Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost = 
∴ 4 coffees cost = 
and 12 coffee cost = 
∵ 1 latte cost = 
∴ 12 lattes cost = 
and 7 lattes cost = 
Now, as per question:
Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,
Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,
Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.
Answer:
5/9
Step-by-step explanation:
Start be letting x = 0.555...
Our original equation is:
x = 0.555...
There is only one digit repeating, the 5, so we multiply both sides of that equation by 10 and write it above the original equation.
10x = 5.555...
x = 0.555...
Now we subtract the second equation from the first equation as written above.
9x = 5
Divide both sides by 9.
x = 5/9
0.555... = 5/9
<span>twice the sum of a number and seven is 8
2(x+7)=8</span>
Answer:
The midpoint is (2.5,4.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(4+1)/2 = 5/2 = 2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+3)/2 = 9/2 = 4.5
The midpoint is (2.5,4.5)
The slope can be calculated with the following formula:
In this case, you have the following points:
