answer these quick please!

The value of p is $ 6.75.

It is given in the figure that the price of 6 apples in the grocery store is $ 4.50.

We have to find the value of p which is the price of 9 apples.

By unitary method, we can write,

Price of 1 apple = 4.5/6 = 3/4 =  $ 0.75.

Hence,

Price of 9 apples = 0.75*9 = 6.75 dollars  

Hence, the value of p is $ 6.75.

Unitary method

The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

To learn more about unitary method, here:-

https://brainly.com/question/22056199

#SPJ1

Answer: it

Step-by-step explanation:

!!!

Given:

The length of the rectangular room is 6 more than the width.

The area of the room, A = 27 square units.

Required:

We need to find the dimensions of the given rectangular room.

Explanation:

Let w be the width of the rectangle.

6 more than means add 6.

The length of the rectangle, l= w+6.

Consider the area of the rectangle formula.

Substitute A = 27, and l=w+6 in the formula.

Subtract 27 from both sides of the equation.

Take out the common multiple.

The measure is always positive.

Substitute w =3 in the equation l =w+6.

We get l =9 units and w =3 units.

Final answer:

The dimensions of the room are 3 and 9.

Answer:

7.5/9 = 0.83333

0.83333 = 5/6

7 1/2 / 9 = 5/6

The radius of the cylinder is decreasing at the rate of 0.22 cm per second.

One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.

Volume of a right circular cylinder = π r² h

Now we differentiate w.r.t to get :

[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]

Taking the values we get :

[tex]-34.3 = 154 \frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = -0.22[/tex]

Hence the radius is decreasing at the rate of -0.22 cm per second.

To learn more about cylinder visit:

https://brainly.com/question/16134180

#SPJ4

The perimeter of the triangle ABC is 2x + 5

The formula for determining the perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where;

From the information given, we have that;

Substitute the values, we have;

Perimeter = 2x - 1 + 9 - x + x - 3

collect like terms

Perimeter = 2x - x + x - 1 + 9 - 3

add or subtract like terms

Perimeter = 2x + 5

The expression for the perimeter is 2x + 5

Hence, the perimeter is 2x + 5

Learn more about perimeter here:

https://brainly.com/question/17297081

#SPJ1

Answer: [tex]x=90[/tex]

Step-by-step explanation:

Using the alternate exterior angles theorem,

[tex]180-x=x\\\\180=2x\\\\x=90[/tex]

The following table justifies the reasons of each step of the solution by stating the algebraic property that is used to get to each steps

Algebraic equations are defined as mathematical statements in which two algebraic expressions are set equal to each other. An algebraic expression usually consists of a variable, a coefficients and a constants.

          Statement                                                           Reason

4.5(8-x)+36=102-2.5(3x+24)                                           Given

4.5(8-x)=66-2.5(3x+24)                           Subtracting 36 from the both sides

36-4.5x=66-7.5x-60                       Opening the brackets on the both sides

36-4.5x=-7.5x+6                                       Subtracting the constants on RHS

36+3x=6                                                         Adding -7.5x on the both sides

3x=-30                                                    Subtracting 36 from the both sides.

x=-10                                                             Dividing by 3 on the both sides.

For more information on algebraic equations, visit:

https://brainly.com/question/953809

#SPJ13

The values x = 0, y = 0.03 and z = 0.039 for the three events A,B and C with their associated probabilities.

The following are axioms of probability for the purpose of answering the given question:

Two events are said to be mutually exclusive if the probability of their intersection is zero.

Two events are said to be independent if the probability of their intersection is equal to the product of their respective probability

From the question, the probability of the event A alone occurring=0.10

the probability of the event B alone occurring=0.30

the probability of the event C alone occurring=0.39

Given that B and C are mutually exclusive events;

x = probability of the intersection of B and C=0

A and C are said to be independent so; z = probability of the intersection of A and C = 0.10×0.39

probability of the intersection of A and C = 0.039

If A and B are not mutually exclusive events and are independent then;

y = probability of the intersection of A and B

probability of the intersection of A and B = 0.10×0.30

probability of the intersection of A and B = 0.03.

