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ArbitrLikvidat [17]
3 years ago
11

Find y when x=14 if y varies inversely as x and y=5 when x=8

Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0
Y = k/x
5 = k/8
k = 5 x 8 = 40
Therefore,
y = 40/14 = 2.86
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Please help me I need assistance
lawyer [7]

(\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}

3 0
2 years ago
Solve the equation for the variable specified. df + 10h = 3 Solve for d. A. d 3= 10h f B. d. 3- 10h f C. d = 3 - 102 D. d = f(3
Nesterboy [21]

Answer:

Step-by-step explanation:

d= (3-10h)/f

6 0
3 years ago
A recipe calls for 3 3/4 cups of flour and Jen put 2 1/3 in a bowl already how much more flour does she need
erma4kov [3.2K]

Answer:

1 5/15

Step-by-step explanation:


3 0
3 years ago
A log raft is moving downstream at a speed of 3 km/h. To insure that there are no river jams a supervisor travels along the raft
skad [1K]

Answer:

2000 meters

Step-by-step explanation:

When the motorboat is moving downstream, its speed relative to the ground is 18 km/h, so its speed relative to the raft is 15 km/h.

When the motorboat is moving upstream, its speed relative to the ground is 12 km/h, so its speed relative to the raft is again 15 km/h.

Converted to m/min, the relative speed is:

15 km/h × (1000 m/km) × (1 h / 60 min) = 250 m/min

It takes the motorboat 16 minutes to travel to the front of the raft and back.  Since the speed is the same in both directions, the motorboat takes 8 minutes to travel the length of the raft.

So the length of the raft is 250×8 = 2000 meters.

8 0
3 years ago
A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
vovikov84 [41]

Answer:

6.68 %.

Step-by-step explanation:

The standardised z-score = ( 10.95 - 10.5) /  0.3

= 1.5.

Looking up the Normal Distribution tables ( area to the left) 1.5 corresponds to  0.93319 so for   a  weight above 10.95 the proportion is

1 - 0.93319 = 0.06681

= 6.68%.

4 0
3 years ago
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