Step-by-step explanation:
Step I: [Take only first 5 digits] A five digit number divisible by 5 can only end with '5'(0 is not allowed)
=> Middle digit is 5. Number is _ _ _ _ 5 _ _ _ _
Step II: All even digits should be even. because they'll be divided by an even number.
Step III: [Take only first 8 digits]An eight digit number with 6th digit as even number, last 2 digit can have only 4 combinations, . These are 96, 16, 72, 32. Number will be as follows:
(EDIT: Considering that it is divisible by 8 and 7th digit is odd)
_ _ _ _ 5 _ 1 6 _
_ _ _ _ 5 _ 9 6 _
_ _ _ _ 5 _ 7 2 _
_ _ _ _ 5 _ 3 2 _
Step IV: [Take only first 4 digits]A four digit number divisible by four ends only with 2 or 6. Keeping in mind that these number don't repeat only 4 Combinations are possible:
(EDIT: Using the fact that 3rd digit is odd and is divisible by 4)
_ _ _ 2 5 _ 1 6 _
_ _ _ 2 5 _ 9 6 _
_ _ _ 6 5 _ 7 2 _
_ _ _ 6 5 _ 3 2 _
Step V: [Take only first 6 digits]For a number to be divisible by 6; 6th number should be even and last three digit should add up to make a multiple of 3. Only 4 Combinations possible
_ _ _ 2 5 8 1 6 _
_ _ _ 2 5 8 9 6 _
_ _ _ 6 5 4 7 2 _
_ _ _ 6 5 4 3 2 _
Step VI: Now only one even number is remaining for occupying 2nd place in each of the above combination. For example in Ist case: 4 is the only remaining even number to be consumed. The combination will go as follows:
_ 4 _ 2 5 8 1 6 _
_ 4 _ 2 5 8 9 6 _
_ 8 _ 6 5 4 7 2 _
_ 8 _ 6 5 4 3 2 _
Step VII: Total 10 combinations remain:
1 4 9 2 5 8 1 6 _
9 4 1 2 5 8 9 6 _
3 8 1 6 5 4 7 2 _
1 8 3 6 5 4 3 2 _
3 8 1 6 5 4 7 2 _
1 8 3 6 5 4 3 6 _
1 8 9 6 5 4 7 2 _
9 8 1 6 5 4 3 2 _
1 8 9 6 5 4 7 2 _
9 8 1 6 5 4 3 2 _
Step VIII: Taking only first 7 digits of all of the above numbers. Only 3816547 is divisible by Seven
Complete number 381654729 is divisible by 9.
I am sure only 381654729 thus satisfies the answer.
Feel free to correct me if im work
Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?
Answer:
33.3%
Step-by-step explanation:
$2 on nachos and $2 on candy will get you $4 spent on them both.
You then have a fraction (4/12)which is 1/3.
1/3=33.3%
Kiran is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4. 50 each. How much total money would Kiran have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Kiran have to pay if he bought xx snacks for everybody to share?
I will give brainlist plsssss I need helppp
Answer: I only have the first answer sorry. The 1st answer is $13.50
Step-by-step explanation:
I multiplied $4.50 by the 3 kids and got $13.50 for the snacks.
Please help me! I need to figure it out
[tex]Q_3-Q_1=Q_i[/tex]Answer:
The answer is 10. Frank has done more than Marquis by10.
Step-by-step explanation:
From the internet, the interquartile is Q_3-Q_1=Q_inter
From Marquis his Q_3 = 40 and Q_1 = 20
[tex]Q_3-Q_1=Q_i[/tex]
40-20=20
From Frank his Q_3 = 40 and Q_1 = 10
[tex]Q_3-Q_1=Q_i[/tex]
40-10=30
Frank's interquartile is 30 and Marquis interquartile is 20.
Differences between the both of them.
30-20=10
4.1: Angle Articulation
Triangle A'B'C' is a dilation of triangle ABC using center P and scale factor 2.
1. What do you think is true about the angles in A' B'C' compared to the angles in ABC?
2. Use the tools available to figure out if what you thought was true is definitely true for
these triangles.
3. Do you think it would be true for angles in any dilation?
1.) The measure of each angle of ABC is equal to the corresponding angle of A'B'C' , the measures of this angle is preserved when you rotate the triangle.
2.) It was clear that triangle A'B'C' is dilated form ABC, meaning the angles will be the same.
