twelve hungry teenagers can devour a very large pizza in $20$ minutes. how many teenagers would it take to finish a very large pizza in $15$ minutes? (assume that all teenagers eat pizza at the same rate.)

Solution:

Let the score for the seventh test be represented below as

The mean score t be attained after the sevent tests is

The scores from the 6 tests are given below as

To figure out the seventh score, we will do the calculation below

Hence,

The final asnwer is

Answer:

5e?

Step-by-step explanation:

so if i help let me know this please

[tex]22e - 5e - 8e - 4e = 5e[/tex]

The equation of the line is y = x - 8 which passes through the point  (13,5) with slope 1.

We have to determine the equation of a line that passes through the point (13,5) with slope 1.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

The required line passes through the point (13, 5)

Here x₁ = 13 and y₁ = 5 and m = 1

Substituting these inputs into the above equation obtains the line equation.

⇒ y - 5 = (1)(x - 13)

⇒ y - 5 = (x - 13)

⇒ y = x - 13 + 5

⇒ y = x - 8

Thus, the equation of the line is y = x - 8 which passes through the point (13,5) with slope 1.

Learn more about the Lines here:

brainly.com/question/14511992

#SPJ1

The value of the coordinates of the median AM is (0.5, -1.5)

Given: A(0,1), B(1, -4), C(5,2)

Consider the image attached:

The distance AM is the midpoint of the distance AB. So we can use the midpoint formula:

Xm = (Xa + Xb) /2 and Ym = Ya + Yb/2

Where Xm and Ym are the x and y coordinates of the midpoint M

SInce A(0,1): Xa = 0, Ya = 1

Also B(1, -4);  Xb = 1, Yb = -4

Xm = 0 + 1/2 = 1/2 = 0.5

Ym = 1 + (- 4)/2  = -3/2 = -1.5

Therefore, the coordinates of the median AM is (0.5, -1.5)

Learn more about midpoint a line on:

https://brainly.com/question/28462165

#SPJ1

The given calculation, -3+1-7- (-4)+10, can be rewritten as (1+4) so that it only involves addition and the result is 5.

According to the question,

We have the following expression:

-3+1-7- (-4)+10

Now, we have to remove all the negative signs from this expression.

So, we will first solve this expression to the step where we have only addition.

Now, we know that the multiplication of two negative integers is always positive.

-3+1-7+4+10

Adding the numbers with the negative sign:

-10+10+1+4

1+4

5

Hence, -3+1-7- (-4)+10 can be rewritten as (1+4) so that it only involves addition and the result is 5.

To know more about addition here

https://brainly.com/question/14092461

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

The scientist was 83.5 feet below sea level while studying ocean life.

Given that:-

Distance the scientist ascended after studying the ocean life = 61.9 feet

Distance below sea level the scientist is after ascending = 21.6 feet

We have to find the distance by which the scientist was below sea level while studying the ocean life.

We know that,

Distance by which the scientist was below sea level while studying the ocean life = Distance the scientist ascended after studying the ocean life + Distance below sea level the scientist is after ascending

Hence, we can write,

Distance by which the scientist was below sea level while studying the ocean life = 61.9 + 21.6 = 83.5 feet.

To learn more about Distance, here:-

https://brainly.com/question/15172156

#SPJ1

Answer:

Step-by-step explanation:

Find the number that makes the ratio equivalent to 3:5

6:10

9:15

12:20

Answer:

324 miles

Step-by-step explanation:

Set up a proportion

243

12

=

x

16

Cross multiply

12

x

=

3888

x=324 miles

(1) The system of inequalities that can be used to represent this situation is 1.25x + 2y > 375  and x+y ≤ 500 .

(2) The least number of chocolate covered almonds that must be sold to cover the cost of attending Beta convention is 126 .

In the question ,

Part(1)

let the number of chocolates be "x" .

let the number of chocolates with covered almonds be "y"

price of each chocolate bar = $1.25

price of each chocolate covered almonds = $2

Beta club needs more than $375

So , according to the question

1.25x + 2y > 375

and also the students can sell up to 500 bars and covered almonds altogether.

So , x+y ≤ 500 .

Part(2)

Given , the club sells 100 chocolate bars.

substituting x= 100 in the inequality 1.25x + 2y > 375  , we get

1.25(100) + 2y > 375

125 + 2y > 375

2y > 375-125

2y > 250

y > 125

least number of chocolate covered almonds to be sold is 126 .

Therefore , (1) The system of inequalities that can be used to represent this situation is 1.25x + 2y > 375  and x+y ≤ 500 .

(2) The least number of chocolate covered almonds that must be sold to cover the cost of attending Beta convention is 126 .

Learn more about Inequality here

https://brainly.com/question/21857626

#SPJ1

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

Answer: It will take 3.5-4 months

Step-by-step explanation:

The unit price in dollars per ounce is 0.5 dollars per ounce.

According to the question,

We have the following information:

Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.

Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:

Dollars per ounce = 26.40/52.8

Dollars per ounce of lemonade = 0.5

Now, we can also convert this into cent.

We know that 100 cent make 1 dollar.

So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.

Now, it will be 50 cents per ounce.

Hence, the units price of lemonade in dollar per ounce is 0.5.

