solve for p. 2P+7=15 solve for p.

Okay so we have 18 ppl we want 4 cookies per person

in one batch we can make 24

first multiple 18 by 4 or vice versa

answer is 72

now divide 72 by 24

answer is 3

we need 3 batches to make 4 cookies per person

Answer:

A) 30 x ? = ? + 25 = ?.

B) 30 x 4 = 120.  120 + 25 = 145.

Answer: The answer is $145 to rent the skis for four hours.

Answer: No.

Step-by-step explanation:

3 x 5 = 15,

but 10 x 5 = 50.

In order for the ratios to be equivalent, they would have to be written like this:

3/10 = 15/50

Therefore, it is not equivalent.

Hope this helps!

Answer:

3.25c + 3c^2 - 2.25.

Step-by-step explanation:

c(4+3c) - 0.75(c+3)

Distribute “c” through the parentheses

4c + 3c^2 - 0.75(c+3)

Distribute “-0.75” through the parentheses

4c + 3c^2 - 0.75c - 2.25

Collect like terms and your answer is

3.25c + 3c^2 - 2.25.

The correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

In this question, a triangle is dilated by a factor of 2 and then rotated clockwise.

We need to select the correct statement about the triangle's image and pre-image.

We know that rotation is a rigid transformation but dilation is not a rigid transformation.

Dilation does not preserve the size of the image.

Also, the image and pre-image are not congruent as the corresponding sides of triangle's image and pre-image are not equal.

Therefore, the correct statement about the triangle's image and pre-image is 'the image and pre-image are not congruent because one of the transformation is rigid transformation and the other is not.'

The correct answer is an option (1)

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Answer:

f(-4) = 19

Step-by-step explanation:

Since -4 < 1, we need to use the bottom part of the function:

[tex]f( - 4) = {( - 4)}^{2} + 3 = 16 + 3 = 19[/tex]

Answer: 32/139

Step-by-step explanation:

42+45+20+32=139

32/139

An irrational number that lies between the two given ones, 0.6333.... and 0.64 is:

√7 - 2.01 =0.63575...

Remember that an irrational number is a number that can't be written as the quotient between two integers.

Here we want to find two numbers between 0.6333 (where the 3 repeats infinitely) and 0.64

So we cold try to find a number like:

6.3349412490184...

Such that there is no pattern (because if there were a pattern, it would not be an irrational number).

An example of this can be, for example:

√7 = 2.64575...

This is an irrational number.

Now, if we subtract 2.01 from that we will get:

√7 - 2.01 = 2.64575... - 2.01 = 0.63575...

This is an irrational number and lies between the two given ones, then we conclude that √7 - 2.01 =0.63575... is a correct option.

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Answer:

The new company’s train is C. 15.2 miles faster.

Step-by-step explanation:

Train A: 228/3 = 76 miles per hour

Train B: 228/2.5 = 91.2 miles per hour

91.2 - 76 = 15.2

Answer:

£30

Step-by-step explanation:

Percentage = Division

24 × 25% or 24 ÷ 4

= 6

6 + 24

= 30

The proportion of slots who meet these specifications is 15.86%.

We are given that the width in inches of slots cut by a milling machine follows approximately the N(0.97,0.001) distribution.

Also, the specifications allow slot widths between 0.9698 and 0.9702

Let X = width in inches of slots cut by a milling machine

The z-score probability distribution for normal distribution is given by;

Z =  (X - μ) /σ  ~ N(0,1)

where, μ = population mean width = 0.97

           σ  = standard deviation = 0.001

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the specifications allow slot widths between 0.9698 and 0.9702 is given by = P(0.9698 < X < 0.9702)

=  P(0.9698 < X < 0.9702)  = P(X < 0.9702) - P(X  0.9698)

P(X < 0.9702) = P  [(X - μ) /σ < [tex]\frac{0.9702 - 0.97}{0.001}[/tex]] = P (Z < 0.2) =

P(X ≤0.9698) = P [(X - μ) /σ ≤  [tex]\frac{0.9698 - 0.97}{0.001}[/tex] ] = P (Z ≤ -0.2) = 1-  P(Z < 0.2)

                                                                                  = 1 - 5793 = 0.4207

So, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.2 in the z table which has an area of 0.5793.

Therefore,  P(0.9698 < X < 0.9702) = 0.5793 - 0.4207 = 0.1586

Hence, the proportion of slots who meet these specifications is 15.86%.

