What is the volume of a rectangular prism if the area is 30 square inches and the height is 3 inches?

A club is making posters to raise money. The printer charges a base fee of $270 and $2 per poster for supplies. A person sells e

sesenic [268]

Answer:

He must sell 190 posters make a profit of $300.

Explanation:

Given:

Base fee= $270

Fee for supplies= $2

Cost of poster=$5

To find:

The number of posters to be sold to get a profit of $300=?

Solution:

Let the number of posters sold be n.

Now, we know that,

profit = selling price – cost price

$ 300 = $ 5 for each poster – ( $ 270 base fee + $ 2 for each poster)

300 = 5 x n – (270 + 2 x n)

300 = 5n – 270 – 2n

5n – 2n = 300 + 270

3n = 570

$n=\frac{570}{3}$

n = 190

6 0

2 years ago

Simplify to an expression of the form (a sin(θ)). 2sin(/8)2cos(/8)

rjkz [21]

Answer:

Your expression equals $2 \sin(\frac{\pi}{4})$ assuming the problem was to simplify $2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$ to the form $a\sin(\theta)$ .

Step-by-step explanation:

$2\sin(\frac{\pi}{8}) 2\cos(\frac{\pi}{8})$

$2(2)\sin(\frac{\pi}{8})\cos(\frac{\pi}{8})$

Let's use the following identity: $2\sin(A)\cos(A)=\sin(2A)$

$2\sin(2 \cdot \frac{\pi}{8})$

$2 \sin(\frac{\pi}{4})$ which is comparable to the form $a\sin(\theta)$ .

$a=2$

$\theta=\frac{\pi}{4}$

5 0

2 years ago

The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown bel

nexus9112 [7]

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

$M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)$

Putting the values

$M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)$

The 10th value in dataset is 26 and 11th is also 26 so

$M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26$

Hence,

The correct answer is: Option D: 26 vehicles

7 0

2 years ago

Lucas is making accessories for the soccer team. He uses 587.19 inches of fabric on headbands for 35 players and 2 coaches. He a

Morgarella [4.7K]

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

5 0

3 years ago

Identify all sets to which the number 3.1214122144 . . . belongs. Choose from irrational,rational,whole,and integer

CaHeK987 [17]

It is an irrational number. That is because rational numbers can be put into fractions. But because this decimal goes on forever, you can't put it into a fraction. This is also not a whole number or an integer. Whole numbers and integers do not have any decimals or fractions in them, but this number is a decimal. Therefore, this number is irrational.
hope this helps:)
please mark thanks and brainleist:)

3 0

3 years ago

What is the volume of a rectangular prism if the area is 30 square inches and the height is 3 inches?​

What is the volume of a rectangular prism if the area is 30 square inches and the height is 3 inches?