Select the correct graph. The ideal speed of an elevator is 120 feet/minute. But the elevator's speed is allowed to vary by less than a certain amount. Identify the graph
of the variance levels that indicate unacceptable elevator speeds.
+200
180
-160
-140
20
+10
30
YA
+200
+180
+160
8 +140
8120
Variance in Speed (feet/second)
Variance in Speed
-50
40
+20
38 40 60 80 100 120 140 160 180 200 220 240 260 280
Speed (feet/second)
&+100
+80
+60
+40
-20
+ + +
-28 40 60 80 100 120 140 160 180 200 220 240 950 280
Speed (feet/second)
у
+200
+180
+-160
+-140
---120
&+100
y
200
-180
-150
140
120

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step-by-step explanation:

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

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step-by-step explanation:

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