Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = 
× z ........1
Blue eggs = 
× z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
× z + + 26 = z
+ 26 = z ∵GCF for 4 and 7 is 28
+ 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = 
⇒ z = 56
Total number of eggs = z = 56
Answer:
94.5 square inches :)
Step-by-step explanation:
For this case we must represent the following expression algebraically, in addition to indicating its result:
"2 plus 9"
So, we have:
By law of the signs of the sum, we have that equal signs are added and the same sign is placed:
ANswer:
11
Answer:
-3x² - 10x - 16 r. 
Step-by-step explanation:
You can easily do this through synthetic division:
First step is to get all the numeric coefficients of the expression and write them down. Don't forget to bring their signs along with them.
-3x³ - 4x² + 4x +3
| -3 -4 +4 +3
|______________
Next we find the root that is associated with the divisor:
x - 2 = 0
x = 2
We use this and put it outside:
2 | -3 -4 +4 +3
|______________
Okay now we bring down the first coefficient:
2 | -3 -4 +4 +3
|______________
-3
Then we multiply it by the root and put the product under the next coefficient:
2 x - 3 = -6
2 | -3 -4 +4 +3
|<u> -6 </u>
-3
Then we add them:
2 | -3 -4 +4 +3
|<u> -6 </u>
-3 -10
Do the same steps until the end:
2 | -3 -4 +4 +3
|<u> -6 -20 -32 </u>
-3 -10 -16 -29
Now that you have that, remember that since the divisor is in the 1st degree, quotient will have a degree will be one degree below as well.
-3x² - 10x - 26
Your last coefficient is going to be your remainder:
-3x² - 10x - 16 r.
Step-by-step explanation:
