A pizza shop charged $49.57 for 3 large pepperoni pizzas. This price included a $2.50 delivery fee.

What was the price of a large pepperoni pizza?

Enter your answer in the box.


$______

The money in the account will be $252.

For simple interest, use the formula:

I = Prt

where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.

P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:

I = Prt = ($200)(0.052)(5) = $52

The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:

Total = $200 + $52 = $252

Therefore, after five years, the account will have $252.

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Answer:

You will need 7 vans and 4 buses

Step-by-step explanation:

7 vans would take care of 35

4 buses would take care of 140 kids

and it uses a total of 11 vehicles

Hope this helps  

Answer:

Vans = 7

Buses = 4

Step-by-step explanation:

x = vans

y = buses

x + y = 11                           (1)

5x + 35y = 175                 Divide this equation by 5

x + 7y = 35                       (2)  

============

                                        Subtract (1) from (2)

x + 7y = 35

x +  y =   11

     6y = 24                      Divide by 6

     6y/6 =24/6

       y = 4

===========

x + y = 11

x + 4 = 11

x = 11 - 4

x = 7

Now Let's check it

x is the number of vans which holds 5 students each

7 * 5 = 35

y is the number of buses which holds 35 students each

4 * 35 =140

Total number of students = 35 + 140 = 175

So it checks.

The consequence of a type II error can be conclude that option (c) has no effect when it really does concluding that a treatment

A Type II error is a statistical error that occurs when a null hypothesis is not rejected when it should be. Specifically, it is when a researcher concludes that there is no effect of a treatment when there actually is one. This error can have serious consequences, as it may result in missed opportunities to implement effective treatments or interventions.

To minimize the likelihood of Type II errors, researchers can increase the sample size or adjust the statistical significance level of the test. Overall, it is important to be aware of the potential for Type II errors and to take steps to minimize their occurrence.

Therefore, the correct option is (c) has no effect when it really does concluding that a treatment

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The given question is incomplete, the complete question is:

what is the consequence of a type ii error? group of answer choices concluding that a treatment

a) has an effect when it really does concluding that a treatment b) has an effect when it really has no effect concluding that a treatment c) has no effect when it really does concluding that a treatment d) has no effect when it really has no effect

The amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza this month is $15.

The monthly cost for x slices of pizza is $25 + $1.5x

In order to determine the amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza can be determined by multiplying the cost per pizza by the number of pizzas sold.

Multiplication is the operation used in mathematics that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Cost of 12 slices of pizza = discounted price x number of slices bought

$1.25 x 12 = $15

The monthly cost is the sum of the membership fee and the total cost of the pizzas bought

Monthly cost = monthly membership fee + cost of the slices

Monthly cost = monthly membership fee + (discounted price x number of slices bought)

$25 + (1.25 x x)

$25 + $1.25x

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Answer:

q

Step-by-step explanation:

a

Answer:

Step-by-step explanation:

The number of students will decrease to 355,000 after 6.4 years based on the stated rate of decrease.

The formula to be used for calculating the number of years is -

A = P \( \times { (1 - r)}^{t} \), where a will be the final number of students, p will be the initial number of students. R will be percentage decrease or rate of decrease and t will be the year.

Keep the values in formula

355,000/397,000 = { (1 - 1.5%)}^{t} \)

Divide on Left Hand Side and subtract on Right Hand Side

0.89 = \( { (0.985)}^{t} \)

Taking log on both sides of the equation

log 0.89 = t log 0.985

t = log 0.89/log 0.985

Divide the logarithm values

t = 7.4 years

Hence, it will take 7.4 years.

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1.1.1 Short-term investment: An example of a short-term investment is investing in a 3-month Treasury bill. These are government-issued debt securities with a maturity of less than one year, providing a relatively low-risk investment option with a fixed interest rate.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a maturity of 5 years. Corporate bonds offer a higher yield compared to government bonds, making them suitable for investors with a moderate risk appetite seeking stable income over a longer time horizon.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. Stocks represent ownership in a company and have the potential for higher returns over an extended period, although they also involve higher risk.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. These bonds pay a fixed interest rate over the bond's duration, providing a predictable stream of income for the investor.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. The mortgage payment remains constant throughout the loan term, typically spanning several years, and includes both the principal repayment and the interest charged by the lender.

