Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9

Sonal And Gaurav Have 2 Numbers Written On A Piece Of Paper. Sonal's Number PQR Is Divisible By3 And

Answers

Answer 1

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

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Related Questions

find the sum of that amount to RS 9144 in 3 years at 9%per year simple interest ​

Answers

ANSWER:

4937.76

Step-by-step explanation:

I=PRT

I=9144*0.09*9

I=4937.76

f(x) = 8x-3 and g(x) =4x +5; find (f /g) (x)

Answers

Answer:

32x + 37

Step-by-step explanation:

f(g(x)) = 8(4x+5) - 3

= 32x + 40 - 3

= 32x + 37

ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work

Answers

The line of length 48 is passing through the midpoint of traingle so it's half of base

[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

solve similar triangles (advanced)

Answers

Answer:

x = 1.125 AKA x = 1 1/8 AKA x = 9/8

Step-by-step explanation:

CB to ED = 1 : 9

Scale Factor = 1/9

[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply

9x = x + 9

-x     -x

8x = 9

[tex]\frac{8x}{8} =\frac{9}{8}[/tex]

x = 9/8

please help ASAP! What is the area of this figure?

Answers

Answer:

The answer is 75ft. Hope this helps.

enter an algebraic expression for the word expression.
The quotient of -4 and y​

Answers

Hey there!

Guide to follow

“Difference” means subtract

“Is” means equal to

“Product” means multiply

“Quotient” means divide

“Sum” means add

Answering your question….

“The [QUOTIENT] of [-4] and [y]

Remember we said “quotient” means divide

So we’re dividing -4 from y and that will be your answer.

Answer

-4 ÷ y

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

help pleasee
on the image
with the steps.​

Answers

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n

solve the equation. 2(3x-4)=3x+1

Answers

Answer:

x=3

Step-by-step explanation:

Write a general rule for finding the sign in a multiplication or division problem with more than two integers​

Answers

When you multiply two integers with the same signs, the result is always positive, When you multiply two integers with different signs, the result is always negative.

Hope you find this helpful!
Brainliest and a like is much appreciated!

How I can apply the distribute property to this question?

Answers

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

How many solutions do 5-2x=2x-5

Answers

Answer:

1 solution is the answer

Latasha $289 last week.she earned $213.73 this week how much more did latasha earn last week than this week

Answers

Answer:

75.27

Step-by-step explanation:

Subtract this week from last week

289-213.73

75.27

Someone pls anwser this.​

Answers

Answer:

YES, HAVE A GREAT DAYYYYYYYYYYYY!!!

Step-by-step explanation:

THX 4 THE POINTS!!!!!

1+1 is 2
2+2 is 4
1+5 is 6
4+4 is 8
There you go you know how to count by 2s

Use synthetic substitution to find p(3) for p(x)=x^3-2x^2-x+2

Answers

p(3)= 3^3 - 2(3)^2 - 3 +2
p(3)= 9 - 18 - 1
Answer: p(3)= -10

Answer:

p(3)= -10

Step-by-step explanation:

If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2

Answers

Answer:

i think 60 miles

Step-by-step explanation:

I just added the 100+40 then

200-140

Answer:

  1 3/7 hours

Step-by-step explanation:

The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...

  time = distance/speed

  time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h

The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.

When solving a system of equations graphically, when would you need to estimate the solution? Explain.

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Tyson is 6 feet 2 inches tall. There are 2. 54 centimeters in 1 inch. What is Tyson's height in centimeters?.

Answers

29.1338583 because if you do the math

Answer:

187.96cm

Step-by-step explanation:

first convert 6 feet to cm=182.88

then convert 2 inches to cm=5.08

add your answers together=187.96

HELPP
what is the integer 23504 into a polynomial ??

Answers

A possible polynomial for this integer is 5y x 94 + 4

A polynomial is a type of mathematical expression that includes:

Numbers, also known as constants.Mathematical symbols such as -, +, x.Variables that represented by letters.

Now, to create a polynomial you will need at least two monomials or terms joined by a symbol. Here are some examples of polynomials:

4x + 5y-2x -x +7

One possible polynomial for the integer 23504 is

5y x 94 + 4

In this polynomial, y is equal to 50. Now, to make sure this is correct you can solve the polynomial.

5y x 94 + 4(5 x 50) x 94 +  4250 x 94 + 423500 + 423504

Learn more about polynomial in: https://brainly.com/question/17822016

Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)

Answers

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983

Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equation represents this proportional relationship? A: d=6h B: 3D=4h C: d=1/6h D: d=4h E: 1/6d=12h No links, only answer if you know pls, will give brainliest and like if right.