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Answer: B. (15)

Y= -[tex]\frac{3}{1}[/tex]x + 15

Step-by-step explanation:

In the Table we see a f(x) decreasing by 3 for every 1 (x)

So we Have a Slope of -3(y) over 1(x)

Answer: 14 : 12

Step-by-step explanation:

Answer: 14:12

Step-by-step explanation: To find the ratio, you would either multiply or divide the two numbers by the same number, and you would get a simplified ratio or an equivalent one. Because 7:6 is simplified, we have to find an equivalent ratio, meaning we multiply. If we multiply 7 by two, we get 14. Multiply 6 by two to get 12. So, the answer is 14:12. Divide both 14 and 12 by two to get back to 7:6.

Answer:

The constant of proportionality is $1.80

y = 1.80x

Step-by-step explanation:

The constant of proportionality is $1.80

An equation that relates the total cost, y, and the number of lemons, x, is

y = 1.80x

where,

y =Total cost

x = number of lemon

When x = 4

y = 1.80x

y = 1.80(4)

y = 7.2

y = $7.2

When y = $4.20

y = 1.80x

4.20 = 1.80x

x = 4.20 / 1.80

x = 2 1/3

x = 2 1/3

When y = $9.00

y = 1.80x

9.00 = 1.80x

x = 9.00 / 1.80

x = 5

x = 5

When x = 18

y = 1.80x

y = 1.80 × 18

y = 32.4

y = $32.4

The value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

A straight line of the form  y = MX + c has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have a negative slope. The horizontal line has 0 slopes and the vertical line has an infinite slope, as it is now at maximum steepness.

We have been given the equation cx+4y=12 which has a slope of  8.

Also cx+4y=12

4y = 12 - cx

y = 12/4 - cx/4

y = 3 - cx/4

Then we know that straight line of the form  y = mx + c

By comparing the formula;

y = 3 - cx/4

Slope = c/4 = 8

c/4 = 8

c = 8(4)

c = 32

Therefore, the value of c in the equation cx+4y=12 would give the equation a slope of 8 would be 32.

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Answer:

D) 116

Step-by-step explanation:

Supplementary angles add up to 180°

 ∠CDE + ∠FDE = 180

3x + 10 + 6x + 8 = 180

3x + 6x + 10 + 8 = 180

Combine like terms,

              9x + 18 = 180

Subtract 18 from both sides,

                    9x  = 180 - 18

                    9x = 162

Divide both sides by 9

                     x = 162 ÷ 9

                    [tex]\sf \boxed{\bf x = 18}[/tex]

∠FDE = 6x + 8

         = 6*18 + 8

         = 108 + 8

         = 116°

Answer:

- 8

Step-by-step explanation:

the coefficient is the numeric value, including the sign, in front of the variable.

4a - 8b + c

the coefficient of b is - 8

The maximum number of dresses that Amanda can send to be ironed is 8.

For the given question;

Total budget of Amanda = $100.

Price of washing = $8 per dress.

Price of ironing = $5 per dress.

Total number of dress to be washed = 7.

Let x be the number of dress to be send for ironing.

The inequality becomes.

5x + 7×8 ≤ 100

5x + 56 ≤ 100; is the required inequality.

For finding the x, equate the value.

5x + 56 ≤ 100

5x ≤ 44

x ≤ 8.8

But x must be less, then.

x = 8 dress.

Thus, the maximum number of dresses that Amanda can send to be ironed is 8.

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The complete question is-

Amanda wants to send her dresses to the laundry downstairs, and she wants to keep her cleaning within a budget of $100 . the laundry charges  $8 for washing one dress and for ironing one $5. write an inequality to describe the possible number of dresses that amanda can send to be washed and send to be ironed. if amanda has 7 dresses to be washed, what is the maximum number of dresses that she can send to be ironed? dresses (amanda can send to be ironed).

Answer : Transitive Property

If that's not correct, try Symmetric or substitution cause I know it's not reflexive

Using the rule for a dilation, it is found that:

1. The table with the coordinates is given by the first image.

2. The graph of the dilated triangle is given by the second image.

3. The rule is: (x,y) -> (1.5x, 1.5y).

When a figure is dilated by an scale factor of a, each vertex of the figure is multiplied by the scale factor of a, hence the rule is given by the following vector:

(x,y) -> (ax, ay).

The coordinates of the vertices of the pre-image are given as follows:

A(-2, -2), B(2,2), C(4, -2).

The dilation has a scale factor of 1.5, hence the rule for the calculation of each vertex of the image, considering the pre-image, is given as follows:

(x,y) -> (1.5x, 1.5y).

