which pair of of expressions are equivalent? A. 10(x+4) and 10x+14 B. 3(x+5) and 3x + 5 C. x+x+x+1+1+1 and 3(x+1) D. x+x+x+x+1+1+1+1 and 8x

Answers

Answer 1

Answer:

C. x+x+x+1+1+1 and 3(x+1)

Step-by-step explanation:

Algebraic Expressions

Some algebraic expressions are equivalent to others if the correct operations are done on them.

A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:

10(x+4) = 10x + 40.

This choice is not correct

B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:

3(x+5) = 3x + 15.

This choice is not correct

C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:

x+x+x+1+1+1=3x+3=3(x+1)

This choice is correct

D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus

D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)

This choice is not correct


Related Questions

A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents the kid who is 45 pounds? A) (45, 39) B) (38, 45) C) (39, 45) D) (45, 70)​

Answers

Answer:

45 70

Step-by-step explanation:

Answer:

(45, 70)

Step-by-step explanation:

-2⁄3 a − 6 = 12
What does (A) equal?

Answers

Answer:

a = -27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-2/3a - 6 = 12

Step 2: Solve for a

Add 6 to both sides:                      -2/3a = 18Divide -2/3 on both sides:             a = -27

Answer: a = -27

Step-by-step explanation:

-2/3a - 6 = 12

ADD 6 TO BOTH SIDES

-2/3a = 18

MULTIPLY BY 3 TO BOTH SIDES

-2a = 54

now you want to get the a by itself so DIVIDE BY -2

so... a=-27


In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,​

Answers

Step-by-step explanation:

sorry..by any chance if my answer is incorrect

I need help converting 3/5 into a decimal​

Answers

Answer:

3.5

Step-by-step explanation:

3/5 in a decimal is 3.5

If m< XYZ= 136, solve for x

Answers

Answer:

x = 3

Step-by-step explanation:

We'd apply some properties of rhombus.

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

Solve for x

10x - 8 + 90 + 68 = 180

10x + 150 = 180

10x = 180 - 150 (subtraction property of equality)

10x = 30

Divide both sides by 10

x = 3

The value of x is 3

The calculation is as follows:

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

Now

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

10x + 150 = 180

10x = 30

x = 3

Learn more: https://brainly.com/question/18269454?referrer=searchResults

The questions above.

Answers

Answer:

k(3) = 37

Step-by-step explanation:

k(t) = 13t - 2

To find k(3), substitute 3 for t in the expression and evaluate the expression.

k(3) = 13(3) - 2

k(3) = 39 - 2

k(3) = 37

k(t) if t = 3
13(3) - 2
39-2
37

PLEASE HELP

Where is this function decreasing?

The function is decreasing from x = □ to x = □​

Answers

Answer:

The function is decreasing from x=1 to x=8

Step-by-step explanation:


9
8
a
+
4
8
a

5
8
8
9

a+
8
4

a−
8
5


A
138a−58
8
13

a−
8
5


B
58a−58
8
5

a−
8
5


C
811a+14
11
8

a+
4
1


D
78a+85
8
7

a+
5
8

Answers

so what’s the questions

Simplify
2x + x + x + 2y x 3y x y​

Answers

5x+6y? I think that’s right

Step-by-step explanation:

[tex] \tt{2x + x + x + 2y \times 3y \times y}[/tex]

[tex] \text{Add \: the \: like \: terms : 2x \: + \: x \: + \: x}[/tex]

Like terms are those which have the same base. Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

⤑ [tex] \tt{4x + 2y \times 3y \times y}[/tex]

[tex] \text{Multiply : 2y, \:3y \: and \: y}[/tex]

⤑ [tex] \tt{4x + 6 {y}^{3}} [/tex]

Since , 4x and 6y³ are not like terms , they cannot be added. And we're done !

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : 4x + 6 {y}^{3}}}}} [/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁


A recipe that yields 2 loaves of bread
requires 2.5 cups of flour. Edgar has a bag
that contains 18.75 cups of flour. If he uses
all the flour how many loaves can he make?

Answers

Answer:He can make 7.5 loaves i think

Step-by-step explanation:

help pls! what’s the coordinates?

Answers

Answer:

It's (4,5)

Step-by-step explanation:

Hope it helps. Bye

How many eighths are there in 2?

