A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of X?

Answers

Answer 1

Answer:

x = 5 units

Step-by-step explanation:

Hello!

We know that the area of a rectangle is the length multiplied by the width.

The length is given as 6The width is given as 2x + 8The area is given as 108

We can simply create an expression to solve for x.

Solve:

Area = length x width108 = 6(2x + 8)108 = 12x + 4860 = 12xx = 5

The value of x is 5 units.


Related Questions

What is the range of y = –3sin(x) – 4? all real numbers Negative 7 less-than-or-equal-to y less-than-or-equal-to 7 all real numbers Negative 7 less-than-or-equal-to y less-than-or-equal-to negative 1 all real numbers Negative 5 less-than-or-equal-to y less-than-or-equal-to 3 all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1.

Answers

Range of a function is the extent to which any function may be varied. The range of the given function y= -3sin(x)-4 is [-7,-1].

What is a Range?

The range of a function is the extent to which any function may be varied.

We know that the general range of the function of sin(x) is between [-1,1].

-1 ≤ sin(x) ≤ 1. . . . . . . . . .(A)

As our required function is y = -3sin(x) - 4

Now, in order to get this function, we will multiply each side in Equation (A) by -3, therefore,

-3 ≤ -3 sin(x) ≤ 3

Further, subtract from 4 from each side of the equation.

-7 ≥ -3sin(x)-4 ≥ -1

Hence, the range of the given function y= -3sin(x)-4 is [-7,-1].

Learn more about Range:

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Answer: b

Step-by-step explanation:all real numbers (b)

What is the slope of the line represented by the points in the table?

Answers

Answer:

I think the answer is -0.05

Step-by-step explanation:

What is the area of the triangle abc?

Answers

Answer:

Your answer is 35!

Step-by-step explanation:

I'm sure of it!

The first terms of a geometric sequence are as follows.
-810,-270,-90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

Answers

The fourth and fifth term of this sequence is -30 and -10 respectively.

Data;

first term (a) = -810common difference (r) = ?

Common Difference

The common difference in a geometric progression is the ratio between two successive terms.

Let's find the common difference in this sequence

[tex]r = \frac{-270}{-810} \\r = \frac{1}{3}[/tex]

The nth term of a geometric sequence is given as

[tex]T_n = ar^n^-^1\\[/tex]

The next two terms of this sequence will be 4th and 5th term.

The fourth term of this sequence is

[tex]T_4 = ar^4^-^1\\T_4 = -810 * (\frac{1}{3})^3\\ T_4 = -810 * \frac{1}{27}\\ T_4 = -30[/tex]

The fifth term of this sequence is

[tex]T_5 = ar^5^-^1\\T_5 = -810 * (\frac{1}{3})^4\\T_5 = -810 * \frac{1}{81} \\T_5 = -10[/tex]

The fourth and fifth term of this sequence is -30 and -10 respectively.

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Given f(x) = 6(1 - x), what is the value of f(-8)?

Answers

Answer:

6(1-(-8)= 54

Step-by-step explanation:

Plug negative 8 in for x and solve the equation

How many kilograms of water must be added to 2. 5 g of methanol (CH30H) to make a 3. 0 m solution?

Answers

Answer:

Given: 150ml of 2.0M CH

3

OH is to be prepared.

Number of moles= M×Volume inL=2.0×0.150=0.3

Molar mass of CH

3

OH=32.04g/mol

∴ Weight of CH

3

OH to be added= 32.04×0.3=9.61g

Step-by-step explanation:

What is the value of the expression 10z-3 when z=4?

Answers

Answer:

37

Step-by-step explanation:

10 x 4 - 3

40 - 3

   37

Answer:

37

Step-by-step explanation:

10*4-3=40-3,which equals 37

plzzzzzzzzzzzz help will get brainlist

When a construction worker is on a platform 10 feet above the ground, we can describe her elevation as +10 feet.


A construction worker digs down to 30 feet below the platform. What is her elevation?

Answers

Her elevation would be -30, because she is 30 feet below the platform (which is considered ground level).

Pls respond fast I’m tired lol I can’t figure it out

Answers

Answer:

62°

Step-by-step explanation:

∠IKD=∠EIB=∠GJI =118°                     (Corresponding angles)

∠GJI+∠AJG=180°                 (Linear Pair)

∴∠AJG= 180°-118°

            =62°

what is the nearest tenth to the square root of 46

PLEASE HELP

Answers

Answer:

6.8

Step-by-step explanation:

This is the answer because:

1) The square root of 46 is 6.78232998...

