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sergiy2304 [10]
3 years ago
15

Two numbers are in the ratio of 10:6 if they differ by 36 what are the numbers​

Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

51.4 and 15.42

Step-by-step explanation:

let 1st No=10x

2nd No=3x

10x-3x=36

7x=36

x=36/7=5.14

1st No=10x

=10×5.14

=51.4

2nd No=3x

=3×5.14

=15.42

Therefore the numbers are 51.4 and 15.42

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1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc
valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

5 0
3 years ago
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 mete
PtichkaEL [24]

Answer:

1 : 3000

Step-by-step explanation:

Given that:

Scale measurement as following:

4 centimeters are equal to 120 meters.

To find:

The scale factor = ?

Solution:

First of all, let us learn about the definition of scale factor.

Scale factor means 1 unit on scale is equal to what length of actual measurement.

We are given that 4 cm on scale is equal to 120 meters of actual length.

We need to find nothing but how much 1 cm of scale is equal to actual length.

4 cm of scale = 120 meters or 12000 cm of actual length

Dividing by 4 on both sides, we get:

\frac{4}{4} = 1 cm of scale = \frac{12000}{4} = 3000 cm of actual length

Therefore, the scale factor is <em>1 : 3000</em>

5 0
2 years ago
Here are the first four terms of an arithmetic sequence. 3 10 17 24 Find, in terms of n, an expression for the nth term of this
ollegr [7]

Answer:

a_{n} = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

a_{n} = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

8 0
3 years ago
Pls help ill give brainliest
ki77a [65]
The answer would be:

3q x (2q + 1) x (q^2 - 4)

Hope this helped :)
7 0
3 years ago
A local charity held a crafts fair selling
True [87]

Answer:

34 sold for $20

55 sold for $35

Step-by-step explanation:

20x+35y=2605

y=(98-x)

20x+35(89-x)=2605

Solve for x

20x+3115-35x=2605

20x-35x=2605-3115

-15x=-510

x=34

8 0
3 years ago
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