Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x.

The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,

[tex]16=1.2n+(-8)[/tex]

Algebraic equation are the expression which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic equation from statement-

Given information-

The given statement is  'sixteen is the same as one and two-tenths times a number added to negative 8'.

The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].

The number is sixteen is the same as one and two-tenths times a number added to negative 8.

This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,

[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]

Thus the equation can be used to represent the given statement is,

[tex]16=1.2n+(-8)[/tex]

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Area:-

[tex]\\ \tt\longrightarrow LB[/tex]

[tex]\\ \tt\longrightarrow 10(6)[/tex]

[tex]\\ \tt\longrightarrow 60in^2[/tex]

Answer:

Length of rectangle= 10 inch

Breadth of rectangle= 6 inch

Area of rectangle= L X B

= 10X6

= 60 sq. inch

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Answer: I think the answer is 5.3x + 1.7

Answer:

A.) Y= 8
B.) X= 9

Step-by-step explanation:

I noticed that the equation is x4 because 4x4= 16 and 5x4= 20.
So, I multiplied 4x2 to get 8 and divided 36/4 to get 9.

Answer:

Well first we find out how many hours 1 man takes

So we say

Unknown. ×given

Known

20 divided

8. × 1

=2,5 hr/1 man

Then we multiple the wanted man by the single hour man

5 ×2,5

=12,5 hrs

Hope this answer helps

Answer:

ok so basically 21

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

31 /150

Decimal Form: 0.206

Answer:

(2x +3) (4x +y)

Step-by-step explanation:

refer the image

Answer:

12=0.12x100

3000=0.3x10000

Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

Factors of a polynomial can divide it without leaving remainder. The other factor of [tex]6x^2 - 7x + 2[/tex] is given by Option D :  [tex]3x + 2[/tex]

Let the  polynomial A(x) has one factor f(x).

Then, it means, we have:

[tex]\dfrac{A(x)}{f(x)} = g(x)[/tex]

Thus, A(x) can be written as [tex]A(x) = f(x) \times g(x)[/tex]

Thus, the other factor of that polynomial is

[tex]g(x) = \dfrac{A(x)}{f(x)}[/tex]

For given case, the polynomial [tex]A(x)[/tex] is

[tex]A(x) = 6x^2 - 7x + 2[/tex]

Its one factor f(x) is given [tex]f(x) = 2x - 1[/tex]

Thus, its second factor is obtained as:

[tex]g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)[/tex]

Thus, the second factor of the given polynomial is

Option D :  [tex]3x + 2[/tex]

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Answer:

1/4

Since there are 4 friends and 12 cookies, assuming they divide them equally, each friend gets 12/4=3 cookes and so the fraction would be 3/12 which would simplify to 1/4.

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[tex]\huge\textbf{Hey there!}\\\\\huge\boxed{\mathbf{Equation: \dfrac{4\ friends}{12\ friends}}}\\\\\\\huge\boxed{\mathbf{= \dfrac{12\ cookies}{4\ friends}}}\\\\\\\huge\boxed{\mathbf{= 4\ friends\div 12\ cookies}}\\\\\\\huge\boxed{\mathbf{= \dfrac{4\div4\leftarrow friends}{12\div4\leftarrow cookies}}}\\\\\\\huge\boxed{= \mathbf{\dfrac{1}{3}\ in\ all}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{ your day!}[/tex]

Answer: 45.168

Step-by-step explanation:  First find 941 x 48 = 45168 then put the decimal point at the thrid digit as the decimal in 9.41 is in the 2nd digit and 1st in 4.8 so 2 + 1 = 3 so the answer is 45.168

Answer:

Approximately twenty-three and a half.

1. Lenas total pay if she sells 25 copy is $3050.

2. The copy sold is 34.

From the information given, Lena is a software salesperson. Her base salary is $1800 and she makes $50 more for every copy of English is Fun she sells.

