Given:
Number 1X2Y6Z is divisible by 9.
To find:
The least value of X+Y+Z = ?
Solution:
First of all, let us learn the divisibility rule of 9.
A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.
For example:
Let us consider a number 923463.
The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27
27 is divisible by 9 so the number 923463 will also be divisible by 9.
Let us consider another example 8972.
Sum of digits = 26
26 is not divisible by 9 so the number 8972 will also be not divisible by 9.
Now, we are given the number 1X2Y6Z.
Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z
The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.
The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9
which will make the number 1X2Y6Z divisible by 9.
So, the answer is:
Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.
9514 1404 393
Answer:
0
Step-by-step explanation:
For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.
The least value of x+y+z is 0.
_____
102060/9 = 11340
What is the scale factor of the dilation of ABCD centered at the origin?
Answer:
The anwser is -1/2
Step-by-step explanation:
A trick i personally learned is that is you are shrinking then it will turn up as a fraction, but make sure that fraction is not an improper fraction and if the dialation does get bigger it will be a whole number or improper fraction.
What is the value of x in the equation 4-3x+5x=12
Given the points A(4,6) and B(8, −2), what is the length of segment AB in units?
F √5
G 2√5
H 4√5
J 4
Answer:
Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]Y1 = 6[/tex]
[tex]Y2 = -2[/tex]
[tex]X1 = 4[/tex]
[tex]X2 = 8[/tex]
[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]
[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]
[tex]AB = \sqrt{16+64}[/tex]
[tex]AB = 4\sqrt{5}[/tex]
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Hope this helps!!
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Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?
Answer:
[tex]g(x) = (x-6)^2 +3[/tex]
Step-by-step explanation:
Given
[tex]y = (x - 1)^2 + 3[/tex]
Required:
Shift 5 units to the right
f(x) = (x + 2)^2 + 2
The parabola is written as:
[tex]y = a(x-h) ^2 +k[/tex]
Where [tex](h,k)[/tex] is the vertex
Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]
The vertex is:
[tex]Vertex =(1,3)[/tex]
Shift 5 units to the right
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex](1,3) \to (1 + 5,3)[/tex]
[tex](1,3) \to (6,3)[/tex]
The new function is:
[tex]g(x) = a(x-h) ^2 +k[/tex]
[tex]g(x) = (x-6)^2 +3[/tex]
Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
Plzzz tell ans but not for points okkkkay if u ans for points i will report
plz telllllll
Answer:
Given
ΔABC with ∠A = 90°ΔADC with ∠D = 90°The two triangles share same angle ∠CWith two same angles the triangles are similar according to AA similarity postulate:
ΔABC ~ ΔDACAs we know if triangles are similar then their corresponding sides have same ratio:
AC/CD = BC/AC ⇒ AC*AC = BC*CD ⇒ AC² = BC*CDFind the missing side
5
1.3
6.2
8.2
Answer:
I think it is 1.3
Step-by-step explanation:
(9&10: find the value of x & each arc measure) will mark brainliest thanks
Answer:
11:...31.84 ft.
12....19.02 m.
13....68.90 in.
14....37.33 cm
Step-by-step explanation:
The value of x for 9 will be 36.75° and for 10 will be 9°
CircleThe total sum of all the angle of circle will be 360°.
How to find the value of x?The sum of the all angles is 360°.
Solution 9
360- 61-34 +29 = 8x
x=36.15°
Solution 10
360 - 90 +9 = 31x
x = 9°
Learn more about the angle here https://brainly.com/question/25716982
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HELP
NO LINKS
I NEED TO TURN THIS IN ASAP I APPRECIATE ALL HELP
Where is the coefficient in 5/7+c
Answer:
coefficient is 1 because 5/7 is the constant, which c is the varible, but there is no coefficient, which is automatically 1
Which expression is equivalent to 6( 8n) - 8?
Answer:
48n-48
Step-by-step explanation:
I dont know the options but you just multiply
6 times 8n is 48n
6 times -8 is -48
Answer: 48-6n-8
Step-by-step explanation: So basically u multiply 6x8n which is 48 then all u do is leave the 8 and boom.
Find two positive numbers, such that, the product of the first number squared and the second number is 54 and the Sum is a mimimum. What is the minimum sum?
What is 2, 3, 4?????????
Answer:
2 = 51 degrees
3 = 51 degrees
4 = 51 degrees
not that sure
Step-by-step explanation:
https://brainly.com/
If AAED is dilated to points A, C, and B, which statement is true?
A)
AAED - AACB
B)
AAED AACB
The area of AAED is half the area of AACB
D)
The perimeter of AAED is one-fourth the area of AACB
Answer:
A
Explanation:
Calculate the length of each side, and add.
AD is the long leg, and AE is the short leg
So we know the basic info. Use to solve.
Hope this helped, and please mark as Brainliest <3
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Water Cycle Diagram
Label the diagram using the following tags: precipitation, sun, evaporation, clouds, condensation, water
Answer: #4 = precipitation
#3 = evaporation
#2 clouds
#1= sun
#5= water
Step-by-step explanation:
Answer:
1: sun
2: clouds
3: Evaporation
4: Precipitation
5: Water
Step-by-step explanation:
QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER
Answer:
0.25
Step-by-step explanation:
Answer:
25% as a decimal is 0.25 I think
Step-by-step explanation:
d) What fraction is equal to 50% of 1/4
Answer:
1/8
Step-by-step explanation:
50% of 1/4 = 1/8
hope this helps!
Answer:
1/8
Step-by-step explanation:
find the equation of the line passing through points (6,-3) and (-2,3)
51 is approximately equal to
A
7
B
5.1
с
6
D
60
Answer:
5.1 for my answerStep-by-step explanation:
because is not equal
A solid metal rectangular pyramid has a base that measures 16 cm by 25 cm The Solid is melted and recast into a solid cavare pyramid of the same height. Find the length of the side of the base of the square pyramid.
Which of these sets of ordered pairs satisfies an exponential equation? (1) {(1, -1), (2, -8), (3, -27), (4, -64)} (2) {(1, -1), (2, -4), (3, -9), (4, -16)} (3) {(1, -2), (3, -8), (5, -32), (7, -128)} (4) {(1, -2), (3, 2), (5, 6), (7, 10)}
Answer:
(4, -16)(3, -8)
Step-by-step explanation:
Translate each expression
No answering with a link !!!
Directions :
Translate each expression 1-6
Answer:
Solving the first 6Assumed the number is x#14x - 1#2(2/3)x + 7#3m - n#4x² - 9#52x/5#6(1/4)x + 27Tell whether -2 is a solution of the intequality. 8-2x<12
(The answear is yes but i need the work too
Answer:
add 8 to 2 and then multiply the 8 with 12.
Step-by-step explanation:
A base is labeled on the triangle below (look at picture!)
Answer:
It's A.
Step-by-step explanation:
PWEASE HELP, AREA OF A TRAPEZOID
Answer:
34 m²
Step-by-step explanation:
What is the function notation for A(2,-5) B(5,-2) C(4,3)
Answer:
b?
Step-by-step explanation:
if I'm wrong sorry I'm just answering questions even if I dont 100% know
If a line contains the points in the tablet below, which is the equation of the line
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
Write an inequality to model the solutions shown on the number line below.
Answer:
X > 6
Step-by-step explanation:
Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³