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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.
The first sentence → x - 2y = -1
the second one → 3x - 2y = -3
multiply the first one by -1
you can get → -x + 2y = 1
plus two sentences together
you can get → 2x = -2
so you are able to know that x = -1
and y = 0
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
