Answer:
$200
Step-by-step explanation:
Let X be the amount of Christmas money he had at the beginning.
He put 65% of X in the bank. This is 0.65x
He has $70 left which is equal to 0.35x
We need to write an equation to find the value of x.
70 = 0.35x
Divide by 0.35 to find the value of x.
70/0.35 = 0.35x/0.35
200 = x
He received $200 for Christmas.
Answer:
6/24
Step-by-step explanation:
Answer:
<em>1) y = (x-3)²-12</em>
<em>2) y = 5(x-2)²-9 </em>
Step-by-step explanation:
Given the quadratic expressions
y=x²-6x-3
We are to transform it in the form y=ax²+bx+c
y=(x²-6x)-3
Complete the square of the expression in parenthesis
y = (x²-6x + (6/2)² - (6/2)²)-3
y = (x²-6x+3²-3²)-3
y = (x²-6x+9-9)-3
y = (x²-6x+9)-12
y = (x²-3x-3x+9)-12
y = x(x-3)-3(x-3)-12
y = (x-3)(x-3)-12
y = (x-3)²-12
Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12
For the quadratic equation
y=(5x²-20x)-5
y = 5(x²-4x)- 5
Complete the square of the expression in parenthesis
y = 5(x²-4x+4-4)- 5
y = 5(x²-4x+4)-9
y = 5(x-2)²-9
<em>Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9</em>
Answer:
The conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Step-by-step explanation:
As given
1 yard = 3 feet
1 foot = 12 inches
1 inch = 2.54 cm
Take
1 inch = 2.54 cm
Mutiply above by 12.
1 × 12 inch = 2.54 × 12 cm
12 inch = 30.48 cm (As 1 foot = 12 inches )
Thus
1 foot = 30.48 cm
Multiply above by 3
1 × 3 foot = 30.48 × 3 cm
3 foot = 91.44 cm (As 1 yard = 3 feet )
1 yard = 91.44 cm
Thus the relationship between the yard and centimeter is given by.
1 yard = 91.44 cm
Now convert 2 yards to centimeters .
2 yards = 2 × 91.44 centimeters
= 182.88
= 183 centimeter (Approx)
Therefore the conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Answer:
The answer is <u>x = 65 - 60y.</u>
Step-by-step explanation
