To find this:
10*____=24
The blank is 2.4, which is the scale factor
From the table, we can observe that the formula for the total cost of item is
From the data in the table, cost of item 6.00 has the input incorrect because the sum of the cost of its item and tax on the item is,
but the total cost was incorrectly inputed as 7.56.
Hence, the correct option is Option A.
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y = -4x
When x = 4, y = -16
When y = 20, x = -5
Step-by-step explanation:
First off, definitions: Direct variations refers to two variables being related with neither being the denominator of a fraction. (nothing along the lines of y = 1/x)
So, given that, I simply found what the ratio was between the two values. Something like buying gas at the gas station. The ratio between the gas you get and the money you pay is the price per gallon of gas. In this case, the proportion is -4 (-16 divided by 4).
Thus we have a relationship. For each y, you have negative four x's. Thus, y = -4x.
Finding the value of x when y = 20 simply requires plugging values in. Remember, a fundamental principle in all of Algebra is substitution. If two things are equal, they are interchangeable. So, if you saw "3 + 4" in a mathematical expression, you could simply erase it and write 7, so long as no other mathematical rules (multiplication before addition, for instance) interferes.
Thus, if y = 20, we can take our original equation and replace y with 20.
y = -4x => 20 = -4x
Then, simply solve for x, keeping in mind that when two items in math are written against each other, it means multiplication. Thus, we reverse the multiplication to division and divide both sides of the equation by -4.
20 / -4 = -5
Answer:
2(4a - 4b) + 4(3a + 2b) = 20a
Step-by-step explanation:
2(4a - 4b) + 4(3a + 2b)
8a - 8b + 12a + 8b
8a + 12b - 8b + 8b
20a+ 0 = 20a
Thus, 2(4a - 4b) + 4(3a + 2b) = 20a
<u>-TheUnknownScientist</u>
