Steps for solving 5(2x - 8) = 20 are shown.
5(2x - 8) - 20
10X-40 - 20
10x - 40+ 40 - 20 + 40
10x = 60
10x 60
10 10
X-6
Original Equation
Step 1
Step 2
Step 3
Step 4
Step 5
Which of these is not part of the solution process?
A. Using the distributive property
B. Combining like terms
ОООО
O C. Dividing both sides by 10 to isolate the variable
D. Using the commutative property

Steps For Solving 5(2x - 8) = 20 Are Shown.5(2x - 8) - 2010X-40 - 2010x - 40+ 40 - 20 + 4010x = 6010x

Answers

Answer 1
answer: D. Using the commutative property

explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.
Answer 2

While solving the equation 5(2x - 8) = 20, we used the distributive, combining like terms and Division property but commutative property is not part of the solution process, option D is correct.

The given equation is 5(2x - 8) = 20.

Using the distributive property, we get:

10x-40=20

Add  40 from both sides:

10x-40+40=20+40

Combining like terms:

10x=60

Divide both sides by 10 to isolate the variable:

10x/10=60/10

x=5

Hence, for solving the equation we have not used the commutative property. option D is correct.

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Related Questions


Need help asap please

Answers

Answer:

A

Step-by-step explanation:

[tex] {16}^{2} = {14}^{2} + {x}^{2} [/tex]

[tex]256 - 196 = {x}^{2} [/tex]

[tex]x = \sqrt{60} = 2 \sqrt{15} [/tex]

PLZ PLZ HELP ASAP! I WILL MARK YOU BRAINLIEST!

Answers

Answer:

I can't see it redo it so I can answer

Answer:c,d,a,d

Step-by-step explanation:

PLEASE HELP PLEASE HELP!!!!

Write a problem that would result in the expression: -12 + 6(3/4). Solve your problem and show your work.

Answers

Answer:

-18 and 3/4

Step-by-step explanation:

1/4 divided by 11.5
Help!

Answers

2.875 please mark me the brainlist

Answer:

1/46 as a fraction and 0.02 recurring as a decimal

Step-by-step explanation:

calculator

100 points pls right answers only it’s for apex
An outlier point is added to a set of bivariate data. In what way must your analysis change with the addition of the outlier?
A. The sign of the regression coefficient will change from positive to
negative, or vice versa.
B. The value of the correlation coefficient will move closer to 0.
C. The regression constant will change dramatically.
D. All of the above.

Answers

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Bivariate data:Bivariate data in statistics refers to data on two variables, each of which has a value coupled with a value of the other variable. Normally, it would be interesting to look into any potential relationships between the two variables. The association can be investigated using sample statistics that can be utilized for inference, a tabular or graphical display, or both. The approach taken to look into the association would depend on how the variable was measured. Bivariate correlation or bivariate association are terms used to describe the links, which only involve two variables.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

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x+4y=12
Solving the equation for y

Answers

x+4y=12
4y=12x
xy=3 answer

The first step of a staircase that leads to an outdoor deck is above a concrete slab. The height, h, in centimeters of the n step of
the staircase above the ground can be represented by the function h (n) = 25n+ 3. Which of the following is a correct
interpretation of the function? (1 point)
A. The concrete slab is 25 cm tall
B. The height of each step is 3 cm.
C. The first step is 25 cm tall, and the subsequent steps are 3 cm tall
D. The concrete slab is 3 cm tall.

Answers

Answer: D

Step-by-step explanation:

Answer:

The correct answer is B. The concrete slab is 3 cm tall.  

PLEASE HELP! I’ll mark you as brainliest or whatever it’s called❤️

Answers

Answer:

45% of 280 is 126

126

Hope This Helps!

35% of 280 is 98. 100% of 280 is 280, therefore 35 percent of 280 equals 98

80% of 280 = 224

45% of 280 = 126

During his leg of the run, Shannon developed hypothermia, a dangerous condition caused by extreme cold. Normal body temperature is 98.5ºF. During hypothermia, it falls by at least 3.5º. If his temperature dropped by that amount, what was Shannon’s body temperature with hypothermia?

Answers

Normal body temperature
= 98.5 °F
Temperature falls by 3.5 °F during hypothermia
Hence there is a decrease in the normal temperature

Therefore the temperature during hypothermia
= 98.5 -3.5
= 95 °F

Here is a list of ingredients: 260g of butter, 500g of sugar, 650g of flour, 425g of rice to make 20 biscuits. Michael has 2kg of each ingredient. Work out the greatest number of biscuits that he can make.​

Answers

Answer: 61 Biscuits

Step-by-step explanation: 13g of butter per biscuit, 25g sugar per biscuit, 32.5g flour per biscuit, 21.25g rice per biscuit

By taking the amount of flour per biscuit (the largest ingredient) and dividing 2000 by it you get 61 which is the most amount of biscuits he can make with his ingredients.

Please help!!!!!! Thank you so much!!!!!

Answers

Answer:

104 degrees

Step-by-step explanation:

RS is a line, so it is 180 degrees.  PO is also a line and point O is touching line RS.  The acute measure is 76 degrees, as shown.  To find the other angle measure for SOP, subtract 76 from 180.  That gives 104 degrees, which is the measure of SOP.

6. Triangle A is an isosceles triangle with two angles of measure x degrees and one
angle of measure y degrees

a. Find three combinations of x and y that make this sentence true

Answers

Answer:

Step-by-step explanation:

PLZ HELP FAST The amount of water in a tank is taken out of the tank by the equation g = -20h +100, when g represents the number of gallons of water left in the tank and h represents the number of hours that have passed by. How many gallons of water are left in the tank after 3.5 hours? Type your answer in the box provided.

Answers

Answer:120

Step-by-step explanation:

if you add 20 and 100 it gives you 120

Simplify
7x+[x-(5+x)]

a) 7x-5
b)8x-5
c)9x-5​

Answers

Answer:

It would be a which is 7x-5

Simplify the expression:

3(2 + 3v)

HELPPP

Answers

Answer:

[tex]\boxed{\sf{6+9v}}[/tex]

Step-by-step explanation:

We only need to use a distributive property to solve this.

Distributive property:

⇒ A(B+C)=AB+AC

3(2+3v)

Multiply.

[tex]\sf{3(2+3v)}[/tex]

[tex]\sf{3*2=6}[/tex]

[tex]\sf{3*3=9}[/tex]

Rewrite the problem.

6+9v

Therefore, the correct answer is 6+9v.

I hope this helps you! Let me know if my answer is wrong or not.

What is the x and y ??????????

Answers

Answer:

The points on an axis

Step-by-step explanation:

There are two points on an axis and they are x and y. x goes across and y goes up and down

Natasha and Richard are making exam papers.Each set takes Natasha 45 minutes and Richard 1 hour.Express the times Natasha and Richard take as a ratio. Give your answer in its simplest form.

Answers

1 hour = 60 minutes

richard:natasha = 60:45 = 12:9 = 4:3

Answer:

3:4

Step-by-step explanation:

1=60 minutes

Natasha: Richard-----> 45:60

Simplify: 45/15= 3 60/15= 4

Ratio: 3:4

Which is true of the models? Check all that apply. Both exact values are less than the approximate value. The percent errors are the same. The top model has a greater percent error. The bottom model has a greater percent error. The absolute error is the same for both.

Answers

Answer:

A C E

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

Answer:

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

What is -1.4d = 0.7? Solve for d.

Answers

Answer:

d= -0.5

Step-by-step explanation:

hope it help :)

Which value for x makes the equation x -4.21 = 6.047 true? A. x = 10.68 C. X = 10.247 B. x = 10.257 D. x = 1.837​

Answers

Answer:

C. X = 10.247

Step-by-step explanation:

X -4.21 = 6.047

just you will add 4.21 to both sides of the equation

X -4.21 + 4.21 = 6.047 + 4.21

X = 10.247

Answer: the answer is B.

Besides 49 and 1, what is one factor of 49??????????????????????

Answers

Answer:

See below.

Step-by-step explanation:

The factors of 49 are 1, 7, and 49.

