is rational or irrational and give a reason for your answer
Answers
Answer:
irrational because the square root of 51 is irrational.
Two frisbees (circular flying discs: small and large) are used for two games. In game 1, the large disc is used and has a diameter of 27.3 cm. In game 2, the small disc is used and has a diameter of 22.5. The circumference of the flying disc for the first game is how many centimeters greater than the circumference of the flying disc used for the second game, to the nearest centimeter? Use 3.14 for \piπ.
Answers
Answer:
15 cm (to the nearest cm)
Step-by-step explanation:
Circumference of a circle = πd (where d is the diameter)
Large disc
diameter (d) = 27.3 cmπ = 3.14⇒ circumference = 3.14 × 27.3 = 85.722 cm
Small disc
diameter (d) = 22.5 cmπ = 3.14⇒ circumference = 3.14 × 22.5 = 70.65 cm
Difference between circumferences
= circumference of large disc - circumference of small disc
= 85.722 - 70.65
= 15.072
= 15 cm (to the nearest centimeter)
There are 5 white pencils and 6 red pencils in a box. One pencil is selected at random and not replaced. Another pencil is randomly selected from the remaining pencils. Determine whether this event is independent or dependent. Explain your answer.
A. Independent; the first pencil does not affect the sample space for the second one.
B. Independent; there are fewer pencils to choose from the second time.
C. Dependent; the first pencil does not affect the sample space for the second one.
D. Dependent; there are fewer pencils to choose from the second time.
Answers
Answer:
D
Step-by-step explanation:
You have 5 + 6 pencils, which is 11 pencilsThe probability you will get white is 5/11Prob you get red is 6/11If you pick up a pencil and do not replace it, you now only have 10 pencils leftThe prob you get a red or a white is dependent on what you picked up firstOn a number line, show all values of x for which |x|>3
Please say what i need to use like rays or whatever too
Answers
Answer: 3<x
Step-by-step explanation: anything under 3, use a ray (infinite) pointing to the left with a open circle
Please help me with this math problem!! :) Will give brainliest!!
Answers
Answer:
Your answer is x=-13/3
Step-by-step explanation:
RS and QT are equal knowing this your equation would be x=4x+13. you get -3x=13 when 4x get cancelled out, divide both side by 3 and you get -13/3
What is the area of this figure?
Answers
Answer:
58.5
Step-by-step explanation:
Calculate the circumference and area of this circle
Answers
Answer:
Circumference = 10[tex]\pi[/tex] or 31.4
Area = 25[tex]\pi[/tex] or 78.5
Step-by-step explanation:
Circumference formula is [tex]2\pi r[/tex]
Plug in the radius of 5 for the equation:
[tex]2\pi 5[/tex] or [tex]10\pi[/tex]
Area formula is [tex]\pi r^{2}[/tex]
Plug in the radius of 5 for the equation:
[tex]\pi 5^{2}[/tex] or [tex]25\pi[/tex]
Hi, can you please help me answer this direct proportion question?
Somehow I keep getting it wrong and so I'd really appreciate some help. Please don't offer joke answers and possibly show me any workings out.
Thank you :)
Answers
Answer:
X = 100
Step-by-step explanation:
In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.Multiply the left by k, so [tex]y = \frac{k}{\sqrt{x} }[/tex]we know that y= 5, for x = 36, so sub this in the equation[tex]5 = \frac{k}{\sqrt{36} }[/tex]simplify[tex]5 = \frac{k}{6 }[/tex]re-arrange for k, k = 5*6 = 30now we know k, we can create the real equation, [tex]y = \frac{30}{\sqrt{x} }[/tex]sub in 3 as y[tex]3 = \frac{30}{\sqrt{x} }[/tex]x = 100What past paper is this, can you please put a link to the question paper that this question came from :
danil, gabriel and hadley share some money in the ratios 3:5:9 the difference between the amount of money that gabriel receives and the amount of money that hadley receives is 196 euros. work out the amount of money that danil receives
Answers
Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.
