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andrezito [222]
3 years ago
11

Bob wants to cover the floor of a room 300 cm wide and 400 cm long by squared tiles. If each square tile is of side 50 c m, then

find the number of tiles required to cover the floor of the room.​
Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

48 tiles are required to cover the floor

Step-by-step explanation:

the area of the room is :-

=》300 × 400

=》120000 sq.cm

area of each tile is :-

=》50 × 50

=》2500 sq.cm

total number of tiles required =

=》area of room ÷ area of each tile

=》120000 ÷ 2500

=》48 tiles

Korolek [52]3 years ago
3 0

Answer:

you need 2,400 tiles

Step-by-step explanation:

400x300=120,000 thats how big the area of the room will be.

120,000÷50=2400

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suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to mode
zubka84 [21]

Answer:

The exponential function is A(t) = 1000(1.004)^{12t}.

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that P = 1000, r = 0.048, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 1000(1 + \frac{0.048}{12})^{12t}

A(t) = 1000(1 + 0.004)^{12t}

A(t) = 1000(1.004)^{12t}

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

A(2) = 1000(1.004)^{24} = 1100.55

You will have $1,100.55 in the account after 2 years.

5 0
3 years ago
How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI
VladimirAG [237]

Answer:

  • 33 1/3 liters of 30%
  • 16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

  0.45x +0.30(50 -x) = 0.35(50)

  0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

  x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33  1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

<em>Comment on the solution</em>

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

  (mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

5 0
3 years ago
What value of x is in the solution set of 3(x-4)≥6x+2​
Sophie [7]

Answer:

 x <= - 4 2/3

Step-by-step explanation:

3(x-4) ≥ 6x+2​

Distributive property

3x - 12 ≥ 6x+2​

-12 ≥ 3x + 2

re-write

3x + 2 <= -12

3x <= -14

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5 0
3 years ago
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balandron [24]

Answer:

the first one

Step-by-step explanation:

8 0
3 years ago
Solve for x and why please using these!!!
krok68 [10]

Answer:

x = 40

y = 5

Step-by-step explanation:

4x = 2x+80\\2x = 80\\x = 40

Edit: Solve for Y

A straight line is 180 degrees so one side (the x side) is 160°, The Y side is 20, and  you can work backwards by -

8y - 20 = 20\\8y = 40\\y = 5

4 0
3 years ago
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