45L + 30D = 360 ...reduce by dividing by 15 = 3L + 2D = 24
65L + 35D = 470...reduce by dividing by 5 = 13L + 7D = 94
3L + 2D = 24......multiply by 7
13L + 7D = 94...multiply by -2
------------------
21L + 14D = 168 (result of multiplying by 7)
-26L - 14D = - 188 (result of multiplying by -2)
-----------------add
-5L = - 20
L = -20/-5
L = 4
3L + 2D = 24
3(4) + 2D = 24
12 + 2D = 24
2D = 24 - 12
2D = 12
D = 12/2
D = 6
so the loaves of bread (L) cost $ 4 per loaf and the buns (D) cost $ 6 per dozen
Answer:
<h2>x = 3/5</h2>
Step-by-step explanation:
1 = 1/3(10x - 3)
3 = 10x - 3
6 = 10x
x = 6/10
x = 3/5
Refer to the diagram shown below.
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Answer: Logarithmic
Explanation:
This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.
Answer:
y = 48
Step-by-step explanation:
y = 4 * 12
y = 48