3.) The rules for dilation only change the length of the triangle not the angles.
What is the solution of the system? Solve using matrices. 25 points
x+2y=9
x+y=1
Answer:
x = -7 and y=8Step-by-step explanation:
solnusing by elimination method 1|x+2y=9 1| x+y=1 |x+2y=9 -|x+y=1 x-x+2y-y=9-1 0+y=8 y=8 1|x+2y=9 2|x+y=1 |x+2y=9 -|2x+2y=2x-2x+2y+2y=9-2-x=7divide -1 both side with the make value of xx=-7therefore x=-7 and y=8. this is my answerUsing the table, if there are 5 flowers, how many petals are there?
A) 11
B) 6
C) 30
D) 25
Answer:
i think is 25
Step-by-step explanation:
you dont have no diagram but i think it 5x5=25
(-41) + (-40) = ?
I don't understand this question ⁉️ I tried to solve it but I don't know how to check my own work.
Answer:
[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]
Step-by-step explanation:
I hope I helped you! :)
Please help I'll give Brainliest and Thanks. its also due in 15 minutes.
Simplify: -1║2/3 - 4║ ÷ 5/6
║means an absolute value line.
A. -4
B. -25/9
C. 25/9
D. 4
Answer:
A or -4
Step-by-step explanation:
simplify to -1 || -10/3 || × 6/5
-1 × 10/3 × 6/5
-1 × 2 × 2
Allison and Amir are working on a school project together. Allison will do 3/4 of the research, and Amir will do the rest. Amir can do 1/8 of the research in an hour. How long will it take amir to complete his research
Answer: 2hours
Step-by-step explanation:
Allison does 3/4 and Amir does 1/4
Amir can do 1/8 in 1hr, how long will it take to complete ¼ work
1/4 ÷ 1/8 =2
Which of the following equations is the translation 2 units up of the graph of y= 1x1
1.y=1x-21
2.y=1x+21
3.y=1x1-2
4.y=1x1+2
Answer:
4. y = |x| + 2
Step-by-step explanation:
"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.
We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.
g(x) = |x - h| are for horizontal translations.
g(x) = |x| + k are for vertical translations.
The third choice is wrong as well because k is negative, not positive.
hope this helps!
Answer:
4. y = |x| + 2
Step-by-step explanation:
valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ribbon before valerie cut it
If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes
Answer:
7.5 cups of sugar
Step-by-step explanation:
3 cups /12 cupcakes * 30 cupcakes = 7.5 cups
look how he has proved that
infinity is equal to 0
how please help me please please please please
Answer:
false
Step-by-step explanation:
as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,
infinity - infinity is not 0.
0÷0 is undefined. so you cant just equate it to ( 2 × infinity)
to sum up this proof is entirely false.
if you still have any doubts make sure to ask.
Answer:
Refer to the attachment .
_______
Hope it helps ⚜
Moses is creating a large cube sculpture for a city park. He first makes a smaller cube to use as a rough model of his sculpture. The edge lengths of the model are each 25 in. The edge lengths of the sculpture will be 3 times the model's edge lengths. How many times as large is the volume of the sculpture than the volume of the model? Show your work.
From the calculations, the volume of the sculpture is 27 times the volume of the model.
Volume of a cubeThe volume of a cube is obtained using the formula;
Volume = l^3
Where l is the length of each edge. We should note that the lengths of all the edges in a cube are equal.
Hence,
volume of the model = (25)^3 = 15625 in^3
volume of the sculpture = (3 * 25)^3 = 421875 in^3
Ratio of the volume of the sculpture to the volume of the model = 421875 in^3/15625 in^3
= 27:1
Hence, the volume of the sculpture is 27 times the volume of the model.
Learn more about volume: https://brainly.com/question/12908738
For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340
The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The complete question is:
" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "
Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.
Consider the diagram attached below:
The distance D is the distance of horizon from the eyesight of viewer.
The value of h is the height of the observer.
For the triangle ABC, the length of the hypotenuse is: h + R
Other two sides which are mutually perpendicular are of length R and D.
Thus, by using Pythagoras theorem, we get:
[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]
(positive root as D is representing length, a non-negative quantity).
