Arianna and Blair are working on a problem together: Solve x/3 + 8 = -2. Blair thinks the first step is to multiply by 3. Arianna explains that this, not the most efficient way to solve. Explain who is correct and justify your reasoning.

Answers

Answer 1

x/3 + 8 = -2

Because x is in a fraction, the most efficient way to solve is to remove the 8 first.

The first step should be to subtract 8 from both sides:

x/3 = -10

Then you would multiply both sides by 3:

x = -30

Answer 2

Blair was correct but Arianna is correct too.

Let's see why :

_________________________________ We're gonna solve it from Blair's method .

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Multiply sides by 3

[tex]x + 24 = - 6[/tex]

Subtract sides minus 24

[tex]x = - 6 - 24[/tex]

[tex]x = - 30[/tex]

_________________________________

The faster way is :

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Subtract sides minus 8

[tex] \frac{x}{3} = - 2 - 8 \\ [/tex]

[tex] \frac{x}{3} = - 10 \\ [/tex]

Multiply sides by 3

[tex]x = - 30[/tex]

It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.

So Arianna is correct.

I think this is the correct answer.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️


Related Questions

what is the answer for 3 7/3 ×2

Answers

Answer:

10 2/3

Step-by-step explanation:

3 7/3 = 16/3 x 2/1 =

32/3 = 10 2/3

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

                   -SGO

HELP ME PLZZ THIS DUE TODAY!

Answers

Answer:

D.

Step-by-step explanation:

I think that the easiest one would be D, because even after you use the property, it will still have addition only.

Slove

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

Answers

Answer:

[tex]\frac{9}{35}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}-\frac{1}{7}[/tex]

Finding LCM: loading...

5,7 : 35

Adjust fraction based on LCM:

[tex]=\frac{14}{35}-\frac{5}{35}[/tex]

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

[tex]=\frac{14-5}{35}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:14-5=9[/tex]

[tex]=\frac{9}{35}[/tex]

[RevyBreeze]

After 2 years, $50,000 deposited in a savings account with simple interest had earned $15,000 in interest. What was the interest rate?

Answers

Answer:

15% simple interest

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

what is -2(3x + 12y - 17x -16y + 4) simplified?

Answers

Answer:

28x+8y-8

Step-by-step explanation:

Follow the orders of PEMDAS:  (parenthesis, exponents, multiplication, division, addition, subtraction)

If an equation you need to solve has parentheses, simplify the parentheses (most often using distribution) and then solve as you normally would. Simplify both sides of the equation as much as possible using the order of operations (distribute, combine like terms, etc.).

answer

28x+8y-8

Step-by-step explanation:

-6x -24y +34x +32y -8

HELPPPP
What is the value of x that makes the given equation true?


​x−3x=2(4+x)​



A. ​x=−4​


​​ B. ​x=−3​


​​C. ​x=−2​


D. ​x=−1

Answers

Answer:

I think your answer is c x=-2

Step-by-step explanation:

:)

I’m confused can someone help :(

Answers

Answer:

27 over 4

Step-by-step explanation:

To solve this, work on each side, one at a time.

Since there are variables, replace them with the numbers provided.

7x - 3y

over

2x + y

Can be translated to...

7 * 3 - 3 * -2

over

2 * 3 + -2

Let's work with the top side first.

7 * 3 - 3 * -2

Remember the order of operations (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Keep in mind that Multiplication and Division as well as Addition and Subtraction are done in the order shown in the problem.

Let's start by doing the multiplication...

21 - (-6)

Then the subtraction!

27!

Now for the bottom side...

2 * 3 + -2

Multiply first.

6 + -2

Then add!

4!

This leaves the answer as...

27 over 4!

What is the equation for (4,8) please someone help I have a test tomorrow.

Answers

Answer:

Your answer will be y=x2−12x+32

Step-by-step explanation:

Step 1 : x = 4 and  x = 8 are the two real distinct solutions for the quadratic equation, which means that  x − 4  and  x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0

Step 2: Expand  ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0

Which would give you x2 − 12 x + 32 = 0

Step 3: The standard quadratic equation using the given set of solutions

{ 4  , 8 } is y = x 2 − 12 x + 32 .

This is you answer should be  

y = x 2 − 12 x + 32

Perform the indicated operation. 1 3 2. 4 3 어 23 5 02. 히 12 O2 2 주를​

Answers

Answer:

huh am lost

Step-by-step explanation:

what is the question all about I can only understand the figure but not the symbol

really stuck on this question idrk why.. can anyone help me?

