Answer: The cost of renting a chair is $2.5 while the cost of renting a table is $6
Step-by-step explanation: Let the cost chair rental be called h, while the cost of table rental shall be called t. To rent two chairs and five tables cost $35, so we can express this as
2h + 5t = 35
Also to rent eight chairs and three tables cost $38, and this too can be expressed as
8h + 3t = 38
We now have a pair of simultaneous equations as follows
2h + 5t = 35 ———(1)
8h + 3t = 38 ———(2)
We shall use the elimination method since all the unknown variables have coefficients greater than 1.
Multiply equation (1) by 8 and multiply equation (2) by 2. We now have
16h + 40t = 280 ———(3)
16h + 6t = 76 ———(4)
Subtract equation (4) from (3)
34t = 204
Divide both sides of the equation by 34
t = 6
Having calculated that, substitute for the value of t into equation (1)
2h + 5(6) = 35
2h + 30 = 35
Subtract 30 from both sides of the equation 2h = 5
Divide both sides of the equation by 2
h = 5/2 or (2.5)
Therefore the cost of rental for each chair (h) is $2.5 and the cost of rental for each table (t) is $6
Answer:
2400 coins
Step-by-step explanation:
What we should do is calculate the Least Common Multiple of 80 and 75, since each of us put together a group with this amount of coins, this way we will know the amount of coins when they are equal.
To obtain the L.C.M
you have to factor both numbers and multiply the numbers whose exponent is the highest, it looks like this:
75 = 5 ^ 3
80 = 2 ^ 4 * 5
We multiply those with the highest exponent,
5 ^ 3 = 75
2 ^ 4 = 16
75 * 16 = 1200.
L.C.M. is 1200.
Since they tell us that they have less than 2000 coins, this is the correct answer, because when assembling these groups in this way, they coincide again in 2400, which is over the limit.
So, each one has 1200 coins, in total it would be:
1200 * 2 = 2400
Between them they have a total of 2400 coins
I hope it helps :DD You can leave a comment if you do not understand :)
The integers are 12, 14.
Solution:
Let the even consecutive integers be x and x + 2.
Lesser number = x and Greater number = x + 2
Lesser number = Half of greater number + 5
To add the numbers, denominators must be same. So multiply 5 by 
.
Multiply by 2 on both sides, we get
⇒ 2x = x + 12
Subtract x from both sides.
⇒ x = 12
Lesser number = 12
Greater number = 12 + 2 = 14
Hence the integers are 12, 14.
The x intercept would be 2/4x and the y would be 2:)
