Answer:
79/9 or 8 7/9
Step-by-step explanation:
1+9x=80
1 +9x = 90
Subtract 1 from each side
1+9x-1 = 80-1
9x = 79
divide by 9
9x/9 = 79/9
x = 8 7/9
Answer:
<u>34 units</u>
Step-by-step explanation:
I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.
Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.
Finally, I solve for the area of the rectangle:
45.75 x 0.75 ≈ <u>34 units</u> (rounded to the nearest whole number)
Answer:
80in^3
Step-by-step explanation:
Answer: b. 6(x + 4)
Step-by-step explanation:
The given word phrase = the product 4 more than x and 6
where , 4 more than x is equivalent to 
Therefore the algebraic expression for the given word phase "the product 4 more than x and 6"
=
Hence b. is the right option.
The algebraic expression for the given word phase is 
Answer:
The area of the square adjacent to the third side of the triangle is 11 units²
Step-by-step explanation:
We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,
x² = 33,
x = 
.... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.
x² = 44,
x = 
.... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.
Let x = the length of the side of the unknown square's area -
= 
+ 
,
x = 
... And squared is 11, making the area of this square 11 units².
