Answer: 13 packages.
Step-by-step explanation:
This can be translated to:
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages. What is the largest number of packages that Tim can do?
To solve this we must find the largest common factor between 39 and 13.
to do this, we divide the smaller number by different integers, and see if the result also divides the larger number into an integer.
13/1 =13 and 39/13 = 3
So 13 is the largest common factor.
This means that we can make 13 packages, each with:
39/13= 3 headphones
13/13 = 1 music players
Answer:
<u>44 cows and 36 ducks.</u>
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
<u>y = 44 [There are 44 cows]</u>
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
<u>y = 36 [There are 36 ducks]</u>
========================
Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
<u>YES</u>
Answer:
your answer will be 8
Step-by-step explanation:
thank you!!
Answer:
12
Step-by-step explanation:
Use the PEMDAS
there is a parenthesis and exponents
9/3{(8) - 4)}
Multiply and divide 9/3= 3
Also subtract 8-4 = 4
3{8-4}
3(4)= 12
C
A slope of

means that for every time x goes up by 3, y goes up by 4.
28 - 22 = 6 which is 2 times 3.
while 10-2 = 8 which is 2 times 4.
This fits the slope.