Step-by-step explanation:
[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]
therefore it's divisible by 31
[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]6^7 - 6^6 + 6^5[/tex] s
Taking common factors.
[tex]6^5[/tex] (6² - 6 + 1)
[tex]6^5[/tex] (36 - 6 + 1)
[tex]6^5[/tex] x 31
This is divisible by 31.
Thus,
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time
Answer:
Y=62x
Step-by-step explanation:
The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.
Given :
Car X travels 186 miles and 3 hours.
The following steps can be used to determine the equation of the line that describes the relationship between distance and time:
Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.
Step 2 - The speed is given by the ratio of distance to time.
[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]
Step 3 - Now, put the value of distance and time in the above equation.
[tex]\rm Speed = \dfrac{y}{x}[/tex] ---- (1)
Step 4 - According to the given data the speed is given by:
[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]
Step 5 - Now, put the value of speed in equation (1).
[tex]\dfrac{y}{x}= 62[/tex]
y = 62x
The equation of the line that describes the relationship between distance and time is (y = 62x).
For more information, refer to the line given below:
https://brainly.com/question/23774048
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
Learn more:
https://brainly.com/question/18057159
1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(
Answer:
Chicken nugget
Step-by-step explanation:
Use mental math to solve the equation.
5) C-(-15) = 38
7) Write a pairs of negative intogoro
HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.
Answer:
15
Step-by-step explanation:
18/3=6
15/3=5
Answer:
15
Step-by-step explanation:
If the ratio is 6:5 and we know the boys are 18, we have 18:?
18/6=3, so we have to do 5*3. 5*3=15.
The ratio is 18:15, the number of girls in the classroom is 15
In the diagram m<3 = x +30 and m<4= 2x - 80. What is the measure of angle 3?
A)50
B)80
C)110
D)140
Answer:
110,........................
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?
Answer:
He sold 17 shirts at the festival.
The total number of t-shirts Felipe sold is 17 t-shirts.
Consider that the number of t-shirts Felipe sold be "x".
Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.
His total profit is given as $125.
So we can write the following equation:
5x + 40 = 125
Subtracting 40 from both sides;
5x = 85
Dividing both sides by 5, we get:
x = 17
Therefore, Felipe sold 17 t-shirts.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!
Answer: can it be a bit clearer pls?
Step-by-step explanation:
Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20
Answer:
D. 15/20
Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.
Answer:
D 15/20
Step-by-step explanation:
What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82
Answer:
9.81
Step-by-step explanation:
You have to add them up: 4.3943 +
5.4157
----------
9.8100
What is the answer to this radical functions equation ASAP
if f = 3, g = -4 and h = -5
[3-h]+13
Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)
Answer:
6(7+)
Step-by-step explanation:
1) Start by solving the original equation
42 + 12 = 54
2) Solve the other equations until you find a match
2a) Start with what's in the parenthesis
7(6+5) = 7(11) = 77
2b)
2(40+6) = 2(46) = 92
2c)
6(7+2) = 6(9) = 54
This is your answer
2d)
10(32+2) = 10(34) = 340
Answer: 6(7 +2)
Step-by-step explanation:
Calculate 42 + 12, which is 54.
Calculate 7(6 + 5), which is 7 * 11 = 77.
Calculate 2(40 + 6), which is 2 * 46 = 92.
Calculate 6(7 + 2), which is 6 * 9 = 54.
Calculate 10(32 + 2), which is 10 * 34 = 340.
And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.
(7+ 1 4) + 6 = 7 ( ■ + 1 6)
What is the vertex of the following: y=1/4x^2+2x+6
Answer:
Yea i definitly just lost brain cells
Step-by-step explanation:
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
Answer:
the 3rd one im pretty sure
Step-by-step explanation:
Answer:
the 3rd one <3
Step-by-step explanation:
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?
Answer:25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3/12 as a present is 25%
Iooooooooooooookkn ooooo
ooooo nkkooooooooooooooI
Answer:
ok
Step-by-step explanation:
ok
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
6(x−2)=−18
x=?
Anybody know what X is equal to?
If you know a little bit about this question, thank you for your help.
(If the answer is right, this person will be the smartest.)
Do any of you guys know the answers to these! Need help
Answer:
(16) 0 (17) 36
Step-by-step explanation:
8-3 = 5
5x5 = 25
25 / 25 = 1
1 - 1 = 0
and 81 / 9 x 4 = 9 x 4 = 36
Answer:
0 and 36
Step-by-step explanation:
16
25 ÷ (8 - 3)² - 1 ← evaluate parenthesis
= 25 ÷ 5² - 1 ← evaluate exponent
= 25 ÷ 25 - 1 ← evaluate division
= 1 - 1
= 0
17
[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36
how do you find a slope
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
2 L = _____ ml can someone help? :((
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
Jake decides to mow lawns for the first two weeks in June to earn money to buy a new bicycle . If the bicycle cost $153.73 and jake chargers $10.25 to mow each lawn, how many lawns will he need to mow in two weeks to buy the bicycle?
Answer:
14
Step-by-step explanation:
28.2% of 92 this is for math
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."
What’s my number? Show your work and explain how you know your answer is correct.
Answer:
The number is 24
Step-by-step explanation:
This can be written algebraically as: [tex]\frac{x}{4}+7=13[/tex]
Solve for x, in which the steps are shown below.
Thanks for the question! :)
if i give Mr_MunchlyYumYum 800 bobux and gave him an extra 372 bobux and then cool nbayoungboy182 saw the bobux and took 1000 bobux and then bigwetslimyfart took 341 bobux from nbayoungboy182. nbayoungboy182 gives Mr_MunchlyYumYum 532 bobux. how much bobux does Mr_MunchlyYumYum have? (answer question for 46586373687634587476523498567823686857643872 bobux)
Answer:
EZ! 362 bobux
GO TO FLIMFLAM.SHOP