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icang [17]
2 years ago
10

Approximate which two integers does the root of 30 is between

Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer:

It lies between 5 and 6

Step-by-step explanation:

{ \tt{ \sqrt{30}  =  \sqrt{5 \times 3 \times 2} }} \\   \\ x={ \tt{ \sqrt{5}   \times  \sqrt{3} \times  \sqrt{2}  }} \\  \\  { \boxed{ \tt{= 5 < x < 6}}}

x is the root of 30

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A bicycle store costs ​$3500 per month to operate. The store pays an average of ​$75 per bike. The average selling price of each
vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is ​$145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= ​$3500 per month

The store pays an average of ​$75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is ​$145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0
3 years ago
Nan’s art sculpture is a pyramid. She will cover all the faces with gems, except the base of the pyramid.
marysya [2.9K]

Answer:

it is 54

Step-by-step explanation:

i took the test and checked the answer

6 0
3 years ago
Read 2 more answers
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim
Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or 4\ \text{inch}^3.

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or \text{cm}^3.

4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3

So, the volume of the ball is 65.548 cm³.

7 0
3 years ago
Help Please!! I am not sure what to do?
Iteru [2.4K]

Answer:

10 < \sqrt{111} < 11

Step-by-step explanation:

The square root of 111 is approximately 10.536.

A number smaller than this is 10.

A number larger than this is 11.

5 0
3 years ago
Please help if u can
wolverine [178]

Answer:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

Step-by-step explanation:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

*this is because the graph shows that the y value cannot pass by 2 as the x value constantly decreases and as x is increasing, there is just an arrow showing that the graph is constantly going up and therefore going to ∞

6 0
3 years ago
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