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2 years ago

Solve for x 41 – 3 = 7 Enter your answer in the box. X =

Mathematics

1 answer:

AnnyKZ [126]2 years ago

7 0

Answer: X= 2.5

Step-by-step explanation:

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The library has 27 chairs and 5 tables. If the same number of chairs is placed at each tables, how many chairs can be placed eac

Alik [6]

Answer:5

Step-by-step explanation:

27 chairs

5 tables

27/5

=5.4

6 0

2 years ago

Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the sa

fomenos

Answer:

Michelle bought a pack of crayon for $3.25

Step-by-step explanation:

Number of packs = 5

The cost of a pack of crayons =

(Cost of 5 packs of crayon) / (number of packs of crayons)

The cost of a pack of crayons = ($16.25 ) / 5

The cost of a pack of crayons = $3.25

3 0

2 years ago

Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating

bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

$0.3\bar1=0.31111...$

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

$0.31111...=n$

Since there is only 1 digit repeating, let's multiply everything by 10. So:

$3.1111...=10n$

Now, subtract n from both sides:

$3.1111-n=10n-n$

On the left, substitute the number for n. On the right, combine like terms:

$3.1111...-0.31111...=9n$

All of the 1s will cancel. So:

$3.1-0.3=9n$

Subtract:

$2.8=9n$

Divide both sides by 9:

$n=2.8/9$

Remove the decimal by multiplying both sides by 10:

$n=28/90$

Reduce:

$n=14/45$

And we're done!

Use a calculator to check:

$14/45\stackrel{\checkmark}{=}0.31111...$

7 0

2 years ago

How could you convert a rate of 18,000 mph to miles per second

Dmitrij [34]

Hi there,

(18000 miles / 1 hour)(1 hour / 60 minutes)(1 minute / 60 seconds) adds up to <span>18000 miles / 3600 seconds, which then adds up to </span><span>5 miles / 1 second...
</span>
you should get a total of 5 miles per second

I hope I helped :)

6 0

2 years ago

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

8 0

2 years ago