Answer:
8
Step-by-step explanation:
x^2 - 8 = 7x
x^2 - 7x - 8=0
(x - 8)(x + 1)=0
x - 8= 0 x + 1=0
x=8 x= -1
8 is the positive solution
Answer:
a
Step-by-step explanation:
youre welcome
2(3x-1) ≥ 4x-6
Distribute the 2 on the left side: 6x-2 ≥ 4x-6
Move terms to solve for x:
2x ≥ -4
x ≥ -2
Therefore, any value from -2 to ∞ are valid solutions.
Answer:
$3 from his pockets
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
To begin solving this problem we need to first calculate how much money all the supplies will cost. We do this buy adding up the prices of each individual supply. Like so,
Now we can see that the total amount of the supplies is $13. Since his mom loaned him $10 we can subtract that from the total cost.
Finally, we can see that Juan would need to pay a total of $3 from his pockets to be able to buy all the ingredients.
Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
