What Is The Value Of X In The Equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 X)?3020 13 (2024)

Mathematics High School

What Is The Value Of X In The Equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 X)?3020 13 (1)

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.

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Related Questions

Which shows the difference (p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2) ?

Answers

Answer:

-9p²+6p+2/4p²

Step-by-step explanation:

Given the expression

(p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2)

Find the LCM

The LCM = 4p²

[p²+6p+2 - (10p²)]/4p²

Expand

p²-10p²+6p+2/4p²

-9p²+6p+2/4p²

hence the required expression is -9p²+6p+2/4p²

7. Calculate Rock A contains
10% quartz and 45% calcite.
The rest of the rock is mica.
What percentage of the rock
is mica?

Answers

Answer:

45% of the rock is mica

Step-by-step

10% + 45% = 55%. 100% - 55% = 45%

distributive property to find (7x-3)(4x+6)

Answers

Answer:

2

8

2

+

3

1

8

Step-by-step explanation:

i don't know why its upright

which of the following represents a function of protein within a organism ?

A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection​

Answers

Answer:

A

Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT

whats 5x=2x+9 i need this asap​

Answers

Answer:

How to solve your question

Subtract

22x2x

from both sides of the equation5=2+95−2=2+9−22

Simplify

Combine like terms

3=93

Divide both sides of the equation by the same term

3=933=934

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=3

Solution

=3

Answers

Answer:

I believe its C.

Step-by-step explanation:

Slope is always y over x. Since the numbers are positive, i believe its C

Find a ratio for the tangent of 32

Answers

Answer:tan c

Step-by-step explanation:

Can I have some please

Answers

Answer:

A:x=7.5 or 7 and 1/2

b:x=1

Step-by-step explanation:

The areas of the squares adjacent to two sides of a right triangle are shown below.
? units?
35 units
50 units
What is the area of the square adjacent to the third side of the triangle?

Answers

Answer:

85

Step-by-step explanation:

All you do is add 35 units and 50 units together.

Area of the square adjacent to the third side of the triangle is 85 units square

What is Pythagoras theorem?

Pythagoras theorem states that a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Given that areas of the squares adjacent to two sides of a right triangle are :

35 sq units

50 sq units

To determine the area of the square adjacent to the third side of the triangle

According to Pythagoras theorem,

Hypotenuse² = Base² + Perpendicular²

As figure is missing assuming given sides are perpendicular sides

Then Area of the square adjacent to the third side of the triangle = 35 + 50

= 85 units square

Now, assuming 50 sq unit is an area on hypotenuse

Then Area of the square adjacent to the third side of the triangle = 35 - 50

= 15 units square

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Understanding Transversals
Use the diagram to complete the statements
Angles 1 and 5 are supplementary because they
are
angles
3
2
Angles 4 and 6 are
are
because they
4
S
angles
7
6
8

Answers

Answer:

8

Step-by-step explanation:

7 and 8 are the angles so we need to find the decimal in the problem

Tory read her book and rate of 4/5 of a chapter her 2/3 of an hour. How many chapters can she read in one hour

Answers

Answer: She can read 1.2 chapters of her book in one hour.

Step-by-step explanation:

When we have a relation of: "doing something" in a given "amount of time"

The rate at which you can do that activity per unit of time is:

R = (how much you did)/(time it took)

In this case, we know that

"Tory reads 4/5 of a chapter in 2/3 of an hour"

Then the rate, in this case, could be calculated as:

R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.

This means she can read 1.2 chapters of her book in one hour.

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

14 + 18 ÷ 2 x 18 – 7

15 x 10 + 12 ÷ 3 + 9

8 x 4 + 9 – 9 + 18

2 - 1 + 5 x 4 x 11

60 – 9 x 8 ÷ 8 x 6

(10 ÷ 5)3 + 100 – 9 x 11

3 x 8 x 2 – 42 + 5

14 ÷ 2 -1 + 3

Answers

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours,to the nearest whole number?