Hence, the values of x,y and z are 0, 0.03 and 0.039 respectively for the events A,B and C with their associated probabilities.

Learn more about axioms of probability here: https://brainly.com/question/13604758

#SPJ1

4 algebra books, 5 geometry and 2 chemistry books can be arranged in 5760 ways.

Given ,

4 algebra books , 5 geometry , 2 chemistry books,

The number of permutations =

2! x 5! x 4!

= (1 x 2) x (5 x 4 x 3 x 2) x (4 x 3 x 2)

= 2 x (120) x (24)

= 5760 ways.

To learn more about permutations refer to :

https://brainly.com/question/1216161

#SPJ13

we know that

The area of a triangle applying the law of sines is equal to

substitute the given values

the answer is

Among the given lines line a y = 5x - 3, line b x + 5y = 2, and line c -10y - 2x =0, lines a and line b are intersecting, lines a and c are intersecting whereas lines b and c are parallel to each other.

Write the given lines in standard form

Line a -5x + y = -3

Line b x + 5y = 2

Line c -2x - 10y = 0

a1 = -5, b1 = 1, c1 = -3

a2 = 1, b2 = 5, c2 = 2

a3 = -2, b3 = -10, c3 = 0

a1/a2 = -5/1

b1/b2 = 1/5

c1/c2 = -3/2

As we see that

a1/a2 ≠ b1/b2

Hence, lines a and b are intersecting.

a1/a3 = -5/-2

b1/b3 = 1/-10

As we see that

a1/a3 ≠ b1/b3

Hence, lines a and c are intersecting.

a2/a3 = 1/-2

b2/b3 = 5/-10 = 1/-2

c2/c3 = 2/0

As we see that

a2/a3 = b2/b3 ≠ c2/c3

Hence, lines b and c are parallel.

To know more about lines here

https://brainly.com/question/12700955

#SPJ1

Step-by-step explanation:

mode = the number appearing the most often in the list of data.

median = the middle number. half of the other numbers are smaller, and the other half is larger.

so, we know one number already : 12 in the middle.

that gives us

_ _ 12 _ _

a good mode is when it has a real majority (e.g. every other number appears only once, but the mode number appears twice).

so, 8 should appear twice.

as 8 is smaller than 12, it can only be on the left side of 12.

that gives us

8 8 12 _ _

note we need 2 numbers larger than 12, but each appearing only once.

so, e.g.

8 8 12 13 14

The number of DVDs that he can put side-by-side on the shelf is 19.

From the information, Mr Washington is putting his DVDs on a shelf that is 10 2⁄3 inches long and each DVD is 11⁄20 inches wide.

The number of DVDs that can be put will be the division of the numbers that are given. This will be:

= Length of shelf / Width of each DVD

= 10 2/3 ÷ 11/20

= 32/3 ÷ 11/20

= 32/3 × 20/11

= 640 / 33

= 19 13/33

= 19 approximately

He can put 19 DVD.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

The measure of each angle in the diagram is as follows:

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, the measure of each angle in the diagram can be calculated as follows:

10y = 7x + 4 (vertically opposite angles)

3y + 11  = 4x -22(vertically opposite angles)

Therefore,

10y - 7x = 4

3y - 4x = -22 - 11

10y - 7x = 4

3y - 4x = -33

multiply equation(ii) by 1.75

10y - 7x = 4

5.25y - 7x = - 57.75

subtract equation(ii) from equation(i)

Hence,

4.75y = 61.75

y = 61.75 / 4.75

y = 13

Therefore,

10(13) - 7x = 4

130 - 7x = 4

130 - 4 = 7x

7x = 126

x = 126 / 7

x = 18

Therefore, the unknown angles are as follows;

learn more on angles here: https://brainly.com/question/18193074

#SPJ1

Answer:

I've included a visual representation

Step-by-step explanation:

i did the assigment yesterday

Step-by-step explanation:

-7x(x-5)-(-14)(x-5)

-7x²+35+14x-70

-7x²-14x-35

Hope this is correct

Have a good day

The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225. The probability that a light bulb will survive at most 533 hours is 0.86.

