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3 years ago

The sum of four times a number and one is equal to the difference of twice the number and 9

Mathematics

1 answer:

andrezito [222]3 years ago

3 0

(4n+1)=(2n-9)

the sum of four times a number and one is equal to the difference of twice the number and 9

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A concert organizer anticipates selling 4,000 tickets and that a quarter of these will be sold at 20% reduction of original pric

Deffense [45]

Answer:

$ 15.79

Step-by-step explanation:

Let x be the price of full ticket,

∵ Total number of tickets = 4000,

Quarter of 4000 tickets = $\frac{4000}{4}$ = 1000,

Remaining tickets = 4000 - 1000 = 3000,

Since, if the price of each ticket is reduced by 20%,

Then the new price of each ticket = (100 - 20)% of x

= 80% of x

= 0.80x,

According to the question,

The total price of quarters of ticket + total price of remaining tickets = $ 60000

= 0.80x × 1000 + x × 3000 = 60,000

800x + 3000x = 60,000

3800x = 60,000

⇒ x ≈ 15.79

Hence, the price of full ticket is approximately $ 15.79.

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3 years ago

Quality control finds on average that 0.026% of the items from a certain factory are detective. One month, 4000 items are checke

telo118 [61]

Given that 4000 items are checked in one month, let the number of detective items be represented as y.

Quality control finds on average that 0.026% of the items in the factory are detective. This implies that

$\text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked}$

When 4000 items are checked, we have the number of detective items to be evaluated as

$\begin{gathered} \text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked} \\ y=\frac{0.026}{100}\times4000 \\ \Rightarrow y=1.04 \end{gathered}$

Hence, the number of detective items is 1.04.

7 0

1 year ago

Tryna figure this out

kaheart [24]

Answer:

9pi approximately 28

Step-by-step explanation:

we have the formula - pi r^2

which we know the diameter is 6 m and the surface is a semi circle

the radius is 3 so then we have pi 3^2

which becomes 9pi which is about 28.2

rounding to 28

hope this helps!!

7 0

3 years ago

At 7:30 A . M ., a bus left Town P for Town Q at a speed of 60 kilometers per hour. 15 minutes later, a car left Town Q and head

crimeas [40]

A.) distance from town p and town q is 270 km

B.) the speed of car is 85.17 km/h

4 0

3 years ago

How do I solve this problem?<br><br> 6x + 9 <7x

Makovka662 [10]

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .

-6x -6x <---- Subtract 6x from both sides.

9 < x <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

7 0

3 years ago