Answer:
3 1/3 and 2
Step-by-step explanation:
Let the numbers be x and y and let z be the constant of proportion. Then
xy = 5z ...............(1)
x + y = 4z ...........(2)
x - y = z ..............(3) Adding (2) and (3)
2x = 5z
x = 5z/2 ................(4)
Substituting for x in equation 1:
5z/2 * y = 5z
y = (5z * 2) / 5z = 2.
Substituting for y in equations (2) and (3):
x + 2 = 4z
x - 2 = z Subtracting:
4 = 3z
z = 4/3.
Substituting for z in equation (4)
x = 5(4/3) /2
x = 20/6 = 10/3 = 3 1/3.
So the 2 numbers are 3 1/3 and 2.
Checking the results:
xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z
x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.
x - y = 10/3 - 2 = 4/3 = z.
⓵ You need to solve the left side first in order to isolate the × and find it’s value :
-7× + 6 = 27
-6 -6
↓
-7× = 21
÷-7 ÷-7
↓
× = -3
If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!
I hope this helped, if there’s anything let me know! ☻
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
in this problem we have that
the value of the constant K is equal to 
so
Solve for V
<u>Find the value of V for 
</u>
substitute the value of P in the formula
therefore
<u>the answer is</u>
the value of V is equal to 
The steps to draw all the three angles have been explained.
<h3>What is an Angle ?</h3>
An angle is made by two rays that have one common end point known as vertex.
To make an angle congruent to the one given , the angle has to be copied
For making both ∠XYZ and∠ UVW , following steps will be followed.
- Draw two rays separately and name it YZ and VW .
- Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.
- Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .
- With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .
- The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.
- The angle formed will be copy of ∠ABC and∠ DEF
Now to draw RST = ABC + DEF
- Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.
The angle obtained will be RST.
To know more about Angle
brainly.com/question/13954458
#SPJ1
9203 cm3
Step-by-step explanation:
A globe of the moon has a radius of 13
centimeters. Find the volume of the globe.
Round your answer to the nearest whole
number.
The shape of the moon is spherical
Hence:
The volume of a sphere
= 4/3 x IT X p3
r
= radius = 13 cm
= 4/3 × IT × 133
=9202.77 cm3
Approximately to the nearest whole number
= 9203 cm3
Therefore, the volume of the globe is 9203
cm3
