0.43h + 0.65p + 1.31d = c
explanation:
h stands for hotdogs, p for pretzels, and d for drinks. c represents the total cost.
each price next to the variable describes the profit per item.
hope this helps! :D
Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
![[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree](https://tex.z-dn.net/?f=%5Bx%2B2x%2B3x%5D%3D360%5Ctextdegree%5C%5C%5C%5C6x%3D360%5Ctextdegree%5C%5C%5C%5Cx%3D60%5Ctextdegree)
Hence, the arc measurement x is 60°
Answer:
16w^2 - 24w + 9
Step-by-step explanation:
To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,
a = 4w
and
b = 3
Now we just substitute into a^2 - 2ab + b^2
(4w)^2 - 2(4w)(3) + (3)^2
16w^2 - 24w + 9
Answer:
C) It is the only solution to the system.
Step-by-step explanation:
3x + 3y = -30
2x + y = -17
3(-7) + 3(-3) = -30
-21 + -9 = -30
-30 = -30
True
2x + y = -17
2(-7) + (-3) = -17
-14 + -3 = -17
-17 = -17
True
180^2 + 235^2 = (cliff base to point on bridge)^2
32400 + 55225 = 87625
so cliff base to point on bridge = sqrt of 87625.
Then notice 87625 + d^2 = (x+180)^2
since x^2 +235^2 = d^2,
substitute (x^2 + 235^2) for d^2, like this:
87625 + x^2 + 235^2 = (x+180)^2
87625 + x^2 + 55225 = x^2 + 360x + 32400
87625 + 55225 - 32400 = x^2 - x^2 +360x
360x = 110450
x = about 306.8 feet
h = x+180, so h = 486.8 feet
Remember d^2 = x^2 + 235^2, so
d^2 = 306.8^2 + 235^2
d^2 = 149354.6489
d = about 386.46 feet
