For the answer to the question above asking, w<span>hat was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is t</span><span>he next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve,
</span> .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is
241 cans of juice
Step-by-step explanation:
Divide 180 by 3 = 60
Divide 150 by 2 = 75
The faster vehicle is truck and its speed is 75 mph
Answer: the group rented 11 Person tubes and 4 cooler tubes
Step-by-step explanation:
There are two types of tubes, Person tube and cooler tube.
Let P represent number of Person tubes that the group rented.
Let C represent number of Cooler tubes that the group rented.
The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information
P + C = 15 - - - - - - - 1
20P + 12.5C = 270 - - - -- - - 2
Substituting P = 15 - C into equation 2,
It becomes
20(15-C) + 12.5C = 270
300 - 20C + 12.5C = 270
- 20C + 12.5C = 270 -300
7.5C = - 30
C = 30/7.5 = 4
P = 15 - C
P = 15 - 4 = 11
Answer:
x=12
Step-by-step explanation:
For the given situation , a quantity x is added to 
gives 15.
We can set up equation as
Multiply each term by 4 on both sides to get rid the denominator.
It gives,
4 x+x=60
Now, combine like terms
5 x=60
Divide both sides by 5
x=12.
Answer:
Step-by-step explanation:
∩ 
is asking for the intersection of sets 
and , or simply, which numbers can be found in both sets.
The numbers shared between the two sets are 
.
Next, we need to union this result with the set 
, or simply, combine the numbers in both sets together.
This would result in 