Answers

Answer:

i think its C) 3x^2 + 5

Step-by-step explanation:

because it matches it matched the rectangle, I'm so sorry if this is wrong I tried my best good luck!!

Answer:

3x^2 + 15x

Step-by-step explanation:

area = length x width

a = 3x(x + 5)

a = 3x^2 + 15x

43 A rescue boat on the ocean surface detects a sunken ship on the ocean floor. The sunken
ship makes an angle of 55° with the surface.
The distance between the rescue boat and
the sunken ship is 250 m.

Answers

Using the slope concept, it is found that the ship is sunken at a depth of 357 meters.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is the depth d.The horizontal change is of 250 m.The angle is of 55º.

Hence, applying the slope:

[tex]\tan{55^\circ} = \frac{d}{250}[/tex]

[tex]d = 250\tan{55^\circ}[/tex]

[tex]d = 357[/tex]

The ship is sunken at a depth of 357 meters.

More can be learned about the slope concept at https://brainly.com/question/18090623

Solve: (4x-1) divided by 2 =x+7

Answers

Answer:

x=5/2

Step-by-step explanation:

4x-1/2=x+7

4x-x=7+1/2

3x=14/2+1/2

3x=15/2

x=15/2×1/3

so

x=5/2

There are 32 students in a class. Nine of those students are women. What percent are men?

Answers

Answer:

72%

Step-by-step explanation:

you can divide part of a whole by the whole to get a decimal

this decimal is the percentage when you move the decimal 2 places to the right

32 - 9 = 23 men

23/32 = .72 (rounded)

.72 = 72%

PLSS HELP?!!

Use the number line below to determine the ratio of AD to El.
A B C D E F G H I J K
+
0
10
20
30
40
50
a. 3:8
b. 4:3
C. 3:4
d. 8:3
Please select the best answer from the choices provided
ΟΑ
B
OD

Answers

C. Because it is 15:20 which can be simplified to 3:4 if you divide both by 5.

7. The time required to process a shipment of goods at Wal-Mart varies directly
with the number of goods and inversely with the number of workers assigned
IF 15.000 items can be processed by 8 workers in 10 hours, then how long would
it take 12 workers to process 20.000 items?

Answers

Answer:

I think 8 hours sorry if i am wrong.

Step-by-step explanation:

Can I have Brainliest if right?

The perimeter of the rectangle below is 102 ft. What is the value of X
one side is (2+x) ft
the other is 3 ft​

Answers

Answer:

X=46 ft.

Step-by-step explanation:

Write an equation to solve the problem.

Since one side is 3 ft, don’t forget that there is another side of the rectangle that is also 3 ft. We can add this part to the equation as 2(3).

Now, let’s see the other side. It’s (2+x) ft. As mentioned before, there are another side, so, you guessed it: 2(2+x).

We have our equation:

2(3)+2(2+x) = 102 ft.

Simplify first:

6+4+2x = 102 ft.

10+2x=102 ft.

2x=92 ft.

x=46 ft.

can anyone explain this to me

Answers

Answer:

angle 1: 30

angle 2: 41

angle 3: 96

Step-by-step explanation:

So the angles' sum in one triangle is 180 degrees so you know two of the first triangle's angles so you sum them up and you get: 150 so now you subtract that from 180 and get 30.

Now you can see that if you want to get angle 2 you need to get angle 3 first. so you can see that the 84 degrees is on the same line as angle 3 so, we also know that a line is 180 degrees. so 180-84=96.

Now to get angle 2 we just simply sum up 43 and 96 which is 139, then we subtract that from 180, then we get 41.

Work out the bearing of B from A. I really need help with this.

Answers

Answer:

bearing of B from A is 245°

Step-by-step explanation:

the bearing of B from A is the measure of the clockwise angle from the northline N to B , that is

360° - 115° = 245°

WHAT IS X IF THE EQUATION IS X - 3 = 6?

Answers

Answer:

9

Step-by-step explanation:

You substitute 9 for x and 9 - 3 = 6


I hope it helps! Have a great day!
Muffin ^^

Answer:

9

Step-by-step explanation:

Add 3 to the 6 and that will get rid of the 3. You will get 9.

x - 3 = 6

x -3 + 3 = 6 + 3

x = 9

Have an amazing day!

PLEASE RATE!

