Answer:
x = 7
y = 2
Step-by-step explanation:
In the above question, we are given 2 equations which are simultaneous. To solve this equation, we have to find the values of x and y
x + 3y = 13 ........ Equation 1
x - y = 5...........Equation 2
From Equation 2,
x = 5 + y
Substitute 5 + y for x in Equation 1
x + 3y = 13 ........ Equation 1
5 + y + 3y = 13
5 + 4y = 13
4y = 13 - 5
4y = 8
y = 8/4
y = 2
Since y = 2, substitute , 2 for y in Equation 2
x - y = 5...........Equation 2
x - 2 = 5
x = 5 + 2
x = 7
Therefore, x = 7 and y = 2
Answer:
x = 8
Step-by-step explanation:
These angles are alternate interior angles and m is parallel to n, so they're congruent, meaning that they're equal!
So we can make our equation:
6x - 2 = 46
6x = 48
x = 8
Hope this helps!
Answer:
Total space in the box is 75.2 cm³.
Step-by-step explanation:
Cone:
- It is three dimension shape.
- It has a vertex.
- The slant height of a cone
,
= slant height, r= radius of the base, h= height - The lateral surface area is πrl
- The volume of a cone is
.
The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.
So, the volume of the cone is =

cm³
The volume 1 dozen carrots is = (12×2π) cm³
=75.4 cm³
The volume of the box= The volume of the 1 dozen carrot.
Total space in the box is 75.2 cm³.
Step-by-step explanation:

-18 negative eighteen
6 positive six
12 positive twelve
-40 negative forty