How come this person didn’t divide EVERYTHING on the left by 2? I thought you had to...

How Come This Person Didnt Divide EVERYTHING On The Left By 2? I Thought You Had To...

Answers

Answer 1

The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.

In the expression

2 (6x - 1) + 2 (2x + 5)

both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:

(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)

… = 1 (6x - 1) + 1 (2x - 5)

… = (6x - 1) + (2x - 5)

and so on.

Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,

2×41 + 2×19 = 120

If you divide *everything* on the left by 2, you end up with fractions:

(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2

but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.


Related Questions

Isabel’s class has collected 90 cans in a food drive. They plan to sort the cans into n bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.

Answers

Answer:

90/n

Step-by-step explanation:

There are 90 cans, and each bag MUST have an equal amount of cans, so if we had, let's say 2 bags, then there would be 45 bags. We got this by doing 90/2. 2 being n, the expression would be 90/n.

Look at the picture....

Answers

Answer:

now what

Step-by-step explanation:

Answer:

The graph of g is a vertical stretch of the graph of f.

Step-by-step explanation:

The total cost of making a daily taco special for a restaurant is represented by the function C (t) = 2.5t + 1 , where t is the number of tacos made. How does the total cost change for every taco special the food truck makes?
A. The total cost increases by $1.
B. The total cost increases by $2.50.
C. The total cost decreases by $1.
D. The total cost decreases by $2.50.

Answers

Answer:

C. The total cost increases by $2.50

Step-by-step explanation:

This is because 1 dollar is constent--- you will always have 1 dollar.

However 2.5 is the change, you have to times a number to get the answer.

EX:

(t) = 2.5t + 1

(4) = 2.5( 4) + 1 ----- plug in 4 for t

= 10 +1

= 11

The is the multiplyer or change is the 2.5t

and when you graph it it will almost always be the slope of the line.

Please, help me!!

My answer is
g: 43
h: 137
m: 49
K: 31

But I'm not sure.

Answers

Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

Help please. A store has a sale. Customers can buy one item at full price and take 50% off the cost of a second item with a lesser price. Nikia buys one item with a price of $80 and another item with a price of $120. With the sale, what percent discount does Nikia receive on her total purchase?

Answers

Answer:

Your answer

70% discount on total price

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

What fraction is greter than 3 - 5

Answers

Answer:

4/5 is greater

Step-by-step explanation:

Et of y=x2-4 and + y + 2 = 0?

Answers

The equation y = x2 – 4 + y + 2 = 0 can be solved by completing the square.

What is equation?

An equation is a mathematical statement that to express our equal. Is consist of two expression separated by an equal sign and can contain numbers, variables and operators. Equation get be used to solve problems make prediction and describe relationship between different quantities. Equation can be can also be used to represent physical laws and other phenomena.

First, subtract y from both sides of the equation to get x2 - 4 + 2 = y. Then, subtract 2 from both sides of the equation to get x2 - 6 = y. Finally, add 9/4 to both sides of the equation to get (x - 3/2)2 = 9/4 + y.

This equation can be solved by taking the square root of both sides to get x - 3/2 = ±√(9/4 + y). Finally, add 3/2 to both sides of the equation to get x = 3/2 ±√(9/4 + y).

To know more about Equation click-
https://brainly.com/question/2972832
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I will give you brainlist if you answer this correctly

Answers

Answer:

its 2,340

Step-by-step explanation:

There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday. What percent of 8th graders did not try out for football?

Answers

Answer:

87.5%

Step-by-step explanation:

There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday.

The number is students not trying out for football last Thursday is calculated as:

376 students - 47 students

= 329 students

The percent of 8th graders that did not try out for football is calculated as:

329 students/376 students × 100

= 329/376 × 100

= 87.5 %

guys bought 2/3 pound of turkey and 1/4 pound of ham.The tukey cost 9 dollars per pound, and the ham cost 7 dollars per pound.In all,how much did gus spend?​

Answers

Answer:

$7.75 in total

Similar triangles are congruent.
sometimes
always
never

Answers

the answer is always i’m pretty sure

In 8 hours if Martha writes 2 essays, how many essays can she write in 15 hours?

Answers

Answer:

Martha can write 3.75 essays in 15 hours. (Which is a lot for me)

Step-by-step explanation:

First, I divide 2 by 8.

2 ÷ 8 = 0.25

Next I multiply 0.25 by 15.

0.25 * 15 = 3.75

So, the answer is 3.75

Hope this helps! :)

Step-by-step explanation:

in 8 hours she wrote = 2 essay

in 1 hour she wrote = 2/8 = 1/4

in 15 she wrote = 15 × 1/4 = 15/4 or 3.75 essays .

