3 and 2/3 hours.
Multiply the number of hours Dominic spent by the scale factor.
Answer:No
Step-by-step explanation:200 is 1 tenth of 2000 because 200 can go into 2000 10 times exactly. If you want to think about it this way 200 times 10 equals 2000
Answer:
B
Step-by-step explanation:
The number is between 10 and 49
The number is divisible by 3
Let the 10s digit = x
Let the units digit = y
1/3 * (10x + y) = x + y multiply both sides by 3
10x + y = 3(x +y) remove the brackets.
10x +y = 3x + 3y Subtract 3x from both sides
10x - 3x + y = 3y Combine\
7x + y = 3y Subtract y from both sides.
7x = 3y - y Combine
7x = 2y
x can't be very big. Even taking 1/3 will get out of range is you use 6.
Also x should be an even number. The units digit cannot have a fraction in it.
Try making x = 2
7*2 = 2*y
14 = 2y Divide by 2
14/2 = y
y = 7
So the number is possibly 27. Let's check it out.
- The number is between and includes 10 and 49. 27 is between these two endpoints.
- 27 is divisible by 3
- 1/3(27) = sum of digits
- 9 = (2 + 7)
All of the conditions are met. It's B
(X+7)(x+4). 7 times 4 equals 28 while also equaling 11 when added. You use the Foil Method to check you answer (First, Outer, Inner, Last).
(7x^3 – 4x^2) + (2x^3 – 4x^2)
Add 2x^3 to 7x^3
(9x^3 - 4x^2) + (-4x^2)
Add -4x^2 to -4x^2. This would be the same as subtracting 4x^2 from -4x^2
Final Answer: 9x^3 - 8x^2
*The answer cannot be broken down anymore. It's in it's simplest form.
