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

which of the following rational functions is graphed below. A.F(x)=1/x(x+2) B. F(x)=2x/x(x-2) C.F(x)=2x/x(x-2) D. F(x)=(x+1)/(x+2)(x+0)

Answers

Answer:

you don't have the graph

Step-by-step explanation:

At a particular high school, 48% of all students have missed at least one school day in the past month. The school’s principal selects a random sample of 50 students, and 32% of those students say they missed at least one school day in the last month. Which statement is true?
A. 32% is a parameter and 50 is a statistic.
b. 32% is a parameter and 48% is a statistic.
c.32% is a population and 48% is a sample.
d.48% is a population and 32% is a sample.
e.48% is a parameter and 32% is a statistic.

Answers

Answer: E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

what is the slope of the line passing through the points (2, 5) and (-1, -4)? show your work

Answers

Answer:

We can solve this question using the slope equation which is y2-y1/x2-x1

If you use that formula and sub in the coordinates

-4 - 5 / -1-2

-9/-3

= 3

The slope should be 3/1

Answer:

m = 3

Step-by-step explanation:

Use slope formula

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

-4-5/-1-2 = 3

In the triangle below, x= cm round to the nearest tenth

Answers

9514 1404 393

Answer:

  8.6 cm

Step-by-step explanation:

We notice the hypotenuse is given, and the desired length is of the side opposite the given angle.

The mnemonic SOH CAH TOA reminds you of the relevant relationship:

  Sin = Opposite/Hypotenuse

  sin(35°) = x/(15 cm) . . . . . . fill in the given information

We can multiply by 15 cm to find the value of x.

  x = (15 cm)sin(35°)

  x ≈ 8.6

_____

For those inclined to copy this answer to a different question, we suggest ...

  y = (15 cm)cos(35°) ≈ 12.3 cm

Answer: 8.603646545 or rounded to the nearest tenth 8.6

Step-by-step explanation:

you are going to have to use (sin). so,

(15)sin(35)

8.603646545 or 8.6

this is correct.

JoAnn paid $3.80 for each book at a book sale.
How much did she spend if she bought 9 books?

Answers

Answer:

$34.20

Step-by-step explanation:

total spent =3.80*9=$34.20

SOMONE HELP PLSSSS IM SO CONFUSED

35.95+7.75%

Answers

Answer:

43.7

Step-by-step explanation:

Please please please help.

Answers

Answer and Step-by-step explanation:

A. Cruz is correct.

B. When we have a negative within a cube root, what we can do is move the negative sign from inside to outside the cube root.

[tex]\sqrt[3]{-64} = -\sqrt[3]{64}[/tex]

Now that we have a positive number within the cube root, we can solve the cube root itself.

So what is the cube root of 64?

The answer is 4, and since we have a negative sign outside of the cuberoot, we just put a negative sign, our answer is -4.

C. Aaron could've got it wrong because he did it a square root instead of a cuberoot of 64. Square root of 64 is 8, while cube root is 4.

Jacob could've gotten it wrong because he must've followed the fallacy that you cannot cube root a negative number.

during her first six months, susie gained 25% more than her birth weight. if she gained 2 1/2 pounds during this period, how much did she weigh at birth?

Answers

Answer:

the answer is

25% = 2.5 pounds

25 x 4 = 100%

2.5 x 4 = 10 pounds

Step-by-step explanation:

Find slope intercept form.
(M=1/2) (6,3)

Answers

Answer:

y = (1/2)x

Step-by-step explanation:

Start with that form:  y = mx + b.  Substitute 1/2 for m, 6 for x and 3 for y, for the purpose of finding the value of the y-intercept, b:

3 = (1/2)(6) + b.  Thus, b = 0 and the desired equation is  y = (1/2)x.

Simplify the expression:
(6y + 10) - (2y + 3)
show work if u can

Answers

Answer:

4y + 7

Step-by-step explanation:

(6y + 10) - (2y + 3)

6y - 2y = 4y

10 - 3 = 7

4y + 7

What is another way to express 9⁴?

Answers

9 • 9 • 9 • 9 is another way to express your question.

Answer:

6561

Step-by-step explanation:

Simplifying 9⁴ gives 6561

You can multiply exponents to get certain values, so it can also be expressed as:

[tex](9^{2})^2[/tex]

Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left,
and half a brownie more, to Tyler. That left her with one remaining brownie.

Can someone please help me with this problem, I really need help.

Answers

Answer:

x = 7

Step-by-step explanation:

all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last,  multiply 3 1/2 by 2 and you will geet 7 as your final answer.

The answer would be 7!

 

You would take 1 and add 1/2 to it

= 1 1/2

Then, multiply by 2

= 3

Then add 1/2 to that

= 3 1/2

Then multiply 2 one more time

= 7

This is because Mai gave half of her brownie and then half more of her brownie to each person she gave it to

So you would add 1 + 1/2 and then multiply by 2

Since she did this to 2 people you would repeat one more time!

Hope this helped!

 

This cylinder has a volume of 12π cubic inches and a diameter of 4 inches. Find the cylinder's radius and height.

Answers

Answer:

The statement 50π=52πh is equivalent to 50=25h. Since 50 is 25 times 2, h=2 units.

The statement 36π=r2π4 is equivalent to 36=r2⋅4. Since 36 is 4 times 9, r2=9. This implies r=3 units.

Step-by-step explanation:

i think tht is right

The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?

