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2 years ago

I WILL GIVE BRAINLIEST!!!!

Mathematics

2 answers:

olganol [36]2 years ago

6 0

Answer:b i’m taking it rn

Alex787 [66]2 years ago

6 0

Answer:

Step-by-step explanation:

its c on edge

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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an

Aleks [24]

Answer:

The number of pens = 120 and the number of pencils = 200

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

So, the number of pens = 120 and the number of pencils = 200

7 0

2 years ago

A) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.

Fed [463]

Answer:

A) $a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}$

B) $a_{0} = a_{1} = 0$

C) for n = 2

$a_{2}$ = 1

for n = 3

$a_{3}$ = 3

for n = 4

$a_{4}$ = 8

for n = 5

$a_{5}$ = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : $2^{n-2}$ strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

$a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}$

b ) The initial conditions

The initial conditions are : $a_{0} = a_{1} = 0$

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

$a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}$

for n = 2

$a_{2}$ = 1

for n = 3

$a_{3}$ = 3

for n = 4

$a_{4}$ = 8

for n = 5

$a_{5}$ = 19

7 0

2 years ago

$4000 at 3% for 4 years find the interest and the total

My name is Ann [436]

Write 3/100=3/1 *4/1 =12

5 0

2 years ago

Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?

Mrac [35]

I believe it is 8.40

5 0

2 years ago

A rain storm came through Clifton park and it was accumulating 2/3 inches of rain/hour. How many inches of rain would fall in 6

nlexa [21]

4 inches of rain would fall in 6 hours

<h3>Solution:</h3>

Given that, A rain storm came through Clifton park

And it was accumulating $\frac{2}{3}$ inches of rain/hour

So amount of rain accumulated in 1 hour = $\frac{2}{3}$

Thus amount of rain accumulated in six hours is calculated by multiplying the amount of water accumulating per hour and 6

Amount of water accumulated in 6 hours = Amount of water accumulated in 1 hour $\times$ 6

$\text { Amount of water accumaulated in 6 hours }=\frac{2}{3} \times 6=4$

Another way:

Let "n" be the amount of rain accumulated in 6 hours

1 hour ⇒ $\frac{2}{3}$ rain accumulated

6 hours ⇒ "n"

By cross multiplication, we get

$6 \times \frac{2}{3} = 1 \times n\\\\n = \frac{2}{3} \times 6 = 4$

Hence, 4 inches of rain would fall in 6 hours.

4 0

2 years ago