1.1.1 Short-term investment: A short-term investment option is the 3-month Treasury bill. Treasury bills are considered low-risk investments issued by the government, and they offer a fixed interest rate that is determined through an auction process. Investors can purchase Treasury bills directly from the government or through a broker.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a 5-year maturity. Corporate bonds are issued by companies to raise funds, and they pay a fixed interest rate to bondholders over the bond's duration. The bond's yield and risk profile depend on the creditworthiness of the issuing company.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. A diversified portfolio consists of a mix of stocks from different sectors and regions, spreading the risk across multiple companies. The goal is to achieve long-term capital appreciation and potentially earn dividends from the stocks held in the portfolio.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. Government bonds are issued by national governments to finance their operations. The bond's interest rate is fixed at the time of issuance, and the investor receives periodic interest payments until the bond reaches maturity, at which point the principal amount is returned.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. When purchasing a property with a mortgage loan, the borrower agrees to make fixed monthly payments that include both the principal repayment and the interest charged by the lender. The monthly payment amount remains constant throughout the mortgage term, typically ranging from 15 to 30 years.

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The answer is: ℎ′(2) = 21 using inverse logic for the given question.

To find ℎ′(2), we first need to find the slope of the tangent line to the graph of ℎ() at the point where = 2. We can use a table of values to do this.

To create a table of values, we choose some values of and calculate the corresponding values of ℎ(). Let's choose a few values of  close to 2:

= 1.8: ℎ(1.8) = 3(1.8) - 23 = -17.4
= 1.9: ℎ(1.9) = 3(1.9) - 23 = -16.3
= 2.0: ℎ(2.0) = 3(2.0) - 23 = -15
= 2.1: ℎ(2.1) = 3(2.1) - 23 = -13.9
= 2.2: ℎ(2.2) = 3(2.2) - 23 = -12.8

Now, we can use these points to estimate the slope of the tangent line at = 2. Specifically, we can use the difference quotient:

[ℎ(2+h) - ℎ(2)]/h

where h is a small number (in this case, h = 0.1). Plugging in the values from our table, we get:

[ℎ(2.1) - ℎ(2)]/0.1 = (-13.9 - (-15))/0.1 = 21

This means that the slope of the tangent line to the graph of ℎ() at = 2 is approximately 21. Therefore, we have:

ℎ′(2) = 21

So, the answer is: ℎ′(2) = 21 in inverse case.

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The 90 %confidence interval for the mean waste recycled per person per day for the population of Texas is (0.9, 1.5)

We will solve the problem in the following way,

Let us first assume that the population of Texas is approximately normal.

We will then find the critical value that will be used in constructing the confidence interval.

We have been given the following values:

The sample mean waste recycled per person per day= x'= 1.2 pounds

The sample Standard Deviation= s= 0.99 pounds

The sample size of residents of the state of Texas= n= 24 residents

The significance level= α= 0.1

The critical value that we get is t' = 1.714

Now we will calculate the Standard Error.

The formula for Standard error is

Error= \(\frac{s}{\sqrt{n} }\)

Substituting the values we know, we get

Error = \(\frac{0.99}{\sqrt{24} }\)

Error = 0.2021

Now we will calculate the margin of error

The formula for the Margin of error is

Margin= \(t' *\)\(\frac{s}{\sqrt{n} }\)

Substituting the known values, we get

margin= 1.714*0.2021

margin= 0.3463

Now we will calculate the lower limit and upper limit

Lower limit= x' - margin of error

= 1.2 - 0.3463

= 0.9

Upper limit = x' + margin of error

= 1.2 + 0.3463

=1.5

The 90% confidence interval is (0.9, 1.5) or 0.9 ≤ μ ≤ 1.5

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9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  \(a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}\)

(a) H'(6) is the rate of change of the height of the tree at time t=6, which is the slope of the line tangent to the graph of H(t) at that point. Using the data in the table, we can estimate H'(6) to be 3.2 meters per year. This means that, at t=6, the height of the tree is increasing at a rate of 3.2 meters per year.

(b) H'(t) is the rate of change of the height of the tree at time t. Since H'(t) is twice-differentiable, it is continuous and can take any value between its minimum and maximum values. Therefore, there must be at least one time t, for 2 < t < 10, such that H'(t) = 2.

(c) To approximate the average height of the tree over the time interval 2 ≤ t ≤ 10, we can use a trapezoidal sum with the four subintervals indicated by the data in the table. We have:

Therefore, the average height of the tree over the time interval 2 ≤ t ≤ 10 can be approximated by the trapezoidal sum:

(10 + 14 + 18 + 22) × (2 + 2 + 3 + 3) / 8 = 196/8 = 24.5 meters.

