Step-by-step explanation:
First, we have to prove that the sum of 3 consecutive integers is a multiple of 3.
Let x be the smallest of the 3 consecutive integers. We have (x + 1) and (x + 2) as our other consecutive integers.
Notice that x + (x + 1) + (x + 2) = 3x + 3 = 3(x + 1), which is a multiple of 3.
Hence we have proven our point. Back to the question:
The possible sum has to be a multiple of 3. Searching the options, only 44562 is a multiple of 3. (44562 / 3 = 14854) Hence 44562 is the answer. (C)
BBBBBBBVVVVVBBBBBBBBBBVV
Answer:
A. 8(4+2)
Step-by-step explanation:
have a nice day
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
Solve the following inequality.
-3.55g 5-28.4
Which graph shows the correct solution?
3 4
5 6
7
8
9 10 11 12 13
O
3
4 5
6
7
8
9 10 11 12 13
0
3 4
5 6
7
9 10 11 12 13
3 4 5 6
7 8
9 10 11 12 13
The graph that shows the solutions to the inequality is the last graph.
How to solve the given inequality?
Here we have the inequality:
-3.55g ≤ -28.4
To solve this, we need to isolate g, we can divide both sides by -3.55
g ≤ -28.4/-3.55 = 8
g ≤ 8
Then we must have a black dot at x = 8, and we shade the region to the left of it, meaning that the correct graph is the last one.
If you want to learn more about inequalities:
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p + 0.4 = −6 Solve for p.
Answer:
q=-6.4
Step-by-step explanation:
If you need proof or don't understand I can edit it just tell me.
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each! WILL GIVE BRAINLYEST!!!
Answer:
Where is the pic?
I will answer in the comments or edit my answer once u post the pic!
:D
I need the answers to these questions ASAP, thank you in advance!
Answer:
1. sliver's gym
2. sliver's gym
3. fitness planet
4. fitness:345 to sliver: 185
Step-by-step explanation:
1. with zero months
fitness planet cost is C = 22(0)+15= 15
sliver's gym cost is C = 15(0)+5= 5
2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships
3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.
4. Fitness planet C = 22(12)+15 = 345
Sliver's gym C = 15(12)+15 = 185
What is the equation of the line that passes through the point (8,-8) and has a
slope of – 12
Answer:
y + 8 = -12(x - 8)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (8, -8)
Slope m = -12
Step 2: Write Function
Substitute variables into general form.
y + 8 = -12(x - 8)
#5 Determine the x and y intercept of the following
equation.
2x + y = 6
Answer:
Step-by-step explanation:
y= -2x+6
Y intercept is 6
X intercept is 3
A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?
Answer:
Yes: $1.77
Step-by-step explanation:
20.24 - 4.49 = 15.75
15.75 - 3.99 = 11.76
Yes, there will be enough for the 9.99 thing
11.76 - 9.99 = 1.77
The man will have 1.77 at the end.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
On average, Cody runs 5 miles in 48
minutes. How fast should he plan to
run a 10 miles race if he maintains this
pace?
Answer:
6.25 Miles per hour speed
You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?
Answer:
$892.50
Step-by-step explanation:
10(y+3)-4y please help
Answer:6y+30
Step-by-step explanation:
simplify the expression :)<3
Answer:
6y + 30
Explanation:
10(y + 3) - 4y
Expand 10(y + 3): 10y + 30
10y + 30 - 4y
Simplify
= 6y + 30
- PNW
Which pair of operations are not inverses?
a. Taking the square root of a number and squaring
b. Addition and subtraction
c. Multiplication and division
d. Squaring and division
I need help with this question! Will mark brainliest :)
Answer:
y=3x-2
Step-by-step explanation:
you find the 3 (the slope) by seeing how much the y value grows
the -2 is the value of the y-intercept (more clear on a graph) but it's when the point is (0,__) so you subtract 3 from 1.
Answer:
The answer is the third option, y=3x-2
Explanation:
I'm horrible at explaining, but basically the y-axis is increasing by 3's so it's not negative, and to find the y-axis, we simply put a 0 ontop of the 1 in the x-axis, and across that we get -2 because the y-axis is increasing by 3's.
So sorry for my messy explanation, but I hope it helps :)
0.5 (n-4) -3 = 3 - (2n+3)
Answer:
n = 2
Step-by-step explanation:
0.5n - 2 - 3 = 3 - 2n -3
0.5n + 2n = 2 + 3 + 3 -3
2.5n = 5
n = 2
Answer:
Step-by-step explanation:
0.5n - 2 - 3 = 3 - 2n - 3
Solving like terms
0.5n - 5 = - 2n
-5 = - 2n - 0.5n
-5 = - 2.5n
-5/-2.5 = n
2 = n
Adopt me I’m trading dragon and fly ride bee if anyone has good offers
Answer:
Adopt me is good.....
But I don't have good offers
i'll offer for the dragon.
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75. How many pies were sold? How many cakes were sold?
Answer:
15 pies sold and 10 cakes sold.
Step-by-step explanation:
Let p be the number of pies sold. So, the number of cakes sold is 25-p.
5.99p + 9.99(25-p) = 189.75
5.99p + 249.75 - 9.99p = 189.75
4p = 60
p = 15
25 - p = 10
!!! Answer fasttttt plzzz!!!!!!! Will give 20 points and Brainlyest!!!! Which division problem does the number line below best illustrate?