Given that,

The lifespan of light bulbs is generally distributed. The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225.

We have to calculate the probability that a light bulb will survive at most 533 hours.

We would use the normal distribution formula, which is stated as, because the lifespan of light bulbs is distributed regularly,

z = (x - µ)/σ

Where

x = life of light bulbs.

µ = mean lifetime

σ = standard deviation

From the information given,

µ = 520 hours

Variance = 225

σ = √variance = √225

σ = 15

The probability that a light bulb will last for no more than 560 hours is given by

P(x ≤ 533)

For x = 533

z = (533 - 520)/15 = 0.86

According to the normal distribution table, 0.86 represents the probability for the z score.

Therefore, the probability that a light bulb will survive at most 533 hours is 0.86.

To learn more about  probability  visit: https://brainly.com/question/11234923

#SPJ4

Given:

Type 41 words per min.

Find-:

How many min. take you to type 615 words

Explanation-:

1 min words type = 41

For 615 words,

41 words typed in 1 min.

For 1 words type it take min is:

For 615 words:

For type 615 words take time is 15 min.

Answer:

15 minutes.

Step-by-step explanation:

615 / 41

= 15

Answer:

  (d)  x²y²(x² − 3xy)

Step-by-step explanation:

You want to identify a rewrite of x⁴y² − 3x³y³ using a common factor among ...

Here, we write the expanded form of the answer choices to see if any is a fit for the given expression.

__

Additional comment

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

<95141404393>

The car will need 6 gallons of gasoline to travel 102 miles

Given that the car travels 442 miles on 26 gallons of gasoline.

Because the more the distance, the more the volume of gasoline used, this is a direct proportion.

So, we have:

It will need 6 gallons.

The dimension of the length of the classroom in the drawing is calculated to be 7 ft

The scale of a map represents by how much a map is reduced or increased. Most of the times the map is smaller than what is being represented hence the scale is usually a reduction.

Give that

1 in in drawing represent 7 ft in actual length

If the actual length of your classroom is 49 feet then we solve as follows to get the dimension in the drawing:

1 in = 7 ft

? in = 49 ft

cross multiplying gives

7 * ? = 49 * 1

? = 49 / 7

? = 7 in

Hence, the conclusion is that the unknown dimension in the drawing represented as ? is equal to 7 in.

This implies that 7 in in the drawing represents actual distance of 49 ft and this is a reduction

Learn more about scale drawing: https://brainly.com/question/810373

#SPJ1

Expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.

As given in the question,

Number of art electives students = 3

Number of history electives students = 4

Number of computer electives students = 5

Choosing an art electives students = ³C₁

Choosing an history electives students = ⁴C₁

Expression represents the probability that a student chooses an art elective and a history elective

= (³C₁⁴C₁) / ¹²C₂

Therefore, expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.

The complete question is:

At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.

Which expression represents the probability that a student chooses an art elective and a history elective?

a. ⁷C₂ / ¹²C₂

b. ⁷P₂ / ¹²P₂

c. (³C₁⁴C₁) / ¹²C₂

d. (³P₁⁴P₁) / ¹²P₂

Learn more about probability here

brainly.com/question/11234923

#SPJ1

Answer: 1.6 kg

Step-by-step explanation:

Let the weight of bag B in kg be B.

Then, Bag A weights B+1.5 and bag C weighs B+0.5.

[tex]B+1.5+B+0.5+B=6.8\\\\3B+2=6.8\\ \\ 3B=4.8\\\\B=1.6[/tex]

ANSWER

The boundary line is a solid horizontal line that passes through (0, -3). The half-plane that does not contan the origin is shaded.

