Answer:
f = .39
Step-by-step explanation:
d (v) = 2.15 v^2 / (64.4 f)
v = 40
d = 138
substitute these in
138 = 2.15 (40)^2 / (64.4 *f)
simplify
138 = 2.15 (*1600) / (64.4 *f)
138 = 3440 / (64.4 *f)
multiply each side by 64.4f
138 * 64.4 f = 3440
8887.2 f = 3440
divide by 8887.2
8887.2 f /8887.2= 3440/8887.2
f=.38707
to the nearest hundredth
f = .39
Answer:
1) B- Substitution
2) C- Elimination
3) A- Graphing
Step-by-step explanation:
1)
x+3y=7
5x+11y=3
x = 7 - 3y
Plug this x into the second equation and solve for y first
2)
5x-3y=3 --> (1)
2x+7y=6 --> (2)
Since making any variable the subject would involve fractions, it's better to go for elimination
7(1) + 3(2)
would eliminate y
3)
While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front
There 2 angles are corresponding angles, in which the angle measurements would have the same degree.
Set the two angles equal to each other, and solve for x.
7x - 1 = 8x - 14
Isolate the x. Subtract 8x from both sides, and add 1 to both sides
7x (-8x) - 1 (+1) = -14 (+1)
7x - 8x = -14 + 1
-x = -13
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-13)/-1
x = -13/-1
x = 13
13 is your answer for x.
~
compare the triangles ΔABC and ΔBCD
∡ABC = ∡BCD (given)
AB = CD (given)
BC = BC (common) } = > (SAS) ΔABC ≡ ΔBCD = > AC = BD
Company A : 13 + 30m.....where m = # of mattresses
company B : 15 + 28m.....where m = # of mattresses
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company A : cleaning 4 mattresses : 13 + 30(4) = 13 + 120 = 133
company B: cleaning 4 mattresses : 15 + 28(4) = 15 + 112 = 127
so company B would charge less
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company A : cleaning 7 mattresses : 13 + 30(7) = 223
company B: cleaning 7 mattresses: 15 + 28(7) = 211
so by using company B, u would save : 223 - 211 = $ 12