All categories

3 years ago

How do you solve for 0.25(12-8p)=4p-9

1 answer:

6 0

The answer is p = 2.

Here are the steps I did.

1. Expand ( 3 - 2p = 4p - 9 )

2. Add 2p to both sides ( 3 = 4p - 9 + 2p )

3. Simplify 4p - 9 + 2p to 6p - 9 ( 3 = 6p - 9 )

4. Add 9 to both sides ( 3 + 9 = 6p )

5. Simplify 3 + 9 to 12 ( 12 = 6p )

6. Divide both sides by 6 ( 12/6 = p )

7. Simplify 12/6 to 2 ( 2 = p )

8. Now lastly switch it up ( p = 2 )

You might be interested in

Find B if a= 8M, B=69°, and C=48°

dmitriy555 [2]

Answer:

Step-by-step explanation:

7 0

3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

7 0

3 years ago

What is m2? What is m<1?

yuradex [85]

Answer:

∠ 2 = 75° , ∠ 1 = 105°

Step-by-step explanation:

∠ 2 and 75° are alternate angles and are congruent , then

∠ 2 = 75°

∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is

∠ 1 + ∠ 2 = 180°

∠ 1 + 75° = 180° ( subtract 75° from both sides )

∠ 1 = 105°

3 0

2 years ago

Find the constant of variation if x and y vary directly and x = 6 when y= -2/3 ?

elena-14-01-66 [18.8K]

Answer:

k= 5/22

Step-by-step explanation:

3 0

3 years ago

What is FOIL and PEMDAS?

Ugo [173]

FOIL and PEMDAS are both ways to solve mathematical equations.

FOIL
First
Outside
Inside
Last

PEMDAS
Parenthesis
Exponents
Multiplication &
Division
Addition &
Subtraction

FOIL is usually used to solve equations in two sets of parenthesis, for example:
(23+x)(5-4x)

PEMDAS is used to solve multiple-operation equations, such as:
5 x 4 + 6 - 2 x 7

Whew, hope this helped :D

3 0

3 years ago

Read 2 more answers