Answer:
There were 6 benches in park 1 and 18 benches in park 2.
Step-by-step explanation:
Let x be the no of benches in Park 1 and y in park 2.
Given that there are 12 more benches in park 2 than 1
Writing this in equation form, we have y = x+12 ... i
Next is if 2 benches were transferred from park 2 to park 1, then we have
x+2 in park 1 and y-2 in park 2.
Given that y-2 = twice that of x+2
Or y-2 = 2x+4 ... ii
Rewrite by adding 2 to both sides of equation ii.
y = 2x+6 ... iii
i-iii gives 0 = -x+6
Or x =6
Substitute in i, to have y = 6+12 = 18
Verify:
Original benches 6 and 18.
18 = 6+12 hence I condition is satisfied
18-2 = 2(6+2)
II is also satisfied.
Answer:
figure skates will be $1 cheaper.
Explanation:
<u>given equation</u>:
- to rent figure skates : f(x) = 1.50x + 2
- to rent hockey skates : h(x) = 2x +1.5
<u>solve for rent of figure skates</u>:
f(x) = 1.50x + 2.00
f(3) = 1.50(3) + 2.00
f(3) = 6.5
<u>solve for rent of hockey skates</u>:
h(x) = 2x + 1.5
h(3) = 2(3) +1.5
h(3) = 7.5
<u>cheaper - figure skates than hockey skates</u>:
$7.5 - $6.5
$1
Answer:
3 less than or equal to x less than or equal to 13
3 ≤ x ≤ 13
Step-by-step explanation:
Answer:
The number of hot beverages sold were 45 and the number of cold beverages sold were 180.
Step-by-step explanation:
Let the number of cold beverages sold be 
And the number of hot beverages sold be 
According to the question:
c=4
h...
1.5 c + 2 h = Sale of any day
Part1:
For Saturday.
The sale is of 360
then
1.5 c + 2 h = 360
Part 2:
Following the method of substitution.
And plugging the values of c=4 h...in equation where the sales of Saturday is given.
1.5 c + 2
h =360
1.5 4 h + 2 h =360
6 h + 2 h= 360
8 h=360
Dividing both sides with 8.
h=
h=45
Inserting h=45 in c=4 h...
we have c=4 45 = 180
So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.
I think it’s D because the ratio