2) The nearest tenth of this is 6.8 because we have to round 7. Since 8 is greater than 5, we have to round 7 up.

Therefore, the answer is 6.8

Hope this helps! :D


Enter an expression equivalent to (3x2 + 2y2 – 3x) - (2x2 + y2 - 2x) using the fewest number of possible terms

Answers

Answer:

x2+y2-x

Step-by-step explanation:

subtract like terms.

The required equivalent expression is [tex]x^2+y^2-x[/tex].

Important information:

The given expression is [tex](3x^2+2y^2-3x)-(2x^2+y^2-2x)[/tex].Equivalent expression:

The given expression can be written as:

[tex]3x^2+2y^2-3x-2x^2-y^2+2x[/tex]

Combining like terms, we get

[tex](3x^2-2x^2)+(2y^2-y^2)+(-3x+2x)[/tex]

On simplification, we get

[tex]x^2+y^2-x[/tex]

Therefore, the required equivalent expression is [tex]x^2+y^2-x[/tex].

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HURYYYYY BRAINLIEST
The ordered pairs in the table lie in the graph of the linear function whose equation is
y = 3x + 2.

Which ordered pair does not lie on the graph of this function?
A. (10, 32)
B. (8, 13)
C. (–5, –13)
D. (–8, –22)

Answers

y = 3x + 2 = 3 * x + 2

point (10 ; 32) on the line ?

so here we can read : x = 10 and y = 32

if x = 10

then y has to be = 3 * 10 + 2 = 30 + 2 = 32

so yes - on the line

same reasoning for the rest

The ordered pairs which does not lie on the graph of the function are (8,13).

What is function?

Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have corresponding value of y.

The value which we put in the function is domain of the function and the value which we will get is known as codomain of the function.

How to find ordered pairs?

We have been given a function y=3x+2 and we have to find the ordered pairs which does not lie on graph of function. The ordered pairs which lie on the graph must satisfy the function and the ordered pairs which does not lie on the graph must not satisfy the function.

First ordered pair is (10,32)

32=3*10+2

32=30+2

32=32

It lies on graph.

Second ordered pair is (8,13)

12=3*8+2

12=24+2

12≠26

So it does not lie on graph of function y=3x+2.

Hence the ordered pair which does not lie on the graph of function y=3x+2 is (8,13).

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#SPJ2

Write the decimal as a fraction or mixed number in simplest form.
5.22​

Answers

Answer:

5 11/50

Step-by-step explanation:

i used an online calculator and thats what it said

Answer:

5 2/9

Step-by-step explanation:

What is the value of x . 3x+8+6x-4

Answers

Answer:

9x+4

Step-by-step explanation:

3x+6x is 9x

8-4 is 4

9x+4

if you are solving for x, you do 9/9 and 4/9

approximately .44 repeated

I got 9x + 4

EXPLANATION:

Combine Like Terms:

3x+8 + 6x+- 4
=(3x+6x) + (8+-4)
=9x + 4

HOPE THIS HELPED!!

What is the difference
-2 - 8 =

Answers

Answer:

-10

Step-by-step explanation:

-2 - 8 = -10

I hope this helps!

Answer:

-10

Step-by-step explanation:

To find the answer to -2 - 8, we have to remember that when you subtract numbers, they go towards the negatives. So, since it is -2 - 8, you basically just add together the numbers but keep the negative sign, so the answer would be:

-2 - 8 = -10

Hope this helps :)

Please help!! Prove AD is parallel to BC

Answers

Answer:

parallel lines are coplanar straight lines that do not intersect at any point. Lines AD and BC have no intersection.

Answer:

Correct me if I'm wrong!!!

The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K

Answers

For the given similar polygons, the value of x equal to 30.

Similar Polygons

Two polygons are classified as similar when their angles are congruent and their sides are proportional.

If the polygons of this exercise are similar. You can write:

                                   [tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}[/tex]

Then,

                                    [tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}\\ \\ \frac{18}{12}=\frac{x}{20}=\frac{21}{14}[/tex]

It is possible to note that the scale factor is  [tex]\frac{3}{2}[/tex].  See it.

                                         [tex]\frac{18:6}{12:6}=\frac{3}{2} \\ \\ \frac{21:7}{14:7}=\frac{3}{2}[/tex]

Therefore, you can find x from:

                                      [tex]\frac{18}{12}=\frac{x}{20}\\ \\ 12x=18*20\\ \\ 12x=360\\ \\ x=\frac{360}{12} =30[/tex]

Read more about the similar polygons here:

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Anna and Betty share 24 sweets in the ratio 3:5. How many sweets do they get each?

