9514 1404 393
Answer:
a^4·m^4·n^8
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
m^2n^3 aanm^2a^2n^4
= a^(1+1+2)·m^(2+2)·n^(3+1+4)
= a^4·m^4·n^8
Answer:
Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
__
2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.
Answer:
0.67
Step-by-step explanation:
2.01 is the total for three oranges.
the math would be 2.01 ÷ 3 = 0.67
to check your answer:
if one orange equals 0.67 and you have three of them
the math would be 3 × 0.67 = 2.01
Answer:
No
Step-by-step explanation:
Please write: "Determine whether y+x=1 shows direct variation."
No, it does not, because of the constant term, 1.
If we were to eliminate the 1 and write y + x = 0, then yes, this would represent direct variation.
Step-by-step explanation:
Total amount of cookies = 4250
butter cookies, b
Almond cookies, a
Chocolate cookies, c
It made 715 more butter cookies than
almond cookies
b = a + 715
It made 5 times as many chocolate cookies as almond
5a = c
Total amount of cookies
= a + b + c
= a + (a+715) + (5a)
= 7a + 715
7a + 715 = 4250
7a = 4250-715
a = 3535 / 7
a = 505
c = 5a
= 5 (505)
= 2525
The factory make 2525 chocolate cookies.