Answers

Answer:

16

Step-by-step explanation:

eighths are 1/8 therefore there are 8 eighths in one,

1 x 2 is 2

8 x 2 is 16

therefore there are 16 eighths in 2

Answer:

Step-by-step explanation:

1 pizza has 8 slices

2 pizzas has 16 slices

i think it is easier to remember like this

What are the potential solutions of In(x^2 - 25) = 0?

Answers

Answer:

-3 on edg

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Solution \ of \ the \ given \ equation \ is\ \sqrt{26}\ or \ -\sqrt{26}}}}[/tex]

Step-by-step explanation:

We need to find the solution of the given logarithmic equation. So the given equation is ,

[tex]\bf \implies ln ( x^2-25) = 0 [/tex]

Using the Properties of log we can write this as ,

[tex]\bf \implies e^{ln(x^2-25)} = e^0 \:\:\bigg\lgroup \red{\bf Here \ e \ is \ Euler's \ Number }\bigg\rgroup \\\\\bf\implies x^2-25 = e^0 \\\\\bf\implies x^2-25 = 1 \\\\\bf\implies x^2=25+1\\\\\bf\implies x^2=26 \\\\\bf\implies x = \sqrt{26} \\\\\bf\implies\boxed{\red{\bf x = \sqrt{26},-\sqrt{26}}}[/tex]

Hence the Solution of the given equation is 26 or -26.

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

Answers

Answer:

357 minutes

Step-by-step explanation:

I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges.  I then divided the monthly cost of $49.95 by .14 to get 356.79...  So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357).  At 356 minutes the first plan would still be cheaper.

fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.​

Answers

Answer:

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Step-by-step explanation:

Given data is:

5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71

The lower quartile is the first quartile and upper quartile is the third quartile.

A median divides the data set in two equal halves.

Lower quartile also known as first quartile is the middle value in the first half.

The first half is:

5, 12, 17, 23, 28, 31, 37, 41

As the number of values is even, the quartile will be the average of two middle values

[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]

Upper quartile is the average of middle two values in the second half when the number of values is even.

42, 49, 54, 58, 65, 68, 73, 71

[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]

Interquartile range is the difference of third quartile and first quartile

[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]

Hence,

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

(1.2: Solving linear equations) Consider the linear system2x1+ 3x2−5x3=b17x1+ 2x2+ 8x3=b2−x1+x2−5x3=b3(a) Find the echelon form of the augmented matrix of the above system.(b) Find the conditions onb1,b2,b3for which this system has a solution.(c) Do you see the shape of the points (b1,b2,b3) for which the above system has asolution?(d) If you randomly pick

Answers

Answer:

Echelon form of augmented matrix      [tex]\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right][/tex]

Step-by-step explanation:

We have, linear systems

[tex]2x_1+3x_2-5x_3=b_1[/tex]

[tex]17x_1+2x_2+8x_3=b_2[/tex]

[tex]-x_1+x_2-5x_3=b_3[/tex]

[tex](a)[/tex]  Find the echelon form of the augmented matrix.

Firstly we find the augmented matrix (A) of the given linear system

[tex]A=\left[\begin{matrix} 2&3&-5&b_1\\17&2&8&b_2\\-1&1&-5&b_3\end{matrix}\right][/tex]

Now find the echelon form

[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&\frac{5}{2} &\frac{-15}{2} &b_3+\frac{b_1}{2} \end{matrix}\right]^{R_2\rightarrow \frac{17}{2}R_1, R_3\rightarrow R_3+\frac{1}{2}R_1 }[/tex]

[tex]=\left[\begin{matrix} 2&3&-5&b_1\\0&\frac{47}{2} &\frac{101}{2} &b_2-\frac{17}{2}b_1 \\0&0&\frac{-10}{3} &b_3-2\frac{b_1}{6} \end{matrix}\right]^{R_2\rightarrow R_3-\frac{5}{6}R_1 }[/tex]

[tex](b)[/tex]  From above echelon form of augmented matrix system is consistent .

So, system has always a solution exist for every condition of [tex]b_1,b_2, b_3[/tex]

[tex](c)[/tex]  Yes, If we take point  [tex](0,1,1)[/tex] then system of linear equation has exist a solution.

[tex](d)[/tex]   yes, if pick randomly [tex]b_1,b_2, b_3[/tex] then always exist a solution of given system of linear equation.

