MATHEMATICS HIGH SCHOOL

Two numbers have these properties.Both numbers are greater than 8.
Their highest common factor (HCF) is 8.
Their lowest common multiple (LCM) is 80.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and ...

Answers

Answer 1

Answer:

Answer:

16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

8×80 = xy
8×80 = 8n×8m
10 = nm

Possible option:

n = 2, m = 5

Then the numbers are:

x = 2*8= 16
y = 5*8 = 40

Related Questions

What is the multiplicative inverse of -1/9
Find the last common factor of 12 and 36
Find the area and circumference of a circle with diameter 8yd
E 125° G F mZGFH = [?]° H
If Ben borrowed $20,000 for his business of a 10-year loan at 6.25%.a. What is the monthly payment of a Ben’s loan?b. What will be the total of Ben’s monthly payments for the 10 years?c. How much total interest did Ben pay for the loan?

What is the solution to the following equation?

5(2x –6) + 20 = 10 (4 points)

Answers

5(2x-6)+20=10

Distribute

(5)(2x)+(5)(-6)+20=10

10x-30+20=10

Combine like terms (10x)+(-30+20)=10

10x-10=10

Add 10 to both sides

10x-10+10=10+10

10x=20

x = 20/10

x= 2

I hope that's help !

One point on a line is given the coordinate 5.3. A second point on the line has a coordinate of 8.7.The distance between these points is __________ units.

Answers

Answer: The distance between these points is 5 units.

Step-by-step explanation:

We know that by Distance formula , the distance between two points (a,b) and (c,d) is given by :-

$D=√((d-b)^2+(c-a)^2)$

The given points = (5,3) and (8,7)

The distance between theses points will be :

$D=√((7-3)^2+(8-5)^2)\n\n\Rightarrow\ D=√((4)^2+(3)^2)\n\n\Rightarrow\ D=√(16+9)\n\n\Rightarrow\ D=√(25)=\pm5$

Since , Distance is always positive , it means the distance between the given points is 5 units.

Answer:

3.2

Step-by-step explanation:

The distance formula on a number line is

d= x2-x1

d= 8.7-5.3 =3.2

The area of a rectangle is 1,035 square centimeters if the lengthy of the rectangle is 3 centimeters what is the width of the rectangle

Answers

area of rectangle = 1035 cm^2
length of rectangle = 3 cm
width of rectangle = ?

area = length *width

1035 = 3*w

w = 1035/3

w = 345

sana makatulong to sayu

A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?

Answers

The area of circle is

$A_{\text{circle}}=\pi r^2.$

Then the area of semicircular region is

$A_{\text{semicircular region}}=(1)/(2) \pi r^2.$

If r=3 m, you have

$A_{\text{semicircular region}}=(1)/(2) \pi \cdot 3^2=(9\pi)/(2)=4.5\pi \approx 14.13$ sq. m.

Answer: $A_{\text{semicircular region}}=4.5\pi \approx 14.13$ sq. m.

you would divide 3 by 2 than you would square 1.5 and multiply it by 3.14 7.065

Can anyone tell me how to graph 7x+y=5

Answers

You have the equation 7x+y=5
But you must rearrange this into y=mx+b form
to do this subtract 7x from both sides

y= -7x+5

On the y axis plot a dot on 5 because that is the y intercept.

To find the x intercept let y=0
0= -7x+5
1. Subtract 5 to both sides
-5=-7x
2. Divide by -7 to both sides
x= -5/-7
x=5/7
The x intercept is 5/7, so on the x axis mark a dot on 5/7 which is approximately at 0.7
Once you have marked one dot on the y axis at 5 and another dot on the x-axis at 0.7 then you draw a straight line through these points and you have graphed the function 7x+y=5

To graph an equation, you first need to solve it for y. This means turning the equation into this form: Y=.......

For your equation, once you solve it for Y, you get this:

$y = -7x +5$

Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.

To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.

Now, for your equation:

$y = -7x +5$

Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:

$y = -7(0) +5$

-7 * 0 is 0. Therefore, your new equation looks like this:

$y =+5$

Therefore, one "Solution pair" to this equation is (X=0,Y=5)

Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.

Multiplying a number by 2 and then adding 5 gives the same number as subtracting a number from 23. What is the number?