Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
Answer:
d) 7(30 + 9) = 7(30) + 7(9)
Step-by-step explanation:
<u>Distributive method</u>:
<u>Here given</u>:
Among the option's:
<u>1st option</u> (7 + 3) (7 + 9) is wrong, changes <u>final answer</u>.
<u>2nd option</u> (7 × 30) + 9 is wrong, changes <u>final answer</u>.
3rd option 39 × 7 shows commutative property of multiplication.
<u>4th option</u> show distributive method.
Answer:
Step-by-step explanation:
Pythagoras theorem
a^2=b^2+c^2
(x-2)^2=9^2+(x+1)^2
x^2-4x+4=81+x^2+2x+1
Collect like terms
-4x-2x=82-4
-6x=78
x=-13
9000 if you don't allow numbers with leading zeros, such as 0,000.
10,000 if you do allow numbers with leading zeros.
Answer:
The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Step-by-step explanation:
Let the width of rectangular solid be x
We are given that the length of the container must be one meter longer than the width
So, Length of solid = x+1
We are also given that height must be one meter greater than twice the width
So, Height of solid = 2x+1
So, Volume of solid = 
Volume of solid = 
Volume of solid =
Volume of solid =
We are given that a rectangular solid must have a volume of 84 cubic meters
So, 
On equating
x-3=0
x=3
So, Length of solid = x+1=3+1 = 4 feet
Height of solid = 2x+1 =2(3)+1=7 feet
Width of solid = 3 feet
Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
