Simplify: (ab + bc) (ab - bc)​

Answer:

0

Step-by-step explanation:

              -5                             5

           <-+-+-+-+-+-+l-+-+-+-+-+->

               l               0                l

<-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+->

-8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8

graph l. (l points down).   Thanks!

Answer:

the sum of a number and it's opposite= x - (x)

Step-by-step explanation:

The opposite number of 2 would be -2. The opposite number of 4 would be -4 and vice versa.

Because the oppposite number is just a number that is the opposite operation of something, finding the sum of a number and it's opposite will always make the sum 0.

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

Answer:

8200/1000 = 8.2 so each time a class sells 8.2 bars, they receive 1 dollar.

If a class sold 16 bars, the class receives 2 dollars, if it sold 82 bars, it receives 10 dollars and so on.

Answer:

There should be 20 students that have both Beats and AirPods.

Step-by-step explanation:

There are 50 students in total.

20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.

30 - 10 = 20.

It's a tricky question, but this is the correct answer!

Hope This Helps!

Answer:

Step-by-step explanation:

pick any 2 sides

3x+6=6x-3

+3

3x+9=6x

-3x

9=3x

/3

x=3

3*9x=27

27-12=15

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

>> The total number of teachers in school would be

>> Thus, the fraction of male teachers in school would be;

#CarryOnLearning

- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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Answer:

It will have 3 roots

The number of roots in an equation equals the highest power of that equation.

Step-by-step explanation:

Answer:

If I'm not wrong I think the answer should be (-28)

Answer:

1x-72

Step-by-step explanation:

-36x2= -72

6x-72/6x

6x/6x=1x

1x-72

Answer:

Step-by-step explanation:

2 1/2

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

Answer:

7,200 words

Step-by-step explanation:

Answer: 4,800

I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

Answer:

Isnt it -3?

Step-by-step explanation:

Answer:

8690

Step-by-step explanation:

there is no distributive property just multiply using a regular calculator

Answer:

Part A :

Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.

Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.

Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri

Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.

Explanation :

I have calculated out Robins and Dimitris subscribers counts with math.

Part A: The attached image is for Robin but I didn't have time for Dimitri.

Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.

Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.

Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.

Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.

Find the sum of 12.351 and 0.5362

12.351 + 0.5362 = 12.8872

Answer:

answer A is the correct option.

Step-by-step explanation:

The triangles ( A ) are congruent by AAS theorem

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔABD

Now , AB is the common side of both the triangles

And , measure of ∠ACB = measure of ∠ADB

And , the measure of ∠ABC = measure of ∠ABD = 90°

So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent

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Answer:

6.4 is the correct answer

Answer:

the graph is in link

Step-by-step explanation:

y ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5-1/2*10 + 2 1/2

 5 -5 + 2 1/2

 5 -2 1/2 TRUE

2. 51/5*10 + 6

  5< 2 + 6

5< 8  TRUE

Answer:

B. [tex]-5i[/tex]

D. [tex]5i[/tex]

Step-by-step explanation:

Remember that the imaginary unit is equal to:

[tex]i^2 = -1[/tex]

And getting the square root in both sides of the equation we get:

[tex]i = \sqrt{-1} \quad \land \quad -i = \sqrt{-1}[/tex]

The with our expression we develop of the next way:

[tex]x^2 = -25\\x = \sqrt{-25}[/tex]

However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.

[tex]x = 5i \quad \land \quad x = -5i[/tex]

In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:

B and D

Answer:

hi

Step-by-step explanation:

the answer would be 1.2778

Answer:

b

Step-by-step explanation:

Answer:

26.16

Step-by-step explanation:

Answer:

26.16

Step-by-step explanation:

20 percent of 130.8

= (20/100)*130.8

= (20*130.8)/100

= 2616/100 = 26.16

Answer:

Which one is underlined?

Step-by-step explanation:

the frist 5 is in the 100 millionth place

the frist 0 is in the 10 millionth place

the frist 4 is in the 1 millionth place

the second 4 is in the 100 thousand place

the second 0 is in the 10 thousand place

the second 5 is in the 1 thousand place

the 6 is in the 100s place

the 2 is in the 10s place

and the 3 is in the 1s place

[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]

The simplified form of the expression is m - 3/5

Given the expression 1 2/5 m - 3/5 (2/5m + 1)

We need to simplify the term. Expand the bracket to have:

1 2/5 m - 3/5 (2/3m + 1)

1 2/5 m -2/5 m - 3/5

7/5 m - 2/5 m - 3/5

(7m-2m)/5 - 3/5

5m/5 - 3/5

m - 3/5

Hence the simplified form of the expression is m - 3/5

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Answer:

14.2 ounce for $3.98 is more cheaper

Step-by-step explanation:

unit price formula; cost ÷ quantity

3.98 / 14.2 = 0.2802816901408

9.98 / 33.9 = 0.2943952802359

round answers to the nearest hundredth;

$0.28

$0.29

compare the answers

Answer:

The answer is b

Step-by-step explanation:

The statements that are true about this study are:

Random sampling occurs when each sample has an equal probability of being chosen in a study.

This is seen in the random selection of 100 children. The Control group was used with the first group that had no screen time.

The repeated measures design was also used when multiple measurements were taken during different weeks.

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