Answers

Answer:

(7, -4)

Step-by-step explanation:

The formula for calculating midpoint is expressed as;

M(X, Y) = (x2+x1)/2, (y1+y2)/2

X = x1+x2/2

Y = y1+y2/2

Given

X = 5, Y = 1, x1 = 3, y1 = 6

Get x2

X = x1+x2/2

5 = 3+x2/2

10 = 3+x2

x2 = 10-3

x2 = 7

Get y2;

Y = y1+y2/2

1 = 6+y2/2

2 = 6+y2

y2 = 2-6

y2 = -4

Hence the coordinate of B is at (7, -4)

Answer the question below in the picture

Answers

Answer:

part b (2,-1)

Part c the lines intersect at (-20,-45)

Step-by-step explanation:

(SAT prep) Find the value of x

Answers

Answer:

x=120 degrees

Step-by-step explanation:

angle below angle x=y

y=40 because it is corresponding congruent angle

x+y+20=180

x+40+20=180

x=120

Answer:

120

Step-by-step explanation:

two lines are parallel

20+40+x=180

x=180-60

x=120

Mary needs to buy 4 concert tickets and one parking pass. If parking is $12, and she can spend at most $80, what ticket prices can she afford? (set up an inequality, do not solve)

Answers

Answer:

4t + 12 [tex]\leq[/tex] 80

Step-by-step explanation:

Set up an inequality where t is the cost of one ticket

Since her budget is $80, a less than or equal sign needs to be used.

4t will represent the total cost of the tickets, since she needs to buy 4. Add 12 to this to represent the parking cost:

4t + 12 [tex]\leq[/tex] 80 is the inequality.

The distance from Jason's house to school is 0.2 kilometer. What is this distance in meters?

Answers

Answer:

200 Meters!

Step-by-step explanation:

Answer:

200 m

Step-by-step explanation:

Distance from Jason's house to school = 0.2 kilometers

Converting into metres

0.2 km = 0.2 * 1000 m = 200 m

Hope it will help :)

What is the volume of this figure?

Answers

Answer:

875 ft^3

Step-by-step explanation:

Pick them apart starting at the bottom. The formul used is V=lwh

Starting at the bottom we have we have a sqare of 5 ft = 5ft^3= V = 125 ft^3

Then we have a rectangular prism: 5 x 5 x 20 = V = 500 ft^3

Third we have 5 x 5 x 10 = V = 250 ft3

125+500+250 = 875 ft^3

One winter day, the temperature was -15 degrees Fahrenheit. Later that day the temperature rose 12 degrees Fahrenheit to reach the high temperature for the day. If t represents the high temperature what is t.

Answers

-3

-15 plus 12 is -3

so T= -3

7. Where do the altitudes of ATUV meet?
70.6)
3
O
M-B-2)
U2)
A (0, 2)
B (0, 1.5)
C (0,1)
D (1.5, 1)

Answers

I think the answer is letter B or C I’m not sure

Find the area n show work

Answers

Lengh X width, 4 inch times 4 inch = 15. The area is 15

complete the statement of each of these rules:

a (+)×(?)=(+)
b (-)×(+)=?
c (?)×(-)=?​

Answers

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

Examine the following tables of ordered pairs and identify which relations are functions.Select two that apply

Answers

Answer:

Step-by-step explanation: B

The tables of ordered pairs representing relations that are functions are: A and C.

What is a Function?

If a table of ordered pairs of a relation has each x-value relating to exactly one y-value, then the relation is a function.

Table B and D do not apply to this rule. Table A and C have each of its x-values paired with exactly one y-value.

Therefore, table A and C represent functions.

Learn more about functions on:

https://brainly.com/question/10439235

#SPJ2

what is the answes please I need it!​

Answers

the answer is -4 so the first one

Can somebody help me please

Answers

the correct answer is 67 to the third power
The correct answer is 67 to the three one hopes this help

Decrease 10kg by 20%​

Answers

Answer:

8Kg

Step-by-step explanation:

20% of 10 = 2

10 - 2 = 8

That's your answer!

URGENT!!! A factory process requires 3 steps to finish a product. The steps each have a mean completion time of A= 10 seconds and a standard deviation of o = 5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time for the 3 steps.

Find the standard deviation of T.

Choose 1 answer:

OT = 15 seconds

Or = 75 seconds

or 15 seconds

or = v75 seconds

Answers

Answer:

d

Step-by-step explanation:

The standard deviation of T is equivalent to 5.

What is standard deviation?In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.Mathematically, we can write -

       [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]

Given is that a factory process requires 3 steps to finish a product. The steps each have a mean completion time of A = 10 seconds and a standard deviation of O = 5 seconds. The time it takes to complete each step is independent from the other steps.

We can write that -

5 = √∑(x{i} - 10)²/√3

√∑(x{i} - 10)² = 5√3

(√∑(x{i} - 10)²)² = (5√3)²

∑(x{i} - 10)² = 25 x 3

∑(x{i} - 10)² = 75

Now, we can write that -

σ = √(75/3)

σ = √25

σ = 5

Therefore, the standard deviation of T is equivalent to 5.

To solve more questions on standard devaition, visit the link below -

https://brainly.com/question/23907081

#SPJ5

1. if 5 oranges cost 60 cents, how much does 1 orange cost?

2. if 2 pounds of meat cost $2.80, how much does 1 pound cost?

3. if a car goes 80 miles in 2 hours, how far does it go in 1 hour?

Answers

1. 12 cents each
2. $1.40
3. 40 mph

pls answer i need help with 2 questions

Answers

Answer:

(2, 8) and (-2, 7)

Step-by-step explanation:

You can plug in the respective x and y values and see what works.

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