Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.
Answers
Answer:
your age is 10 and your brothers age is 2 the equation is
Step-by-step explanation:
a=5b=b+9
the first part is how old you are the second is how old your brother is and the third is how old your sister
Related Questions
WILL GIVE BRAINLIEST ASAP
In the figure below, m Z2 =55° and m 2 KJL = 154º.
Find m 21.
Answers
Answer:
99°
Explanation:
given:
m∠2 = 55°
solve:
m∠1 + m∠2 = ∠KJL
m∠1 = ∠KJL - m∠2
m∠1 = 154° - 55°
m∠1 = 99°
Answer:
m∠1 = 99°
Step-by-step explanation:
m∠1 + m∠2 = m∠KJL
⇒ m∠1 + 55 = 154
⇒ m∠1 = 154 - 55
⇒ m∠1 = 99°
There are two pitchers of lemonade in the fridge there are 1.5 gallons of lemonade in 1 pitcher and 9 quarts of lemonade in the other pitcher how many cups of lemonade are there in the fridge
Answers
Answer:
52 cups
Step-by-step explanation:
1 gallon = 4 quarts
1.5 gallons = 6 quarts
6 + 9 = 13 quarts of lemonade in the fridge.
1 quart = 4 cups
13 quarts = 4 × 13 = 52 cups
52 cups of lemonade are in the fridge.
I would really appreciate it if you would mark me brainliest!
Have a blessed day!
Answer:
60 cups
Step-by-step explanation:
1 gal = 16 cups
1 quart = 4 cups
16 cups
1.5 gal x ------------- = 24 cups
1 gal.
4 cups
9 quarts x ----------- = 36 cups
1 quart
number of cups of lemonade in the fridge = 24 cups + 36 cups = 60 cups
Martha went to the store with$75.00 she bought 3 pairs of socks for $4.00 each she bought 2 shirts for $20.00 each and she bought a skirt for $21.00 how much money did she have left?
Answers
Answer:
$2 dollers
Step-by-step explanation:
On a test, the number of questions Pam answered correctly was
1 and 1/2
times the number of questions she answered incorrectly. If Pam answered 30 questions incorrectly, how many questions were on the test?
Answers
Answer:
28.5
Step-by-step explanation:
QUESTION 6 1 POINT
Using the table, what is the average daily balance of the credit card for the August 1 through August 31 billing period?
Round your answer to the nearest dollar.
Provide your answer below:
Day
1
8
16
24
Activity
Payment
Purchase
Purchase
Adjustment Closing Balance
-550
4
+200
+150
850
300
500
650
Answers
Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.
To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.
Let's calculate the daily balances for each day:
Day 1: Closing Balance = $850
Day 8: Closing Balance = $300
Day 16: Closing Balance = $500
Day 24: Closing Balance = $650
To calculate the daily balances, we need to consider the activities that occurred on each day.
On Day 1, there was no activity recorded, so the closing balance remains at $850.
On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.
On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.
On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.
Now, let's calculate the average daily balance:
Sum of daily balances = $850 + $300 + $500 + $650 = $2300
Number of days in the billing period = 31
Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19
For more such questions on balance
https://brainly.com/question/11070711
#SPJ8
Akari has a sink that is shaped like a half beer with a radius of 5 in if Akari was to fill the sink with water what would the volume be? Find the volume of the sphere with the same radius. Find the volume of the sink if it is half of a sphere.
Answers
Please help!!!!!!
Find each unit rate and express your answer as a decimal:
72 miles in 6 hours is
6
miles per hour.
427 miles in 8 hours is
miles per hour.
Answers
Answer:
53.4 mph rounded to 3 SF
Step-by-step explanation:
427/8
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Ravi says,” if 10 years are added to my age, then my age becomes 25.”if Ravi’s present age is x years,
then find the linear equation satisfying the given condition.
