Answer:
We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.
if the sum is a multiple of 3 + 1 (like 3*n + 1) the remainder is 1
if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.
Then we need to find the sum of all the single digits in the number:
101102103104...149150
the sum of all the single digits is:
( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)
The method i used is:
(from 101 to 110)
first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:
1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46
From (111 to 119)
first we add the sum of the hundreds and tens digits 10 times, and then the units:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )
now if we also add the number 120 (so we have the range 111 to 120)
the sum becomes:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2
2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46
You already can see the pattern here.
in the range from (121 to 130) we will have the sum equal to 30 + 46
in the range from (131 to 140) we will have the sum equal to 40 + 46
in the range from (141 to 150) we will have the sum equal to 50 + 46
Then the total sum is:
(10 + 20 + 30 + 40 + 50) + 5*46 = 380
We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)
Then the remainder is 0.
if you help me you are a sweet sweet sweet angel
Answer:
the last option
option four or D
Step-by-step explanation:
have a great day :)
What is -3v = 15 like I need this answer!!
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
Answer please 10 points
Answer:
3/4 to 9/6
Step-by-step explanation:
Which sequence is modeled by the graph below? (6 points)
Answer:
Step-by-step explanation:
Simplify the expression:
[tex] ({2x + 5y})^{2} - ({3x + 4y})^{2} [/tex]
Step-by-step explanation:
the answer is in the picture
Answer:
3x+18y
Step-by-step explanation:
2x+5y+2x+5y-3x+4y+3x+4y
2x+2x-3x+3x+5y+5y+4y+4y
4x-x+10y+8y
3x+18y
What is the value of x?
Answer:
The value of x=12
Step-by-step explanation:
because the whole thing is 90 and the other angles are equal to 78 if you add them together. So you would subtract 90-78 which equals 12.
Find the quadratic root of 3 x² - 4x + 2
Answer:
it has no real roots.
and the 2nd answer is correct.
Step-by-step explanation:
Answer:
this quadratic equation has two roots:
x = (2+i√(2))/3 , (2-i√(2))/3
Steps:
3x²-4x+2=0
x = (4±√((-4)²-4×3×2))/2×3
x = (4±√(16-24))/6
x = (4±√(-8))/6
x = (4±√(-2×4))/6
x = (4±√(-2)×√(4))/6
x = (4±i√(2)×2)/6
x = (2±i√(2))/3
x = (2+i√(2))/3 , (2-i√(2))/3
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
please help me I will give a brainlist
Answer:
I think this is helpful .
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answer:91
Step-by-step explanation:
I need help on this!!
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.
Use the associative property to simplify 3(4x).
Step-by-step explanation:
3(4x)=12x
Hope it helps?!
"Fifty-seven more than two times j"
Answer:
2j+57
Step-by-step explanation:
Two times a umber j is expressed as 2j
if Fifty-seven is more than two times j", this means we will have to add 57 to 2j as shown;
f(j) = 2j + 57
Hence the statement written as a function is expressed as 2j+57
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 15858 quarts of paint, and each chair requires 2323 quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Step-by-step explanation:
Let t be the number of tables
Let c be the number of chairs
Total paint needed = 15858t + 2323c
Given t = 2 and c = 8, substitute t and c into expression to find total paint needed
Total Paint needed = 15858(2) + 2323(8)
= 31716 + 18584
= 50300 quarts of paint
explain C = 15 + 0.6Yd
What are the solution(s) to the quadratic equation 40 - x2 = 0?
O x = +2/10
O x = +4/10
O x = +2/5
x = +4V5
Answer:
±2sqrt(10)
Step-by-step explanation:
40 - x^2 = 0
Add x^2 to each side
40 -x^2 + x^2 = x^2
40 =x^2
Take the square root of each side
±sqrt(40) =sqrt(x^2)
±sqrt(4)sqrt(10) =x
±2sqrt(10) =x
Find the slope of the line.
Answer:
3/3 or 1
Step-by-step explanation:
Remember the slope of the line is y/x
You can either count the distance going from point 1 to point 2 or
subtract (4-1)/(4-1)= 3/3
w + what - s = w
help plz help helppp i want help
Answer: S
Step-by-step explanation:
w + ? - s = w
w + s - s = w
w = w
I NEED HELP ASAP PLS HELP!
You: 3, 6, 9, 12
Friend: 4, 8, 12, 16
Your friend sells 16 tickets.
Answer:
you is 5 and friend is 12 and 16 your friend sells 16 tickets
Step-by-step explanation:
Find the circumference of the circle to the nearest tenth.
C
6 cm
I assume the radius is 6 cm.
Diameter = 2 times the radius.
D = 12 cm.
We now use C = pi•D.
C = pi•12cm
C = 12pi cm
Done!
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answer:
$65?
Step-by-step explanation:
What is the length of side 'y'?
Answer:
B
Step-by-step explanation:
Below is the graph of f(x) = 3 log10^ x. How would you describe the graph of
g(x) = 9 log10^x?
A. g(x) shifts f(x) to the right 3 units.
B. g(x) shifts f(x) up 3 units.
C. g(x) compresses f(x) by a factor of 3.
O
D. g(x) stretches f(x) vertically by a factor of 3
Answer:c
Step-by-step explanation:
Answer:D g(x) stretches f(x) vertically by a factor of 3.
Step-by-step explanation: ape3
lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to
have four different colors.
If order does not matter, in how many ways can she pick four colors if green must be one of them?
4
6
10
15
O
Answer:
6 is correct
So Iliana has 6 ways to pick for colors, if green is not one of them. :)
Will give brainlst
Have a nice day
Answer:
7/2
Step-by-step explanation:
[tex]12x=4(x+2)+20\implies\\12x=4x+8+20\implies\\12x=4x+28\implies\\8x=28\implies\\x=28/8=7/2[/tex]
[tex]y=8x+12[/tex]
Answer:
14/4 , y = 8x + 12
Step-by-step explanation:
12x = 4x + 28
x= 14/4
.
y = ax+b
a is the slope
b is the y intercept
Please help me with my math
Answer:
47.5 yd²
Step-by-step explanation:
Area = 1/2 ( base x height )
Area = 1/2 ( 19 x 5 )
Area = 1/2 ( 95 )
Area = 47.5 yd²
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
This is relative frequency tables. Can someone help ?
Answer:
87 is the answer
Hope it helps!!!
Step-by-step explanation: