Answer:
Step-by-step explanation:
2.7*4=10.80
27*0.4=10.80 we multiplied 27 by 10 but divide 4 by 10
0.27*40=10.80
Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
The direct path back forms a right triangle. Use the Pythagorean theorem:
X = sqrt(4^2 + 2^2)
X = sqrt(16 + 4)
X = sqrt(20) = 2sqrt(5)
X = 4.472
Round the answer as needed.
-2y + 5z = -3
y = -5x - 4z - 5
x = 4z + 4
-2(-5(4z + 4) - 4z - 5) + 5z = -3
-2(-20z - 20 - 4z - 5) + 5z = -3
-2(-20z - 4z - 20 - 5) + 5z = -3
-2(-24z - 25) = -3
48z + 50 = -3
<u> - 50 - 50</u>
<u>48z</u> = <u>-53</u>
48 48
z = -1⁵/₄₈
x = 4(-1⁵/₄₈) + 4
x = -4⁵/₁₂ + 4
x = ⁵/₁₂
y = -5(⁵/₁₂) - 4(-1⁵/₄₈) - 5
y = -2¹/₂ + 4⁵/₁₂ - 5
y = 1¹¹/₁₂ - 5
y = -3¹/₂
(x, y, z) = (⁵/₁₂, -3¹/₂, -1⁵/₄₈)
The prime factorization of 16 is 2⋅2⋅2⋅2.
The factors of 16 are all numbers between -16 and 16 that divide 16 evenly.−16,−8,−4,−2,−1,1,2,4,8,16