solve the formula for
A=1/2 bh for b .

Answer:

Writing an equation to model a real-world problem is often easier when you take the information given in the problem and express it in verbal form by using a few key words. This is very similar to translating verbal phrases into variable expressions. The difference is you will be translating a verbal sentence into an equation. Then, you can solve the equation using inverse operations.

Let’s look at an example.

Monica purchased a pair of tennis shoes that had this sticker on the bottom of the shoe.

$99.00$65.99

Use a verbal model to write and solve an equation to determine the amount of money Monica saved by purchasing the shoes on sale.

First, write a verbal model to represent the problem.

Verbal Model:

Sales Price+Amount Saved=Original Price

Next, name the variable.

Let ‘

s

’ represent the amount saved.

Next, solve the equation you have written. Remember an equation is like a balance scale. To keep the scale balanced, what you do to one side of the equation you must also do to the other side. When solving an equation your goal is to isolate the variable on one side of the equation and the numerical terms on the other side. This is done by performing inverse operations.

65.99+s=99.00

First, isolate the variable ‘

s

’ by subtracting 65.99 from both sides of the equation. Subtraction is the inverse of addition.

65.99−65.99+s=99.00−65.99

Next, simplify each side.

s=33.01

The answer is $33.01.

A variable can be any element that we can, in some way, change.

The general form of modeling and solving real life problems that involve one variable is:

So for example, something that we can define with a variable is "How many of one type of item we can buy if we know its price"

For example, if we know that a shirt costs $10, then the price of x of these shirts is:

y = $10*x

Now, if you know how much money you have, you can use this equation to find how many shirts you can buy.

For example, you know that you have $20, then y = $20

$20 = $10*x

To solve this we need to isolate the variable on one side:

$20/$10 = x

2 = x

You can buy two shirts.

Now, the general form of modeling and solving real life problems that involve one variable is:

If you want to learn more, you can read:

https://brainly.com/question/1806181

Answer:

x=15

Converse: If line x and y are parallel then angles on the same line are supplementary angles.

Step-by-step explanation:

Converse:

Let's start with the converse, so if line x and y are parallel then angles on the same line are supplementary angles. I'm not sure if that's the converse your teacher wants but my teacher taught me this.

Finding x:

Now we know that the angles are supplementary angles, that means if w add them together we get 180°. So our equation will be [tex]10x-22+3x+7=180[/tex]. Now we just solve it. We start by combining like terms, then adding the 15 to both sides, and lastly we divide the 13 to both sides and get...

[tex]10x-22+3x+7=180\\13x-15=180\\13x=195\\x=15[/tex]

x=15

9514 1404 393

Answer:

  b = (-5, 2)

Step-by-step explanation:

b = 2m - a = 2(1, -1) -(7, -4) = (2-7, -2+4)

b = (-5, 2)

__

About the formula

The midpoint is given by the formula ...

  m = (a+b)/2

Solving for b gives ...

  b = 2m -a . . . as above

This question is the same as yours and has a verified answer:

https://brainly.com/question/9118873?referrer=fromSearch

I hope this helps!

Answer:

1. 9.8

2. 3.8

3. -19

Hope it helps :)

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You turn the fractions improper, 9/2 x 8/3. Multiply the top numbers and then multiply the bottom. Simplify to get 12.

Answer:

80,023,904

Step-by-step explanation:

Just add all the numbers together.

Answer:

"8023904

Step-by-step explanation:

20 000 + 8 000 000=8020000

4+3000=3004

3004+900=3904

3904+ "8023904"

Answer:

400 in³

Step-by-step explanation:

Height (h) = 10 in

Base Area [tex] \sf (A_B) [/tex] = 40 in²

Formula of Volume of Cylinder:

[tex] \boxed{ \bf{V = A_Bh}}[/tex]

By substituting values in the equation, we get:

[tex] \rm \longrightarrow V = 40 \times 10 \\ \\ \rm \longrightarrow V = 400 \: {in}^{3} [/tex]

Answer:

A

Step-by-step explanation:

Answer:

2/3=6/9

5/24>1/6

Step-by-step explanation:

Step-by-step explanation:

id-8253381513

password-9999

Answer:

the correct answer is A. but dont trust me on this

Step-by-step explanation:

Answer:

15x+5

Step-by-step explanation:

First you distribute the 5 to the 3x ( 5 times 3x=15x)

Next you distribute the 5 to the 1 (5 times 1=5)

Finally you put the two answers together 15x+1

you cant simplify it anymore because you cannot add 15x to 1

[tex]\huge\boxed{Hello\:there!:)}[/tex]

The Distributive Property states that

a(b+c)=ab+ac (we multiply a by b and c)

Let's use this fantastic property to solve our problem:

5(3x+1)

15x+5

That's our final answer.

