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
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Question is in Screenshot/Attachment! Hurry pls.
Answer:
[tex] y = 6x + 2 [/tex]
Step-by-step explanation:
To write a linear function to represent the situation in the form of y = mx + b, we need to find,
m = slope of the graph
b = y-intercept or starting value
✔️Finding slope (m) using two points on the line, (0, 2) and (1, 8):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{1 - 0} = \frac{6}{1} = 6 [/tex]
y-intercept (b) = 2 (i.e the value of y when x = 0, which is the starting value oflr the point where the line intercepts the y-axis)
Substitute m = 6, and b = 2 in [tex] y = mx + b [/tex]
[tex] y = 6x + 2 [/tex]
Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?
Answer: .8409 or 37/44
Step-by-step explanation:
Solve the equation. Then check your solution.
- 2/5 + a = 1/5
a. 3/5
b. - 1/5
c. 3/10
d. - 3/5
Answer:
3/5 is the correct answer of the question
Answer:
The answer is
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Let's solve this equation!
[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]
Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are Bobby and his little sister Emma?
Ron measured his garden to be 12‘ x 8 1/3‘. He plant vegetables in 3/4 of his garden. What is the area of his vegetable garden?
Answer:
4/4
Step-by-step explanation:
Hope this helped have an amazing day!
Find 83 1/3 % of 384
Also, side info the answer is not 319.872
Answer:
320
Step-by-step explanation:
First, convert the percent into a fraction.
250/3*100 = 250/300 = 5/6
5/6 of 384 is 5 * 64 = 320
Answer:
320
Step-by-step explanation:
(83 1/3)% of 384 = 320
simplifyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
x^2 - 11x + 30 = (x - 6)(x - 5)
x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 40 = (x + 8)(x - 5)
x - 2 = x - 2
Invert and multiply the right fraction.
(x - 6)(x - 5) (x - 2)
=========== x =======
(x - 2)(x + 2) (x + 8)(x - 5)
x - 5 on the top cancels with x - 5 on the bottom
x - 2 on the top cancels with x - 2 on the bottom left
So what's left?
(x - 6)
===============
(x + 2)(x + 8)
This is likely the answer.
Answer:
[tex]\frac{x-6}{x^{2} +10x+16}[/tex]
Step-by-step explanation:
to much to explain
Help this is really confusing i don’t know how
Enter the rate of change of the table below
This is the table
X. Y
1 73
2 96
3 119
4 142
What is the rate of change
Solve for x.
2(3x – 4) + x – 1= –16
Answer:
x=-1
Step-by-step explanation:
it easy fhfhfhrbf
Answer:
-1
Step-by-step explanation:
6x-8+x-1=-16
7x-9=-16
7x=-7
x=-1
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
Need help ASAP! I'll mark brainlyist
Step-by-step explanation:
(2+5i) equation goes to -20
(4+I) equation goes to -1
(3+2i) equation goes to 10
and the last one goes to 16
Find the value of x that makes the equation true:
x + 3 = 4
Answer:
x = 1
Step-by-step explanation:
Subtract 3 from both sides
x+ 3 - 3 = 4 - 3
gives x=1
LAST ONE !!! Ok here
Answer:
Market economy
Step-by-step explanation:
Once again this is because they are changing their prices and items for sale because of the changes in market.
How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole
Answer:
26ft
Step-by-step explanation:
This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )
Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%
Answer: 5.3%
Step-by-step explanation:
The formula to compute rate of return is given by :-
Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]
[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]
Hence, his rate of return = 5.3%
Find the reference angle for a rotation of 220°.
Answer:
ans is 40 degree
i hope this is correct
Solve #13 & #14 please ASAP!!!
Answer:
4th test is a great
Step-by-step explanation:
ok is the for this year as a family
24 = 3y Solve for y and show work
Answer:
y=8
Step-by-step explanation:
because 3×8 is 24
and 8 would be the missing number
OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Which graph below represents the solution to the inequality 6 x − 12 − x ≤ 3
Answer:
The solution is:
[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
The graph of the solution is attached below.
Both the number line and graph is attached below.
Step-by-step explanation:
Note: you missed to add the graph options. Therefore, I am solving the inequality and adding the corresponding graph which would anyways clear your concept.
Given the inequality expression
[tex]6\:x\:-\:12\:-\:x\:\le \:3[/tex]
Group like terms
[tex]6x-x-12\le \:3[/tex]
Add similar elements: 6x-x=5x
[tex]5x-12\le \:3[/tex]
Add 12 to both sides
[tex]5x-12+12\le \:3+12[/tex]
simplify
[tex]5x\le \:15[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}\le \frac{15}{5}[/tex]
simplify
[tex]x\le \:3[/tex]
Therefore, the solution is:
[tex]6x-12-x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
The graph of the solution is attached below.Both the number line and graph is attached below.
COLOR THEME
Q ZOOM
ADD NOTE
QUESTION GUIDES
3. An architect built a scale model of an office building using a scale in which
2.5 inches represents 20 feet. The height of the building is 240 feet.
12 in
What is the height of the scale model in inches?
30 in.
Ο Ο Ο Ο
80 in.
25 in.
CLEAR ALL
REVIEWS
NEXT >
10
Os
INTL 3.59
(PREVIOUS
its
Answer:
30 inches
Step-by-step explanation:
240/20=12
12x2.5=30
Answer:
30 inches jrjdbdbrbejjr
Please need help on this one
Anyone can answer?? if u can thank u soooo much it means the world to me
Answer:
Tulips• 7, 14, 21, 28 and 35.
Carnations• 3, 6, 9, 12 and 15.
Other:
Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!
Round 48.47 to the ones place
Answer:
48.7 I think
Step-by-step explanation:
hears the sender buddy
Answer:
48.5 the 7 is close to 10 so it rounds the 4 to 5
can someone show me how to do ones like this two
how to graph y+9= -3x and find x-intercept
WILL MAKE BRAINLIST
The booster club needs to raise at least $5000 for new football uniforms. So far they have raised 1,280 enter an inequality to find the a average amounts each of the 97 members can raise to meet the club's objectives
Answer:
Step-by-step explanation:
5000[tex]\geq[/tex]1280+97x
Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving
Answer:
18 + m = 49 or 49 = 18 + m
Step-by-step explanation:
P.S Can I have brainliest?
In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house. Round your answer to the nearest dollar. (Let x = 0 represent 2000)
Answer:
12500 dollars/year
Step-by-step explanation:
A linear equation i in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change and b is the initial value of y (i.e. x = 0).
Let x represent the year and y represent the cost of the house. Given that x = 0 represent 2000, hence we can represent the problem in the form (x, y) as:
(7, 120000) and (17, 245000). The annual rate of change is gotten using:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{245000-120000}{17-7} \\\\m=12500\\\\m=125000\ dollars\ per \ year[/tex]