29 is a prime number.
Factors of 29: 1 , 29
168 is a composite number, therefore you can find the prime factorization for it. Divide prime factors until what is left is a prime number. Use the tree factor. See attached picture:
Prime factorization of 168: 2, 2, 2, 3, 7
This is a true statement because it proves both sides are not equal
Y - y₁ = m(x -x₁)
slope m = -2, from point (10, -9) , x₁ = 10, y₁ = -9
y - y₁ = m(x -x<span>₁)
</span>y - -9 = -2(x - 10<span>)</span><span>
y + 9 = -2(x - 10) </span>
Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:
Rationalize the denominator by multiplying both numerator and denominator by √10:
Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):
Cost of Case of Juice: 20
Cost of Case of Water: 15
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Here, we let
cost of a case of juice = x
cost of a case of water = y
6x + 1y = 135...(1)
4x + 2y = 110.....(2)
Now, we multiply equation (1) by 2 and equation (2) by 1 and we get
12x + 2y = 270
4x + 2y = 110
Now, we subtract equation (1) from equation (2) and we get
8x = 160
x = 20
and y = 15
Hence, the Cost of a Case of Juice: 20
Cost of Case of Water: 15
To learn more about the equation from the given link
brainly.com/question/25976025
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