Answer:
She can buy no more than 22 decorations
Step-by-step explanation:
The costs for the party are food and decorations
Cost = food + decorations * costs per decoration
We can spend no more than 300
Food is 75
Decorations are 10 each
Let d= the number of decorations
300 >= 75 + 10 * d
Subtract 75 from each side
300-75 >= 75-75 + 10 * d
225 >= 10d
Divide each side by 10
225/10 >=10d/10
22.5 >=d
She can buy no more than 22 decorations
Answer:
5 to the 15th power.
Step-by-step explanation:
PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!
Answer:
(x - 6)(x + 4)
Step-by-step explanation:
x^2 -2x-24
-24 = -6 * 4
- 6 + 4 = -2
So
x^2 -2x-24 = (x - 6)(x + 4)
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20