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1 year ago

What remains after 75000 is divided by 370?

Mathematics

2 answers:

Nuetrik [128]1 year ago

6 0

Answer:

18750 is the answer if u sum it up

nata0808 [166]1 year ago

4 0

Answer: 202.702703

Step-by-step explanation: Divide 75000 by 370, add decimal numbers as needed.

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The length of AB is 5 units.

finlep [7]

The length of the image after a dilation will be the original length times the scale factor.

The original length is 5 units.
The new length or the image is:
(5 units)(5/2)
= 25/2 units
= 12 1/2 units
= 12.5 units

5 0

4 years ago

The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking

valina [46]

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

8 0

4 years ago

Next four multiple of the fraction 3/5

OleMash [197]

6/10, 9/15, 12/20, 15/25

7 0

3 years ago

Read 2 more answers

A ship travels a distance of 200 nautical miles in 10 1/2 hours. how many knots did the ship average each hour? (One knot equals

exis [7]

Answer:

19.05 knots average per hour

Step-by-step explanation:

Distance traveled = 200 nautical miles

Time taken = $10\frac{1}{2}$ hours = $\frac{10\times2+1}2=\frac{21}{2}$ hours

To find:

How many knots did the ship average each hour ?

Solution:

Here, we are given the distance traveled and total time taken to travel the distance.

As per question statement, we have to find the average speed of the ship.

Formula for average speed is given as:

$\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}$

Putting the values in the formula:

$\Rightarrow \text{Average Speed = }\dfrac{200}{\frac{21}{2}}\\\Rightarrow \text{Average Speed = }\dfrac{200\times 2}{21}\\\Rightarrow \text{Average Speed = }\dfrac{400}{21}\\\Rightarrow \text{\bold{Average Speed = 19.05 nautical miles per hour}}$

It is also given that 1 nautical mile per hours is equal to one know.

Therefore, the average speed can be written as:

19.05 knots average per hour

3 0

3 years ago

There are 9 socks in a bag. 1 of those socks is blue.

inessss [21]

1/9 or 11/100

Hope that helps

4 0

3 years ago