Find the quotient.
9 divided by 2 1/2
a. 4 2/5
b.3 1/5
c. 3 3/5
d.17 7/9

Answers

Answer:

c 3 3/5

Step-by-step explanation:

change to improper fraction

multiply by reciprocal simplify

C. 3 3/5 Hope this helps

-2p - 6(p - 4) + 22
(Explanation)

Answers

Answer:

= -8p+46

Step-by-step explanation:

Let's simplify step-by-step.

−2p−6(p−4)+22

Distribute:

=−2p+(−6)(p)+(−6)(−4)+22

=−2p+−6p+24+22

Combine Like Terms:

=−2p+−6p+24+22

=(−2p+−6p)+(24+22)

=−8p+46

(There u go ;)

AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. using m for miles write the expression that depicts this situation

Answers

Answer:

y= 49.99x+.99

Step-by-step explanation:

Which line segment is a radius of circle F?

FE
AC
ED
DC

Answers

Answer:

FE

Step-by-step explanation:

FE- radius

AC- diameter

ED- arc

DC- arc

RADIUS

Question:

» Which line segment is a radius of circle F?

[tex] {\overline{FE}}[/tex][tex] {\overline{AC}}[/tex][tex] {\overline{ED}}[/tex][tex] {\overline{DC}}[/tex]Answer:[tex] \bold{Radius/Radii = } \: \purple{ {\overline{FE}} }[/tex]Explanation:Radius is one-half (½) of the diameter. Radii (plural of radius)

_______________∞_______________

What do you do if you get a decimal point while trying to find the mean

Answers

Answer:

you leave the decimal point In the answer.

Given y=f(x) when f(x) = 2 the graph of y=[tex]\sqrt{f(x)}[/tex]
a. is undefined
b. intersects y=f(x) on the x axis
c. is above the graph of y=f(x)
d. intersects the graph of y=f(x)
e. is below the graph of y=f(x)

Answers

Answer:

  e.  is below the graph of y=f(x)

Step-by-step explanation:

The graph of y = √2 is below the graph of y = 2.

__

Both graphs are horizontal lines. √2 is about 1.414, so is less than 2. On a coordinate plane with values of y increasing in the "up" direction, y=1.414 will be graphed below y=2.

Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below. France: height = 1,050 feet; base = 328 feet. 1. Proportion: StartFraction 1050 over 328 EndFraction = StartFraction 5 over x EndFraction. 2. Cross Products: 1050 (x) = 328 (5). 3. Simplify: 1050 x = 1640. 4. Divide: x almost-equals 1. 5619. The reduced tower height is about 1. 6 feet. What was Sharon’s error in finding the missing height measurement for her reduced tower? Her proportion does not have corresponding parts in the same position. For cross products, she needed to multiply 1050(328) and 5(x). She needed to divide both sides by 1640, instead of 1050. She needed to round down to 1. 5 feet.

Answers

Answer:

A.) Her proportion does not have corresponding parts in the same position.

Step-by-step explanation:

Sharon got the wrong answer which was supposed to be 1.6 feet

what is the length of the sediment with endpoints (-3,4) and (5,4)

Answers

(-3,4); (5,4)

In image

--_----------------

The height of Tower A is 870 feet more than Tower B. The two towers have a combined height of 1,640 foot. What are the heights of each tower?

Answers

870 and 770 are the answers of the 2 towers

Ricardo's recipe for 4 loaves of bread requires 4 7 cup of olive oil. He only wants to make 1 loaf. Ricardo makes a model to find out how much oil he needs to use. He folds a piece of paper vertically into six parts and shades four parts. Then he folds the paper horizontally into four parts and shades 1 4 of the shaded part. Ricardo decides he needs 1 4 cup of olive oil. Is he right? Complete the explanation. Give your answer as a simplified fraction. He used the number of parts he shaded, 16, as the denominator.

Answers

Answer:

Here

Step-by-step explanation:

Ricardo's recipe for 4 loaves of bread requires 2/3 cup of olive oil.Now we are given that he wants to make 1 loaf. So, 4 loaves requires cup of oil So, 1 loaf requires cup of oil.
Ricardo is wrong.

he requires 1/6 cup of oil to make 1 loaf .While he decided he needs 1/4 cups

Can anyone solve this?

Answers

First, find the area of the table...

d = 4 ft  ---> r = 2 ft

Area = 3.14 * (2 ft)² = 12.56 ft²

Find how many pads will cover the entire table. Since each pad is 1 ft²...

# of pads = 12.56 ft² / 1 ft² = 12.56

Find the total cost for all pads...

Total cost = 12.56 * $0.75 = $9.42

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