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schepotkina [342]
3 years ago
15

Assume that y varies directly with

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0

Answer:

x = 4/3

Step-by-step explanation:

Direct variation:

y = kx

We use the given x-y point to find k.

6 = k * 2/3

k = 6 * 3/2

k = 9

The equation is

y = 9x

For y = 12,

12 = 9x

x = 12/9

x = 4/3

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The school is 3.64 miles from Tonyas house and 1.29 miles from Jamal's house.
SpyIntel [72]

Answer:

2.35 miles

Step-by-step explanation:

5 0
2 years ago
A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solut
sergey [27]

Answer:

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

Step-by-step explanation:

Given the data in the question;

If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?

dA/dt = rate in - rate out

first we determine the rate in and rate out;

rate in = 3pound/gallon × 5gallons/min = 15 pound/min

rate out = A pounds/1000gallons × 5gallons/min  = 5Ag/1000pounds/min

= 0.005A pounds/min

so we substitute

dA/dt = rate in - rate out

dA/dt =  15 - 0.005A

Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt =  15 - 0.005A

Option C) dA/dt =  15 - 0.005A is the correction Answer

8 0
3 years ago
Each interior angle of the regular n-gon has a measure of 140
xeze [42]
Sum of internal angles of any polygon is: (n-2)x180
So measure of an interior edge is ( ( n - 2 ) x 180 ) / n = 140
So 140n = 180n - 360
40n = 360
n = 9
So it's a nonagon.

Hope this helps :)
6 0
3 years ago
11.447 is greater than 11.473
Stells [14]
No 11.473 is greater then 11.447
8 0
3 years ago
5. For Which value of x is line L parallel to line m?
laiz [17]

Answer:

x=22

Step-by-step explanation:

we know that

If line l is parallel to line m

then

130\°+(2x+6)\°=180\° -----> by supplementary angles (consecutive interior angles)

solve for x

136+2x=180

2x=180-136

2x=44

x=22

4 0
3 years ago
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