To know more about unit price in dollars here

https://brainly.com/question/28547396

#SPJ1

The equivalent expression of the expression given as [tex]\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}[/tex] is (13 - 5x)/(2x - 8)

From the question, the expression is given as

[tex]\frac{\frac{3}{x - 2} - 5}{2 - \frac{4}{x - 2}}[/tex]

Take the LCM of the fractions in the above expression

So, we have

[tex]\frac{\frac{3 - 5x + 10}{x - 2}}{\frac{2x - 4 - 4}{x - 2}}[/tex]

Evaluate the like terms of the expressions

So, we have

[tex]\frac{\frac{13 - 5x}{x - 2}}{\frac{2x - 8}{x - 2}}[/tex]

Divide the common factor x -2 in the expression

So, we have

[tex]\frac{13 - 5x}{2x - 8}[/tex]

Rewrite as

(13 - 5x)/(2x - 8)

The expression cannot be further simplified

Hence, the solution is (13 - 5x)/(2x - 8)

Read more about equivalent expression at

https://brainly.com/question/15775046

#SPJ1

Step-by-step explanation:

Write 98 as the product of prime factors. Write the prime factors in ascending order.​

2 × 7 × 7

2 × 7 × 7 = 98

Answer: 2×7×7

Step-by-step explanation: 98= 2×7×7

Lets first know about what is prime factor :- A factor which is a Prime number and not a composite number.

prime factor in ascending order = 2,7

hence the required product of prime factor is 2×7×7 or 2×[tex]7^{2}[/tex]

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

1) To understand how that works, let me draw a number line:

If we only add positive numbers like 2 +3 = 5, 6+8 =14, etc. we'll only get a positive result (right to the zero) on the number line, we are moving to the right

2) If we add positive and negative numbers, for example:

2 +(-3) =2 -3=-1

0+(-1)= -1

6+(-2)= 4

On the number line, we are starting from one point and moving to the left.

Answer:

75

Step-by-step explanation:

15 + 2 × 30

Answer:

1320 seats.

Step-by-step explanation:

The given scenario can be modeled as an arithmetic series.

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

The first term is the number of seats in the front row.

Given that the number of seats in a row increases by 2 with each successive row, the common difference is 2.

The nth term is 30 since there are 30 rows in the theater.

Therefore:

Substitute the values into the arithmetic series formula and solve:

[tex]\implies S_{30}=\dfrac{1}{2}(30)[2(15)+(30-1)2][/tex]

[tex]\implies S_{30}=15[30+(29)2][/tex]

[tex]\implies S_{30}=15[30+58][/tex]

[tex]\implies S_{30}=15[88][/tex]

[tex]\implies S_{30}=1320[/tex]

Therefore, the total seating capacity of the theater is 1320 seats.

Answer: w<22

1. Group all constants on the right side of the inequality

2. Subtract  from both sides

3. Simplify the arithmetic

4. Simplify the arithmetic

Answer:

w < 22

Step-by-step explanation:

w + 2 < 24

Step 1 : Subtract 2 on both sides.

w + 2 - 2 < 24 - 2

           w < 22

Hence, simplified

Answer:

Step-by-step explanation: it is true because when the numerator and denominator both are positive integers both are negative integers it is a positive rational number.

Answer:

The only image with edges at the given coordinates is;

Given the figure in the attached image.

we want to identify the image after a translation;

Using one of the edges of the figure;

Applying the above translation we have;

The edge of the image would be at;

Therefore, the only image with edges at the given coordinates is;

Based on the dimensions of the shape, the area of the figure can be found to be 215 ft².

To find the area of the figure, you can divide the shape into two different shapes and then find the area of those shapes, and then sum them up to find the area of the entire figure.

As shown in the attached photo, you can divide the figure into two rectangles with the dimensions:

The areas are:

= 15 x 12

= 180 ft²

Second rectangle:

= 7 x 5

= 35ft²

The area of the figure is:

= 35 + 180

= 215 ft²

Find out more on area at https://brainly.com/question/11423300

#SPJ1

The required correct answer is,

The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset

i.e., Option d. is correct.

What is density curve ?

A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.

The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.

To learn more about density curve click here:

brainly.com/question/18345488

#SPJ4

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

Learn more about writing parabolic equations at:

https://brainly.com/question/28967554

#SPJ1

We can define the percent error as the difference between the estimated value and the actual value, divided by the actual value.

In this case, the estimated value (what Jimmy thought he had purchased) is 7 and the actual value is 6.

Then, the percent error is:

The percent error is 16%.

Answer:

x-intercept (-2,0)

y-intercept (0,-3)

Step-by-step explanation:

to find the x-intercept we set y=0

so 3x=-6

x=-2

to find the y-intercept we set x=0

so 2y=-6

y=-3

If the baseball diamond at a playground is a square with sides that measure 80 feet. About how long would a straight line be from home plate to second base is: B.113.1 feet.

Given data

Sides measure in feet = 80 feet.

Since the  diagonal tend to forms the hypotenuse of a right triangle with both sides of 80 feet

Hence,

Using the Pythagoreans theorem to determine the distance

(80)² + (80)² = x²

6400 + 6400 = x²

x² = 12,800

x = √ 12,800

x = 113.1 feet

Therefore the correct option is B.

Learn more about distance here: https://brainly.com/question/26046491

#SPJ1