A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?

[tex] \huge \bf \: Question : [/tex]

[tex]3 = 2x[/tex]

This is an equation. We need to find the value of X and verify it.

[tex] \huge \bf \: Solution : [/tex]

Let's find out the value of X :-

[tex] \sf \implies \: 3 = 2x[/tex]

Firstly, over turn the equation :-

[tex]\sf \implies2x = 3[/tex]

Then, Divide both sides of this equation by 2 :-

[tex]\sf \implies \: \dfrac{2x}{2} = \dfrac{3}{2} [/tex]

Cancel 2/2 on this equation and Leave x :-

3/2 can't be cancelled.

[tex]\sf \implies \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{3}{2} [/tex]

[tex]\sf \implies \: x = \dfrac{3}{2} [/tex]

Hence the value of x is 3/2.

________________________________

[tex] \bf \huge \: Verification : [/tex]

Put the value of x on this equation :-

[tex]\sf \implies \: 3 = 2x[/tex]

On Putting 3/2 instead of x :-

As we know that x is multiplied with 2 so,

[tex]\sf \implies \: 3 = 2 \times \dfrac{3}{2} [/tex]

Simplify this equation(Cancel 2 and 2) :-

[tex]\sf \implies \: 3 = \cancel2 \times \dfrac{3}{ \cancel2} [/tex]

[tex]\sf \implies \: 3 = 3[/tex]

[tex]\sf \implies \bf \: L HS = RHS[/tex]

[tex] \boxed {\bf\huge Hence, verified.}[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer:

56

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

14×2=28

28+2=30

i hate riddles

Answer: 6h-36k+42

Step-by-step explanation:

6(h - 6k+7)

First, start by doing 6 times h

Then, 6 times -6k

Lastly, 6 times 7.

6h-36k+42 is your answer.

Answer:easy it’s 8

Step-by-step explanation:I just did that same ixl/quiz!

Answer:

96

Step-by-step explanation:

trust me I'm good at math

Answer:

Solution here

Earning=$12 per hour

Raise=6%

The amount earned by Sam after raise=6×12/100

=72/100

=$0.72

The total amount made by Sam after the raise = $12+$0.72

=$12.72

Answer:

answer will be a 1,208 square centimeters

Step-by-step explanation:

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Answer:

A.  52 green beads; 39 yellow beads

Step-by-step explanation:

See the attachment.  If we take the ratios of 4, 2 , and 3, they add to 9.  The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G:  52 Beads

B:  26 Beads

Y:  39  Beads

Answer:

4/3 or 1 1/3

Step-by-step explanation:

To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)

Answer:

Slope is 4/3

Step-by-step explanation:

Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.

The formula of slope between two points can be expressed as several equations, expressions, etc such as:

[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.

Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.

Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]

Therefore the slope of two points is 4/3.

__________________

Let me know in comment if you have any questions.

Answer:

D. x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

Evaluate 0 and 1 (xe+ex)Dx

Answer:

9 is the answer, wanna know how?

Step by Step explanation : So you do this and that equals 9.

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

67-32x= 54-34

Subtract 54-34

you would get 20

67-32x= 20 (subtract 67 from both sides of the equation )

-67            -67

-32x/-32=  -47/-32     (Divide -32  on the both sides )

You get a decimal :

x= 1.46875    

Round this answer:

x= 1.5

Answer:

x = 47/32 or 1.46875 ( 1.5 rounded)

Step-by-step explanation:

1) Simplify 54 - 34 to 20.

67 - 32x = 20.

2) Subtract 67 from both sides.

-32x = 20 - 67.

3) Simplify 20 - 67 to -47.

-32x = -47.

4) Divide both sides by -32.

x = -47/-32.

5)  Two negatives make a positive.

x = 47/32

Answer:

731 miles

Step-by-step explanation:

344 miles / 8 hours = 43 mph

17 hours * 43 mph = 731 miles

Answer:

It is D

Step-by-step explanation:

I am not exactly sure how to explain but i'll try.

The 2 dollars is added to her price, so it is not A.

The 25 dollars is every day, so it is mutlipled by x. So its not B.

The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.

Answer: B

Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2

Answer:

It is C

Step-by-step explanation:

"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

Answer:

x=18

Step-by-step explanation:

x - 3 = 15

+3

x=18

Answer: measure of the central angle

Step-by-step explanation: trust

Answer:

measure of the central angle

Step-by-step explanation:

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300

Answer:

x ft is the answer since X = 10

so it means 10 ft

Answer:

OD 60 in by 45 in

Step-by-step explanation:

Answer:

  82/63

Step-by-step explanation:

The sum can be found using the formula ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]

For the given fractions, the sum is ...

  [tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]

_____

Additional comment

When the denominators have no common factor, the least common denominator is their product, as here.

Answer:

For this question, you can make the denominators the same to get the answer.

LCM of 7 and 9 = 63

[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]

         = [tex]\frac{82}{63}[/tex]

         = 1[tex]\frac{19}{63}[/tex]

Answer:

12

Step-by-step explanation:

We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.

Answer:

A-b because radius is the line segments from its center to its perimeter

Step-by-step explanation:

Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,

[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]

where k = 0, 1, 2, or 3. Then the 4th roots of -4 are

[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]

[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]

[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]

[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]

Step-by-step explanation:

when a line cuts through 2 parallel lines, it does the exact same thing to both lines. it has to. because they are parallel, they act as if they are identical. only their placement is different, but this has no impact on the angles between the lines.

now, imagine a circle with the center at one of the crossing points. this circle is cut in half by the central line.

you know how many degrees a full circle has ?

360 degrees.

now, how many degrees are represented by the half- circle above or below the center line ?

of course, half of the degrees of the full circle. that means 180 degrees.

so, all the angles around a single point on one side of a line must have how many degrees together ?

right, these half-circle 180 degrees again.

because of everything we said up there, the angle 4x+6 is the same as the angle right of the 7x-2 angle.

so, 7x-2 and 4x+6 must be 180 degrees together.

that is called "supplementary angles".

7x - 2 + 4x + 6 = 180

11x = 176

x = 16