Answers
Answer:
The linear equation satisfying the given condition is,
\(x=t+15\)
where x is Ravi's age and t is the number of years
(after 10 years (t=10) his age becomes 25)
Step-by-step explanation:
Let x be Ravi's age
Now, his current age is unknown, but if you add 10 to it, then it becomes 25, so
x + 10 =25
so, his current age is x = 25 =10
x = 15
Now, we find the linear equation satisfying the given condition,
Let t be the number of years that have passed since the present time
so, if 0 years have passed, his age will be 15 years
after 1 year, his age will be 16 years
after 10 years, his age will be 25 years and so on
so
\(x = t + 15\)
this satisfies the given condition, since if we add ten years i.e t = 10,
then we get 25
The equation is:
⇨ x + 10 = 25Work/explanation:
Here's the linear equation for Ravi's age.
Ravi's age is x.
If you add 10 to x you get x + 10.
That gives 25.
So the linear equation is x + 10 = 25.
I need help with this question very fast !!
Answers
Answer:
angle a: 70°
angle d: 70°
angle dce: 35°
x: 15m
y: 14m
Step-by-step explanation:
all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70
where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar
knowing that they are similar triangles will help with figuring out the lengths of the sides.
since they are similar, their sides will be proportional, we just need to figure out the ratio
if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x
now we can solve for x
multiply both sides by x
12x/18 = 10
now multiply both sides by 18
12x = 180
divide both sides by 12
x = 15
now we do the same for y
12/18 = y/21
12*21/18 = y
y = 14
hope this helps!
what is 5.3 x 5.3 x 5.3 x5.3 as a power?
Answers
The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.which means
To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.
So, the expression can be rewritten as 5.3 raised to the power of 4, or \({(5.3)}^4\).
The formula for expressing a number multiplied by itself n times as a power is: \(a^n\)
In this case, a is 5.3 and n is 4.
To evaluate the expression, we can simply multiply 5.3 by itself four times:
5.3 x 5.3 x 5.3 x 5.3 = 6241.03
Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as \({(5.3)}^4\), which is equal to 6241.03.
In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.
Learn more about exponentiation and powers here:
https://brainly.com/question/32431373
#SPJ6
The first five terms of a quadratic sequence are 3, 12, 25, 42, 63.
Find the nth term of this sequence.
Answers
Since we know the sequence is quadratic, we expect the \(n\)-th term to have the general form
\(x_n = an^2 + bn + c\)
Plug in the first 3 known values of the sequence to form a system of equations.
\(x_1 = 3 = a + b + c\)
\(x_2 = 12 = 4a + 2b + c\)
\(x_3 = 25 = 9a + 3b + c\)
Eliminating \(c\) gives
\((4a + 2b + c) - (a + b + c) = 12 - 3 \implies 3a + b = 9\)
\((9a + 3b + c) - (a + b + c) = 25 - 3 \implies 8a + 2b = 22 \implies 4a + b = 11\)
Eliminating \(b\) gives
\((4a + b) - (3a + b) = 11 - 9 \implies a = 2\)
Solving for \(b,c\), we get
\(4a + b = 11 \implies b = 11-4\cdot2 = 3\)
\(a+b+c=3 \implies c=3-2-3 = -2\)
So, the \(n\)-th term of the sequence is
\(x_n = \boxed{2n^2 + 3n - 2}\)
A triangle has the vertices at A(1,3), B(4,2), and C(3,8). What transformation would produce an image with the vertices A’(3,-1),B’(2,-4), C’(8,-3)?
A) Reflection over the x axis
B) Reflection over the line y=x
C) Rotation 90° CW about the origin
D) Rotation 180° about the origin
Answers
9514 1404 393
Answer:
C) Rotation 90° CW about the origin
Step-by-step explanation:
The transformation for rotation CW 90° is ...
(x, y) ⇒ (y, -x)
This is apparently the transformation that gets ...
A(1, 3) ⇒ A'(3, -1)
__
Additional comment
Attached is a list of the commonly used transformations for your reference.
Answer:
C
Step-by-step explanation:
Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?