Answers

Answer:

The answer is A.

Explanation:

A is true because 2/3 of a dress takes a full four hours. That means 1/3 is finished every 2 hours. So if you add both 4 and 2 together you get 6 hours :)

Hope this helped

Pls help me with this

Answers

Step-by-step explanation:

a)

clearly, A and B are mirrored images of each other around the x-axis.

and the equation of the x-axis is simply

y = 0

b)

this is trickier.

first of all, the mirror line is now vertical and not horizontal.

and where is it ? of course, in the middle between A and B.

how many units are there between A and B ?

I am counting 5. so, the middle between them is 2.5 units.

so, let's go e.g. from A 2.5 units to the right (in the direction of B).

where do we end up ? at x = 0.5

and that is also the equation of the vertical line there.

again

x = 0.5

Prove the following:

1 + cos^2 A = 2 ( cos^4A + sin^4A)​

Answers

The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.

2x-3y=-14
5x+9y=-2

Answers

Answer:

Well to solve this I’m gonna use substitution

So

2x-3y=-14

5x+9y=14

I‘m gonna isolate ”x” on the first equation

So it’ll be

2x-3y=-14

2x=-14+3y

x=-7+1.5y

X is -7+1.5y

Now you can subsitute into other equations to find what Y is worth

So lets use the second equation

5(-1+1.5y) + 9y = 14

Now solve for y which is -2

If you subsitute Y back in an equation you’d get -4 for x

So y = -2

and X= -4

What is the volume of a cube with sides of length 15 mm?

Answers

I think the answer is 3375

31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl

Answers

Answer:

790 oz

Step-by-step explanation:

Ratio:

3oz syrup : 4oz water : 3oz apple juice: 1 serving: 10oz total mixture

We know there is 10oz total mixture because 3oz of syrup + 4oz of water + 3oz of apple juice = 10oz total mixture

We want to find

237oz apple juice: ?oz total mixture

To do this, we can multiply the ratio

3oz apple juice: 10oz total mixture by 237/3, because 237/3 * 3 = 237, getting us to 237oz apple juice on one side and maintaining the ratio so that we can find the total mixture amount, so we have

237oz apple juice: 10*237/3 oz total mixture = 10*79 = 790 oz

Can someone help me with this question

Answers

Answer:

what is the lesson? abot?

Step-by-step explanation:

.
A liquid takes up space because it: _______. has a definite volume but no definite shape has a definite shape but no definite volume has no definite shape or volume will take up as much space as they can

Answers

Answer:

1, It has a definite volume but no definite shape.

Step-by-step explanation:

Volume is the amount of space that something takes up. A liquid can only take up a certain amount of space, but it's shape will always depend on what container it is in.

Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.

1) What does the slope mean in real life in the context of the problem?

2) What does the y-intercept mean in real life in the context of the problem?

Answer in complete sentences.

Answers

Answer:

1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3

Step-by-step explanation:

The solution is

1) The slope of the graph m = 3 represents the growth of the tree per year

2) The y-intercept means the initial height of the tree , when x = 0

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 14 )

Let the second point be Q = Q ( 1 , 8 )

Now , the slope of the two points on the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( 3 - 1 )

Slope m = 6/2

Slope m = 3

Therefore , the slope is 3 feet per year

b)

The y intercept is calculated from the equation of line , when x = 0

So , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 14 = 3 ( x - 3 )

On simplifying the equation , we get

y - 14 = 3x - 9

Adding 14 on both sides of the equation , we get

y = 3x + 5

Now , when x = 0

y = 3 ( 0 ) + 5

y = 5 feet

From the graph we can see that , at 0 years the initial height of the tree is also 5 feet

Therefore , the y intercept is 5 feet

Hence , The slope of the equation is 3 and y intercept is 5

To learn more about equation of line click :

https://brainly.com/question/14200719

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Plz help with this question

Answers

Answer:

a) 72cm²

b) 9 cm²

c) 9 cm²

d) 54 cm²

Step-by-step explanation:

a) The area A of a rectangle is given by the formula, A=lw

12 * 6 = 72cm²

b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.

(12 - 3) * 6 = 54 cm²

Sound will travel fastest in air at _____.

Answers

Answer: 15 degrees Celsius

Step-by-step explanation:

Sound travels fastest usually at 25 degrees Celsius when the air is hotter as physics professor Kim strong stated

HI THERE

the answer is 15'C

correct me if I'm wrong

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