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jeyben [28]
3 years ago
7

What is the integers between of [21

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0
All numbers? There are a countably infinite number of rational numbers and an uncountably infinite number of real numbers between 21 and 28; their sum goes to infinity.

If you’re talking about integers between 21 and 28 (not including the endpoints), there are six of them (22, 23, 24, 25, 26 and 27). Their sum is 147.
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A company is selling toothpicks. It costs $0.01 to produce each toothpick and a fixed cost of $60 a month for the company. If th
Lapatulllka [165]

Answer:

6,000 toothpicks

Step-by-step explanation:

In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.

What we do is this!

Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.

First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x

Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.

Now revenue from sales for x toothpicks at $0.02 each is $0.02x

Since we are looking to Breakeven, we equate the costs to the revenue.

0.01x + 60 = 0.02x

0.02x-0.01x = 60

0.01x = 60

x = 60/0.01 = 6,000 toothpicks

6 0
4 years ago
PLEASE HELP WITH THIS MATH QUESTION
Vanyuwa [196]
Table C is a function because there is one x-value for every y-value.
6 0
3 years ago
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t
Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

... 7 cm = 3x -5 cm

... 12 cm = 3x

... 4 cm = x . . . . the length of "another" side

... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"

The two different side lengths are 4 cm and 3 cm.

7 0
3 years ago
A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h throughout, find the speed of
Elza [17]

Answer:

14.3 km/h   to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v  be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 /  t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:-   (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

12(1 .75 - t1) - 12t1 = -6t1(1.75 -  t1)

21 - 12t1 - 12t1 = -10.5t1 + 6t^2

6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

Therefore the speed in still water (v)  = 12/1.058 + 3 = 14.3 to 3 sig figs

3 0
4 years ago
Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10
posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3

Hence the volume of cement is 3240 in^3

8 0
3 years ago
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