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Orlov [11]
2 years ago
9

What is the value of x in the equation 2.5(6x-4) = 10+4(1.5+0.5x)?

Mathematics
1 answer:
Phoenix [80]2 years ago
6 0

Answer:

Step-by-step explanation:

As the equation is given in the question as follows.

2.5(6x-4)=10+4(1.5+0.5x)

open the bracket

2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x

15x - 10 = 10 + 6 + 2x

15x - 2x = 16 + 10

13x = 26

x = 2

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a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb
bogdanovich [222]
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
5 0
3 years ago
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
MrRa [10]

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

<em>24/16 = 1.5</em>

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

<h2>I hope that helps! </h2><h3>Have a wonderful day! </h3>
8 0
3 years ago
Here is the histogram of a data distribution. What is the shape of this distribution.
tankabanditka [31]

Answer:

Hey there!

I think your answer would be unimodal skewed. This graph only has one maxima, thus it can't be bimodal. However, it's not symmetric, meaning that it is skewed.

Hope this helps :)

6 0
3 years ago
Variation equation and determine the quantity indicated.
mr_godi [17]

Answer:

Step-by-step explanation:

Direct variation has the form y=kx, given k=7 and x=20

y=7(20)=140

8 0
3 years ago
What's one tenth of 300
brilliants [131]
30 is your mystery answer :)
7 0
3 years ago
Read 2 more answers
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