Which sentence explains the correct first step in the solution of this equation?

4(x−3)=9

Add 2 to both sides.


Apply the distributive property to get 4x−12=9.


Apply the distributive property to get 4x−3=9.


Subtract 9 from both sides.

Answers

Answer 1

Answer:

B. Apply the distributive property to get 4x-12=9

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

4(x-3)=9

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

Therefore, the final answer is x=21/4=5.25.

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

Answer 2

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.


Related Questions

The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number

Answers

Answer:

  3, 52

Step-by-step explanation:

The given relation can be expressed by the equation ...

  x +(17x +1) = 55 . . . . . . where x represents the smaller number

__

Solution

  18x = 54 . . . . . . . . . collect terms, subtract 1

  x = 3 . . . . . . . . . divide by 18

The smaller number is 3. The larger number is 55-3 = 52.

help me please!

I'm a little confused ​

Answers

Answer:

Is A

Step-b-step explanation:

40.5

Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?

Answers

Answer:

240

Step-by-step explanation:

5x4x12=240

if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)

now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

multiplying five by four and 12 gives you total possible choices.
5x4x12=240. You have 240 different possible choices

look at point C and D on the graph..
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
2.24 units
3.16 units
6.40 units
7.07 units

Answers

Answer: 7.07

Step-by-step explanation:

what is the answer 58×100 =

a. 1220
b.1555
c5678
d5800

Answers

Answer:

Answer D is correct

Step-by-step explanation:

Let us solve this now.

58

× 100

                   

      000

      00

+   58

                     

= 5800

------------------------------------------------------------------------------------------

Let us solve this sum in a different way.

If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.

58 × 100 = 5800

A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?

Answers

Answer:

1.9998 inches = radius

Step-by-step explanation:

V=(4/3)πr³

33.5 = (4/3)πx³

33.5 * 3/4 = (4/3)πx³(3/4)

25.125 / π = (πx³) / π

[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]

1.9998 = x

. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.

Answers

3 7/8 because looking at the ruler, the line is 7 of the 8. hope that’s helps!

can anyone answer this???

Answers

Answer:

9 3/10

Step-by-step explanation:

5 4/5 = 5 8/10

3 1/2 = 3 5/10

3 5/10 + 5 8/10 = 9 3/10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]

What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.

Answers

The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.

How to construct an angle

In a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;

Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.

Read more on angle construction;

https://brainly.com/question/8607612

Answer: For the last step you have to connect the endpoint and the mark

Step-by-step explanation:

HELP ASAP * 70 POINTS*

Answers

A = 7 ft                               ( heighest length )B = 5 ft                                ( base length )C = 3 ft                                ( short length )D = 4 ft                                ( long length )

area of triangular prism:

( perimeter x length ) + base x height

[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]

[tex]\dashrightarrow \sf 96 \ ft^2[/tex]

Answer:

Step-by-step explanation:

A =  7 ft

B = 5 ft

C = 3 ft  (base of the triangle)

D =  4 ft  (height of the triangle)

Surface area of prism = base *height + ( B + C + D)*A

                                    = 4*3 + (5 + 3 + 4) * 7

                                    = 12 + 12 *7

                                    = 12 + 84

                                     = 96 square ft.

what is the measure of an angle that turns through 1/5 of a circe

Answers

5 is the answer excuse it converts back to 5

What is an equation of the line with slope -4/5 and y-intercept 2?

Answers

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then

y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line

Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.

X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.

State the standard deviation of the distribution of the biology exam scores.

Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.

Students whose scores are at or above the percentile will receive an A.

Students whose scores are in the – percentiles will receive a B.

Students whose scores are in the – percentiles will receive a C.

Students whose scores are in the – percentiles will receive a D.

Students whose scores are below the percentile will receive an F.

Find the z-scores that correspond to the following percentiles.

percentile

percentile

percentile

percentile

Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)

A:     –

B:     –    

C:     –    

D:     –    

F:     

Answers

For inflection Points of

707886

The mean and standard deviation are is mathematically given as

x=78

sigma=8

What is Normal distribution?

Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.

Generally, the equation for the  mean is mathematically given as

x=total sum /amount

Therefore

x=70+78+80/3

x=78

In conclusion, Inflexion point for normal distribution is given as

[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]

Also

[tex]\mu-\sigma=70[/tex]

Therefore

[tex]78+\d\sigma=86[/tex]

sigma=8

Read more about mean

https://brainly.com/question/20118982

“Use distributive property to rewrite each expression.”

3(a + 10)

Answers

Answer:

The answer is

3a+30

Step-by-step explanation:

I hope this helped


Can someone please help me??? Due today! WILL GIVE BRAINLIEST!!! (Please complete both!) (1&2) there is one in the photo and one below



1. Multiply four and eight tenths multiplied by three.

1. thirteen and one tenth
2. thirteen and four tenths
3. fourteen and two tenths
4. fourteen and four tenths

Answers

Answer: 20 over 4     or      4/20

Step-by-step explanation:             I belive this is you answer for number 2.

if a1 = 4 and an = -4a n-1 +5 then find value of a5
please help

Answers

Answer:

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

Find five pairs of integers with a sum of -6

Answers

Answer:

-5, -1

-9, 3

5, -11

-8, 2

-18, 12

Step-by-step explanation:

Answer:

_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his

Which of the following is the equation of the circle shown below?

Answers

Answer: A

Step-by-step explanation:

The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.

Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?

Answers

Answer:

[tex]a_{n} =500(n) + 30,000[/tex]

Step-by-step explanation:

Hey there!

This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by

After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].

Answer:

The answer is [tex]a_{n} =500n+29,500.[/tex]

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.

Step-by-step explanation:

The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.

Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].

The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].

please help me with this question

Answers

Answer:

19

Step-by-step explanation:

you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19

Pls help pls help !!!!!!!

Answers

5/2(a+b) = 5/2a+2b

1/a+b + 5/2a+2b = 2/2a+2b + 5/2a+2b
[*I multiplied by 2 both numerator and denominator so the two fractions have the same denominator*]

= 7/2a+2b

The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)

Answers

Answer: 15x-5

Step-by-step explanation:

A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.

Answers

Answer:

12 meters

Step-by-step explanation:

2x9=18 (get both widths)

42-18=24 (take away widths of 9m)

24/2=12 (divide by 2 to get one length)

What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3

Answers

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

please do number 7. Thank you

Answers

Answer:

search mo po sa goggle

Step-by-step explanation:

I hope it's help

Please help; struggling in Algebra

Answers

Answer:

50

Step-by-step explanation:

The mean splits a data set into 50-50

So the answer is 50

What is the solution of the inequality shown
below?
x-1 < -10

Answers

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

Bring like terms to one side

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

The solution is x < -9 or x is less than negative 9


A 2.25 units
C 5 units
B 4 units
0 16 units

Answers

Answer:

B

Step-by-step explanation:

If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

BW × WD = AW × WC ( substitute values )

6 BW = 3 × 8 = 24 ( divide both sides by 6 )

BW = 4 units

Answer:

Option B

Step-by-step explanation:

Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.

AW * WC =  WD * BW

3 * 8     = 6 * BW

   [tex]\sf \dfrac{3*8}{6} = BW[/tex]

  BW = 4 units

write 755 minutes to the nearest hour​

Answers

ans: about 12.58hrs

if you want a whole number, then say about 12hours

[tex] \huge\mathcal\green{ANSWER} [/tex]

[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]

[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]

In a supermarket, small wedges of cheese each weighing 0.25kg are cut from tins of cheese that weighs 2.5kg. How many wedges can be cut from one tin of cheese? ( Its division)...

Answers

Answer:

10 wedges

Step-by-step explanation:

To find the number of wedges, the total weight should divided by weight of  one wedge.

[tex]\text{Number of Wedges = $2.5 \div 0.25$}\\[/tex]

                              [tex]= \dfrac{2.5*100}{0.25*100}\\\\\\=\dfrac{250}{25}\\\\\\= 10 \ \sf wedges[/tex]

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