Answers

Answer:

12,720

Step-by-step explanation:

5300 times 2.4 = 12,720

Find the solution to the system by graphing

Answers

After graphing the lines, you can see that the solution is (4, -1)

HELP PLS PLS PLS PLS

Answers

Answer:

7x - x

Step-by-step explanation:

i think so oof oof oof oof oof

The answer is 7+x*x

Gl

7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.​

Answers

Answer:

181cm²

Step-by-step explanation:

Given

Radius of a circle = 7.6cm

Area of the circle = \pi r²

Substitute

Area of the circle = 3.14(7.6)²

Area of the circle = 3.14(57.76)

Area of the circle = 181.3664cm²

Area of the circle to 3sf is 181cm²

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

A chef uses 1/2 cup of tomatoes for every 1/8 cup of onions to make salsa. How many cups of onions will the chef need for 1 cup of tomatoes? Enter the answer as a decimal.

Answers

Answer:

0.25cups

Step-by-step explanation:

if it is 1 cup then we are doubling the amount of onions so

1/8 x 2= 1/4= 0.25cups

PLZ HELP!!!! WILL GIVE BRAINLIEST IF CORRECT! The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:

All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey? (5 points)

Question 1 options:

1)

All teachers in the school

2)

All boys in each grade

3)

All students in each grade

4)

All students in the social studies club

Answers

3 is the answer

you're welcome

Step-by-step explanation:

4 is the answer since the question asks if the student would prefer so to get a better opinion you'd have to ask ever student in all grade

Use the triangle to find the missing angle. Round to the tenths if necessary.

Answers

Answer:

Step-by-step explanation:

69

Can someone please helpppppppp

Answers

Answer:

first one

Step-by-step explanation:

hhhhjnbbbnhhh


Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school
lunches. At this rate, how much did Dante spend on school lunches after 5 days?

Answers

Answer:

12.5

Step-by-step explanation:

37.50÷15=2.5

2.5×5=12.5

Answer: $12.50

Step-by-step explanation:

You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2

Answers

Answer:

㏒(2x²) = ㏒(2) + 2㏒(x)

Step-by-step explanation:

As given, ㏒(2x²)

As we know that ㏒(MN) = ㏒(M) + ㏒(N)

⇒㏒(2x²) = ㏒(2) + ㏒(x²)

As we know that ㏒(xⁿ) = n㏒(x)

⇒㏒(2x²) = ㏒(2) + 2㏒(x)

∴ we get

㏒(2x²) = ㏒(2) + 2㏒(x)

Please someone help me

Answers

Answer: C
Explanation:

0.15-> 15%
0.25-> 25%

15%+25%=40%

Solve each equation.
1) -20 = -4x - 6x

Answers

Answer:

X= 2

Why

-20=-4x-6x

-20=-10x

-20/x=-10x/x

2=x

Answer:

i love algebra anyways

The ans is in the picture and the stops how i got it

(hope that helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

In the following figure, the value of x is...

Answers

Answer:

8.3

Step-by-step explanation:

AA'B'C' is a reflection of AABC. Which best describes the reflection?

Answers

Answer:

A reflection over the line y = 3.

Step-by-step explanation:

You will draw a straight vertical line on 3 and then count the spaces. If you have equal space on both sides then your answer is right.

HELLLLLPPPPPPPPPPPPPPPp ASPAPppp plzzz

Answers

Step-by-step explanation:

2+b《3b.

hope u got it....

Answer:

2+b<3b

Step-by-step explanation:

sum means addition. so the sum of b and 2 would mean 2+b. triple the number b literally means b times 3. so, that is the answer.

What is the answer to this question it is urgent

Answers

the answer is D scnagntwhwth

A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the

Answers

Answer:

Line A is the: ✔ y-axis

Region B is: ✔ a quadrant

Point C is the: ✔origin

Line D is the: ✔ x-axis

Step-by-step explanation:

Did it on Edgen

For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

What is a coordinate plane?

A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.

The intersection of these lines is known as the origin.

The diagram of the coordinate plane can be analysed as,

(a) Line A is the vertical perpendicular line.

It can be called as y-axis.

(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.

It is known as the first quadrant.

(c) Point C lies at the intersection of two lines perpendicular to each other.

It can be said the origin.

(d) Line D is the horizontal line.

It can be called as x-axis.

Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

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The missing diagram is attached here.

What Is The Value Of X In The Equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 X)?3020 13 (2024)

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