Answers
Answer:
1, 3, 5
Step-by-step explanation:
let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then
5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )
5n + 10 = 2(2n + 4) + 3
5n + 10 = 4n + 8 + 3
5n + 10 = 4n + 11 ( subtract 4n from both sides )
n + 10 = 11 ( subtract 10 from both sides )
n = 1
n + 2 = 1 + 2 = 3
n + 4 = 1 + 4 = 5
The 3 consecutive odd numbers are 1, 3, 5
Step-by-step explanation:
let the three consecutive odd number be x + 1 , x + 3 , x + 5
a/q
5 times the middle number = 5(x + 3) is
3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )
so,
= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )
= 5x + 15 = 3 + 4x + 12
= 5x + 15 = 4x + 15
= -4x + 5x = 15 - 15 = 0
= x = 0
so, the 3 consecutive odd numbers are,
x + 1 = 1
x + 3 = 3
x + 5 = 5
and also a/q
5 times the middle number = 5×3 = 15
is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15
LHS = RHS
hope this answer helps you dear...take care and may u have a great day ahead!
Related Questions
Write a rule in both coordinate notation in vector notation to represent the translation of a parallelogram to the right
Answers
The rule in vector notation for the translation to the right is described by the following formula:
[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]
Vectorially speaking, a translation is described by the following expression:
[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)
Where:
[tex]V(x,y)[/tex] - Original point.[tex]V' (x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:
[tex]T(x,y) = (9, -4)[/tex]
And the rule in vector notation for the translation to the right is described by the following formula:
[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]
We kindly invite to check this question on translations: https://brainly.com/question/12463306
Summarize Rotational Symmetry in your own words.
Answers
Answer:
a pattern that we can turn a pattern by some degree about a point and the pattern looks exactly the same
Step-by-step explanation:
Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise
Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49
Answers
Answer: 0.04, 0.2, 1/2, 3/4, 5, 73
Step-by-step explanation:
In 2016, George Washington's birthday fell on Friday, February 12. On what day of the week does Lincoln's birthday fall in 2025?
Need solution thanks
Answers
Wednesday
If you use a calender, it falls on a wednasday
find the scale factors for the dilation of the small quadrilateral to the large
a. 2
b. 5
c. 4
d.3
Answers
please show working, please!
Answers
Answer:
84
Step-by-step explanation:
7/10 of them likes math and there are 240 student in total
240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls
then there are 84 girls that likes math.
Cameron had a balance of $450.00 in his account, and then he made a purchase for $517.50. What is the
new balance in his account?
Answers
Answer:
-$67.50
450 - 517.5 = -67.5
2x+20=12x by first subtracting 20 from each side what property allows you to do so does it help you get closer to finding a solution what is a better first step
Answers
Answer:
Step-by-step explanation:
2x+20=12x
We can subtract 2x from both sides:
2x+20-2x=12x-2x
20=10x
20/10=x
x=2
Solve for x. Show each step of the solution.
2.5(4-x)+12=21-4(2.5x+7)
Answers
Answer:
x=-58/15
Step-by-step explanation:
distribute first 10-2.5x+12=21-10x-28
Simplify(add the numbers) 22-2.5x=-7-10x
move the variable to the left side 22-2.5x+10x=-7
move the constant to the right side -2.5x+10x=-7-22
simplify like terms 7.5x=-29
divide by 7.5 x=-58/15
alternate forms are x=-3 13/15 or x=-3.86
O Stretch Your Thinking A balloon vendor sold 225 balloons
on Saturday. He sold red, yellow, and blue balloors, Hero
100 red balloons and 25 more red than blue, How many
yellow balloons did he sell?
Answers
I need help with this
Answers
Answer:
c
Step-by-step explanation:
17. Solve the following equation. (1 point)
3(y – 5) + 2 = 5
Oy=4
Oy=7
Oy= 4
Oy=6
Answers
Answer:
y = 6
Step-by-step explanation:
[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]
I hope I helped you^_^
The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.
Thus, option (d) is correct.
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).
Let's solve the equation step by step:
3(y - 5) + 2 = 5
First, distribute the 3 on the left side:
3y - 15 + 2 = 5
Combine the constants on the left side:
3y - 13 = 5
Now, isolate the variable y by adding 13 to both sides:
3y = 18
Finally, divide both sides by 3 to solve for \(y\):
y = 18/3
y = 6
So, the solution to the equation is y = 6.