Remember, we can't add variables and numbers together.

[tex]\huge\boxed{\sf{Hope\:it\:helps!}}[/tex]

[tex]\huge\bf{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3

Answer:

The equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

Step-by-step explanation:

Given the points

Finding the slope between the points using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-39,\:49\right),\:\left(x_2,\:y_2\right)=\left(0,\:0\right)[/tex]

[tex]m=\frac{0-49}{0-\left(-39\right)}[/tex]

[tex]m=-\frac{49}{39}[/tex]

We know that the point-slope of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting [tex]m=-\frac{49}{39}[/tex] and (-39,49)  in the equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

Now writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

[tex]y-49=\frac{-49}{39}\left(x-\left(-39\right)\right)[/tex]

[tex]y-49=\frac{-49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]y-49=-\frac{49}{39}\left(x+39\right)[/tex]

[tex]\mathrm{Add\:}49\mathrm{\:to\:both\:sides}[/tex]

[tex]y-49+49=-\frac{49}{39}\left(x+39\right)+49[/tex]

[tex]y=-\frac{49}{39}x+0[/tex]              ∵ [tex]y=mx+b[/tex]

Where

[tex]m=-\frac{49}{39}[/tex] and the y-intercept i.e. [tex]b=0[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{49}{39}x+0[/tex]

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)

Answer:

10 miles

Step-by-step explanation:

Distance d = v t

v - speed/velocity

t - time

d = [tex]\frac{3}{4}[/tex] (8) + [tex]\frac{1}{3}[/tex] (12) = 6 + 4 = 10 miles

Answer:

noentiendo. que preguntas?

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + y = 8 ⇔ y = - x + 8

If x = 6 , then y = - 6 + 8 = 2

( 6, 2 )

If x = 0 , then y = 0 + 8 = 8

(0, 8)

If x = 8 , then y = - 8 + 8 = 0

(8, 0)

Answer:#1 she didn't finish solving

#2 finish solving for a.

#3 it is similar to solving a two step equation because it is a two step equation just there are variables to go along with it.

Step-by-step explanation:

Answer:

no solution for x in the real numbers

Answer:

A . 2pi/3+ 2nk.....

Step-by-step explanation:

Answer:

The numbers are:

Step-by-step explanation:

Let 'x' be the smaller number

As the lager of two numbers is 15 more than three times the smaller. so,

The larger number = 3x+15

As the sum of the two numbers is 63, so the equation becomes

[tex]x + 3x + 15 = 63[/tex]

[tex]x+3x=63-15[/tex]

[tex]4x=48[/tex]

Divide both sides of the equation by

[tex]\frac{4x}{4}=\frac{48}{4}[/tex]

[tex]x = 12[/tex]

Therefore,

The smaller number = x = 12

The larger number  = 3x+15 = 3(12) + 15 = 36+15 = 51

Hence, the numbers are:

Answer:

3/16

Step-by-step explanation:

Easy!! USE A CALCULATOR! LOL!

Answer: 2.51718887 × 10-63 m5 kg2 / s2

Step-by-step explanation:

pretty sure oh and -63, 5 next to m, 2 in kg, and 2 in s is  supposed to be smaller

Answer:

The equation of the least-squares regression line for this plot is approximately ŷ = 3.8 + two thirds times x.

Step-by-step explanation:

Answer:

3/32 , 5/16 , 3/8 , 1/2 , 3/4

Step-by-step explanation:

Multiply them to give them all a common denominator of 32

Answer:

3/32, 5/16, 3/8, 1/2, 3/4,  

Answer

you would need 24/3 paint to cover the wall.

Step-by-step explanation:

and 24/3 simplified is 8/1.

so you will need 8/1 paint to cover the wall.