1 x 49 = 49

7 x 7 = 49

-hope it helps

At a particular school 20% of children travel by bus.
If this represents 280 children, how many children attend the school?

Answers

Answer:

1,400 children attend the school

Step-by-step explanation:

If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:

-> Please note that a percentage divided by 100 becomes a decimial

[tex]\frac{20}{280}=\frac{100}{x}[/tex]

Cross multiply:

.2 * x = 280 * 1

.2x = 280

Divide both sides of the equation by .2:

1,400 children attend the school

We can check our work by multiplying 1,400 by 0.2:

1,400 * 0.2 = 280 ✓

Solve for x in the equation x ^ 2 + 2x + 1 = 17

O x = - 1 plus/minus sqrt(13)

O x = - 2 plus/minus 2 * sqrt(5)

O x = - 1 plus/minus sqrt(17)

O x = - 1 plus/minus sqrt(15)

Answers

Answer:

[tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

Step-by-step explanation:

[tex]x ^ 2 + 2x + 1 = 17[/tex]

[tex]\mathrm{Subtract\:}17\mathrm{\:from\:both\:sides}[/tex]

[tex]x^2+2x+1-17=17-17[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x^2+2x-16=0[/tex]

[tex]\mathrm{Solve\;with\;Quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}[/tex]

[tex]\sqrt{2^2-4 \cdot1\cdot(-16)} =\sqrt[2]{17}[/tex]

[tex]x_{1,\:2}=\frac{-2\pm \:2\sqrt{17}}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-2+2\sqrt{17}}{2\cdot \:1},\:x_2=\frac{-2-2\sqrt{17}}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

Hence, Answer is [C] [tex]x=-1+\sqrt{17},\:x=-1-\sqrt{17}[/tex]

~Lenvy~

Answer:C

Step-by-step explanation:

What is The difference of 3 and a number X

Answers

Answer:

"the difference of" means to subtract

Therefore, "the difference of 3 and a number" would be:

3-x

Step-by-step explanation:

The required number is 63 and its 20% will be 12.6.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

The difference between 3 and the number x of that number is -60.

According to the question, the algebraic form will be as:

⇒ 3 - x = -60

⇒ x = 60 + 3

Apply the addition operation,

⇒ x = 63

So the required number is 63

20% of the number = (20/100) × 63

20% of the number = (0.20) × 63

20% of the number is 12.6.

Therefore, the required number is 63 and its 20% will be 12.6.

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The question seems to be incomplete the correct question would be:

The difference between 3 and the number x of that number is -60. What is 20% of that number?

m=1/2 and the y intercept is (0,-5) what is the equation of the line in slope intercept form

Answers

-5=1/2(0)+b

I hope this helps

what is (3-8y)x(-2.5)

Answers

Answer:

20xy−7.5x

Step-by-step explanation:

I need help wit the answer

Answers

Answer:

Triangle STU is not similar to Triangle VWU

Step-by-step explanation:

For two triangles to be similar, they both should have the same angle measures. To find out if they have the same angle measures, we have to solve for the unknown angles. Remember, a triangle is worth 180°.

Triangle STU:

x + 90 + 42 = 180x + 132 = 180x = 48

Triangle VWU:

x + 58 + 90 = 180x + 148 = 180x = 32

As you can see, the angles don't have the same angle measures. Thus, they are not similar.

Answer is B I believe !

m(x) =5
Find m(2)
I have no idea how to do this help me

Answers

Answer:

10

Step-by-step explanation:

All this is saying is when there is one x value it is equal to 5

so, applying that logic, 2 fives is equal to 2*5=10

so when x=2, it is equal to 10

Hope this helps you out!!!

if x = 5 then m(2)= 10

There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.167
0.028
0.033
0.972

Answers

The probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert is; B: 0.028

What is the probability of selection?

We are told that;

There are 6 dessert options menu.

Now, Akira and Paula like all of the choices equally. Thus, probability of selecting any of the 6 menus will be; P(select 1 menu) = 1/6

Thus, probability that they select the preferred menu written in the question is; P(both select 1 menu) = 1/6 * 1/6 = 0.028

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which expression represents half of a number,n,plus 3?

Answers

the first one 1/2n +3
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