The three numbers are 93,94,95
The three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96
What are consecutive numbers?As the term consecutive implies, the numbers who come one after the other are called consecutive.
In case of consecutive even numbers, those even numbers who are adjacent to each other.
Example: 2,4,6 are consecutive events but 2,6,12 are not as there are events between 2 and 6 and between 6 and 12, so they are not closest to each other.
Let the first even of those three consecutive numbers whose sum is 282 be denoted by [tex]2n[/tex]
Then, we get the rest of the two evens as [tex]2n + 2, 2n+4[/tex]
Since their sum is 282, therefore,
[tex]2n + (2n+2) + (2n+4) = 282\\2n +2n + 2n + 2 + 4 = 282\\6n + 6 = 282\\\\\text{Subtracting 6 from both the sides}\\\\6n = 282 - 6 = 276\\\\\text{Dividing both the sides by 6, we get}\\\\n = \dfrac{276}{6} = 46[/tex]
Thus, the three consecutive evens whose sum is 282 are:
[tex]2n = 2(46) = 92\\2n + 2 = 94\\2n + 4 = 96[/tex]
Therefore, the three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96
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3.6 divided 4 I want the steps
3.6 /4
= (3.6/4) 10
= 36/40
= 0.9
Answer 0.9
Substitution method
3x - 4y = 18
2x + y = 1
Wayne has 6 times the number of songs on an MP3 player as his mom.If wayne has 1800 songs ,what equation could you write to find the number of songs.his mom has on her MP3 player.
Answer:
1,800/6
Step-by-step explanation:
if he has 6 times more songs than his mum & he has 1,800 in total his mum has 1/6 of 1,800 e.g. 1,800/6
Which expression represents the word phrase 6 decreased by one-third of a number? a. 6+13−x b. 6+13+x c. 13⋅x−6 d. 6−13⋅x
The expression that represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x
Based on the information given, we have to subtract (1/3 × x) from 6. This will be:
= 6 - (1/3 × x)
= 6 - (1/3x)
= 6 - 1/3x
Therefore, the expression represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x
In conclusion, based on the above calculations, it can be inferred that the correct option is D.
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Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
one cantaloupe cost $2 how many cantaloupes can you buy for $6
3 because 6 divided by 2 equals 3
Cos xcos y=1/2(sin(x+y)+ sin(x-y))
Taking Rhs
1/2 [sin(x+y)+ sin (x-y)]
using sinA + sin B = 2 cos (A+B)/2 cos( A - B)/2
1/2 [ 2 Cos ( x+y+x-y)/2 . Cos (x+y-x+y)/2]
=Cos 2x/2. Cos 2y/2 = Cos x . Cos y
Hence true
A recipe calls for 2 3/4 cups of milk and if the recipe is tripled how much milk is needed
Here are two ways of solving this problem.
Method A. Using fractions.
You will need 3 times as much milk, so you need to multiply 3 by 2 3/4.
First, convert 2 3/4 into an improper fraction.
2 3/4 = 2 + 3/4 = 2/1 + 3/4 = 8/4 + 3/4 = 11/4
Now multiply 11/4 by 3.
3 * 11/4 = 3/1 * 11/4 = 33/4
Now convert 33/4 into a mixed numeral.
33/4 = 8 1/4
Answer: 8 1/4
Method B. Using decimals.
You will need 3 times as much milk, so you need to multiply 3 by 2 3/4.
First, convert 2 3/4 into a decimal number.
2 3/4 = 2.75
Now multiply 2.75 by 3.
3 * 2.75 = 8.25
Now convert 8.25 into a mixed numeral.
8.25 = 8 + 0.25 = 8 + 1/4 = 8 1/4
Answer: 8 1/4
Correct answer is: [tex]8\frac{1}{4}[/tex] cups milk needed if the recipe is tripled.
Solution:-
Given that a recipe calls for [tex]2\frac{3}{4}[/tex] cups of milk.
Let us convert that mixed fraction to proper fraction.
