Answer:
$11
Step-by-step explanation:
Set up the system of equations
18x + 9y = 45
20x + 12y = 52
Let's try to get y on one side for the first equation.
9y=45-18x
y=5-2x
Now substitute it into the second equation.
20x + 12(5-2x) = 52
20x + 60 - 24x = 52
-4x = -8
x = 2
Now solve for y using the first equation.
18(2) + 9y = 45
36 + 9y = 45
9y = 9
y = 1
Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.
4(2) + 3(1) = z
8 + 3 = z
11 = z
That means that the price is 11 dollars.
Answer:
Step-by-step explanation:
2x + 3y = 4
When y = 34
2x + 3(34) = 4
2x + 102 = 4
2x = 4 - 102
2x = - 98
x = -98/2
x = - 49
Answer:
10% decrease
Step-by-step explanation:
The formula for percent change is:
Therefore, for this example:
The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.
9514 1404 393
Answer:
- Ram -- ₹1200
- Kalpana -- ₹800
Step-by-step explanation:
Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.
Ram receives 0.6 × ₹2000 = ₹1200
Kalpana receives 0.4 × ₹2000 = ₹800
The reciprocal of 3/5 is 5/3.
To get the reciprocal of a fraction, just turn it upside down.
A fraction has a numerator, top number, and a denominator, bottom number.
To get the reciprocal of a fraction, just swap over the numerator and denominator.
If whole numbers, to get the reciprocal of whole number, just divide the whole number by 1 to make it into a fraction, then get the reciprocal of that fraction.
