When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 minutes doing her chores. Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished her homework?

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

Answer:

  (d)  22

Step-by-step explanation:

For numbers of days above 19, the fine is constant. The answer choice that is above 19 is 22. For 22 days overdue, the fine will be the same as for 21 days overdue: $10.

 22 could be the number of days

Answer:

D. 22

Step-by-step explanation:

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

Step-by-step explanation:

\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)

\(46x +(56x)y \\ = (100x)y \\ = 100xy\)

Answer:

2x(23+28y)

Step-by-step explanation:

2x.23=46x 2x.28y=56x but 46x+56xy

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

Step-by-step explanation:

Hello,

qop(2)=q(p(2))

p(2) = 4+3=7

\(q(7) = \sqrt{7+2}=\sqrt{9}=3\)

so

qop(2)=3

and poq(2)=p(q(2))

\(q(2)=\sqrt{2+2} = \sqrt{4}=2\)

p(2) = 7

so poq(2)=7

thanks

The answer is "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)" and the further explanation can be defined as follows;

Given:

\(\to \bold{p(x)=x^2+3}\\\\\to \bold{q(x)=\sqrt{x+2}}\)

Find:

\(\bold{(q \circ p)(2)=?}\\\\\bold{(p \circ q)(2)=?}\)

Solve the value for \(\bold{(q \circ p)(2)}\\\\\):

\(\to \bold{(q \circ p)(2)= q \circ p(2) =q(p(2))}\\\\\)

\(\therefore\\\\ \to \bold{p(2)=2^2+3= 4+3=7}\\\\\ \because \\\\ \to \bold{q(p(2))=\sqrt{7+2}=\sqrt{9}=3}\)

Solve the value for \(\bold{(p \circ q)(2)}\\\\\):

\(\to \bold{(p \circ q)(2)= p \circ q(2)= p (q(2))}\\\\\)

\(\therefore\\\\ \to \bold{q(2)=\sqrt{2+2}=\sqrt{4}=2}\\\\\ \because \\\\ \to \bold{p(q(2))=2^2+3= 4+3=7}\)

Therefore the final answer of "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)"

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The radius of the sector is 3cm and the central angle is approximately 70.53 degrees.

Now, we are given the length of the arc of the sector, which we can call "l", and the area of the sector, which we can call "A".

To find the radius, we can use the formula:

r = (l/2π) x circumference

where π (pi) is a mathematical constant approximately equal to 3.14. The circumference is the distance around the circle, which we can find using the formula:

circumference = 2πr

Combining these two formulas, we can solve for the radius:

r = (l/2π) x 2πr

r = l/2

So, the radius of the sector is half of the length of the arc. In this case, the length of the arc is given as 6cm, so the radius is:

r = 6/2

r = 3cm

Now, let's find the central angle. We can use the formula:

central angle = (area/circle area) x 360 degrees

The circle area is given by the formula:

circle area = πr²

Substituting the value of radius we obtained earlier, we can calculate the circle area as:

circle area = π(3)²

circle area = 9π

The area of the sector is given as 15cm². So, we can substitute the values of area and circle area in the formula for central angle to get:

central angle = (15/9π) x 360

central angle ≈ 70.53 degrees

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Answer:

don't know..I am not fully understand.

can u please bhut other example

Answer:

Perimeter with brackets is: \(\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}\)

perimeter without brackets is:

\(\mathbf{Perimeter = 4t+28}\)

Step-by-step explanation:

We need to write two expressions for the perimeter of given shape, one with brackets and one without.

Length of side of shape = t+7

The formula used to find perimeter is: \(Perimeter = Sum\: of\: all\: sides\)

Since the shape has 4 sides, we get:

\(Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\)

So, perimeter with brackets is: \(\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}\)

Now, finding perimeter without brackets:

\(Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\\Perimeter = t+7+t+7+t+7+t+7\\Combining\:like\:terms:\\Perimeter=t+t+t+t+7+7+7+7\\Perimeter=4t+28\)

So, perimeter without brackets is:

\(\mathbf{Perimeter = 4t+28}\)

The expected value for Janelle on a roll in this game is $0.17.

To find the expected value of Janelle's bet, we need to take into account the possible outcomes and their probabilities.

Let's start by calculating the probability of winning and losing:

Probability of winning: 1/36 (there is only one way to roll an 8 out of 36 possible outcomes)

Probability of losing: 1/6 (there is one way to roll a 7 out of six possible outcomes)

We can also calculate the probability of neither winning nor losing, which is 29/36 (the remaining outcomes are any other number besides 7 and 8).

Now we can calculate the expected value as follows:

Expected value = (Probability of winning x Amount won) - (Probability of losing x Amount lost) + (Probability of neither winning nor losing x Amount neither won nor lost)

Expected value = (1/36 x $6) - (1/6 x $5) + (29/36 x $0)

Expected value = $0.17

Therefore, the expected value for Janelle on a roll in this game is $0.17.

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Answer:

44 m2

Step-by-step explanation:

The area of the rhombus can be divided into 4 equal triangles.

The area of one triangle is A=bh/2

so:

A = 5.5*2

A = 11 squared m

Since there are four (4) triangles in the rhombus we just need to multiply 11 by 4 so:

A = 11 * 4

A = 44 squared m

Answer:

The other factor is 12⇒ A

Step-by-step explanation:

The factors of a number are all the numbers multiplied to form this number

Examples:

The factors of 12 are 1, 2, 3, 4, 6, 12 because

1 × 12 = 12

2 × 6 = 12

3 × 4 = 12

∵ The product of numbers = 1236

∵ One factor of that number is 103

∴ ------ × 103 = 1236

→ Divide the number by its factor to find the other number

∴ 1236 ÷ 103 = -------

∵ 123 ÷ 103 = 1 R 20

∵ 206 ÷ 103 = 2

∴ 1236 ÷ 103 = 12

∴ The other factor is 12

Answer:2.5,21,166,1132

Step-by-step explanation:

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

C

Step-by-step explanation:

The unit rate for this line is when the x value is 1. The unit rate is 1 : 0.5.

I Hope That This Helps! :)

Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

I am guessing you are talking about Option 3. They start with $125. So they times it by 1.25 as we are using the multiplier method. So in the First month, it will be 156.25. Second it will be 195.3125. So in August it will be $476.837157. Of couse round it and you will get $476.84.

I believe there is a more efficent way of doing this but I have forgotten.

The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)

The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:

n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.

In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:

n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.

Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.

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Answer:

  y = -1/2n +40

Step-by-step explanation:

We are given two ordered pairs (stalks, ounces) and asked for the slope-intercept form equation of the line through them.

The slope of the desired line can be found from the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points (30, 25) and (32, 24), the slope is ...

  m = (24 -25)/(32 -30) = -1/2

The y-intercept of the desired line can be found from the formula ...

  b = y -mn

  b = 25 -(-1/2)(30) = 25 +15 = 40

The slope-intercept equation of a line is ...

  y = mn +b . . . . . line with slope m and y-intercept b

  y = -1/2n +40 . . . . . . line with slope -1/2 and y-intercept 40

The linear relationship between stalks (n) and yield (y) is ...

  y = -1/2n +40

The average speed of the bike is calculated as: 15.67 mph

The formula for the average speed is:

Average speed = Distance/Speed

We are given the parameters as:

Time = 180 minutes = 3 hours

Distance = 47 miles

The average speed is defined as the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

Thus:

Average speed = 47/3

= 15.67 mph

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Answer:

Step-by-step explanation:

Given system:

Divide the first equation by 2 and rearrange:

We got the same equation with the second one. It means we have two of the same lines overlapping.

This gives us infinitely many solutions.

Answer:

52

Step-by-step explanation:

4 1/2 x + 2x

Let x = 8

4 1/2 (8) + 2(8)

Change to an improper fraction

9/2(8) +2(8)

36+16

52

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

that's correct.

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

The proportion equivalent with Two-thirds would be 6/9.

Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the  proportion with Two-thirds

If you actually divide it’ll make since , so first  we want to divide the 2 , then you want to multiply the third of the two

2/3 x 3/3

6/9

thus, the answer will be 6/9.

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