(d) According to the given model, G(x) = 100x/(1+x), if the tree is 50 meters tall, then the diameter of the base of the tree is x = 2, and the rate of change of the height of the tree with respect to time, in meters per year, is given by G'(2) = 100(1 - 2)/(1 + 2)² = -100/9. Therefore, the rate of change of the height of the tree with respect to time, in meters per year, at the time when the tree is 50 meters tall is -100/9 meters per year.

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Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

B

Step-by-step explanation:

Answer:

The points A,B, and C are collinear, so both segments AB and AC form one straight line.

Since segments AB and AC have a common point A so they form an angle BAC

Answer:

Step-by-step explanation:

3 x 4= 12 -5 = 7 + 4 = 11

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer:

Darryl's TV is larger by 200 inches2

Step-by-step explanation:

Darryl's tv is 30*40 = 1200 inches2

Terrence's tv is 20*50 = 1000 inches2.

Answer:

? whats the number your multiplying by

Step-by-step explanation:

Answer:

-12.5

Step-by-step explanation:

Hope it helps

FOLLOW MY ACCOUNT PLS PLS

Answer:

12 miles

Step-by-step explanation:

The total number of soda cans on Carrie’s head are 4.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Carrie’s head is full of curlers. There are 16 in all. One-fourth of the curlers are pink. There are twice as many green curlers as pink ones. The rest are soda cans.

Assume the number of pink curlers be {x}. So, we can write -

x = (1/4) x 16 = 4

x = 4                          .... (1)

The number of green curlers {y}, will be -

y = 2x = 2 x 4 = 8

y = 8                           ..... (2)

The number of soda cans {s} remaining -

16 - ({x} + {y}) = 16 - 12 = 4

{s} = 4                                 ...... (3)

Therefore, the total number of soda cans on Carrie’s head are 4.

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Answer:

x = 5, x = 7

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² - 12x + 35 = 0 ( subtract 35 from both sides )

x² - 12x = - 35

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 35 + 36

(x - 6)² = 1 ( take the square root of both sides )

x - 6 = ± \(\sqrt{1}\) = ± 1 ( add 6 to both sides )

x = 6 ± 1

then

x = 6 - 1 = 5

x = 6 + 1 = 7

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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Answer:

\(y = \frac{2}{3} \)

\(x = 14\)

Step-by-step explanation:

I added a photo of my solution (I assume you made a mistake in the exercise, because it had to be x = 3y + 12, or maybe I'm wrong...)

Answer:

4 :)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane XYZ is 84

The term iterated triple integrals means the result of applying integrals to a function of more than one variable (for example or ) in a way that each of the integrals considers some of the variables as given constants.

Here we have to write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane XYZ and then we have to evaluate the first integral.

Here in this case we will integrate with respect to y first.

Therefore, the iterated integral that we need to compute is,

∬6xy²dA=∫⁴₂∫₁²6xy²dydx

When we per the first stage integral, then we get,

=> ∫⁴₂ (2xy³)₁²dydx

When we expand it then we get,

=> ∫⁴₂ [16x - 2x] dx

=>  ∫⁴₂ 14x dx

Then we further integrate this one, then we get.,

=>  ∫⁴₂ 14x dx = [7x²]₂⁴

=> [7(4)² - 7(2)²]

=> 112 - 28

=> 84

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There are many answers we could go with here. One such answer could be the following:

You are 6 meters below the ocean surface doing a deep sea dive. This is represented by -6. Then going up 6 meters means you'll add on 6 to say (-6)+6 = 0, showing that you are at the 0 meter height, aka sea level.

---------------------------------

Another possible answer could be this:

You are 6 dollars in debt. Debt is represented with negative numbers. You then somehow get 6 dollars in which you use to pay off that debt. Your balance is now (-6) + 6 = 0 dollars.

---------------------------------

Another possible answer could be this:

Walking to the left is defined as moving in a negative direction. So -6 could mean we've moved 6 feet to the left. On the flip side, +6 means we move 6 feet to the right. The two cancel each other out (-6)+6 = 0 which says at the end of the day, we haven't moved anywhere. In other words, our displacement is 0 feet.

-----------------------------------

I'm sure there are other more creative ways to answer this question, but those three ideas above are good possible starting points.

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer:

C. no

Step-by-step explanation:

Answer:

\(y(y + 5) + 6(y + 5) \\ = (y + 6)(y + 5)\)

Answer:

\(→y(y + 5) + 6(y + 5) \\ = \boxed{ (y + 5)(y + 6)}✓\)