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3 years ago

If t varies as v, and t = 2 when v =, find v when t = 2

1 answer:

5 0

I think you may be a bit confused. v would still equal that non-existent number that v was prior to having nothing change with t...

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What is 4.510 in word form

Crazy boy [7]

four and fifty-one hundredths

7 0

3 years ago

Read 2 more answers

Prove that: 5^31–5^29 is divisible by 100.

ANEK [815]

Answer:

See explanation

Step-by-step explanation:

Consider the expression

$5^{31}-5^{29}$

First, factor it:

$5^{31}-5^{29}=5^{29}\cdot(5^2-1)=5^{29}\cdot (25-1)=24\cdot 5^{29}$

Note that

$100=25\cdot 4$

Then

$5^{31}-5^{29}=24\cdot 5^{29}=6\cdot 4\cdot 25\cdot 5^{27}=6\cdot 100\cdot 5^{27}$

This shows that number 100 is a factor of the expression $5^{31}-5^{29}$ and, therefore, this expression is divisible by 100.

5 0

3 years ago

In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did

Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

This means:

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

Let

Hours slept = 1x and hours awake = 3x

Hence,

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

So,

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

$\rule[225]{225}{2}$

Hope this helped!

6 0

3 years ago

By what scale factor is the larger container increased? A. 2 B. 2.75 C. 2.25 D. 2.5

lys-0071 [83]

Answer:

I think A, but i'm not the smartest

Step-by-step explanation:

4 0

3 years ago

A mother is 26 years older than her daughter. The daughter is one-third her mother's age. How old is each now? When will the mot

marshall27 [118]

Answer:

now: daughter: 13, mother: 39
then: daughter: 26, mother: 52

Step-by-step explanation:

If the daughter's age is 1/3 the mother's age, the difference in their ages is ...

1-1/3 = 2/3

the mother's age. The daughter's age is half that (1/3 the mother's age), so the daughter's age is 26/2 = 13 years. The mother's age is 13+26 = 39 years, which is 3 times the daughter's age.

The daughter is 13 now; the mother is 39.

When the mother is twice as old, the daughter's age will be equal to their age difference: 26. The mother's age will be 26 +26 = 52

When the mother is twice as old, she will be 52, and the daughter will be 26.

_____

Additional comment

You can assign variables and write equations that will give you the same result. If you let d and m represent the daughter's age and the mother's age, respectively, you could write the system ...

m = d +26

d = m/3

Substituting for d, you get ...

m = m/3 +26

2/3m = 26 . . . . . . subtract m/3

Note that this is the relationship we came to in the discussion above.

When an age difference is given, you know it will remain the same throughout the problem. Everybody ages at the same rate, so the difference is constant. As we have done above, it is often useful to compare the age difference to the difference in ratio units. This tells you the size of a ratio unit.

3 0

3 years ago