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Solve the system by substitution.
y = 5x
y = 9x + 4

Answers

Answer:

(-1, -5)

Step-by-step explanation:

[tex]\left \{ {{y=5x} \atop {y=9x+4}} \right.[/tex]

1. We must calculate x, for that we must substitute y, so we have:

5x=9x+4

2. Now we solve the equation.

5x-9x=4

-4x=4

x=-1

3. Now we must calculate y

y=5x

y=5(-1)

y=-5

And the answer is (-1, -5)


Which of the follow is true about it

Answers

I think it’s the second option
Answer: [tex]\boxed{\boxed{\sf{It~should~be~to~the~left~of~9~on~a~number~line.}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]

So your answer is [tex]\bold{On~the~left~of~9}[/tex].

______________________________

AGAIQJSJWJ PLEASE HELPP
y = 5x - 6&y= -4x + 3
Use the Equal Values Method to solve for x and y

Answers

Answer: x = 1 and y = -1

Step-by-step explanation:

Since both equations are equal to y, that means the equations are both equal to each other

5x - 6 = -4x + 3

Solve for x how you would traditionally do it with any other one-variable equation

9x = 9

x = 1

Plug the now known x value into either equation and you will get your y value.

5(1) - 6 = -1

-4(1) + 3 = -1

2/5 in Fraction form?

Answers

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

write and equation for the trend line shown

Answers

Answer:

y = [tex]-\frac{10}{3}[/tex]x + 70

or

y = 70 [tex]-\frac{10}{3}x[/tex]

(They're both the same equation, whichever one you prefer you can use!)

(06.02)
The graph shows the number of hours driving and the distance from home:
Road Trip
350
300
250
200
Distance from Home
150
100
50
0
10 1
2.
3 4 5 6
Hours Driving
Which statement best describes the relationship between the number of hours driving
a
As the hours driving increases, the distance from home decreases
Ob
As the hours driving increases, the distance from home increases.
As the hours driving decreases, the distance from home increases
No relationship can be determined.

Answers

Answer:

The answer is B.)

Step-by-step explanation:

Step-by- step explanation:

Answer:

The answer is B because it is the one that makes the most sense.

Step-by-step explanation:

A B C D Which triangles are similar?​

Answers

Answer:

DBA ok you got that maybe

distribute 3(-4x-3)

Answers

Answer:

-12x-9

Step-by-step explanation:

3 times -4x is -12x

3 times -3 is -9

In an equation the answer is:

-12x-9

distribute the number outside the parenthesis to the ones inside.

3 • -4x

and

3 • -3

so -12x •-9

hope this helps

which table of values can be defined by the function y =6x - 2?

Answers


i need help with this question too! :(

Answer:

the answer is A

Step-by-step explanation:


help anyone plsssss

Answers

Answer:

a

Step-by-step explanation:

15x+45

5*3=15

5*9=45

5(3x+45)

Provide an exact evaluation of the expression:

Answers

-1/2 is the answer hope it's correct

if it is in degrees then it should be -1/2 if I’m not wrong. if it is radians the answer will be different

plz help fast solve this

Answers

Answer:

3

1

2

Step-by-step explanation:

Math simplification

Answer:

A=3, B=1, C=2

Step-by-step explanation:

Juan bought 4.5 lbs of coffee for $7.98 per lb. Sales tax is 6%. What was the total amount Juan paid for the coffee?

Answers

Answer:

the amount he paid is 36.06

Step-by-step explanation:

hope this helps

Answer:

$33.7554

Step-by-step explanation:

4.5 x 7.98

35.91- the amount without the sales reduction

6% of 35.91

6/100 x 35.91

2.1546- the amount that was deducted

to find out how much he paid we will subtract the deducted amount from the original price which is

35.91-2.1546

$33.7554 is the amount he paid

What is the name of this solid figure?

Answers

Answer:

the picture isn't whole, but what I see is a cylinder.

Step-by-step explanation:

what are major turning points in algebraic knowledge through out history

Answers

Answer:

There are a lot of turning point in the history of algebra one of those is the discovery of  the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.

Step-by-step explanation:

Help please!
Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?
A. Diana bought 16 boxes of pizza.
B. Diana bought more sodas than boxes of pizza.
C. Diana bought 6 boxes of pizza.
D. Diana bought an equal number of sodas and pizzas

Answers

Answer:

B. I think

Step-by-step explanation:

1.50 times 86 equals 129 witch would mean Diana bought 86 sodas

8 is equal to 1 pizza so Dianna could have bought 1 pizza

86>1

8+129 is 137 so I think the answer is B.

Help with this and I will give you the brainiest and you get 10 points

Answers

Answer:

1.-22

2.2

3.48

4.3b

5.1+5v

6.2m+20

7.p=-9

8.x=8

Find the quotient:
2x² – 9x - 5
x-5
10)
Type answer here

Answers

Answer: 2x+1

Step-by-step explanation:

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