Please solve the equations below:
1. (2x - 6) 3/2 = 21 - 4x

Answers

Answer 1

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]


Related Questions

Please Help!!! Solve for xxx in the diagram below.

Answers

Answer:

40 is your answer

Step-by-step explanation:

3x= 120 ( vertically opposite angles)

x=120/3

x=40

solve for n if nC2=nC4

Answers

Answer:

Ans is 8

Hope it is helpfully.Have a nice day.

Lizzie came up with a divisibility test for a certain number $m \neq 1$:

Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit chunks 64, 47, 35.
Find the alternating sum of these two-digit numbers, by adding the first number, subtracting the second, adding the third, and so on. (In our example, this alternating sum would be 64-47+35=52.


Sorry for the big problem but I really need help with this :grimacing:

Answers

Answer:

101

Step-by-step explanation:

Side XY is of length 11b .
Side XZ is of length 2a+3b.
Side YZ is of length a The triangle is isosceles, with XY=XZ
The perimeter of the triangle is 91. Use algebra to find the values of a and b.

Answers

Answer:

a = 14, b = 3.5

Step-by-step explanation:

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

35
10
10
15
10
30
15
10
60
Explain why the student's statement about the area is incorrect.

Answers

Answer:

Statement is?

Step-by-step explanation:

As soon as you finish the question!

If n( μ ) = 100, n(A) = 50, n(B) = 20 and n( ) A B ∩ =10, then ( ) c nAB ⎡ ⎤​

Answers

Step-by-step explanation:

Correct option is

A

50

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50

When the length of a side of a square is increased by 5, the perimeter of the new square is 60. What equation can be used to find the length of the side of the original square?

Answers

Answer:

The answer will be 4(x+5)=60

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?

Answers

Answer:

The second number line would be represented by the equation

Which of the two numbers -0.514 and -0.5148 is larger?
The larger number is

Answers

-0.514 is larder cuz of the negative sign

Answer:

larger number is -0.514

Step-by-step explanation:

-0.514 is greater than -0.5148 by 0.0008

What's (6+5i)(6-5i) using the foil method

Answers

Answer:

Step-by-step explanation:

[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]

Write 27 as a power and as repeated multiplication

Answers

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

Answer:

3^3

3 • 3 • 3

Step-by-step explanation:

27 = 9 • 3

27 = 3 • 3 • 3

27 = 3^3

The sum of the present ages of a son and his father is 60 years. Six years ago, father's

age was five times the age of the son. After 6 years, what will be son's age?​

Answers

Answer:

15 years old

Step-by-step explanation:

The equation for their present ages is s+f=60. Six years ago would make it 54 and since the father's age six years ago was 5 times his son's the equation would be s+5s=54 (add the common terms) 6s=54. 54/6 is 9. So the son's age is 9, currently. In six years, the kid will be 15.

Find the y-intercept and x-intercept of the line. 5x-8y=14

Answers

Answer:

x-intercept = 14/5

y-intercept = 7/4

Step-by-step explanation:

To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.

When x=0
5(0)-8y=14
-8y=14
Y=-2
So y intercept= -2

When y=0
5x-8(0)=14
5x=14
X=5/14 or 0.36
So x-intercept = 5/14

HELP PLZZZZZZZZZZZZZZ

Answers

Answer:

True

Step-by-step explanation:

They are parallel because they will never intersect.

Hope this helps!

•••••••••••••••••••••••••••••••
Correct me if my answer
is incorrect, thank you!

is 41 x 10 to the power of 6 = 41,000,000

Answers

Answer: yes 41 x 10 to the power of 6 is 41000000

your correct.

Step-by-step explanation: Mark me brainliest plz

Yes correct 41000000

A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)

Answers

The formula for the volume of a cube is V = a^3.

We know the volume is 125 cubic inches.

125 = a^3

Take the third square root

5 = a

The length of each edge is 5 inches

Answer:

So the length of the edge of a cube with a volume of 125 is 5 inches

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.

So if we take the edge of the cube to be of length x, then:

Volume=x3

125=x3

5=x

what is the equation of a line parallel to y = -1/2x + 6 that passes through (-4, 1)​

Answers

Answer:

y = -1/2x - 1

Step-by-step explanation:

A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].

