What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 x)?
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What Is The Value Of X In The Equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 X)?3020 13

Answers

Answer 1

Answer:

Step-by-step explanation:

15x - 10 = 10 + 6 + 2x

15x - 10 = 16 + 2x

Bringing like terms on one side

15x - 2x = 16 + 10

13x = 26

x = 26/13

x = 2

Answer 2

The value of x in the equation is 2.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that shows that two expressions are equal.

It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Equations are used to solve problems and find unknown values.

We have,

We are given the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x) and we need to find the value of x that satisfies this equation.

First, we can simplify both sides of the equation by using the distributive property of multiplication.

This gives us:

15x - 10 = 10 + 6 + 2x

Next, we can combine like terms on both sides of the equation. Specifically, we can combine the constants on the right-hand side:

15x - 10 = 16 + 2x

Now, we want to isolate the term with x on one side of the equation.

We can do this by subtracting 2x from both sides of the equation:

13x - 10 = 16

Finally, we can solve for x by adding 10 to both sides of the equation and then dividing both sides by 13:

13x = 26

x = 2

Therefore,

The value of x in the equation is 2.

Learn more about equations here:

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Related Questions

Peter goes for a walk.
He walks 15 miles in 6 hours.
Workout Peter's average speed.
Give your answer in miles per hour.

Answers

Answer:

2.5 miles per hour

Step-by-step explanation:

Just take 15 decide by 6 if I am not wrong

Answer:

2.5 miles per hour

Step-by-step explanation:

6 divided by 6=1 hour.

15 divided by 6= 2.5

Solve. Express your answer as a simplified mixed number

5/6 divided by 3/10

Please help:)

Answers

stick change flip
5/6 x 10/3 = 50/18 2 14/18 simplify 2 7/9
2.7777 awnser pls mark brainliest

plz answer all of them

Answers

Answer:

ace

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution in the picture

Cada bolsa de canicas que vende la Compañía de Canicas Paola contiene 2 canicas azules por cada 3 canicas verdes. Si una bolsa contiene 12 canicas azules, ¿cuántas canicas verdes contiene?
me ayudan por favor

Answers

Answer:

a tube contains 3 tennis balls how many tennis balls are there in 32 tubes

Please help will give Brain!!

Answers

Answer:

its 35

Step-by-step explanation:

look at the triangles see how the lines are the same amount? its dilation meaning it is still 35 but a smaller triangle at the process.

37.29 for 2 pairs of jeans. How much for each pair.

Answers

Answer:

About $18.65 each

Step-by-step explanation:

Brainliest?!?!?!?

Answer:

$18.645

Step-by-step explanation:

 18.645

2|37 .29

   2    

----------

    17.  

    16.  

----------  

      1.2  

      1.2

      ---

       9

       8

       --

       10

       10

Therefore, 37.29 divided by 2=18.645

Which of the following situations are equal to 90%? Select all that apply. A) 18 out of 24 B) 18 out of 20 C) 36 out of 40 D) 54 out of 60 E) 81 out of 90​

Answers

C)36 out of 40

Bob. nmmnkgfdt

Answer:

Option b,c,d and e are right

Step-by-step explanation:

a ) 18 / 24 x 100 = 75 %

b) 18/ 20 x 100 = 90%

c) 36/ 40 x 100= 90%

d) 54/ 60 x 100 = 90%

e) 81/90 x 100 = 90%

I hope im right!!! ;)

In this 45-45-90 triangle, I have been given a leg, so
to find the other leg I...

Answers

Number one the blue one

Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert?

Answers

Answer:

105

Step-by-step explanation:

 

Answer:

$105 for each member per concert

Step-by-step explanation:

700 - 175 = 525

525 divided by 5 = 105


Solve the following inequality for the variable, x

Answers

Answer:

x>12

Step-by-step explanation:

x+3>15

subtract 3 from both sides

x+3-3>15-3

simplify

x>12

hope this helps :) have a nice day !!

Gabriela was solving an equation, but when she checked her answer, she saw solution was incorrect . She knows she made a mistake, but she can’t find it.

Answers

Answer:

The distribution at the 2nd line

Step-by-step explanation:

I believe where Gabby went wrong was in her multiplication distribution

12*5=60 not 72

hope this helps!!