Thus, option (d) is correct.
Learn more about Equation here:
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Richard and Teo have a combined age of 31. Richard is 13 years older than twice​ Teo's age. How old are Richard and​ Teo?
Answers
Answer:Teo is 6 and Richard is 25
Step-by-step explanation: Let R and T stand for Richard and Teo's ages. We are told:
R+T=31
R=2T+13
Substitute:
R+T=31
2T+13+T=31
3T+13=31
3T=18
T=6
Since R+T=31, R+6=31, and R = 25
Check my answers please
Answers
Answer:
i think u are right
Step-by-step explanation:
Please help!! due soon!!
i’m having trouble with a discussion for my class
“Devon is having difficulty determining if the relation given in an input-output table is a function.
Marco explains to him that in order to tell if the relation in the table is a function, Devon needs to check if any output values are reported. If they repeat and have different input values, the relation is not a function.
INSTRUCTIONS
If Marco is correct, respond to the following statement:
-Summarize Marco’s reasoning in your own words
If Marco is incorrect, respond to the following statement:
-Explain what is wrong with Marco’s reasoning and provide an example of a function.”
please help!!!!!
Answers
A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?
Answers
its 304.8 milimeter
The actual length of the bus that the scale model represents is 252 inches.
To find the actual length of the bus represented by the scale model, you can use the scale ratio.
Given:
Scale model length = 12 inches
Scale ratio = 1:21
Let "x" be the actual length of the bus.
Using the scale ratio:
Scale model length / Actual length = Scale ratio
12 inches / x inches = 1/21
Now, solve for "x":
x = 12 inches / (1/21)
x = 12 inches × 21
x = 252 inches
Therefore, the actual length of the bus that the scale model represents is 252 inches.
To learn more on Ratios click:
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Which of the expressions bests fits this situation?
Answers
Answer:The answer is option B
Step-by-step explanation:
To get the balance, the amount given to each employee should be multiplied by the total employees then the total surplus should be subtracted from the suplus distributed among the employees to get the remaining surplus
Find the value of x.
Answers
Answer:
x = 25
Step-by-step explanation:
Internal angles of a triangle = 180 degrees
So knowing this we can form the following equation
(x + 26) + (x + 14) + (4x - 10) = 180
Simplify
(x + x + 4x) + (26 + 14 - 10) = 180
6x + 30 = 180
Rearrange for x
6x = 180 - 30
6x = 150
x = 25
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
According to angle sum property of the triangle, we can say that :
[tex](x + 26) \degree + (4x - 10) \degree + (x + 14) \degree = 180 \degree[/tex][tex]x + 4x + x + 26 \degree - 10 \degree + 14 \degree = 180 \degree[/tex][tex]6x + 30 \degree = 180 \degree[/tex][tex]6x = 180 \degree - 30 \degree[/tex][tex]6x = 150 \degree[/tex][tex]x = \dfrac{150 \degree}{6} [/tex][tex]x = 25 \degree[/tex]The school that Jenny goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 14 adult tickets and 14 child tickets for a total of $322. The school took in $188 on the second day by selling 12 adult tickets and 1 child ticket. What is the price of each of one adult ticket and one child ticket?A. Adult Tickets: $17, Child Ticket: $12B. Adult Tickets: $15, Child Ticket: $8C. Adult Tickets: $9, Child Ticket: $3D. Adult Tickets: $24, Child Ticket: $13
Answers
The price of one adult ticket is $15 and the price of one child ticket is $8.
Two sets of equations can be derived from this question:
14a + 14c = 322 equation 1
12a + c = 188 equation 2
These equations are known as simultaneous equations and they can be solved to determine the cost of each ticket using the elimination method.
In order to determine the cost of the adult's ticket multiply equation 2 by 14
168a + 14c = 2632 equation 3
Subtract equation 1 from 3
2310 = 154a
Divide both sides by 154
a = $15
To determine the cost of the children's ticket substitute for a in equation 1
14(15) + 14c = 322
210 + 14c = 322
322 - 210 = 14c
112 = 14c
c = $8
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
rewrite each expression with positive exponents. simplify if possible .