Answers
Answer:
$230.04
Step-by-step explanation:
216 * 0.065= 230.04
A three-column table is given.
Part A C D
Part 30 36 46
Whole B 54 69
What is the value of B in the table?
45
50
18
23
Answers
The value of 'B' in the table is 45.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas.
It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics.
The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, A three-column table.
Part A C D
Part 30 36 46
Whole B 54 69
In D it is 23×2 and 23×3.
Similarly, in C it is 18×2 and 18×3.
Therefore, In A it is 15×2 and 15×3 = 45.
the value of B in the table is 45.
learn more about types of presentation of data here :
https://brainly.com/question/22393918
#SPJ1
#18 *
C) Assessment Practice
18. Last month you spent $30. This month you spent 140% of what you spent
last month. Set up a proportion to model this situation. How much did you
spend this month?
Your answer
Answers
Answer: You spent $42 this month.
Step-by-step explanation:
\(\frac{x}{30} = \frac{140}{100}\) solve by cross product
100x = 4200
x= 42
help me please thanks
Answers
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
There are 136 boys and 172 girls at Wood Middle School. There are 312 boys and 264 girls at Parker Middle School. What is the ratio of students at Wood Middle school to students at Parker Middle School? OA. B. 17 39 144 77 43 66 77 144
Answers
Answer: 77 : 144 or 77/144
Step-by-step explanation:
First find the total number of people for each school.
Wood Middle School : 136 + 172 = 308
Parker Middle School: 312 + 264 = 576
The ratio of students at Wood school to students at Parker Middle School is
308 : 576 = 77 : 144 or 77/144
Answer: 77 : 144 or 77/144
Step-by-step explanation:
First find the total number of people for each school.
Wood Middle School : 136 + 172 = 308
Parker Middle School: 312 + 264 = 576
The ratio of students at Wood school to students at Parker Middle School is
308 : 576 = 77 : 144 or 77/144
Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins.
Answers
The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.
How do you make a histogram with data?A frequency histogram or a relative frequency histogram can be used to depict data if there are several data points and we want to examine how they are distributed.A histogram resembles a bar chart in appearance, but it displays numerical data. The data must be divided into class intervals in order to make a histogram. Then make a tally to display the frequency (or relative frequency) of the data within each interval. The frequency in a given class divided by the overall number of observations is the relative frequency. The bars are the same width as the class interval and the same height as the frequency (or relative frequency).Histogram Illustration
Jessica has been self-weighing every Saturday for the past 30 weeks. She was weighed in pounds, as shown in the table below.135 137 136 137 138 139
140 139 137 140 142 146
148 145 139 140 142 143
144 143 141 139 137 138
139 136 133 134 132 132
Her weight should be a histogram.
Answer
Usually, we want histograms to have intervals between 5 and 20. With a class of width 2, which will offer us 9 intervals given that the data ranges from 132 to 148, it is practical to have.131.5-133.5
133.5-135.5
135.5-137.5
137.5-139.5
139.5-141.5
141.5-143.5
143.5-145.5
145.5-147.5
147.5-149.5
To eliminate any doubt about whether the end point belongs to the interval to its left or to its right, we chose the end points to be.5, which is why. The endpoint convention specification is a substitute. The left end point, for instance, is included by Minitab but the right end point is not.To Learn more About histogram refer to:
https://brainly.com/question/25983327
#SPJ1
ACCOUNTING
Differential Analysis for a Lease-or-sell Decision
Stowe Construction Company is considering selling excess machinery with a book value of $280,200 (original cost of $399,900 less accumulated depreciation of $119,700) for $277,800, less a 5% brokerage commission. Alternatively, the machinery can be leased for a total of $286,800 for 5 years, after which it is expected to have no residual value. During the period of the lease, Stowe Construction Company's costs of repairs, insurance, and property tax expenses are expected to be $24,900.
Answers
On the basis of the data presented, it would be advisable to sell the machinery based on the differential analysis.