Evaluate 0 with a 4 on top

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

0 to any positive power is 0.

  0^4 = 0×0×0×0 = 0

=

systèmes d'équations suivants. Trouve ensuite sa solution
b) { y = -x + 1
y = -2x - 2

Answers

Answer:

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)

Step-by-step explanation:

We need to solve the system of equation and find value of x and y

The system of equation given is:

[tex]y = -x + 1\\y = -2x - 2[/tex]

Let:

[tex]y = -x + 1--eq(1)\\y = -2x - 2--eq(2)[/tex]

We would use substitution method.

Put value of y from eq(1) into eq(2) and find value of x

[tex]Eq(2)\;is:\\y=-2x-2\\Put\:y=-x+1\\-x+1=-2x-2\\-x+2x=-2-1\\x=-3[/tex]

So, we get x = -3

Now, for finding value of y, put value of x = -3 into equation 1

[tex]y=-x+1\\Put\:x=-3\\y=-(-3)+1\\y=3+1\\y=4[/tex]

So, we get y=4

Solving the equations we get: x = -3, y = 4

The solution set is: (-3,4)

You borrow 15,000 for three years at 10% how much will you owe in interest only

Answers

Answer:

4500

Step-by-step explanation:

15000/10 is 1500, 1500 x 3 = 4500

What is the missing number in the series?

1, 16, 81, __, 625, 1296


Answers

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

Certain machine caps 100 bottles every 40 seconds. At this rate, how many will be capped in a minute?

Answers

Answer:

150 will be capped in a minute

Jennifer has watched 42 minutes of a movie, which is 20% of the movie. What is the total length in minutes of the movie?

Answers

Answer:

210

Step-by-step explanation:

20% is equal to 1/5

5*42 = 210

The movie is 210 minutes.

Answer: 210

5 x 42 =                        210

WHAT’S 6 divided by 1 over 3?

Answers

Answer:

18

Step-by-step explanation:

6 divided by 1/3 is the same as 6x3 because you flip the second fraction when dividing fractions.

PLZ PLZ PLZ HELP! What is the 50th term in the arithmetic sequence -6,-1,4...?

Answers

The 50th term is 239

Help please! What are the matches?

Answers

Answer:

2y-6=x goes with 3rd one which is y=2x+6,

Answer:

1 >>4

2>>1

3>>3

4>>2

Step-by-step explanation:

1 - 2y-6 =x then y=(1/2)x +3

2 - 3y = -6 -x then y = (1/3)x + 2

3 = (1/2)y = 3 +x then y = 2x + 6

4 - 2x + y = 3 then y = -2x + 3

I need help on the attached problem ASAP!

Answers

Answer:

[tex]\displaystyle \sin A=\frac{1}{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.  The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

We are given a triangle with side lengths of 3, [tex]\sqrt{72}[/tex], and 9, where 9 is the hypotenuse. Before applying the trigonometric ratios, we must check if the triangle is right, and the Pythagora's theorem is satisfied:

[tex]9^2=3^2+(\sqrt{72})^2[/tex]

81=9+72=81

Now we're sure it's a right triangle, we apply the sine formula:

[tex]\displaystyle \sin A=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

The opposite leg to A is 3, and the hypotenuse is 9, then:

[tex]\displaystyle \sin A=\frac{3}{9}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin A=\frac{1}{3}}[/tex]


If job growth in your state is projected to be 2 percent and you have 11,000,000 workers, how many new jobs will be created?

Answers

Answer:

5500000

Step-by-step explanation:

I just divided-

If x=3 what is the value of 3ײ​​

Answers

Answer:

27

Step-by-step explanation:

Using Bedmas we have to calculate the x^2 first

Since we know x=3, x^2 = 3^2 = 9

So then, the value would be 3 x 9 = 27

Hope You Found This Helpful :)

Please help fast!!!
Select the point on the graph.
Which point represents the x-intercept of this exponential function?

Answers

Answer:

(3,0)

Step-by-step explanation:

the x-intercept is the point when the line touches the x-axis. (3,0) is this point, we can see it in the graph.

Answer:

(3,0)  

Step-by-step explanation:

It crosses the x-axis

how do I I find people that need help and so then I can answer them

Answers

Answer:

you make a account then go down and look for somthing you want ro answer

Step-by-step explanation:

hope this helps

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