Answer:
3.
A = 11
B = -4
C = 7
D = 27
Step-by-step explanation:
Answer:
Four consecutive numbers are 2, 6, 10 and 14
Step-by-step explanation:
15(a² - 9d²) = 7(a² - d²)
15a² - 135d² = 7a² - 7d²
15a² - 7a² = 135d² - 7d²
8a² = 128d²
Putting the value of a = 8 in above we get.
8(8)² = 128d²
128d² = 512
d² = 512/128
d² = 4
d = 2
So, the four consecutive numbers are
8 - (3*2)
8 - 6 = 2
8 - 2 = 6
8 + 2 = 10
8 + (3*2)
8 + 6 = 14
Answer:
it has a lower mass/volume ratio
Step-by-step explanation:
Density is the ratio of mass to volume. An elevator will have the same volume, regardless of the number of people. The mass will increase with the number of people.
An elevator with 50 people in it will have a higher mass/volume ratio than an elevator with 3 people in it. Hence the latter is less dense.
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<em>Additional comment</em>
50 persons would require an industrial elevator of perhaps 10,000 pound load capacity. There might be safety issues with carrying that many people.
We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is

Also, if James can do it in 5 hours, then his working rate is

Let

be the hours that both will use to complete the sales route,
Then rate at which both completes this task is

Meaning if we add their individual rates we should get

That is;

The LCM is

So let us multiply through with the LCM.


We simplify to get,

Dividing through by 9 gives;


Therefore the two will complete sales route in

hours.