For selling the machinery,
Revenues = $277,800
Costs = 277,800 × 5% = $13,890
Profit = Revenues - Cost = $277,800 - $13,890 = $263,910
For leasing the machinery,
Revenues = $286,800
Costs = $24,900
Profit = Revenues - Cost = $286,800 - $24,900 = $261,900
Here the profit generated by selling the machinery is greater, which is the better option.
Hence selling the machinery is the better option.
Learn more about Differential analysis here :
https://brainly.com/question/23910901
#SPJ1
On the basis of the data presented, it would be advisable to sell the machinery based on the differential analysis.
For selling the machinery,
Revenues = $277,800
Costs = 277,800 × 5% = $13,890
Profit = Revenues - Cost = $277,800 - $13,890 = $263,910
For leasing the machinery,
Revenues = $286,800
Costs = $24,900
Profit = Revenues - Cost = $286,800 - $24,900 = $261,900
Here the profit generated by selling the machinery is greater, which is the better option.
Hence selling the machinery is the better option.
Learn more about Differential analysis here :
https://brainly.com/question/23910901
#SPJ1
A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain your reasoning. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)
1 in to 1 ft
1 in to 1 m
1 in to 1 yd
Smallest:
[ Select ]
second smallest:
[ Select ]
Largest:
[ Select ]
Answers
The order of the scale drawings from smallest to largest is
Smallest
1 in to 1 ft
Second smallest
1 in to 1 yd
Largest
1 in to 1 m
Given the following scales:
1 in to 1 ft
1 in to 1 m
1 in to 1 yd
We are to arrange the scales from smallest to largest.
Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.
Convert 1m to yards
1m = 1.1yards (From the question)
Convert 1ft to yards. According to conversion factor;
1 feet = 0.333333 yards
Ordering the scales from smallest to largest will give
0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)
Learn more here: https://brainly.com/question/14348682
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Answers
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
Learn more about cost at https://brainly.com/question/29509552
#SPJ1
PLEASE SOMEONE TELL ME THE VALUE OF THESE COINS PLEASE
Answers
3 friends share
5/6 of a pizza
What fraction of a pizza does each person get?
Answers
Answer:
5/18
Step-by-step explanation:
We assume they share equally.
5/6 ÷ 3 = 5/6 × 1/3 = 5/18
Click to see image, giving brainlyest and thanks
Answers
Answer:
400 visitors were there for 65 and over
Step-by-step explanation:
20÷100×2000
20÷100=0.2
0.2×2000=200
hope it will help you
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
Answers
The height of the tree after 6 years can be expressed as "3 feet + 6f feet."
The correct answer is A. 3f + 6 feet.
To determine the current height of the tree in terms of "f,"
let's analyze the given information.
We know that the tree was initially 3 feet tall when it was planted 6 years ago.
Since the tree grows every year, we can assume that its growth rate is consistent.
Let's denote the current height of the tree as "h" (in feet).
After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").
Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."
For similar question on height.
https://brainly.com/question/28122539
#SPJ8
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
Answers
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
More on summary can be found here: https://brainly.com/question/24839707
#SPJ1
According to Chapter 3: Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least _________________.
Group of answer choices
4'x6'
8'x8'
4'x8'
6'x10'
Answers
Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
What is the size (area) of sheet lumber?The most common size (area) for sheet lumber is 4 x 8 feet, about 32ft² or 2.97m².
Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.
This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.
Data and Calculations:Length of sheet lumber = 8 feet
Width of sheet lumber = 4 feet
Area of sheet lumber = 32 ft² (8 x 4)
Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least C. 4'x8'.
Learn more about the area at https://brainly.com/question/25292087
#SPJ1
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
Answers
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
Read more about graphs at:
brainly.com/question/9353377
#SPJ9
PLEASE HELP I DO NOT UNDERSTAND!
Solve
p-5(p+4)=p-(8-p)
Answers
Answer:
We have a constant variable p Combine like terms p-5p-20=p-8+p-4p-20=2p-8-20=6p-8 -12=6pp=-2