Will mark brainliest!!! Solve for each variable!

The solution of equation is -7, the number of solutions to equation is one.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 30+ 6p = 7(p + 6)- 5

Thirty plus six times of p equal to seven times of p plus six minus five.

p is the variable in the equation.

30+ 6p = 7(p + 6)- 5

Apply distributive property on right hand side.

30+6p=7p+42-5

Take all the variables on one side and constants on other side.

30-42+5=7p-6p

-7=p

p=-7

Hence, the solution of equation is -7, the number of solutions to equation is one.

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Answer:this one

●________>

Step-by-step explanation:

Answer:

1440 miles

Step-by-step explanation:

360 miles = 2 hours

360/2=180 miles = 1 hours

8 hours = 180*80=1440 miles

An airplane that travels 360 miles in 2 hours can travel 1440 miles in 8 hours.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, An airplane travels 360 miles in 2 hours.

So, In one hour the airplane can travel (360/2) = 180 miles.

∴ In 8 hours the airplane can travel (8×180) miles = 1440 miles.

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Answer:

= 3(j+2)

Step-by-step explanation:

Answer:

definitely watch a video!

Step-by-step explanation:

Answer:

20

40/50

Step-by-step explanation:

Answer:

x=4, y=2 (4,2)

Step-by-step explanation:

This is a system of equations.

-2x+2y=-4

2x-3y=2

I'll use the elimination method to solve this.

add the two equations together.

what's left:

-y=-2

multiply both by -1

y=2

now, substitute 2 as y into one of the other equations.

For example:

-2x+2(2)=-4

-2x+4=-4

-2x=-8

x=4

hope this helps!

Answer:

(4, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-2x + 2y = -4

2x - 3y = 2

Step 2: Rewrite Systems

2x - 3y = 2

Step 3: Redefine Systems

-2x + 2y = -4

2x = 3y + 2

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

≈ 26.39 inches

Step-by-step explanation:

The circumference of a circle is 2πr or πd with r meaning radius and d for diameter. Since we know the diameter already, we can substitute the value in for d:

C = π(8.4) = 8.4π ≈ 26.39

Answer:

Step-by-step explanation:

10+60t≤280

60t≤280-10

60t≤270

6t≤27

2t≤9

t≤9/2

t≤4.5

t=4 hours

first subtract $10 from$280 and you get $270

270 divided by 60 = 4.5

so the answer is four and a half hours

Step-by-step explanation:

Kim is 5 years older than Scott.

Kim's mum is 3 times Kim's age.

Scott's dad is 3 times Scott's age.

Let age of Scott = y years

Then Kim's age = (y+5) years

Kim's mum age = years

Scott's Dad age = years

Difference between Kim's mum age and Scott's Dad age = Kim's mum age - Scott's Dad age = (3y+15) - (3y) = 15

Answer:

7

Step-by-step explanation:

Answer:

x is greater that 8

Step-by-step explanation:

this is because if the quotient of 2 and x has to be greater that 4 then 2 divided by 8 (8 being x) is 4 so anything substituting x has to be greater that 8.

Answer:

The distance of the line segment AB =17

Step-by-step explanation:

Explanation:-

Given points are X( -8,5) and Y(7,-3)

The distance of the line segment

       AB = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} - y_{1} )^{2} }[/tex]

      [tex]AB = \sqrt{(7-(-8) )^{2} +(-3-5 )^{2} }[/tex]

    [tex]AB = \sqrt{(7+8)^{2} +(-5-3)^{2} }[/tex]

    AB = [tex]\sqrt{225+64}[/tex]

   AB = 17

The distance of the line segment AB =17

what do you mean?"

Step-by-step explanation:

Answer:

$192.00

Step-by-step explanation:

Hope this helps!!

Love: Deku~ <3

PS. Draco Malfoy ;w;

heres your proof Malfoy-

Answer:

b. 1.25

Step-by-step explanation:

30 / 24 = 1.25

so u take

1.25 * 1 = 1.25

Answer:

Well 240 divided by 4 equals 60 which is how many miles he can travel in 1 hour.

Step-by-step explanation:

So 60 multiplied by 10 equals 600.

That means Moby can travel 600 miles on his jetpack in 10 hours

Hope this helps :)

Answer:

All real numbers except for 0, -5, and 5

Step-by-step explanation:

You can't have a zero in the denominator, therefore 0, -5, and 5 can't be solutions to the equation.

Interval notation:

(-infinity, -5) u (-5, 0) u (0, 5) u (5, infinity)

Set-Builder Notation:

{x| x≠ 0, 5, -5}

Answer:

x=-4

Step-by-step explanation:

-2x=5+3

-2x=8

x=-4

hope this helps!

Answer:

[tex]log(9^2) = 2\ log(9)[/tex]

Step-by-step explanation:

Given

[tex]log(9^2)[/tex]

Required

Select an equivalent expression

To answer this, we apply the following law of logarithm.

[tex]log(a^b) = b\ log(a)[/tex]

So:

[tex]log(9^2) = 2 * log(9)[/tex]

[tex]log(9^2) = 2\ log(9)[/tex]

Hence:

The equivalent expression is (a). [tex]2\ log(9)[/tex]

Answer:

x = -6

Step-by-step explanation:

[tex]130 + (x + 56) = 180 \\ x = 180 - 56 - 130 \\ x = 180 - 186 \\ x = - 6[/tex]

Answer:

A. ∠B = 55°; ∠D = 55°

Step-by-step explanation:

Hope this helps :)

The measures of angles B and D are option (a) ∠B = 55°; ∠D = 55°

A parallelogram is a shape whose opposite sides are parallel and congruent.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given; Angle B is (2 n + 15) degrees and angle D is (3 n minus 5) degrees.

The following is the step to determine the measures of angles B and D

We have,

angle B = 2n + 15

angle D = 3n - 5

The angles are opposite angles;

So,

angle B = angle D

This gives us;

2n + 15 = 3n - 5

Now Collect like terms;

3n - 2n = 15 + 5

n = 20

Then Substitute 20 for n in angle B = 2n + 15

angle B = 2 * 20 + 15

angle B = 55

Hence, the measures of angles B and D are option(a) ∠B = 55°; ∠D = 55°

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Answer:

210

Step-by-step explanation:

Answer:

109000

Step-by-step explanation:

Answer: 37 dollars

Step-by-step explanation: 7$ times 3 hours = 21 dollars and 8$ times 2hours = 16. 16+21= 37$

Answer:

37 dollars

Step-by-step explanation:

Answer:

84p-8

Step-by-step explanation:

Answer:

84p - 8

Step-by-step explanation:

80p - 8 + 4p

combine like terms, 80p and 4p

84p - 8

Answer:

I think is the 10

i hope this hepl you

Answer:

A: -10

Step-by-step explanation:

Answer:C

D

E

B

Step-by-step explanation:

Answer:

The 3rd option i.e. 'the equation has no solution' is the correct option.

Step-by-step explanation:

Given the given function

4(x – 1) – x = 3(x + 5) – 11

Lily's work is shown below

4(x – 1) – x = 3(x + 5) – 11

4x – 4 – x = 3x + 15 – 11

3x – 4 = 3x + 4

It is clear that the Left-hand side of the equation is not equal to the right-hand side of the equation as 3x – 4 can not be equal to 3x + 4.

i.e.

3x – 4 ≠ 3x + 4

3x - 3x -4 ≠ 4

            -4 ≠ 4

       L.H.S ≠ R.H.S

Therefore, the equation has no solution.

Hence, the 3rd option i.e. 'the equation has no solution' is the correct option.