Please help and show work?

Shuana bought a skirt on sale for $28.00. That is, 80% of the regular price. What is the regular price?

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

x = 60°, y = 78°, z = 29°.

Step-by-step explanation:

(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.

(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.

(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.

Answer: the thing is I don’t know

Step-by-step explanation:

The difference between the income and expenses made by a company per month can be obtained by dividing the difference between the company's income and expenses throughout the year by 12. Hence, monthly difference is -$200

Given the Parameters :

Using the Expression :

Difference = ($84000 - $86400) = - $2400

Average monthly difference = (Difference ÷ 12)

Average monthly difference = -$2400/12 = -$200

Therefore, the company's monthly difference is -$200

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Answer: (3x-1)(x-4)

Step-by-step explanation:

Factor 3x^2-13x+4

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Answer:

4

Step-by-step explanation:

If the shapes are similar we can use the side length proportion to find the value of x:

7/91 = x/52 cross multiply expressions

91x = 364 divide both sides by 91

x = 4

Answer:

Step-by-step explanation:

Answer: The answer is 75

Step-by-step explanation:

Answer:

\(Charlie = 5 + x\)

\(Danny = x - 8\)

\(Eric = 3x\)

Step-by-step explanation:

Given

Billy's Marble = x

Required

Determine a,b and c

a. Charlie's Marble

"5 more" means 5 + or + 5

Since Billy's Marble is represented with x, then Charlie's Marbles will be

\(Charlie = 5 + x\)

b. Danny's Marbles

Having "8 fewer" means we have to subtract 8 from Billy's marble;

Since Billy's Marble is represented with x, then Danny's Marbles will be

\(Danny = x - 8\)

c. Eric Marbles

Having "three times as " means we have to multiply Bill's marble by 3;

Since Billy's Marble is represented with x, then Danny's Marbles will be

\(Eric = 3 * x\)

\(Eric = 3x\)

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Answer:

It was a 33% decrease

Step-by-step explanation:

90 minutes - 60 minutes = 30 minutes

30/90= .333333333333

Given that in the same square garden plot (with an area of 400 sq ft);

The length of the sides of the square garden is;

The perimeter of the square field is;

A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.

We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding

m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.

m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.

m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).

m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.

m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.

Based on the above analysis, the statements that are always true regarding the diagram are

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 = 180°

m∠2 + m∠3 + m∠5 = 180°

Therefore, the correct options are B, C, and E.

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Answer:

The piano has 88 keys, so there are 88 keys that can be pressed by the cat.

We can assume that each one of the 88 keys has the same probability of being pressed.

We want to find the probabiiity that the cat press the first four notes of the Fifth Symphony (i suppose we want to find the probability where the cat strikes the notes in the correct order), those notes are:

These notes, at least in the melody, are 3 LA´s, and one REb.

While in a piano the notes are repeated a lot of times, (in 88 keys we will have around 7 of each).

All of them have a different pitch (some are higher notes, and other are lower).

The ones in the beginning of the Fifth Symphony are already defined, this means that for each note, we have a probability of 1/88 of hitting the correct key.

Then the cat needs to do this four times.

The first LA will have a probability of 1/88 of being hit.

The second LA will have a probability of 1/88 of being hit.

The third LA will have a probability of 1/88 of being hit.

The REb will have a probability of 1/88 of being hit.

Then the joint probability will be the product of each individual probability, this means that the probability of the cat hitting those four notes in order is:

P = (1/88)*(1/88)*(1/88)*(1/88) = 1.7*10^(-8)

The probability that a cat, jumping on 4 keys in sequence and at random, will strike the first four notes of Beethoven's Fifth Symphony is \(\rm 1.7\times 10^{-8}\).

Given :

The Cat on the Piano A standard piano keyboard has 88 different keys.

The following steps can be used in order to determine the probability that a cat, jumping on 4 keys in sequence and at random, will strike the first four notes of Beethoven's Fifth Symphony:

Step 1 - The four notes of the piano are 3 LA's and 1 REb.

Step 2 - The probability that the first key is LA is 1/88.

Step 3 - The probability that the second key is LA is 1/88.

Step 4 - The probability that the third key is LA is 1/88.

Step 5 - The probability that the key is REb is 1/88.

Step 6 - So, the probability that a cat, jumping on 4 keys in sequence and at random, will strike the first four notes of Beethoven's Fifth Symphony is:

\(\rm P=\dfrac{1}{88}\times \dfrac{1}{88}\times \dfrac{1}{88}\times \dfrac{1}{88}\)

\(\rm P = 1.7\times 10^{-8}\)

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Therefore the solution to the given problem is  the each of the congruent base angles is 70°

In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.

Here,

As the triangle is an isosceles triangle therefore it will have 2 same angles

thus,

Sum of the 3 angles of a triangle=180°

Vertex angle =40°

Sum of two congruent angles=180°–40°=140°

Measure of each base angle=70°

Therefore the each of the congruent base angles is 70°

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Answer:

Step-by-step explanation:

7x - 15 = 4x - 12

3x - 15 = -12

3x = 3

x = 1

y = 7(1) - 15

y = 7 - 15

y = -8

(1, -8)

Answer:

26

Step-by-step explanation:

6+b=32

-6 -6

0 26

just subtract 6 from 32

Here's the solution,

By using Trigonometry :

=》

\( \sin(30) = \dfrac{7}{x} \)

=》

\( \dfrac{1}{2} = \dfrac{7}{x} \)

=》

\(x = 14\)

hence, the value of x = 14 units

Answer:

14

Step-by-step explanation:

Answer:

The possible number of combination to select two positions from 9 people is 72.

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Answer: -1.13

Step-by-step explanation:

Given data:

The expression for the given function is f(x)=x^3-5x^2+6.

The derivative of the given function is,

Equate the f'(x) to zero, and evaluate the values of x.

Substitute -1 for x in the above expression.

Positive sign indicate the given function is increasing in nature.

Answer:

2,25

Step-by-step explanation:

2x-4+x=5-x

2x+x+x=5+4

4x=9 |÷4

x=2,25

Answer:

x = 9/4 = 2.25

Step-by-step explanation:

First thing to do when solving this equation would be to expand the brackets.

Because the sign in front of the brackets it a negative/minus, it means that we have to reverse the signs of both numbers inside (i.e. positive numbers become negative and vice versa):

\(2x-(+4-x)=5-x\\2x-4+x=5-x\)

Next, we can move all the x-terms to one side and the constants to the other so we can solve for a numerical constant value of x.

To do this we will first combine like terms (x's and x's etc.), and then subtract or add that value from both sides. This allows us to move terms to the other side without changing the equation (both sides are still equal):

\(2x+x-4=5-x\\3x-4=5-x\\3x-4+4=5-x+4\\3x=5+4-x\\3x+x=9-x+x\\4x=9\\4x/4=9/4\\x=\frac{9}{4} =2.25\)

We can also test this answer by substituting it back into the original equation for 'x':

\(2(2.25)-(4-2.25)=5-2.25\\4.5-1.75=2.75\\2.75=2.75\)

In which case the equation checks out, meaning we got the correct answer.

Hope this helped!

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

We are required to find how much the polygon has rotated after 12 minutes

The number of times the polygon has rotated after 12 minutes is 72°

Number of sides of the polygon = 60

The polygon rotates every minute, that is

1 rotation = 1 minutes

12 rotation = 12 minutes

one rotation of the clock is 360°

Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes

= 360°/60 × 12

= 6 × 12

= 72°

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