We're given h = 2, so we get:
[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]
A) Earth (R=6378 km);6378 km = 6378000 m
[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]
B) Mars ( 3,374 km);3374 km = 3374000 m
[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]
C) The Moon ( 1,738 km);
1738 km = 1738000 m
[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]
D)Mars' moon Diemos ( 6 km)
6 km = 6000 m
[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]
Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).
Learn more about Pythagoras theorem here:
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how many groups of 7 does it take to make 7 tens
Answer:
It takes 10 groups of 7 to make 7 tens
Step-by-step explanation:
I’m smart
Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain
Answer:
Hanna
Step-by-step explanation:
In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,
Speed of Hanna = 50mph (as given in ur question)
Speed of Thomas
Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,
Distance traveled = 12miles
Time taken = 15minutes
Speed = 12miles/15mim
Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4
that is 15 times 4 is 60. But to make the ratio equal
we have to multiply the distance too by 4.
= 12*4/15*4
=48 miles/60minutes
=48miles/1hour
=48mph
Comparing both speeds
Speed of Hanna compared to Speed of Thomas,
50mph > 48mph
Hence, Hanna has the faster speed.
Several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 2, 0, 7, 8, 5, 8, 4, 0, 3, 6. How many students were asked? How do you know? Complete the explanation.
The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10
What are sample size?The sample size is defined as the total number of respondents present in a sample.
If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6
The total number of students that asked questions can be determined by counting the total answers.
From the data given, the total number of students that were asked is 10
Learn more on sample size here: https://brainly.com/question/14470673
I need to know the of the blue line
Step-by-step explanation:
if i pick (3,4) and (6,10)
the formula for gradient is difference in y divided by difference in x . therefore
10-4 divided by 6 - 3 equals to 6 divided by 3 = 2
the gradient is 2
Please help, I need this quickly. It's an easy trigonometric question.
Answer:c x=13
Step-by-step explanation:
straight line =180
180-50=130
7x+3x=10x
130/10=13
So the answer is x=13
Help will name Brainliest
Answer:
x = 5
Step-by-step explanation:
using the sine or cosine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)
Which of the following is most likely the next step in the series?
:
⠀⠀⠀
OA.
OB.
O C.
OD.
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
Option C is the correct answer.
What is a series of patterns?A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.
Patterns can be found in many different fields, such as mathematics, science, art, and literature.
We have,
From the series of patterns,
We see that,
In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.
In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.
This means,
In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.
Thus,
The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.
Learn more about series of patterns here:
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Please help!! Will mark brainlyest.
Answer:
C. the X coordinates will increase by 2.Step-by-step explanation:
Here are the examples:
If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.In this case, a X coordinate will increase by 2.
Correct choice is C.
Point A is located at (-2, -3). After it is transformed, point A' is located at (-2, 3).
How was the point transformed?
It was reflected in the y-axis
it was rotated 180°
it was rotated 90 around the origin
it was reflected in the x-axis
Answer:
D.Step-by-step explanation:
All the other answers are wrong.
The points are reflected across the x-axis.
Here is why:
Point A is at (-2, -3)Point A' is located at (-2, 3)If you move across the x-axis in this form, you will see that they are reflected.Correct choice is D.
One number is 1 less than three times another number. if the product of the two numbers is 102, find the number
Answer:
25.25
Step-by-step explanation:
3y-1 (y) = 102
4y-1 = 102
4y = 101
y = 25.25
8 cm 11 cm 14 cm volume
Answer:
410.7 cm^3
Step-by-step explanation:
volume = (l*w*h)/3
volume = (14*8*11)/3
volume = 410.667
Subtract.
3x−5x−4−x2+12x−17x2−16
Step-by-step explanation:
3x - 5x - 4 - x^2 + 12x - 17x^2 - 16
= -2x - 20 - 18x^2 + 12x
= 10x - 20 - 18x^2
Hope it helpz~ uh..
A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.
Answer:
9
Step-by-step explanation:
let's assume ;
12=a
15=c
?=b
so;
a2+b2=c2
(12)2+b2=(15)2
144+b2=225
b2=225-144
b2=81 (square root both sides)
You'll get
b=9
NB; 2 is used as squared
Answer:
ITS 9
Step-by-step explanation:
Trust me i just finished the quiz (credit to dude on top)
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form.
1/1/2 1/1/2 2ft
Answer:
[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]
Step-by-step explanation:
Formula _____________________
the volume of a prism = base × height
================================
[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]
[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]