Combine the like terms to create an equivalent expression.
5 + 3t +4-t

Expression can be used to find 1/2 of 12 is 1/2*12

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex](in percentage)

Given;

P= 1/2 => 5/10 => 50/100

b= 12

substituting in the formula;

 a/12 = 50/100

putting the value of 50/100 from given

 a/12= 1/2

a= 1/2*12

Therefore, the correct answer will be 1/2*12

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Step-by-step explanation:

[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]

therefore it's divisible by 31

[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]6^7 - 6^6 + 6^5[/tex] s

Taking common factors.

[tex]6^5[/tex] (6² - 6 + 1)

[tex]6^5[/tex] (36 - 6 + 1)

[tex]6^5[/tex] x 31

This is divisible by 31.

Thus,

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

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Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

Answer:

Step-by-step explanation:

Let the amount of nickels be x

Let the amount of dimes be y

Let the amount of quarters be z

If the total collection amounts to $9.50, then;

x+y+z = 9.50 ..... 1

If there are four times as many quarters as nickels, then;

z = 4x .... 2

Also if there are 3 more dimes than nickels then;

y = x+3 .... 3

Substitute 2 and 3 into 1;

x + x+3 + 4x = 9.50

6x = 9.50 -5

6x = 4.50

x = 4.50/6

x = $0.75

Since y = x  +3

y = 0.75 + 3

y = $3.75

Also, z = 4x

z = 0.75(5)

z = $3.0

Hence there are

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

Answer:

y=5x-15, y=-1/5x-23/5

Step-by-step explanation:

Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.

We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=5x+b

-5=5(2)+b

-5=10+b

b=-15

So the equation of the parallel line is y=5x-15.

Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.

We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.

y=-1/5x+b

-5=-1/5(2)+b

-5=-2/5+b

b=-23/5

So the equation of the perpendicular line is y=-1/5x-23/5.

Answer:

The Best answer would be The Third Option Below

Step-by-step explanation:

Answer:

[tex]y = \frac{224}{15}[/tex]

Step-by-step explanation:

Given

[tex]y = 7x + 14[/tex]

[tex]2x + 4y = 60[/tex]

Required

Find y

First, substitute 7x + 14 for y in the second equation:

[tex]2x + 4y = 60[/tex] becomes

[tex]2x + 4(7x + 14) =60[/tex]

Open bracket

[tex]2x + 28x + 56 = 60[/tex]

[tex]30x = 60 - 56[/tex]

[tex]30x = 4[/tex]

Solve for x

[tex]x = \frac{4}{30}[/tex]

[tex]x = \frac{2}{15}[/tex]

[tex]y = 7x + 14[/tex] becomes

[tex]y = 7 * \frac{2}{15} + 14[/tex]

[tex]y = \frac{14}{15} + 14[/tex]

[tex]y = \frac{210+14}{15}[/tex]

[tex]y = \frac{224}{15}[/tex]

Hence:

[tex]y = \frac{224}{15}[/tex]

Answer:

3

Step-by-step explanation:

system of equations:

[tex]a+b=4[/tex]

[tex]a^3+b^3=28[/tex]

[tex]a=4-b[/tex]

plug in for a in other equation and solve

[tex](4-b)^3+b^3=28[/tex]

[tex]64-48b+12b^2-b^3+b^3=28[/tex]

[tex]64-48b+12b^2=28[/tex]

[tex]0=36-48b+12b^2[/tex]

[tex]0=3-4b+b^2[/tex]

[tex]0=(b-3)(b-1)[/tex]

[tex]b = 3[/tex]

or

[tex]b=1[/tex]

plug into other equation to get a

[tex]a=4-b=4-3=1[/tex]

or

[tex]a=4-b=4-1=3[/tex]

multiply together

[tex]1*3=3[/tex]

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°

Answer:

D or C

Step-by-step explanation:

Answer:

Not possible

Step-by-step explanation:

Given quadratic polynomial = x² + 2x + 3.

Possible factors of 3 are , 1 & 3 .

And we can get 2 from 3 and 1 in only one way that is 3 - 1 .

=> x² + 2x + 3 .

=> x² + 3x - x + 3 .

=> x ( x + 3 ) - 1 ( x - 3 )

Hence the factorisation is not possible .

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

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Answer:

∆DPL ~ ∆QAZ

Step-by-step explanation:

In the diagram given, the following can be deduced:

<D is congruent to <Q

<P is congruent to <A

<L is congruent to <Z

From these, looking at the letter arrangement, the similarity statement can be written as:

∆DPL ~ ∆QAZ

Answer:

108c so 2 dollar bills.

Step-by-step explanation:

Answer:are you taking AP calculus AB

Step-by-step explanation:

Answer:

A l and lll

my teacher helped me

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because it has a varying and uniform difference of -3

Answer:picture?

Step-by-step explanation:

Answer:

18n+9 i think

Step-by-step explanation:

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]

[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]

Hence,  his rate of return = 5.3%

Answer:

[tex]7^2+6[/tex]

7 to the 2nd power is 49

49+6

55

Answer:

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

Answer:

-8

Step-by-step explanation:

search up this website for the steps:

symbolab is the website

Answer:

That is a false equation

Step-by-step explanation:

The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math

Answer:

A

Step-by-step explanation:

you just need to divide $7.65 by 3

Answer: The answer is A

Each box cost $2.55

Step-by-step explanation:

7.65 divided by 3 = to 2.55