Answer:
19 letters
Step-by-step explanation:
Suppose Number of Amy's full name letters = X
Number of Stephanie's full name letters = Y
Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',
Equation 1 becomes
Y = 2X-16
Now, according to second condition, product of their names' letter is 418. So,
Equation 2 becomes
XY = 418
Deducing value of X from equation 1,
X = (Y+16)/2
Putting this value in equation 2 we get,
{(Y+16)/2}*Y = 418,
By simplifying this equation we get a quadritic equation
(Y^2)+16Y-836=0
By breaking middle term (You can use quadratic formula here as well)
(Y^2)+38Y-22Y-836=0
Y(Y+38)-22(Y+38)=0
(Y-22)(Y+38)=0
At this stage we have two values for Y,
Y=22, or Y=-38
Now considering only positive value since the number of letters in a name can not be in negative number,
Y=22,
So X=(Y+16)/2
X=19
3 < 3x+6
-3<3x
-1<x
3x+6<24
3x<18
x<6
-1<x<6 the book is right
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:





<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
Answer:
18
Step-by-step explanation:
If 100% is 9 then you need to multiply by 2 to get 200% which is 18.
The simplified expression would be 6m-8n+4p