Answers
help plz ill give u BRAINEST
Answers
Answer:
First option, relation 1 and relation 4
Step-by-step explanation:
Because they both cross one of the two axes once, which from what I remember, makes it a function.
Hope this makes sense, and please correct me if I'm wrong :)
14. Thomas is building a fence around his
garden. He made a scale drawing as
shown below.
4 cm
2 cm
Scale
1 cm: 1.5 m
What is the perimeter of the actual fence?
13
Answers
Answer:
18 meters
Step-by-step explanation:
4 cm = 6m
2cm = 3m
6x3=18
Please <3 my Answer B )
Answer:
13
Step-by-step explanation:
Solve for m:
2 (m + 7) = -4- m
Your answer
Answers
Answer:
m = -6
Step-by-step explanation:
2 (m + 7) = -4 - m
2m + 14 = -4 - m
3m + 14 = -4
3m = -18
m = -6
Hopefully this helps!
Brainliest please?
Answer:
m = -6
Step-by-step explanation:
To solve this equation for m, we multiply out the left side to remove the parentheses:
2m + 14 = -4 - m
Next, we combine like terms: 2m and -m are like terms, as are 14 and -4:
3m = -18
Dividing both sides by 3 yields m = -6
Ed receives a tax refund of 37.50. He spends 2/3 of his refund on clothing. He divides the rest among his 5 children. How much money does he give each child?
Answers
Answer:
He gave 2.50$ to each of his children
Step-by-step explanation:
Answer:
Each child got $2.50
Points cause i need help with math! so here u go and thanks everyone for the math help!!! here is my gratitude lol!
Answers
Answer:
the systems of equations corresponding to the given solutions, in order
Step-by-step explanation:
pls help me ASAP
ty
Answers
Step-by-step explanation:
D = b² - 4ac
#1D = 10² - 4 · 3 · 2
D = 100 - 24
D = 76
#2D = (-5)² - 4 · 1 · (-4)
D = 25 - (-16)
D = 26 + 16
D = 42
#3D = 7² - 4 · 1 · (-8)
D = 49 - (-32)
D = 49 + 32
D = 81
#4D = 0² - 4 · 1 · (-9)
D = 0 - (-36)
D = 36
#5D = (-6)² - 4 · 5 · 10
D = 36 - 200
D = - 164
Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2
Answers
Answer:
It´s going to be B
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
Question 1 : B) (8 x 20) - (8 x 1)
Question 2 : D) (2 x 9) + (2 x 3)
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
Answer:
B) (8 x 20) - (8 x 1)
D) (2 x 9) + (2 x 3)
Step-by-step explanation:
Distributive Property: "The distributive property tells us how to solve expressions in the form of a(b + c)."
___________________
Step 1: 8 x 19 = 152
Using PEMDAS, you can see which order to solve the equations in.
PEMDAS tells us to solve whatever is within the parenthesis first but there are 2 parenthesis and both have multiplication so just solve the first parenthesis first;
8 x 20 = 160
Step 2: We now have to solve the second parenthesis;
8 x 1 = 8
Step 3: Using PEMDAS, we see that after we solve the parenthesis, we do subtraction. So subtract 8 from 160.
160 - 8 = 152
So your answer is B) (8 x 20) - (8 x 1).
___________________
Step 1: 2(9 + 3)
Using the Distributive property, we multiply 2 by 9 and 3;
2 x 9 = 18
2 x 3 = 6
Now you are left with 18 + 6.
18 + 6 = 24
So your answer is D) (2 x 9) + (2 x 3).
___________________
Hope this Helps! :)
I need the answers, fast!
Answers
Answer:
-5/8, 1/3, -3/2
Step-by-step explanation:
1.
-7/8+1/4
-7/8+2/8
(-7+2)/8
-5/8
2.
-19/3+20/3
1/3
3.
2-7/2
(4-7)/2
-3/2
1-
-7/8+1/4
-7/8+2/8
(-7+2)/8
-5/8
2-
The difference of n and 7 is no more than 12. Find all possible values of n.
Answers
Answer:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29
7-12= -5
7+12= 29
-5 ≤ n ≤ 29 or -5 ≤ n < 30 or -6< n ≤ 29 or -6 < n < 30
either one is acceptable. question was not clear but i did my best! :)