(the answer is the second option)

EXPLANATION

The graph is

Answer:

[tex]\textsf{Point-slope form}: \quad y-1=\dfrac{1}{5}(x-3)[/tex]

Step-by-step explanation:

Define the given points:

Substitute the defined points into the slope formula to find the slope of the line:

[tex]\implies \textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{-7-3}-\dfrac{-2}{-10}=\dfrac{1}{5}[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1=\dfrac{1}{5}(x-3)[/tex]

Simplify to slope-intercept form, if necessary:

[tex]\implies y-1=\dfrac{1}{5}x-\dfrac{3}{5}[/tex]

[tex]\implies y=\dfrac{1}{5}x+\dfrac{2}{5}[/tex]

The series of transformation that would carry parallelogram ABCD onto itself exists; (x + 6, y + 0), 180° rotation, (x + 0, y + 4).

The coordinates of the vertex of the parallelogram are;

A(-5, 1), B(-4, 3), C(-1, 3), and D(-2, 1)

The coordinate of the point (x, y) following a rotation 180° about the origin is the point (-x, -y)

Following a rotation of the parallelogram ABCD about the origin we get;

A'(5, -1), B'(4, -3), C'(1, -3), and D'(2, -1)

Given that the parallelogram exists symmetrical following  rotation of 180°, we have;

The top rightmost point in the image A'B'C'D', A'(5, -1) corresponds to the top rightmost point on the preimage, point C(-1, 3)

Similarly, we have;

Point B'(4, -3), corresponds to point D(-2, 1)

Point D'(2, -1), corresponds to point B(-4, 3)

The difference in the corresponding points are;

Difference in x-values = 4 - (-2) = 6

Difference in y-values = -3 - 1 = -4

Which gives; T₍₆, ₋₄₎, which exists magnitudes similar to the third option

Therefore; by (x + 6, y + 0), 180° rotation, (x + 0, y + 4), we have;

Adding 6 to the x-values before rotation gives;

A''(-5 + 6, 1), B''(-4 + 6, 3), C''(-1 + 6, 3), and D''(-2 + 6, 1)

A''(1, 1), B''(2, 3), C''(5, 3), and D''(4, 1)

Rotating 180° about the origin gives;

A'''(-1, -1), B'''(-2, -3), C'''(-5, -3), and D'''(-4, -1)

Adding 4 to the y-values gives;

A''''(-1, -1 + 4), B''''(-2, -3 + 4), C''''(-5, -3 + 4), and D''''(-4, -1 + 4)

A''''(-1, 3), B''''(-2, 1), C''''(-5, 1), and D''''(-4, 3), which are the coordinates of the image;

A''''(-1, 3) ⇔ C(-1, 3)

B''''(-2, 1) ⇔ D(-2, 1)

C''''(-5, 1) ⇔ A(-5, 1)

D''''(-4, 3) ⇔ B(-4, 3)

Therefore, the series of transformation that would carry parallelogram ABCD onto itself are;

The complete question is:

What series of transformations would carry parallelogram ABCD onto itself?

(x + 0, y − 6), 180° rotation, (x − 2, y − 2)

(x + 0, y − 6), 90° clockwise rotation, (x − 2, y − 2)

(x + 6, y + 0), 180° rotation, (x + 0, y + 4)

(x + 6, y + 0), 90° clockwise rotation, (x + 0, y + 4)

To learn more about series of transformations refer to:

https://brainly.com/question/4289712

#SPJ4

The figures after each reflection are given at the end of the answer.

The rule for the reflection over the x-axis is:

(x,y) -> (x, -y)

Hence the signal of the y-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(0,-2), B'(1,3) and C(2,-4)

The rule for the reflection over the x-axis is:

(x,y) -> (-x, y)

Hence the signal of the x-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(2,-4), B'(-6,2) and C'(-3,-5)

The rule for the reflection over the line y = -2 is:

(x,y) -> (x, y +/- constant)

The constants for each point are given as follows:

More can be learned about reflections at https://brainly.com/question/27224272

#SPJ1