Solve and check the following linear equation. 8x-(6x-7)=21

Answer:

6c+7 (c=8)

Step-by-step explanation:

6×8+7

48+7

do the addition answer will come

The value of the expression  6c + 7 at c =8 will be 55.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

E = 6c+7

Put (c=8) in the above expression

E =6×8+7

E = 48+7

E = 55

Therefore the value of the expression  6c + 7 at c =8 will be 55.

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Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

Answer:

When x  =1, y = 3(1) + 4 = 7

When x = 2, y = 3(2) + 4 = 10

When x = 3, y = 3(3) + 4 = 13

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Answer:

Step-by-step explanation:

A regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square.

Answer:

B

Step-by-step explanation:

Answer:

R11 303

Step :

Find 11% of R12 700

R12 700 × 11/100

=R1 397

then substract the 11% from R12 700

R12 700 - R1 397

=R11 303

Answer:

answer is 3 1/2

Step-by-step explanation:

Answer:

18/5 yard or 3 3/5 yard

Step-by-step explanation:

Length of fabric needed for 1 costume = 3/5 yard

Length of fabric needed for 6 costumes = (3/5)*6

= 18/5 yard

= 3 3/5 yard

Step-by-step explanation:

1. x^2 + 10x + 25

2. x^2 - 25

.........

Answer:

Step-by-step explanation:

1. x^2 + 10x + 25

2. x^2 - 25

3. x^3 + 15x^2 + 75x + 125

4. x^2 + 2xy + 2xz + y^2 + 2yz + z^2

Answer:

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Step-by-step explanation:

Given that;

f(x, y) = 4y √x, (4, 1)

{ x=4 and y=1 }

Maximum rate of change occurs with the gradient vector;

[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]

we substitute in our value of x and y

[tex]\nabla[/tex]f =  2(1)/√4, 4√4

[tex]\nabla[/tex]f = 2/√4, 4√4

[tex]\nabla[/tex]f = ( 1, 8 )

Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|

we substitute

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Answer:

4x^2 - 4x + 1

Step-by-step explanation:

Answer:

I think it would be 4 mph because 4x4 is 16

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

Answer:

B .3 I m not sure about it but I think it's 3

Answer:

1440 different arrangements are possible.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

[tex]T = 2A_{6} = 2*6! = 1440[/tex]

1440 different arrangements are possible.

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

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Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Answer:

117 soda cans

Step-by-step explanation:

First find the volume of the soda can and box.

box V= l * w * h

box V= 15* 8 * 23

box V= 2,760 in²

can V= πr²h

can V= π(2.5/2)²*4.8

can V= 23.56

box V/ can V

2,760/23.56 = 117.15

you can only round down so 117 cans

Answer:

x=9, -9

Step-by-step explanation:

Use difference of squares to the denominator.

so

[tex]\frac{x^2+4x+3}{(x+9)(x-9)}[/tex]

If you plug 9 or -9 for x, the denominator becomes 0, meaning that the value would be undefined. Thus, if would not be in the domain of g.

So, x=9, -9

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978

Answer:

10,14,30-34,5

Step-by-step explanation:

Answer: It is 5

Have a good day :)

Answer:

$615.54

Step-by-step explanation:

Step 1

Write your problem.

577.98 x 6.5% = ?

Step 2

Convert the % to a decimal:

6.5% to 0.065

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

577.98 x 0.065 = 37.56

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

577.98 + 37.56 = $615.54 (total cost)

Answer:

a) 1/9

b)1/64

c)1/16

Step-by-step explanation:

Answer:

(-6, -6)

Step-by-step explanation:

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.

The lines intersect at y = y

Equating the right hand side of both expressions we have;

x  = -6

Since y = x, hence y = -6

The required coordinate where they intersect is at (-6, -6)

Answer:

the last one

Step-by-step explanation:

x is greater than or equal to 0. you can see the line goes from 0 and up so it can be 0, or greater. hope this helps! :)

Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27