5c + 30 because you use the distributive property 5 x c + 5 x 6
Answer:
Carmen is $ 27, Henry is $ 80, and Goran is $ 20.
Step-by-step explanation:
be Carmen's money "c", Goran's "g" and Henry's "h"
Now, we organize the equations and we are left with:
c + g + h = 127
h = 4 * g
c = g + 7
replacing in the main one we have:
g + 7 + g + 4 * g = 127
6 * g = 127 - 7
g = 120/6
g = 20
now replacing:
h = 4 * 20 = 80
c = 20 + 7 = 27
therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.
Answer:
JL ≈ 32
Step-by-step explanation:
The triangle JKL has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.
Let us find side the angle J first from the triangle JKM. Angle JMN is 90°(angle on a straight line).
using the cosine ratio
cos J = adjacent/hypotenuse
cos J = 18/24
cos J = 0.75
J = cos⁻¹ 0.75
J = 41.4096221093
J ≈ 41.41°
Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore, 180 - 41.41 - 90 = 48.59
Angle L = 48.59
°.
Using sine ratio
sin 48.59
° = opposite/hypotenuse
sin 48.59
° = 24/JL
cross multiply
JL sin 48.59
° = 24
divide both sides by sin 48.59
°
JL = 24/sin 48.59
°
JL = 24/0.74999563751
JL = 32.0001861339
JL ≈ 32
12 twenty dollar bills and 3 fifty dollar bills
4.0895 is the answer of the question
