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

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

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Answer:

The answer is 75ft. Hope this helps.

ANSWER:

4937.76

Step-by-step explanation:

I=PRT

I=9144*0.09*9

I=4937.76

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

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

A polynomial is a type of mathematical expression that includes:

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

One possible polynomial for the integer 23504 is

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

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

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

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.

Answer:

what is the lesson? abot?

Step-by-step explanation:

Answer:

p(3)= -10

Step-by-step explanation:

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.

Answer:

32x + 37

Step-by-step explanation:

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

= 32x + 40 - 3

= 32x + 37

Answer:

x=3

Step-by-step explanation:

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

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

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

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:)

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

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

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

Answer:

1 solution is the answer

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

• correct me if I'm wrong

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

Answer:

YES, HAVE A GREAT DAYYYYYYYYYYYY!!!

Step-by-step explanation:

THX 4 THE POINTS!!!!!

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

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]

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.)

Answer:

75.27

Step-by-step explanation:

Subtract this week from last week

289-213.73

75.27

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation: