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11Alexandr11 [23.1K]
3 years ago
7

What is the value of (5.3x10^4)(4.2x10^3)l

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

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A bottle contains 255 coins. 1/3 of the coins are ?1.00. 110 of the coins are 50p coins. the rest are 20p coins. work out the to
aliina [53]

Answer:

£152.

Step-by-step explanation:

We have been given that a bottle contains 255 coins. 1/3 of the coins are  £1.00.

Let us find 1/3 of 255 to find the number of £1 coins.

\£1\text{ coins}=\frac{1}{3}\times 255

\£1\text{ coins}=85

This means we have £85.

We are also told that 110 of the coins are 50 p coins.

\text{Value of 50 p coins}=\£0.50\times 110

\text{Value of 50 p coins}=\£55

Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.

\text{Number of 20 p coins}=255-(85+110)

\text{Number of 20 p coins}=255-(195)

\text{Number of 20 p coins}=60

\text{Value of 20 p coins}=\£0.20\times 60

\text{Value of 20 p coins}=\£12

Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.

\text{The total value of the coins}=\£85+\£55+\£12

\text{The total value of the coins}=\£152

Therefore, the total value of the coins contained in the bottle is £152.

4 0
3 years ago
Read 2 more answers
Jessica fills a cube shaped tank that has an edge of 70 cm with water from a tap. Water flows into the tank at a rate of 7L per
daser333 [38]

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}

Then the time it will take to fill up the tank is

343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}

6 0
1 year ago
Find the value of x. Round to the nearest tenth. Help please!!!
jasenka [17]

Answer:

x=3

Step-by-step explanation:

Right triangle so you can use pythagorean theorem

a squared + b squared = c squared

b=x

14^2 + b^2= 17^2

14+b=17

b=3

8 0
2 years ago
Read 2 more answers
An equivalent expression to a2/3
scoundrel [369]

Answer:

4/6  6/9  8/12  10/15 and so on, just multiply both the numerator and denominator by the same number and get your answer.

Step-by-step explanation:

6 0
3 years ago
If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to reach a window 12 feet up?
Kruka [31]

Answer:

9.000000001

Step-by-step explanation:

If the hypotenuse is  15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.

sin of angle is opposite / hypotenuse

sin of angle is 12 / 15

12/15 = 0.8

sin^-1 of 0.8 = 53.13010235

Angle is that

Then we do this again but a different equation

cos of angle is adjacent (x which we are looking for) / hypotenuse

cos of 53.13... is x / 15

(15 x cos of 53.13... )is x

So 15 x cos of 53.13... is 9.000000001 feet away.

5 0
3 years ago
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