Q.250 cm3(cube) of the liquid weighs 125 grams. find the weight of 1000 cm3(cube) of the liquid.
Q.The cost of a long distance call lasting 20 seconds was 23.40 at this rate what was the cost of a call lasting 6 minutes 30 seconds.
#1
to get this, we just use ratio and proportion.
let x = weight of 1000 cm^3 liquid.
250 cm^3 : 125 g = 1000 cm^3 : x g
thus we can rewrite this as,
250/125 = 1000/x
solving for x,
2 = 1000/x
2x = 1000
x = 500 grams
#2
here, we also use ratio and proportion. first we convert 6 min and 30 seconds to seconds:
6 min = 360 seconds
thus 360 + 30 = 390 seconds
let x = cost of 390 second call
20 : 23.4 = 390 : x
thus,
20/23.4 = 390/x
0.855 = 390/x
x = 390/0.855
x = 456.3
hope this helps~ :)
To find the weight of 1000 cm3 of the liquid, we can set up a proportion using the given information:
250 cm3 = 125 grams
We can write the proportion as:
250 cm3 / 125 grams = 1000 cm3 / x grams
Cross-multiplying, we get:
250 * x = 125 * 1000
Simplifying, we have:
x = (125 * 1000) / 250
x = 500 grams
Therefore, the weight of 1000 cm3 of the liquid is 500 grams.
Next, to find the cost of a call lasting 6 minutes and 30 seconds, we can convert the time into seconds:
6 minutes = 6 * 60 = 360 seconds
30 seconds = 30 seconds
Total time = 360 seconds + 30 seconds = 390 seconds
Given that the cost of a call lasting 20 seconds is 23.40, we can find the cost of a call lasting 390 seconds using a proportion:
20 seconds / 23.40 = 390 seconds / x
Cross-multiplying, we get:
20 * x = 23.40 * 390
Simplifying, we have:
x = (23.40 * 390) / 20
x = 459.00
Therefore, the cost of a call lasting 6 minutes 30 seconds is 459.00.
To find the weight of 1000 cm3 of the liquid, we can set up a proportion based on the given information.
Given:
250 cm3 of liquid weighs 125 grams
We can set up the proportion as:
250 cm3 / 125 grams = 1000 cm3 / x grams
To find the value of x, we can cross-multiply and solve for x:
250 cm3 * x grams = 125 grams * 1000 cm3
x grams = (125 grams * 1000 cm3) / 250 cm3
x grams = 500 grams
Therefore, the weight of 1000 cm3 of the liquid is 500 grams.
To find the cost of a call lasting 6 minutes 30 seconds, we first need to convert the time duration to seconds.
Given:
A call lasting 20 seconds costs 23.40
To find the cost of a call lasting 6 minutes 30 seconds, we convert the time to seconds:
6 minutes = 6 * 60 = 360 seconds
30 seconds = 30 seconds
Total time = 360 seconds + 30 seconds = 390 seconds
Now, we can set up a proportion:
20 seconds / 23.40 = 390 seconds / x
To find the value of x, we can cross-multiply and solve for x:
20 seconds * x = 23.40 * 390 seconds
x = (23.40 * 390 seconds) / 20 seconds
x = 456.30
Therefore, the cost of a call lasting 6 minutes 30 seconds is 456.30.