Answer:
180 eggs is the correct amount.
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
1) 160 (less than or equal to) 42+65+x OR 53
2) 2000 (greater than or equal to) 637+x OR $1363
3) 1st piece: 5ft
2nd piece: 10ft
3rd piece: 6ft
Step-by-step explanation:
1) You must reach at least 160 blankets. Some have already been added, so just add the total to "x"
2) Your brother already spent $637 of 2000 dollars.
Answer:
Plan B
Step-by-step explanation:
If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A
but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B
6x + 1 = 2x + 10 + 79
6x + 1 = 2x + 89
4x = 88
x = 22
