Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.
Answer: 15
Step-by-step explanation:
suppose; three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)
because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers
=> 5(x + 2) = 3( x +x +4) - 13
<=> 5x + 10 = 6x + 12 - 13
<=>6x - 5x = 10 + 13 - 12
<=> x = 11
=> the largest odd number is 11 + 4 = 15
The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15
Let the integers be : a, a + 2, a + 4
Creating a mathematical equation using the scenario given.
5(a + 2) = 3(a + (a + 4)) - 13
Open the bracket bracket
5a + 10 = 3(2a + 4) - 13
5a + 10 = 6a + 12 - 13
5a + 10 = 6a - 1
Collect like terms
5a - 6a = - 1 - 10
-a = - 11
a = 11
The largest integer = a + 4 ; 11 + 4 = 15
Therefore, the largest of the consecutive odd integers is 15
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Answer ASAP Brainliest and 22 Points!
Answer:
Step-by-step explanation:
1. 5x+8-7x=4x+1 2.
5x-7x+8=4x+1
2x+8=4x+1
-2x+8=4x+1
-2x+8-8=4x+1-8
-2x-8=4x-7
6x=-7
x=7/6
Find the values of x and y.
X= __
Y= __
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
Which of these is equivalent to 8: 5
3:4
3:7
4:2
4:3
Pls help
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
Answer:
the closest one i think is 4:3(dont get mad at me if its wrong)
Step-by-step explanation:
Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second
Answer:
[tex]R' = (-4 , 4)[/tex]
Step-by-step explanation:
Given
See attachment for the grid coordinate
From the attachment, we have that:
[tex]R = (-4,-2)[/tex]
Required
Determine the coordinates of the second truck
Represent the position with R'
From the question, we understand the position of R' is 6 above R
When a point (a,b) is moved n point above, the new point becomes (a, b + n)
So:
[tex]R = (-4,-2)[/tex]
When moved 6 points above becomes:
[tex]R' = (-4 , -2 + 6)[/tex]
[tex]R' = (-4 , 4)[/tex]
Hence, (-4,4) answers the question
Help please in 14,15,16,17,18,19,20,21
Graph the line for y+2=32(x+4) on the coordinate plane
Answer:
39
Step-by-step explanation:
(3=4)=7 y+2=32 so y is 30 and 7 + 32 is 39
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
£80
Step-by-step explanation:
If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.
Answer:
£80
Step-by-step explanation:
divide £400 by 5
400/5 = 80
Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add one, then double the result.
9514 1404 393
Answer:
2(x+1)
Step-by-step explanation:
x . . . I think of a number
x +1 . . . add 1
2(x +1) . . . double the result
la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?
Answer:
24cm, 36cm y 48cm
Step-by-step explanation:
Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.
(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)
Can anyone calculate the rise/run for this?
Answer:
0
Step-by-step explanation:
The slope of any horizontal line will be zero.
Answer:
slope = m = rise/run = 0/8 = 0
Step-by-step explanation:
Well rise/run is how much it rises over how much it runs.
Note it rises by 0 so 0 on top,
Therefore;
no matter it be 0/1 or 0/1241213261238126836128361 the rise/run also known as slope is always gonna be 0
Reasoning:
0 divided by anything is always 0
Hope this helps
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?
100
120
240
720
Answer:
120
Step-by-step explanation:
There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
Here, We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Hence, we can use the permutation formula:
P (n, k) = n! / (n - k)!
P (6, 3) = 6! / (6 - 3)!
P (6, 3) = 120
Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
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(−12)⋅(−12)⋅(−12)
lkndslnfkdsbdf
Answer:
-1728
Step-by-step explanation:
First, you multiply -12 and -12 which is 144
After that multiply 144 by -12 which is -1728
Answer: -1728
Hope this helps!
Answer:
-1728
Step-by-step explanation:
Give reasons for why it is isosceles
Answer:
because two angles are equal
PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to be honest please help.
Answer:
Step-by-step explanation:
We have
[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]
[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]
[tex]x = 2.929947041[/tex]
to the third decimal is 2.930 (i might be wrong on the rounding part)
Your family buys tickets for the Ranger game. Each ticket costs $16. You also have to pay for parking. After buying 4 tickets, your total bill is $96.50.
a) How much did you pay for parking?
b) Write an equation that gives your total bill (in dollars) as a function of the number of tickets you buy. Be sure to define your variables!
c) How many tickets could you buy with $250 if you also have to pay for parking?
Part (a)
Answer: $32.50
--------------------
Work Shown:
Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.
The total bill was $96.50
This leaves 96.50-64 = 32.50 for parking.
======================================================
Part (b)
Answer: y = 16x+32.50
--------------------
Work Shown:
x = number of tickets
y = total bill (in dollars)
1 ticket costs 16 dollars
x tickets cost 16x dollars since we multiply both values by x
Add on the cost of parking to get a total bill of y = 16x+32.50
======================================================
Part (c)
Answer: at most 13 tickets
In other words, 13 is the max you can get.
--------------------
Work Shown:
Plug y = 250 into the equation found back in part (b). Solve for x
We'll follow PEMDAS in reverse to isolate x
y = 16x+32.50
250 = 16x+32.50
16x+32.50 = 250
16x = 250-32.50
16x = 217.5
x = 217.5/16
x = 13.59375
Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.
x = 13 is the answer we're after.
If we plug in x = 13, we get
y = 16x+32.50 = 16*13+32.50 = 240.5
while x = 14 leads to
y = 16x+32.50 = 16*14+32.50 = 256.5
The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.
a) The parking fee is $32.50.
b) The equation is T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
We have,
a)
Total bill - Cost of tickets = Parking fee
$96.50 - ($16 * 4) = Parking fee
$96.50 - $64 = Parking fee
Parking fee = $32.50
b)
Total bill = T
Number of tickets = N
The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:
T(N) = 16N + Parking fee
c)
T(N) = 16N + Parking fee
Substituting the given values:
$250 = 16N + Parking fee
$250 = 16N + $32.50
$250 - $32.50 = 16N
$217.5/16 = N
N ≈ $13.6
Thus,
a) $32.50
b) T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
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What is 3/4 + 4/5 + 5/6
The Answer is...
143 over 60
(Decimal: 2.38333)
The price of a smart watch is $109.99 and the sales tax is 6.5%. What is the total cost of the smart watch? Enter your answer in the box.
Answer:
$117.14
Step-by-step explanation:
A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.
So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.
109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)
In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.
$109.99 + $7.15 = $117.14
The total cost of the smart watch is $117.14
Answer:
$117.14
Step-by-step explanation:
I toke the quiz and a k12 student.
............................... 6/2(1+2)
Answer:
9
Step-by-step explanation:
6/2(1+2)
=3*3
=9
Answer:
6
Step-by-step explanation:
6/2 is 3 and 1+2 is three and 3 + 3=6
HELP ME PLEASE!!!! explain how to solve y^4-81/y-3
Answer:
If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable y .
y ≈ 2.45043159
Step-by-step explanation:
The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.
expression (y⁴ - 81) / (y - 3)
by simplification
factoring the numerator
y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)
factoring the denominator
y - 3
we get, (y² - 9)(y² + 9) / (y - 3)
simplifying
(y² - 9) = (y - 3)(y + 3)
(y - 3)(y + 3)(y² + 9) / (y - 3)
(y + 3)(y² + 9)
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Describe the end behavior of a 9th degree polynomial with a negative leading coefficient??
Answer:
Up left, down right
Step-by-step explanation:
First, polynomials with odd degrees will have end behaviors in two different directions.
Since the leading coefficient is negative, the end behavior will be up left and down right.
So, the end behavior is up left, down right.
The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
We have to determine
The end behavior of a 9th-degree polynomial with a negative leading coefficient??
What is a negative leading coefficient?If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.
What is the equation of 9th-degree polynomial?
The equation of the 9th-degree polynomial is;
[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]
The degree of the polynomial is 9 which is odd.
Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.
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what is the slope of the graph?
Answer:-6
Step-by-step explanation:
Select the recursive rule for a sequence where every term is the same.
(А)
f(1) = 11, f(n) = f(n - 1)-2
B
f(1)= 11, f(n)=f(n − 1) + 1
C с
f(1) = 11, f(n)=f(n - 1)-1
D
f(1)= 11, f(n) = f(n − 1)
Answer:
f(1)=11,f(n)=f(n-1)+1
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Answer:
13 percent
Step-by-step explanation:
Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.
What is decimal multiplier?A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.
Given,
First decrease = 7%
Second decrease = 20%
Let a number be x.
If x is decreased by 7% then the value of the number is
( (100 - 7) / 100) × x = 0.93 x
Again if 0.93 x is decreased by 20% then the value of the number ((100 - 20) /100) × 0.93 x = 0.744 x
Hence, The single decimal multiplier is 0.744.
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There are 12 players on a volleyball team, and they need to raise $325.20 for new uniforms. The team has already raised $114. If each player raises the same amount, how much more money does each player need to raise?
A $27.01
B
$17.60
C
$9.50
D
$27.10
Answer:
B: 17.60
Step-by-step explanation:
No one reads these but I did m a t h
PLEASE HELP!!!!!! Which system of equations represents the following situation?
Mrs. Stephens bought 3 containers of yogurt and 5 oranges for $2.79. The next week she bought 4 containers of yogurt and 7 oranges for $3.81, at the same prices.
PLEASE HELP WILL GIVE BRAINLEST
Answer:
it's the last option out of the list
Answer:
It is the last one (4th one).
I dont know how to write the question or answers
Answer:
i think i think its B
Step-by-step explanation:
What is the absolute value of 2.8?
Answer:
2.8
Step-by-step explanation:
It is the same
diving simply the following: 3 power 12÷3 power 7
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[tex] {3}^{12} \div {3}^{7} = [/tex]
[tex] {3}^{12} \times {3}^{ - 7} = [/tex]
[tex] {3}^{12 - 7} = {3}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
I think the answer is 243.
Step-by-step explanation:
hope that helps