Answer:
<h2>248 Songs</h2>
Step-by-step explanation:
<h3>
Step 1; Set up an equation</h3>
4l + 6l + l = 682
<h3>Step 2: Add like terms</h3>
11l = 682
<h3>Step 3: Divide by 11</h3>
l = 62
Lou has 62 songs
<h3>Step 4: Multiply by 4</h3>
Kelly has 248 songs
<h3>Step 5: Check</h3>
Kelly has 248 songs
Lou has 62 songs
Tiffany has 372 songs
Is 248 4 times 62? ✔
Is 372 6 times 62? ✔
Is 248 + 372 + 62 = 682? ✔
<h3>Step 6: Answers</h3>
Kelly has 248 songs
Lou has 62 songs
Tiffany has 372 songs
I'm always happy to help :)
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
I believe the answer is 3 3/4.
Answer:
y =10
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 0 and (x0, y0) = (4, 10)
On substituting;
y - 10 = 0(x-4)
y - 10 = 0
y = 0+10
y = 10
Hence the required equation of the line is y =10
Answer:
Cooking will be shortest when the househusband covers the beef stew with the heavy lid.
Step-by-step explanation:
The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.
So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.
If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.
If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.
Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.