[tex]2\frac{3}{4}=\frac{2*4+3}{4}=\frac{11}{4}[/tex]
If the recipe is tripled, milk also should be tripled.
Hence amount of milk = [tex]3*\frac{11}{4}=\frac{33}{4}=8\frac{1}{4}[/tex]
FIRST ONE TO ANSWER GETS A BRAINLY!!! PLEASE HELP!!!
The table shows the relationship between the cost of a t-shirt to a store and the retail price that the store charges for t-shirts after a markup
a. Is the relationship propotional. Explain how you know.
b. Write and equation that represents the relationship.
c. Predict the retail price that the store will charge for a t-shirt that cost the store 9.50. Justify your reasoning.
Table:
Cost($), x Retail Price ($), y
6.00 7.50
7.00 8.75
8.00 10.00
9.00 11.25
Answer:
Step-by-step explanation:
8.00 to 10.00 yes the relationship is proportional because it is the eniquality between two ratios 8.00 and 10.00
Final answer:
This detailed answer explains the proportional relationship between the cost and retail price of t-shirts in the given data table, provides the equation representing the relationship, and predicts the retail price for a t-shirt costing the store $9.50.
Explanation:
a. Is the relationship proportional? Yes, the relationship is proportional because the ratio between the cost and the retail price remains constant. This can be seen by calculating the cost-to-price ratios for each pair of values. If the ratios are the same, the relationship is proportional.
b. Write an equation that represents the relationship: The equation for the relationship is y = 1.25x + 0.75 where y represents the retail price and x represents the cost to the store.
c. Predict the retail price for a t-shirt that cost the store $9.50: Substituting $9.50 for x in the equation gives us a predicted retail price of $11.88. The store is likely to charge $11.88 for a t-shirt that cost them $9.50.
Original price 89.00 mark down 33%
You will mark down the product $29.37. So it would be 89.00-29.37=59.63
15 POINTS PLEASE HELP as soon as ya'll can thanks so much!
Hey there!
Answer :-
The answer is -0.4
Step-by-step explanation :-
... 2k + 9 = 7 - 3k
... 5k + 9 = 7
... 5k = -2
... k = -2/5
... k = -0.4
Hope my answer helps!!
what best approximates the intervals on which the graph of the function f(x)=x^4+2x^3-5x^2-6x is decreasing?
Solution: The function [tex]f(x)=x^4+2x^3-5x^2-6x[/tex] is decreasing on [tex](-\infty ,-2.303]\cup [-0.5,1.303][/tex].
Explanation:
The given function is [tex]f(x)=x^4+2x^3-5x^2-6x[/tex].
differentiate with respect to x.
[tex]f'(x)=4x^3+6x^2-10x-6[/tex]
To find the extreme points put [tex]f'(x)=0[/tex] and find the value of x.
[tex]f'(x)=4x^3+6x^2-10x-6=0[/tex]
[tex]2(2x^3+3x^2-5x-3)=0[/tex]
By hidden trial [tex]\frac{-1}{2}[/tex] is the root of the equation and [tex](x+\frac{1}{2} )[/tex] is factor of the equation.
[tex]2(x+\frac{1}{2} )(2x^2+2x-6)=0\\4(x+\frac{1}{2} )(x^2+x-3)=0\\4(x+\frac{1}{2} )(x+2.303)(x-1.303)=0[/tex]
The extreme points of graph [tex]x=-0.5, -2.303, 1.303[/tex]
The intervals are [tex](-\infty ,-2.303]\cup[-2.303,-0.5]\cup [-0.5,1.303]\cup [1.303,\infty )[/tex].
Put any value from each interval in [tex]f'(x)=4x^3+6x^2-10x-6[/tex].
If the value of [tex]f'(x)>0[/tex], then the function increase on that interval.
If the value of [tex]f'(x)<0[/tex], then the function decrease on that interval.
Since the value [tex]f'(x)<0[/tex] on [tex](-\infty ,-2.303][/tex]. and [tex][-0.5,1.303][/tex], therefore function [tex]f(x)=x^4+2x^3-5x^2-6x[/tex] is decreasing on [tex](-\infty ,-2.303]\cup [-0.5,1.303][/tex].
find three consecutive even integers such that the sum of twice the smallest and three times the largest is 42
[tex]2n,2n+2,2n+4\\\\\\2\cdot2n+3(2n+4)=42\\\\4n+6n+12=42\\\\10n=30\\\\n=3\\\\2n=2\cdot3=6\\2n+2=6+2=8\\2n+4=6+4=10[/tex]
6,8,10
What is the solution to the system of linear equations?
(–3, 0)
(–3, 3)
(0, 2)
(3, 1)
(0,2) Usually it is where they intersect on the graph. Hope this helps!
Answer: (0, 2)
Step-by-step explanation:
On Cartesian plane, when two lines drawn by using system of linear equations are intersect at a point , then that point is known as the solution of the system of the two linear equations .
In the given graph , the two lines are intersecting at (0,2) then the solution of the system of linear equations.
Hence, the solution to the system of linear equations = (0,2).
I need help someone
answer plz answer this question
No he did not find the right question
no he didn't find the right one
order the following numbers from least to greatest 9%,1/12,17%,1/25
aniel is 16 years old. His age is twice his brother's age, which is represented by x. Write and solve an equation to determine the age of Daniel's brother. we
Write an equation.
16=2x
x=8
Daniel's brother is 8 years old.
Using the concept of proportional relationship, the age of Daniel's brother is 8 years
Given the Parameters :
Brother's age = xDaniel's age = 16Daniel's age = 2 × brother's age
Hence,
16 = 2 * x
16 = 2x
Divide both side by 2
x = 16/2
x = 8
Hence, the brother's age is 8
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6.4n-10=4.4n+6
plz show me the work plz
The solution of the given expression is n = 8.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that expression as :
⇒ 6.4n - 10 = 4.4n + 6
Rearrange the likewise terms in the above expression,
⇒ 6.4n - 4.4n = 6 + 10
Apply the subtraction operation in the terms,
⇒ 2n = 16
⇒ n = 16/2
Apply the division operation in the terms,
⇒ n = 8
Therefore, the solution of the given expression is n = 8.
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19. Which of the following is the correct Ohm's law formula used to find resistance? A. R = I/E B. R = E/I C. R = PI D. R = EI
Answer:
Ohm's Law is E = I*R; the version needed to find resistance is R = E / I (answer B)
Step-by-step explanation:
For this case we want to apply Ohm's Law to find resistance.
By definition, Ohm's Law states that:
[tex]E = I * R\\[/tex]
Where:
E: Voltage
I: Current
R: Resistance
Clearing the Resistance we have to:
[tex]R = \frac{E}{I}\\[/tex]
Answer:
The Resistance is given by: [tex]R = \frac{E}{I}\\[/tex]
Option B
Need help with these please. My answers were wrong.
B. First and Second St appear to be parallel
write 4.32 in word form
four point thirdly two
Please Use the factor theorem to determine whether v + 5 is a factor of v^4 + 16v^3 + 18v^2 -725
A. Yes
B. No
Substituting [tex]\( v = -5 \)[/tex] into the polynomial yields -650, not zero. Thus, [tex]\( v + 5 \)[/tex] is not a factor. Answer: B. No.
To determine whether [tex]\( v + 5 \)[/tex] is a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \)[/tex], we can use the Factor Theorem. According to the Factor Theorem, if [tex]\( v + 5 \)[/tex] is a factor of the polynomial, then [tex]\( v = -5 \)[/tex] must be a root (or zero) of the polynomial.
Step 1: Substitute [tex]\( v = -5 \)[/tex] into the polynomial.
[tex]\[ (-5)^4 + 16(-5)^3 + 18(-5)^2 - 725 \][/tex]
Step 2: Calculate the value.
[tex]\[ 625 - 2000 + 450 - 725 \][/tex]
[tex]\[ = -650 \][/tex]
Since the value is not zero, [tex]\( v + 5 \)[/tex] is not a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \).[/tex]
So, the correct answer is:
B. No
3 1⁄8 − 1 7⁄8 =
what is the answer
2 6/8 i think hope this helps
Solve the following systems of equations algebraically. Verify your solution either graphically or by using matrices.
3x - y=0
5x + 2y=22
3x - y=0
5x + 2y=22
Solve the first equation for y
3x - y =0
-y = -3x
so y = 3x
Now plug in y=3x in second equation
5x + 2y=22
5x + 2(3x) =22
5x + 6x = 22
11x = 22
Divide by 11 on both sides
x= 2
Plug in 2 for x and find out y
y = 3x
y = 3(2) = 6
Solution is (2,6)
The graph is attached below to verify the solution
Both lines intersects at (2,6)
so our answer is correct.
Solve the inequality, -4 less than 4(6y-12)-2y
-4 < 4(6y - 12) - 2y
Distributive property.
-4 < 24y - 48 - 2y
Combine like terms.
-4 < 22y - 48
Add 48 to both sides.
44 < 22y
Divide both sides by 22.
2 < y
The value of y is greater than the value of 2.
Answer:
y<2 i got it right on my test
Step-by-step explanation:
What is the fourth term of the sequence 4, 8, 12, 16, 20, 24, . . .?
The fourth term of the arithmetic sequence 4, 8, 12, 16, 20, 24, ... is 16, which can be found either by adding the common difference to the third term or by using the formula for the nth term of an arithmetic sequence.
Explanation:The fourth term of the sequence 4, 8, 12, 16, 20, 24, ... can be determined by looking at the pattern of the sequence. This sequence is an arithmetic sequence, where each term increases by the same amount, which is 4 in this case. To find the fourth term, we can simply add the common difference (4) to the third term (12), which gives us 16. Alternatively, we can use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number. Using this formula with a1 = 4, d = 4, and n = 4, we again get the fourth term as 16.
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HELP ASAP PLEASE!
10 points for the answer !
399 because k^2 is 81 and multiply that by 5, you get 405 and subtract 6 to get 399
Answer,
So, basicly they are asking you to imput, "9" for where the letter "K" is.
Let's do that,
5 * 9^2 - 6
Now we will simplify 9^2,
9 x 9 = 81
Simplify,
5 x 81 = 405
Now, subtract
405 - 6 = 399
help me!!!!!!!!!!!!!!!!!!!!!!!!
The error is in Step 3 as you are dividing a negative number by a positive number so the answer should be negative. In this case, the answer is somehow positive so, Step 3 is wrong. Hope I could help!
Hasan has 18 3/4 yards of fabric. it takes 3 1/6 yards to make a pillowcase. hasan plans to amke as many pillowcases as he can. how many yards of fabric will be left over?
Final answer:
To make as many pillowcases as Hasan can with 18 3/4 yards of fabric, we divide the total amount of fabric by the amount needed for one pillowcase and then find the remainder.
Explanation:
To find out how many pillowcases Hasan can make, we need to divide the total amount of fabric he has (18 3/4 yards) by the amount of fabric needed to make one pillowcase (3 1/6 yards).
First, let's convert 18 3/4 yards to an improper fraction: 18 3/4 = 75/4.
Next, let's convert 3 1/6 yards to an improper fraction: 3 1/6 = 19/6.
Now, we can divide 75/4 by 19/6 using the division of fractions: (75/4) ÷ (19/6) = (75/4) x (6/19) = 450/76 = 75/19.
So Hasan can make 75/19 pillowcases. To find out how many yards of fabric will be left over, we need to subtract the amount used for the pillowcases from the total amount of fabric. Let's multiply the number of pillowcases (75/19) by the amount of fabric used per pillowcase (3 1/6 yards): (75/19) x (19/6) = 75/6 = 12 3/6 yards.
Therefore, Hasan will have 12 3/6 yards of fabric left over.