Then the vertices of the image will be given as follows:

A'(-3, -3), B'(3,3), C'(6, -3).

Each coordinate of A, B and C was simply multiplied by 1/2, and the triangle with these vertices is given by the second image at the end of the answer.

The problem is incomplete, and is given by the first image at the end of the answer.

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x = -14/9 is the solution to the equation ( 7x + 6 )/4 = ( 2x − 3 )/5 in a simplified improper fraction form.

Given the data in the question;

To solve for x, first we cross multiply

( 7x + 6 )/4 = ( 2x − 3 )/5

5( 7x + 6 ) = 4( 2x − 3 )

Remove the parenthesis using distributive property

7x×5 + 6×5 = 2x×4 − 3×4

35x + 30 = 8x - 12

Collect like terms by moving all terms containing x to the left and all constant terms to the right side of the equation.

35x - 8x = -12 - 30

27x = -12 - 30

27x = -42

Divide both sides by 27

27x/27 = -42/27

x = -42/27

x = -14/9

Therefore, the value of x in the given equation ( 7x + 6 )/4 = ( 2x − 3 )/5 is -14/9.

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Answer:

2/3

Step-by-step explanation:

The value of p when a = 16, b = 9 and c = 13 is 38

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

p = a + b + c

Substituting the values of a, b and c:

p = 16 + 9 + 13

p = 38

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36ft^2 square feet of outdoor carpet we will need for this hole.

Big square: Length = 6 ft ; Width = 4 ft

Small square: Length = 6 ft ; Width = 2 ft

Area = L x W

Big square: 6 * 4 = 24 ft^2

Small square: 6 * 2 = 12ft^2

On adding both, we get

Total area = 24 + 12 = 36ft^2

36ft^2 square feet of outdoor carpet we will need for this hole.

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If Stacy works alone, it will take her 11 hours 40 minutes to paint the doghouse.

If Diego works alone, it will take him 5 hours 40 minutes to paint the doghouse.

given data

Diego and Stacy can paint a doghouse in 5 hours

Diego works twice as fast as Stacy

Let x be the number of hours it would take Diego to paint the doghouse and y be the number

Putting the given information mathematically

Diego and Stacy can paint a doghouse in 5 hours

Diego works twice as fast as Stacy

x + y = 5hours

Since x = 2y

2y + y = 5

3y = 5

y = 5/3

y = 1 1/3

from x = 2y

x = 2 * 5/3

x = 10/3

x = 3 1/3

1/3 hours is a fraction of hours. we convert it to minutes by multiplying by 60

= 1/3 * 60

= 20 minutes

Therefore it will take Diego 3 hours 20 minutes and Stacy 1 hour 20 minutes for them to complete a 5 hours work

If Diego works alone

Diego alone = 5 hours + Stacy's hours * 1/2

since Diego is twice faster than Stacy then Stacy's time will be halved

Diego alone = 5 hours + 80 minutes * 1/2

Diego alone = 5 hours + 40 minutes

Diego alone = 5 hours 40 minutes

if Stacy works alone

Stacy alone =  5 hours + Diego's hours * 2

Stacy alone =  5 hours + 3 hours 20 minutes * 2

Stacy alone =  5 hours + 6 hours 40 minutes

Stacy alone = 11 hours 40 minutes

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The equation of an ellipse with center, (h, k) that is elongated in the x-direction is: (x - h)²/a² + (y - k)²/b² = 1.

In aspects of locus, an ellipse is the collection of every point on an XY-plane with whom the distance from 2 fixed points (called foci) adds up to the a constant value.

The standard form of equation of ellipse with centres (h, k) that is elongated in the x-direction is given as;

(x - h)²/a² + (y - k)²/b² = 1

Now, when the centre of the ellipse coincides with the origin of coordinates axis, the becomes;

x²/a² + y²/b² = 1

Thus, the equation of ellipse of obtained.

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Answer:

Shark 4

Step-by-step explanation:

It has the lowest value

The probability that the web site has fewer than 5 million visitors in a single day is 0.7293.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 5 million

μ = mean = 4.56 million

σ = standard deviation = 720,000

z-score = (5 million - 4.56 million) / 720,000

z-score = 440,000 / 720,000

z-score = 0.6111

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score =  0.6111

Using interpolation of values,

probability = 0.7293

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Answer:

I believe the answer is 6:12. . .

Step-by-step explanation:

I think that 7:14 equals 1:2 in its simplest form. 6:12 also is equivalent to 1:2. 1:2 = 1:2.