Answer:
10/2
Step-by-step explanation:
first 10/2=5
you divide 10 into 2 until you get 5 of such groups
Can someone please help me and show step by step plz so I understand it
Answer:
x=7
Step-by-step explanation:
This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:
6x-7=4x+7
From there you can solve for x. I will write my process here:
2x-7=7
2x=14
x=7
Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:
We have established the following sequence
6, 12, 18,...
The given is the Arithmetic sequence with the nth term
[tex]a_n=6n[/tex]
d = 6 is a common difference.
Step-by-step explanation:
Given the formula
Sₙ = 3n² + 3n
Put n = 1 to determine the sum of the first term
S₁ = 3(1)² + 3(1)
S₁ = 3 + 3
S₁ = 6
As the sum of the first term includes the only first term, so
a₁ = 6
Put n = 2 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₂ = 3n² + 3n
S₂ = 3(2)² + 3(2)
S₂ = 12 + 6
S₂ = 18
as
S₂ = a₁ + a₂
substituting S₂ = 18, a₁ = 6
18 = 6 + a₂
12 = a₂
so
a₂ = 12
Put n = 3 to determine the sum of the two terms
Sₙ = 3n² + 3n
S₃ = 3(3)² + 3(3)
S₃ = 27 + 9
S₃ =36
as
S₃ = a₁ + a₂ + a₃
substitutingS₃ =36, a₁ = 6, a₂ = 12
36 = 6+12+a₃
a₃ = 36-6-12
a₃ = 18
Thus,
a₁ = 6
a₂ = 12
a₃ = 18
Therefore, the sequence becomes
a₁, a₂, a₃,...
6, 12, 18,...
Let us check the common difference 'd' between the adjacent terms
d = 12 - 6 = 6
d = 18 - 12 = 6
As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.
Thus,
d = 6Furthermore, the nth term of the Arithmetic sequence can be defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 6 and a₁ = 6
[tex]a_n=6\left(n-1\right)+6[/tex]
[tex]a_n=6n[/tex]
help pls ill mark u brainliest :(
Answer:
edfghjkoijuhgyfdsdfghjkl
Step-by-step explanation:
Write equivalent fractions for 2/3 and 3/5 using 15 as the common denominator.
The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:
Common denominator:The common denominator should be determined if the denominators are different. Creating a commonality that is the product of the two different denominators is by far the most straightforward means of achieving this. To use it, divide each fraction's numerators by the opposing denominator.[tex]\to[/tex] [tex]\frac{2}{3} - \frac{3}{5}\\\\[/tex]
[tex]\to[/tex] [tex]\frac{10-9}{15}\\\\[/tex]
[tex]\to[/tex] [tex]\frac{10}{15} - \frac{9}{15}\\\\[/tex]
So, the common denominator value by using the 15 is equal to
[tex]\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}[/tex]
Find out more about the common denominator here:
brainly.com/question/896263
I need help ASAP please
Answer:
g
Step-by-step explanation:
What is the value of y in the equation 2(2y − 12) = 0? (5 points) a 4 b 6 c 7 d 8
Answer:
A-6
Step-by-step explanation:
Answer:
ans 6
Step-by-step explanation:
by expanding the equation,
4y-24=0
4y=24
y=6
Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.
Answer:
Yes, he has exactly the right amount
Step-by-step explanation:
Buster- 20. 5 = 2 days 20.5+20.5+20.5+10.25= 71.75 for 7 days
Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days
71.75+56.25= 128oz
Brian will have exactly enough food for 7 days
Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?
Answer:
8 minutes
Step-by-step explanation:
48/3 = 16
That means he can download 16 songs in 1 minute.
128/16 = 8
This means he takes 8 minutes to download 128 songs.
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answer:
16:60 = 4/15
Step-by-step explanation:
Ashley just lit a new candle and then let it burn all the way down to nothing. Let LL represent the length of the candle remaining unburned, in inches, tt hours after candle was lit. A graph of LL is shown below. Write an equation for LL then state the slope of the graph and determine its interpretation in the context of the problem.OnLy answer, answers plz
The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Ashley just lit a new candle and then let it burn all the way down to nothing.
Let L represent the length of the candle remaining unburned, in inches, t hours after the candle was lit.
The slope is calculated as,
m = (0 - 7) / (7 - 0)
m = - 1 inch per hour
Then the linear equation is given as,
L = - t + 7
The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.
More about the linear equation link is given below.
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Daisy is calculating her assets. She has $10,000 in gold and silver jewelry, and $50,000 in her savings. She has paid $20,000 of her $150,000 house. She has also pain $10,000 of the $45,000 car she bought last year.
$80,000
$90,000
$285,000
$255,000
Answer:
10,000
Step-by-step explanation:
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse traveled the same distance each hour. To determine the distance that the mouse traveled each hour, Matt performed the calculations below.
Answer:
Step-by-step explanation:
Using the formula for calculating speed;
Speed = Distance/Time
Given
Speed = 3/24 miles per 3 hours
Required
Distance travelled in an hour
3/24 miles = 3 hours
x = 1 hour
Cross multiply;
3 * x = 3/24 * 1
3x = 3/24
Cross multiply;
3x * 24 = 3
72x = 3
x = 3/72
x = 1/24
Hence the distance travelled each hour is 1/24 miles
Answer:
c
Step-by-step explanation
make it simple