What is a proportion?A proportion is a fraction of a total amount.
Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:
[tex]D = \frac{3}{17}n[/tex]
[tex]H = \frac{9}{17}n[/tex]
The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.
[tex]196 = \frac{9}{17}n[/tex]
[tex]n = \frac{196 \times 17}{9}[/tex]
n = 370.22.
Hence, the amount received by Danil is given by:
[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]
More can be learned about proportions at https://brainly.com/question/24372153
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1. A triangular garden is being formed with stones. The three sides measure 4 meters
by 6 meters by 7 meters. Which of the following is a true statement about the side
lengths of the triangle?
A The side lengths will nptform a triangle because 6 + 4 > 7
B. The side lengths will form a triangle because 4 + 6+ 7
C. The side lengths will not form a triangle because 7 + 4 < 6
D. The side lengths will form a triangle because 6 + 7 > 4
Answers
Answer:
The side lengths will form a triangle because 6+4 > 7
Step-by-step explanation:
For side lengths, the two smallest sides (ex. 6 and 4) must have a greater sum than then highest side length. Since 6+4 is greater than 7, it creates a triange. If it would have been 5+2 it would not have worked because it needs to be greater than, not less than or equal to.
simplify square root of m over square root of 9n^3
Answers
Answer:
⁴root(9m²n/3n)
Step-by-step explanation:
just simplify the like terms
Hannah made a table to show
the number of paragraphs in her
essays based on the number of
hours it took to write the essays.
Her data set is shown in the
table.
Answers
The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x - 1
How to determine the equation of the line of best fit?From the given figure, we have the following points on the line of best fit:
(x,y) = (2,1.5) and (4,4)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{4 -1.5}{4 - 2}[/tex]
Evaluate the differences
[tex]m = \frac{2.5}{2}[/tex]
Divide
m = 1.25
The equation is then calculated using:
y = m(x - x₁) + y₁
So, we have:
y = 1.25(x - 2) + 1.5
Open the bracket
y = 1.25x - 2.5 + 1.5
Evaluate
y = 1.25x - 1
Hence, the equation of the line of best fit is y = 1.25x - 1
Read more about linear regression at:
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In the function y = 4x + 3, what is the value of the dependent variable if the value of the independent variable is 3?
Answers
8
300
60°
y
Find the value of y.
Answers
Manuel is packing smaller boxes inside a large box. The
smaller boxes are cube-shaped and measure 6 inches
along each edge. The large box is cube-shaped and
measures 24 inches along each edge. How many
smaller boxes can Manuel fit in the large box?
Answers
The number of the smaller cube-shaped boxes that Manuel can fit into the large cube-shaped box is: 64.
What is the Volume of a Cube?Volume of a cube = a³, where a is the edge length of the cube.
Volume of the smaller cube-shaped boxes = a³ = 6³ = 216 in.³
Volume of the larger cube-shaped box = a³ = 24³ = 13,824 in.³
Number of the smaller boxes that will fit into the large box = 13,824/216 = 64 smaller cube-shaped boxes.
Learn more about volume of a cube on:
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sin C = AB/??
BA
AC
BC
AB
Answers
Answer:
Step-by-step explanation:
A 15-foot ladder is set up 5 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot
Answers
Answer:
20 feet up
Step-by-step explanation:
its quite simple really, just add 15+5 and you get 20
If f(y-5)=3y²-4y-10, find f(2)
Answers
Answer:
29
Step-by-step explanation:
What we do here is that we plug in 2 here like a puzzle.
f(2-5) = f(-3)
So, when we plug in 2 to the function, we get a f(-3)
Nowe take f(-3)
= 3(-3)²-4(-3)-10
= 3(9)+12-10
= 27+12-10
= 29
5. Find m< BOC
please help
Answers
Answer: 110 degrees
Step-by-step explanation: