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
hhheeelllpppp pplllssss
Answer:
i think its a
Step-by-step explanation:
Answer:
B 7.2
Step-by-step explanation:
the coordinate of C: (1, 3)
the coordinate of E: (5, -3)
the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]
= [tex]\sqrt{16+36}[/tex]
= [tex]\sqrt{52}[/tex]
≈ 7.2
HELP! I NEED HELP ASAP
Step-by-step explanation:
yes the 10' wave is the outlier
Answer:
The correct option is .The 10 foot wave is an outlier.
Step-by-step explanation:
Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?
Answer:
4.5 cups flour
Step-by-step explanation:
6.5 - 2 = 4.5
1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles
Answer:
Do you have any Images?
Step-by-step explanation:
Answer:
I don't get it.
Step-by-step explanation:
The area of the figure below is cm2. Round to the nearest
hundredth where necessary.
30 cm
30 cm
26 cm
Answer:
sorry the question is not clear enough
what does x - (-3) = 17 equal?
Answer:
x = 14
Step-by-step explanation:
two negatives become a positive so the equation is now
x + 3 = 17
subtract 3 from both sides, giving you 14
What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)
distributive
commutative
associative
identity
Answer:
108 associative
Step-by-step explanation:
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
Learn more about quadrilaterals here
https://brainly.com/question/26843538
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how do you find the value of x
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
isnt the x a 90 degree angle?
Need help with this question asap please please
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?
Answer:
9,309
Step-by-step explanation:
550 + (8,730) + 2 + 4 + (23)
= 550 + 8,730 + 2 + 4 + 23
= 9,309
What does it mean if (3, 2) is a solution of
{
y = x - 1
y = -x + 5
?
(x,y) = (3,2)
y = x - 1
2 = 3 - 1
2 = 2
y = -x + 5
2 = -3 + 5
2 = 2
If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, The system of equation y = x - 1 and y = - x + 5 has a
solution (3, 2).
If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.
For,
y = x - 1.
At, x = 3,
y = 3 - 1
y = 2 (satisfied).
For,
y = - x + 5.
At, x = 3,
y - 3 + 2.
= 2 (satisfied).
learn more about the system of equations here :
https://brainly.com/question/19549073
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An angle measures 36.6° less than the measure of its complementary angle. What is themeasure of each angle?
Answer:
53.4° and 36.6°
Step-by-step explanation:
90.0 - 36.6 = 53.4
can someone please help me
Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?
Answer:
[tex]N_t=6.455\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Total String [tex]N=71/2[/tex]
Strip size [tex]N_s=11/2[/tex]
Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by
[tex]N_t=\frac{N}{N_s}[/tex]
Therefore the strips of string can she cut with 7 1/2 yards is Given as
[tex]N_t=\frac{71/2}{11/2}[/tex]
[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]
[tex]N_t=\frac{71}{11}[/tex]
[tex]N_t=6.455\ yards[/tex]
Please let me know the answer to this
Use the coordinate plane. Identity the ordered pair
that names each point.
PLEASE ANSWER THIS IS URGENT
Answer:
A= (-1.5, 1)
B= (0.5, -2)
C= (-1, -1.5)
D= (1, 1.5)
Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.
Answer:
a = 15b
Step-by-step explanation:
It's given in the question that Alice has 15 times as many crayons as Bryan.
Let the number of crayons with Bryan = b
And the number of crayons with Alice = a
Therefore, equation representing the number of crayons with Alice will be,
a = 15b
please with this problem I'm not sure what to put
..............
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2
Answer:
[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]
brainyliest pls
What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]
Answer:
402.1
hope it helps
please mark Brainliest
Which is the largest interval over which the function in the table is increasing?
Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
HELP ME W/ MY HW
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
7238.23
Step-by-step explanation:
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128
Answer:
rule multiply of 4
Step-by-step explanation:
beacause 4×1=4
4×2=8
4×4=16
4×8=32
4×16=64
4×32=128
that's all I know
7.4g of sugar is needed for every cake made. How much sugar is needed for 7 cakes?
Answer:
Sugar for 1 cake = 7.4 g
Sugar for 7 cakes = 7.4 × 7 = 51.8 g.
What is the volume of the cargo area of the moving truck?
A. 696 cubic feet
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft