Answer:
−9.333
Step-by-step explanation:
(1): "6.75" was replaced by "(675/100)"
(675/100)+3/8*x-((13)*1/4)=0
Simplify 1/4
675 3 1
(———+(—•x))-(13•—) = 0
100 8 4
3
Simplify —
8
Equation at the end of step
2
:
675 3 13
(——— + (— • x)) - —— = 0
100 8 4
STEP
3
:
27
Simplify ——
4
Equation at the end of step
3
:
27 3x 13
(—— + ——) - —— = 0
4 8 4
Answer:
Step-by-step explanation:
Find the area of each shape (rectangle and triangle) and then add the areas together.
Area of rectangle:
A = bh
A = 14*12 = 168 cm2
Area of triangle:
A = 1/2*bh
A = 1/2(16)(21 - 12)
A = 1/2(16)(9)
A = 1/2(144)
A = 72 cm2
Add areas together: (area of the whole shape)
168 + 72 = 240 cm2
Answer:
Step-by-step explanation:
Given:
Required
Rewrite in vertex form
The vertex form of an equation is in form of:
Solving:
Subtract 2 from both sides
Factorize expression on the right hand side by dividing through by the coefficient of x²
Get a perfect square of coefficient of x; then add to both sides
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<em>Rough work</em>
The coefficient of x is
It's square is
Adding inside the bracket of to give:
To balance the equation, the same expression must be added to the other side of the equation;
Equivalent expression is:
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The expression becomes
Factorize the expression on the right hand side
Make y the subject of formula
<em>Solved</em>
Answer:
Step-by-step explanation:
Here first open the inner parentheses and use the distributive property,
18%=0.18
380×0.18=68.4 increase
380+68.4=448.4
the easier way is to think 1 times any number is the same number so 380(1+0.18)=448.4 (just like adding tax to the price of something to see how much you'll actually pay)