The value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

The given equation is 12(5+2y)=4y-(5-9y).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

12(5+2y)=4y-(5-9y)

⇒ 60+24y=4y-5+9y

⇒ 60+24y=13y-5

⇒ 24y-13y=-5-60

⇒ 11y=-65

⇒ y=-65/11

Therefore, the value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

To learn more about an equation visit:

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how many solutions does 5x+1=5x-2 have
one solution
no solution
many solutions ​

Answers

Answer:

no solution

Step-by-step explanation:

plz mark brainliest! :)

find the surface area

Answers

Answer:

the answer to your question is 7.5

- 5x + 9y = - 32
-5x - 3y = 4

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :)

A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.

Answers

Answer:

15

Step-by-step explanation:

P=I/RT = 900/15×4 =900/60 = 15

Find the final balance on $130 invested at an annual rate of 9.4% compounded
quarterly for 2 years.

A. $158.44
B. $156.55
C. $154.44
D. $152.22

please hurry it’s for a test:))

Answers

Answer:

i remember this hope this helps you ok

I think the answer is “C”

3+2=___

4+2=___

8-8=___

Answers

Answer:

1)5

2)6

3)0

Step-by-step explanation:i subtracted

3+2= 5
4+2=6
8-8=0
if u put up 3 fingers then put 2 more up you get 5
if u put up 4 fingers then put up 2 more u get 6
if u put up 8 fingers and take 8 away u have 0 fingers left

Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?

Answers

Answer:

$26.25

Step-by-step explanation:

35(1-0.25)

= 35(0.75)

= 26.25

Lets get 5% by dividing 35 by 20
Each 5% is 1.75
Need 5 of these so 8.75
Because it is a discount 35-8.75=$26.25

simplify the following 7+(_10)​

Answers

Answer:

7 or -3

Step-by-step explanation:

its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.

steps for 7 :

7 + (10)

7 + 1 ‧ 0

7 + 0

7

steps for -3 :

7 + ( -10 )

7 - 10

-3

Michelle says that the solution to the inequality 2(4y-3) > -22 is y > -3.5.

what was her mistake. What is the solution to the inequality.

Answers

Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

find the length of IR using the special right triangles

Answers

Answer:

7

Step-by-step explanation:

This is a 30-60-90 triangle. The side that include the 60 degree angle and the 90 degree symbol side length is half of the hypotenuse. The hypotenuse is 14 so IR is 7.

The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96

Answers

Answer:

4.5is answer

Step-by-step explanation:

perimeter of ABC = 96

4x + 1 2x 3x + 2=96

21x=96

x=96/21=4.5

A shop advertises 15% off it's prices in the sale.
A purse is £4.42 in the sale.
What was the original price?

Answers

Answer:

5.20

Step-by-step explanation:

100%-15%=85%

85%->4.42

100%->4.2÷85×100=5.20

s is inversely proportional to t
When s = 0.5, t = 7
Work out s when t = 0.8

Answers

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

[tex]s\propto \dfrac{1}{t}[/tex]

[tex]s=\dfrac{k}{t}[/tex]       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

[tex]0.5=\dfrac{k}{7}[/tex]

[tex]0.5\times 7=k[/tex]

[tex]3.5=k[/tex]

Putting k=3.5 in (i), we get

[tex]s=\dfrac{3.5}{t}[/tex]

This is the equation of proportionality.

Putting t=0.8, we get

[tex]s=\dfrac{3.5}{0.8}[/tex]

[tex]s=4.375 [/tex]

Therefore, the value of s is 4.375 when t=0.8.

Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier

Answers

Answer:

it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff

. What is the value of x
please help

Answers

Answer:

9

Step-by-step explanation:

12x + 17x - 14 + 90 + 2x + 5 = 360

31x + 81 = 360

31x = 279

x = 9

HELP PLS IM not smart it’s due tonight ‍♀️

Answers

Answer:

Option 3

Step-by-step explanation:

SAS Triangle Congruence Theorem

Answer:

option- 3 which is sas theorum

Determine if the graph is a function then state the domain and range.

Answers

Explanation

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

Answer

[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]

Domain is set of all real numbers.

Range is greater or equal to 0.

Plz help me I’m begging you I will give brainliest

Answers

Answer:

80 Cubic Units

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

Hope it helps :)

80 unites because 5 x 4 = 20 and 20 x 4 = 80

Write a reclusive rule for the sequence, then give the next two numbers in the sequence 6,1,7,8,15,23

Answers

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

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