It should be noted that the total pay, P after selling c copies is given by:

P = 50c + 1800

c = number of copies

The pay for 25 copies will be:

P = 50c + 1800

P = 50(25) + 1800

P = 1250 + 1800

P = 3050

When lenas total pay is 3500 the copys did she sell will be:

50x + 1800 = 3500

Collect like terms

50x = 3500 - 1800

50x = 1700

Divide

x = 34

The copy is 34.

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Answer:

45 times

Step-by-step explanation:

There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.

Multiply the probability by 55

[tex]\frac{9}{11}[/tex] × [tex]\frac{55}{1}[/tex]

Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5

[tex]\frac{9}{ 1}[/tex] × [tex]\frac{5}{1}[/tex]

45

Answer:

25 students

Step-by-step explanation:

Let x represent the amount of students in the astronomy club then:

80%x=20

Convert 80% to a fraction. Any percentage is that number over 100:

[tex]\frac{80}{100}x=20[/tex]

Simplify the fraction:

[tex]\frac{8}{10}x=20[/tex]

[tex]\frac{4}{5}x=20[/tex]

Multiply both sides by 5:

[tex]4x=100[/tex]

Divide both sides by 4:

[tex]x=25[/tex]

There are 25 students in the astronomy club.

Step-by-step explanation:

sum of two interior angles is equal to one exterior angle....this implies that,

(6x+4) +(5x+2)= 12x-4

11x+6=12x-4.......make X the subject

11x-12x=-4-6

-x= -10......divide both sides by -1

x=10

Answer:

b,e

Step-by-step explanation:

-5x -2= 10 false

-5x3=-15 true

-5x-5=25 false

-5x-6=30 false

-5x5=-25 true

[tex]\large\textbf{Hey there!}[/tex]

[tex]\mathbf{-5x < 2}\\\\\huge\textbf{DIVIDE -5 to BOTH SIDES}\\\mathbf{\dfrac{-5}{-5} < \dfrac{2}{-5}}\\\huge\textbf{CANCEL out: }\huge\boxed{\mathbf{\dfrac{-5}{-5}}}\huge\textbf{ because it give you 1}\\\huge\textbf{KEEP: }\huge\boxed{\mathbf{\dfrac{2}{-5}}}\huge\textbf{ because it help what is being}\\\huge\textbf{compared to the x-value}\\\large\textbf{NEW EQUATION: x }\mathbf{ > \dfrac{2}{-5}}\\\\\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\textbf{Thus, your answer is: \boxed{\mathsf{x > - \dfrac{2}{5}}}}\huge\checkmark[/tex]

[tex]\large\textbf{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]

Answer: c . 6/121

Step-by-step explanation: 100% on edge

The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

Given:

Beginner book=2

Intermediate book=6

Instructional piano books=11

Advanced books=3

Hence:

Probability=(2×3)÷(11×11)

Probability=6/121

Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.

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Answer:

B

Step-by-step explanation:

When you reflect across the x-axis, the x coordinate stays the same, but the y coordinates changes signs.

Answer:

B because the more kilometers that they walk they will give 4 dollars but also double the money they contribute

Step-by-step explanation:

hope this helps if I'm wrong please notify me and I will help  

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8/5=x/16

=5x=128

x=25.6

it is b answer

7/10=x/12

10x=84

x=8.4

it is a answer

Answer:

Step-by-step explanation:

Area of parallelogram = bh
=> The height = 108 : 9 = 12 ft

The length of the rug is less than the height of the parallelogram : 10 < 12
The width of the rug is also less than the base of the parallelogram : 6 < 9

So, the rug will fit in the room


:D

Answer:

Answer is the second one( -1/2)

Answer:

the correct answer is B

Step-by-step explanation:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Answer:

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1 aka B

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

28 / 7 = 4

4 * 8 = 32

Double check your answer:
28/32 = 7/8

ALL GOOD!

Answer:

  3a³ -20a² +16a -24

Step-by-step explanation:

Unlike the other problems shown here, this one requires you combine like terms.

  = a(3a² -2a +4) -6(3a² -2a +4)

  = 3a³ -2a² +4a -18a² +12a -24

  = 3a³ -20a² +16a -24