Answer:
★ Divisibility rule for 3 -
If the sum of all the digits divisible by 3 then the number is divisible by 3.
Here, we take an example for better understanding -
Example 1 - 3525
Add up the digits - 3 + 5 + 2 + 5
→ 15
As, 15 is divisible by 3. So, 3525 is a factor of 3.
★ Divisibility rule for 6 -
A number is to be divisible by 6 , if the number is also divisible by 2 and 3.
Example 2 - 132
Add up the digits = 1 + 3 + 2 = 6
As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.
★ Divisibility rule for 9 -
If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.
Example 3 - 1052
Add up the digits - 10 + 5 + 2 = 17
As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.
I think of a number.
I multiply this number by 8, then subtract 66
The result is twice the number that I was thinking of.
What is the number I was thinking of?
Answer:
11
Step-by-step explanation:
Set up:
8x - 66 = 2x -> Subtract 2x from either side
8x - 2x = 66 -> Simplify
6x = 66 -> Divide either side by 6
x = 66/6 = 11
The number is 11
Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler will supply 56 routers at $46 each and 70 at $50 each. Assuming that the supply and demand functions are linear, find the market equilibrium point.
Ten years ago, Lisa bought a hair salon for 182000 dollars. She built up the business and it is now
worth nine times what she paid for it. She decides to sell half of the business to a friend, and they
become partners. Express the amount Lisa's friend must pay Lisa to buy half the business.
Answer: 819,000
Step-by-step explanation:
182000×9=1638000÷2=819000
Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
What do we mean by the worth of an object?The worth of an object is the price of that object currently. The worth of almost every object in this world is variable (not fixed) with time and use.
How do we solve the given question?In the question, we are said that ten years ago, Lisa bought a hair salon for $182,000. Her business is now worth nine times what she paid.
∴ Worth of the business 10 years ago = $182,000.
Worth of the business now = 9*$182,000 = $1,638,000
We have been informed that Lisa has decided to sell half of her business to a friend. We are asked to find the amount her friend needs to pay, to become her partner.
As we have been told, she is selling half of her business, her friend will need to pay half of her business' worth at the present date.
∴ Her friend pays the amount = 1/2 * worth of the business now
or, Her friend pays the amount = 1/2 * $1,638,000
or, Her friend pays the amount = $819,000.
∴ Lisa's friend must pay Lisa $819,000 to become her partner in the business, half the worth of Lisa's business today.
Learn more about the worth of an object at
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Find the equation of the line
passing through the points. (5, 2) and (10, 6).??
please help me
find dy/dx using implicit differentiation
e^((x+y)/4) +tan(ln(x/y)) = e^sqrt(y)
Step-by-step explanation:
Taking log both sides :
[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]
Differentiate both sides w.r.t x :
[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]
Rearranging :
[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]
(You can rearrange it further)
Can someone explain how to solve these? I have 10 questions I need to answer for problems like this & I can't go on until I solve it, so I just need the answer for this one and how to solve it. I need it finished fast because I need to bring up a low grade. Any help would be appreciated.
the national debt is $22,000,000,000,000 and the population is 280,000,000. what is the amount of debt per person?
Answer:
78571.43 dollars
Step-by-step explanation:
brainliest appreciated
Is everything correct and how do you do the last part?
Answer:
5 terms
Step-by-step explanation:
Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.
1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005
5ⁿ⁺¹ (n+1)! ≥ 200,000
Use trial and error to find the value of n (notice that n starts at 0).
n = 0, 5ⁿ⁺¹ (n+1)! = 5
n = 1, 5ⁿ⁺¹ (n+1)! = 50
n = 2, 5ⁿ⁺¹ (n+1)! = 750
n = 3, 5ⁿ⁺¹ (n+1)! = 15,000
n = 4, 5ⁿ⁺¹ (n+1)! = 375,000
n = 4 is the fifth term. So it takes 5 terms.
−18x+21>−15 OR 20x−13≥27
Answer:
I dont know what is your question, but I solved this.
Step-by-step explanation:
-18x>-15-21
-18x>-36
x<2
20x>=27+13
20x>=40
x>2
Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have? Explain your answer to a family member or friend
Answer:
100 pennies
Step-by-step explanation:
each stack is 10 pennies. brad has 4 stacks which equal 40 and has 6 more stack which qual 60. 40+60=100
The number of pennies he has is 100 pennies.
Given,
Brad has groups of 10 pennies.
Brad counts 40, but he has 6 more stacks to count.
We need to find how many pennies he has.
How do we find the total number of given groups?If each group has 20 items the total number of items for M groups is:
= M x 20
We multiply the total number of groups with the number of items in each group.
We have,
1 group = 10 pennies
Brad counts 40 and 6 more stacks to go.
This means 4 groups have been counted.
= 4 x 10
= 40 pennies
Now 6 more stacks:
= 6 x 10
= 60 pennies
Now,
Total number of pennies:
= 40 + 60
= 100 pennies
Thus the number of pennies he has is 100 pennies.
Learn more about percentage errors in counting pennies here:
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5) Boat World charges an initial price of $20 plus $12.50 per hour for canoe rentals, which is
represented by the expression 20 + 12.5h.
• Complete each statement to describe the terms.
Answer:
The variable "h" represents: The number of hours
The constant 20 represents: the initial rental price
The variable term 12.5h represents: the hourly rental amount
Step-by-step explanation:
round 649,418 to the nearest hundred
Answer:
649,400
Step-by-step explanation:
Answer:
649,420
Step-by-step explanation:
Rita charges $50 for 5 tutoring sessions. What is the cost per session?
Answer:
10
Step-by-step explanation:
Answer:
10$
Step-by-step explanation:
If she charges 50$ per 5 session then you need to do is
50 ÷ 5 = 10
Why?
Because you can to break it down to one session.
Simultaneous Equations
2x+3y=3750, 4x+y=4250
The answer is x=900 and y=650
I just need the steps
Answer:
It's long but you use Substitution!
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=3750;4x+y=4250
Rewrite equations:
4x+y=4250;2x+3y=3750
Step: Solve 4x+y=4250 for y:
4x+y = 4250
4x+y+−4x = 4250+−4x (Add -4x to both sides)
y = −4x+4250
Step: Substitute −4x+4250 for y in 2x+3y = 3750:
2x+3y=3750
2x+3(−4x+4250)=3750
−10x+12750=3750 (Simplify both sides of the equation)
−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)
−10x =−9000
−10x = −9000 (Divide both sides by -10)
−10 −10
x=900
Step: Substitute 900 for x in y = −4x+4250:
y=−4x+4250
y=(−4)(900)+4250
y=650 (Simplify both sides of the equation)
Answer:
x=900 and y=650
please i need this now
6. Melanie ran the 400-meter dash six times during track practice. Her times
are shown in the table to the left. If she drops her slowest time, which
measure of center is affected the most, mean or median? Explain.
the table to the left
400-Meter Dash
Attempt Time (s)
1 63.5
2 67.9
3 64.3
4 63.6
5 65.4
6 64.7
2nd question
Directions: Determine which measure of center best represents the data.
Justify your selection, then find the measure of center.
7. The number of wins by a hockey team in the last 8 years: {56, 45, 26, 48, 54,
52, 49, 38} Mean or Medan or Mode
Answer:
(a) Mean
(b) Mean
Step-by-step explanation:
(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.
(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answer:
3.33 Yards
Step-by-step explanation:
divide 10 by 3
Find the distance between the points (-4,0) and (2,1). If necessary,round to the nearest 10th.
Answer:
square root of 37
Step-by-step explanation:
you would use the formula (X2-X1) squared + (Y2-Y1) squared
is 1.36 a rational number or irrational number
Answer:
No an irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers . -1.36 can be expresed as -136/100
Answer:
Rational!
Step-by-step explanation:
Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. So, any terminating decimal is a rational number. Any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.
I hope this helps you understand what a rational number is! Have a wonderful day!
Step by step of how to find f(g(x)) and g(f(x))
Answers:
[tex]f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}[/tex]
===============================================
Work Shown:
[tex]f(x) = \sqrt[3]{x}\\\\\\f(g(x)) = \sqrt[3]{g(x)}\\\\\\f(g(x)) = \sqrt[3]{\frac{x+1}{x^3}}\\\\\\[/tex]
The idea is to replace every x with g(x). Then you'll plug in the definition of g(x).
---------------------------------
Similarly,
[tex]g(x) = \frac{x+1}{x^3}\\\\\\g(f(x)) = \frac{f(x)+1}{(f(x))^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{(\sqrt[3]{x})^3}\\\\\\g(f(x)) = \frac{\sqrt[3]{x}+1}{x}\\\\\\[/tex]
The perimeter of a rectangular solar panel is 540 cm. The ratio of the length to the width is 3 : 2. What are the length and width?
Total number of parts = 3 + 2 = 5 parts
[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]
[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]
Then , the length of this triangle :
[tex]54 \times 3 \: m[/tex]
[tex] = 162 \: m[/tex]
Then , the width of this triangle will be :
[tex]54 \times 2 \: m[/tex]
[tex]108 \: m[/tex]
∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .
PLZ HELP 100PTS!!! An explanation is welcome
Find the value of t, when d(t)=-24
d(t)=t/2
Answer:
[tex]t=-48[/tex]
Step-by-step explanation:
We have the function:
[tex]d(t)=\frac{t}{2}[/tex]
And we want to find t when:
[tex]d(t)=-24[/tex]
So, let's substitute -24 for our first equation and solve for t:
[tex]-24=\frac{t}{2}[/tex]
Multiply both sides by 2:
[tex]t=-48[/tex]
So, the value of t when d(t)=-24 is -48.
Answer:
Step-by-step explanation:
pls help rn if possible
Answer:
I would type these in Math-Way, then select Solve the system of equations (or inequalities, I forget which one). (4, -1, 0) would be the answer.
HELP ME QUICK PLEASEE!!
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 3 4 5 6
Output (y) 3 4 5 6
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) - 2x + 16. Which relation has a greater value when x = 6? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) - 40? (5 points)
(10 points)
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
__
B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
__
C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
I WILL GIVE BRAINLIEST TO WHOEVER HELPS ME!!
Answer:
it changes by -4 pounds each month
Step-by-step explanation:
20 pounds in 5 months
20/5 is 4 pounds per month
the elephant loses 4 pounds a month
Some students are planning to sell gourmet popcorn at a school fundraiser. They plan to offer cheese popcorn and peanut butter popcorn. The table shows the cost of the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
The students want to make and sell 100 containers of popcorn. They can spend at most $50 for the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
Answer : 5 Step-by-step explanation:
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
what is 3/4r+2r+1/2r
There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?
A. 20
B. 30
C. 40
D. 50
Answer:Its B I got It right on my test
Step-by-step explanation:
2c + y = 7 solve for y
Answer:
y = 7 - 2c
Step-by-step explanation:
Step 1:
2c + y = 7 Equation
Step 2:
y = 7 - 2c Subtract 2c on both sides
Answer:
y = 7 - 2c
Hope This Helps :)
Answer:
y = 7 - 2c
Step-by-step explanation:
2c + y = 7
=> y = 7 - 2c