For part a it’s sal will leave a $20 tip for part b sals food is $78.22 including tax and tip
The numbers are: 36 and 11 .
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Explanation:
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Let us represent the TWO (2) numbers with the variables;
"x" and "y" .
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x + y = 47 .
y − x = 25.
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Since: " y − x = 25 " ;
Solve for "y" in terms of "x" ;
y − x = 25 ;
Add "x" to each side of the equation:
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y − x + x = 25 + x ;
to get:
y = 25 + x .
Now, since:
x + y = 47 ;
Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :
x + (25 + x) = 47 ;
x + 25 + x + 47 ;
2x + 25 = 47 ;
Subtract "25" from each side of the equation:
2x + 25 − 25 = 47 − 25 ;
2x = 22 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;
2x / 2 = 22 / 2 ;
x = 11 ;
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x + y = 47<span> ;
</span>Plug in "11" for "x" into the equation ; to solve for "y" ;
11 + y = 47 ;
Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;
11 + y − 11 = 47 − 11 ;
y = 36 .
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So: x = 11 , y = 36 ;
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Let us check our work:
y − x = 25 ;
36 − 11 =? 25 ? Yes!
x + y = 47 ;
36 + 11 =? 47 ? Yes!
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The numbers are: 36 and 11 .
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Answer:
x= -5
I hope this is the right answer. :)
Answer:
164.73 cm²
Step-by-step explanation:
Area of the shaded area = area of semi-circle - area of the triangle
Area of the semi-circle:
Area = ½(πr²)
r = ½ of 34 = 17 cm
π = 3.14
Area = ½(3.14 × 17²)
Area = 453.73 cm²
Area of the triangle:
Area = ½*b*h
b = 34 cm
h = 17 cm
Area = ½ × 34 × 17
Area = 289 cm²
Area of the shaded area = 453.73 - 289 = 164.73 cm²
To convert to a decimal, you can do long division, dividing 5 into 4. Or, you can realize 5/4 = 1 and 1/4, = 1.25. 125/100 is easier to see as a decimal. 125/100 = 1 and 25/100.