Answer:
Let x = the unknown cost of a single hot dog and y = the unknown cost of a single soft drink. We have two unknowns so we need two equations to find them.
Equation 1 - 10 hot dogs and 5 soft drinks cost $35; that is 10x + 5y = 35
Equation 2 - 7 hot dogs and 4 soft drinks cost $25.25; that is 7x + 4y = 25.25
First let's re-write equation 1 to solve for y:
10x + 5y = 35
5y = 35 - 10x (subtract 10x from both sides)
y = 7 - 2x (divide both sides by 5)
Next, let's substitute 7 - 2x for y in equation 2:
7x + 4y = 25.25
7x + 4(7-2x) = 25.25
7x + 28 - 8x = 25.25
-x + 28 = 25.25
x - 28 = -25.25
Solve for x, the cost of a single hot dog. Once you have that, use y = 7 - 2x to find the cost of a single soft drink.
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
step 1
Find the slope m
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(10,5) and (2,-3)
substitute the values
step 2
Find the equation of the line in slope intercept form
we have
substitute and solve for b
The linear function is equal to
This isn't a math question, but I'll answer it anyways :)
Monotheistic means the religion only believes in one God. Examples of these are:
Christianity, Judaism, and Islam
So the answer would be D.
Hope that helped :) <span />
Answer:
x = 9.6 in
Step-by-step explanation:
The scale factor is 8:10 (difference in length.) This is simplified down to 4:5.
Method 1 (easier):
4/5 × 12 = 9.6 in.
Method 2 (harder but more comprehensive):
<em>cross-multiply</em>
<em>
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