Solve the equation 4x – 9 = 11 for x.

Answers

Answer 1
Answer:

The solution to the equation 4x - 9 = 11 is x = 5.

We will use the appropriate algebraic operations to isolate the variable x in order to solve the equation 4x - 9 = 11 for x.

Here is the detailed answer:

Let's start with the formula: 4x – 9 = 11.

To get rid of the constant term on the left side, add 9 to both sides of the equation:

4x - 9 + 9 = 11 + 9.

When we simplify, we obtain 4x = 20.

To separate x, divide both sides of the equation by 4:

(4x)/4 = 20/4.

To further simplify, we have x = 5.

As a result, x = 5 is the answer to the equation 4x - 9 = 11.

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Answer 2
Answer: remember: you can do ANYTHING to an equation as long as you do it to both sides

4x-9=11
add 9 to BOTH SIDES
4x+9-9=11+9
4x+0=20
4x=20
divide both sides by 4
(4x)/4=20/4
(4/4)x=5
1x=5
x=5

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Evaluate the expression−8−14÷2+5= ?
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What is 8-4/5f>-14-2f

Answers

8-4/5f>-14-2f

(subtract 8 on both sides)

-4/5f>-22-2f

(add 2f on both sides)

6/5f>-22

(divide 6/5 on both sides)

f>-55/3(-18.33)

8-(4)/(5)f>-14-2f\ \ \ \ \ |\cdot5\n\n40-4f>-70-10f\n\n-4f+10f>-70-40\n\n6f>-110\ \ \ \ \ |:6\n\nf>-(110)/(6)\n\nf>-(55)/(3)\n\nf\in(-(55)/(3),\infty)

The cost of 24 bottles of water is $6. Which expression shows how to find the cost of 10bottles of water?

Answers

Answer:

answer is A

Step-by-step explanation:

A. 24/6 x 10

B. 24/10 x 6

C. 6/10 x 24

D. 6/24 x 10

Answer:

6/24×6

Answer: The expression shows to find the cost of 10 bottles of water is given by

\dfrac{6}{24}\times 10

24

6

×10

Step-by-step explanation:

Since we have given that

Cost of 24 bottles of water = $6

Using " Unitary Method":

Cost of 1 bottle of water is given by

\dfrac{6}{24}=\dfrac{1}{4}

24

6

=

4

1

Cost of 10 bottles of water is given by

\begin{lgathered}\dfrac{1}{4}\times 10\\\\=\dfrac{5}{2}\end{lgathered}

4

1

×10

=

2

5

Hence, The expression shows to find the cost of 10 bottles of water is given by

\dfrac{6}{24}\times 10

24

6

×10

Complete the equation of the line through (-10,3) and (-8,-8)Use exact numbers.
y=mx+b format
thank you (:

Answers

opps sorry its corrct but it is y= -11/2x - 52

\bf (\stackrel{x_1}{-10}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-8})\n\n\n% slope  = mslope =  m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-3}{-8-(-10)}\implies \cfrac{-8-3}{-8+10}\implies \cfrac{-11}{2}\n\n\n% point-slope intercept\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=-\cfrac{11}{2}[x-(-10)]\n\n\ny-3=-\cfrac{11}{2}(x+10)\implies y-3=-\cfrac{11}{2}x-55\implies y=-\cfrac{11}{2}x-52

A seafood company produces cans of tuna. Each can gets wrapped with a paper label. If every van has a radius of 8.3 centimeters, what is the approximate length of the paper required to cover two cans?

Answers

First, we should find out what the circumference of one can is and then multiply it by two, because they ask us about two cans.

The formula for calculating the circumference is:
C = 2πr

Good news - we have r! r equals 8.3 cm.
So the circumference of one can, hence length of one piece of paper, equals 2π * 8.3 = 16.6π. Length of two pieces of paper is the result of this multiplication: 2 * 16.6π = 33.2π

The value of y varies directly with the value of x, and y = –21 when x = 3.Which equations represent the relationship between y and x?

Choose exactly two answers that are correct.

A. -7x = y


B. y/x = -7


C. x/y = 7


D. xy = 7

Answers

y=-21~~~~~x=3 \n \n  a)-7x=-7*x\rightarrow-7*3=-21~~(\boxed{\checkmark})~~because~~\boxed{y=-21}\n  \n b) (y)/(x) =-7~~~~~ \rightarrow  (-21)/(3)=-7 ~~ (\boxed{\checkmark})

In Mrs Phillips math class the ratio of boys to girls is 4 to 2. If there are 51 girls in math class, how many boys are there?

Answers

So for every two girls, there's four boys. There are twice as many boys than girls, so the number of girls • 2 = your answer.

51 • 2 = 102