1. You got that one right ;)
2. 3(x+12)
3. c/3+10
4. 2+6x
5. 2/3x-11
6. 2(c-4)
7. 9x-7
8. 6x+7x
9. x+2x
10. 1/4x+11
To work out this question, you need to think of what ratio there is of white cars to yellow cars.
You know that there are 9 times as many white cars as yellow cars.
This means for every white car you have, you have 9 yellow. 1:9.
So for every 10 cars we have (9+1) we have 1 white car and 9 yellow cars.
Next, we take the total number of cars (40) and divide it by the total number of white+yellow cars we have (10)
40 / 10 = 4.
Now, we times 4 by the numbers in the ratio.
1 x 4 = 4.
9 x 4 = 36.
We can double check this by doing 36 / 4 = 9.
We know that Rafael counted 4 white cars.
-3.509 is greater because -3.509 is closer to 0 than -5.2.
Hope this helps!
Answer:
A = 1701,38 ft²
Dimensions :
x (north and south sides ) = 38.89 ft
y ( east and west sides ) = 43,75 ft
Step-by-step explanation:
North and south (sides of same length) equal "y" cost (4 + 5 ) = 4,5 $/ft²
East and west (sides of same length) equal "x" cost ( 3 + 5 ) = 4 $ /ft²
Equation of cost is
C = Cost of (north + south ) + Cost (east + west)
C = 2 * 4,5 * x + 4*2* y
C = 9x + 8y
700 = 9x + 8y ⇒ y = ( 700- 9x)/ 8
A = x*y
A(x) = x * ( 700 - 9x ) /8
A(x) = ( 700 x -9x²) / 8 A´(x) = ( 700 - 18 x )/ 8 A´(x) = 0
( 700 - 18 x )/ 8 = 0 ⇒ 700 - 18 x = 0 ⇒ x = 700/18
x = 38.89 ft
y = ( 700 - 9x )/8 ⇒ y = 349.99 / 8 ⇒ y = 43.75
And maximum ara is
A = x*y A = 38.89 * 43.75 = 1701,38 ft²
