Given equation is : 11x - 2 + 15 = 8 + 7 + 9x
Solving this by grouping like terms on one side.




Hence, this equation has one solution.
Answer:
existing or occurring now
Step 1: 0.35 = 35⁄100
Step 2: Simplify 35⁄100 = 7⁄20
answer: 7/20
Answer:



Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:


Required
Solve for a, b and c

So, we have:

Subtract 1 from both sides


Apply Pythagoras Theorem

Substitute 3 + 3b for a and 4 + 3b for c

Open brackets


Collect Like Terms


Expand

Factorize:


Split:


But the adjacent of a triangle can't have a negative measurement.
So:

Recall that:


Substitute 7 for b in the above expressions






Hence, the dimensions of the triangle are:



Complete Question
If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?
Answer:
3 quarts of paint
Step-by-step explanation:
The Logo is rectangular in shape, hence:
The area of a rectangle = Length × Width
The logo has dimensions of 6 ft and 11ft.
Area of the Logo = 6ft × 11ft = 66ft²
He needs a quart of paint for every 22 square ft
Hence:
22 ft² = 1 quart of paint
66ft² = x
Cross Multiply
22 ft² × x = 66 ft² × 1 quart
x = 66 ft² × 1 quart/22 ft²
x = 3 quarts of paint
Therefore, he will need 3 quarts of paint for the whole logo.