1 = -1/2(-4) + b

1 = 2 + b

-1 = b

Now we can input the information we know and solved for back into the formula.

y = -1/2x - 1

Best of Luck!

From the equation, find the axis of symmetry of the parabola.
y = negative 4 x squared + 24 x minus 35

Answers

The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

Given the equation:

y = -4x² + 24x - 35

From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Use the number line below to find the midpoint of segment AB

midpoint of segment AB

Answers

Answer:

-4 is the mid point

Step-by-step explanation:

-4 is in the middle of A and B

solve this equation 2(y + 2) = 3(y - 7)

Answers

Answer:

[tex]2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25[/tex]

[tex]thank \: you[/tex]

What is the value of x?

Answers

-First you have to know that line KL is a line that is 180 degrees.
-Next you have to add the 90 degrees and 15 degrees to get a total of 105 degrees.
-Divide 75 by 5 and you get…
- x=15

Select the best answer for the question.
17. What is the sum of 1/9, 2/3, and 5/18?
O A. 4/15
O B. 12/g
O C. 8/30
O D.
19/18
MA .
Lovi
AL HADIR

Answers

Answer: D 19/18

Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.

The following is the correct way to show the product for 0.386 × 6.1:

Multiplication standard algorithm of 0.386 times 6.1. There is a solid line underneath the 6.1 that yields 386. Underneath the 386 there is a plus 23160. There is a line underneath the 23160 with 2.3546 underneath it.
is it
True
False

Answers

Answer:

In my point of view It's true

Answer:Ture

Step-by-step explanation: dont have one jsut makes the most sense im a very smart 14 y/o

The value of 2^3 + 3^3 = ___.​

Answers

35 is the answer to 2^3 + 3^3

Answer:

35

Step-by-step explanation:

2^3+3^3

8+27

35

Three friends all live on the same street that runs west to east. Ben lives 7 blocks from Al. Carl lives 4 blocks from Ben. If the street is represented by a number line and Al's house is located at 0, what are the possible locations for Carl's house?

Answers

Answer:

Carl is located in 11

Step-by-step explanation:

I. If the street runs west to east

AI is 0

Ben is -7

Carl is -11

But there's no negative in address in the real world

so Cars is located in 11

For discuss, leave comment below.

solve for x, need help!

Answers

Answer:

Cosθ =Adjacent / hypotenuse

[tex] \cos(45) = \frac{6}{x} \\ \frac{1}{ \sqrt{2} } = \frac{6}{x} \\ x = 6 \sqrt{2} [/tex]

Oliver bought 8 bags of marbles.There we're 7 green and 7 blue in each bag.How many marbles did he buy in total? use the doubles strategy to show your work.

Answers

Answer:

112

Step-by-step explanation:

1 bag- Has 14 marbles in all

So if you multiply 14 times 8 total bags you get 112.

Solve the equation. Check your solution.

Answers

Answer:

x = 5

Step-by-step explanation:

x^2/(x + 5) = 25/(x+5)      Subtract the right side from both sides.

x^2/(x + 5) - 25/(x + 5) = 0

x^2 - 25

=======   = 0

x + 5

(x + 5)(x - 5)

============= = 0

(x + 5)

Cancel x + 5 in the numerator and denominator.

x - 5 = 0

x = + 5

Does it check?

x^2/(x + 5) = 25/(x + 5)

x = 5

5^2/(10) = 25/10

25/10 = 25/10 Yes it checks.

What is the volume of this cylinder shown below?

Answers

Answer:  138.16 cubic feet (choice H)

This volume is approximate and occurs when you use pi = 3.14

==========================================================

Work Shown:

r = 2 ft = radius

h = 11 ft = height

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*11

V = pi*4*11

V = pi*44

V = 44pi .... exact volume in terms of pi

V = 44*3.14

V = 138.16 .... approximate volume and the final answer

Answer:”H”

Step-by-step explanation: just trust the process

5,878+596 plz help me

Answers

6,474

.........................

Answer:

The answer is 6,474

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