Answers

Answer:

Anna  9 and Betty 15

Step-by-step explanation:

sum the parts of the ratio , 3 + 5 = 8 parts

divide number of sweets by 8 to find value of one part of the ratio

24 ÷ 8 = 3 ← value of 1 part of the ratio , then

3 parts = 3 × 3 = 9

5 parts = 5 × 3 = 15

Anna gets 9 sweets and Betty gets 15

what is negative 2 and 2/3 as a decimal​

Answers

Hi friend! Hope you find this response helpful! :)

0.66666667

the answer is actually -3!

you would take 2/3 and make it a division problem (2÷3). meaning, -2 + (2÷3). then, we get -2 + 1 = -3.
hope this helps!

Determine the value of the variable in the simplified expressions
What is the value of x in this simplified expression?
(-3)?
(-3)*
X
What is the value of y in this simplified expression?
1
K+m
-10
+
1
10
kym
y =

Answers

Answer:

x = 7

y = 5

Step-by-step explanation:

When the exponent is negative in the numerator, putting it into the denominator makes it positive.

When the exponent is negative in the denominator, putting it into the numerator makes it positive.

answer please answer

Answers

Answer:

slope is 3/2

Step-by-step explanation:

point A (20,10),  point B (40,40)

slope= [tex]\frac{(y2-y1)}{(x2-x1)}=\frac{40-10}{40-20}=\frac{30}{20} =\frac{3}{2}[/tex]

I can’t move on till I answer please help

Answers

Answer:

Step-by-step explanation:

Given the x-intercepts at -1 and 5, that means y=0 at x=-1 and x=5.

So (x+1) and (x-5) are root for the parabola.

y = (x+1)*(x-5)

That is the quadratic equation for Question B.

Back to A, the x-coordinate of vertex of this parabola is at x=2.

This is because the parabola is symmetrical at its vertex so the vertex must be at the mid-point between its x-intercepts, x=(-1+5)/2=2.

Write the following ratios in its simplest form 56:112:28

Answers

Answer:

2 : 4 : 1

Step-by-step explanation:

First take common factors by factorization.

56 = 14 x 4 = 28 x 2

112 = 14 x 8 = 28 x 4

28 = 14 x 2 = 28 x 1

Remove the 28 common factor.

Therefore,

56 : 112 : 28

= 2 : 4 : 1

-15/8 + 1/4 = ??????

Answers

Answer:2 1/8 pls give me brainliest

Step-by-step explanation:first step is to change the 1/4 to 2/8. Then add and simplify.

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how much red paint would you need?

Answers

14 would be the answer. (6 x 35)/15 =14

Explain how to write an equation from a table in slope intercept form.

Answers

Answer:

the answer for this is y=mx+b

Answer:

The table gives you three points that are on the line:

(-5, -7), (0, -5), (3, -3)

use any two of them to find the slope.

-3.5y - 6.2y = - 87.3

Answers

Answer:

the answer is 9

Step-by-step explanation:

-3.5y - 6.2y = - 87.3

or, -9.7y = -87.3

or, y = -87.3/-9.7

or, y = 9.

if 10x = 40 million, then what is x

Answers

Answer:

× = 4,000,000

Step-by-step explanation:

40 Million = 40,000,000

40,000,000 ÷ 10

=

4,000,000

Checking:

4,000,000 × 10 = 40,000,000/ 40 Million

When dividing by zero, all you do is remove a zero or move the decimal place to the left.

solve the system of linear equations -x+5y=15 -1/5x+y=3​

Answers

Answer:

[tex](0,3)[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-\frac{1}{5}\left(15-5y\right)+y=3\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-3+2y=3\end{bmatrix}[/tex]

[tex]+3[/tex]             [tex]+3[/tex]

[tex]2y\f=6[/tex]

÷[tex]2[/tex]     ÷[tex]2[/tex]

[tex]y=3[/tex]

[tex]\mathrm{for\:}x=15-5y[/tex]  [tex]\mathrm{substitute\:}y=3[/tex]

[tex]x=15-5\cdot \:3[/tex]

[tex]5*3=15[/tex]

[tex]15-15=0[/tex]

[tex](x,y)[/tex]

[tex](0,3)[/tex]

NEED ASAP!
Which number below comes first when the numbers are listed from least to greatest?
1/6
-4
square root of 2
-6/5
3.5

Answers

Answer:

-4

Step-by-step explanation:

1/6, the square root of 2, and 3.5 are all positive so it is between -6/5 and -4. -6/5 is equal to -1 and 1/5 which is closer to zero than -4. Hope this makes sense!

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