six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch diameter pizza for 15.00. Both prices include tax and tip. The friends agree that their best choice is the one that gives them the most pizza for their money. which is the best choice?

Answers

Answer 1

For this question, we want to find out the greatest amount of area of pizza for the least amount of money:

So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.

The formula for area of a circle is [tex] \pi r ^2[/tex]; So the area for one of these 10 in. pizzas would be [tex] \pi (5)^2[/tex] or 25[tex] \pi [/tex].

We have two of these pizzas, so the total area that we would get with $14 would be 25[tex] \pi [/tex]*2 or 50[tex] \pi [/tex].

For the second case, we have one pizza with a 14 in. diameter.

The area of this pizza will be [tex] \pi (7)^2[/tex] or 49[tex] \pi [/tex].

So for $15 we can buy 49[tex] \pi [/tex] worth of pizza.

The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50[tex] \pi [/tex].

Related Questions

9/4x-1/2y =-3 x and y intercept form

Answers

9/4x - 1/2y = -3

Solve for y.

-1/2y = -3 - 9/4x
y = 6 + 4.5x

y intercept = 6

Solve for x.

9/4x = -3 + 1/2y
x = -1 1/3 + 0.2y

x intercept = -1 1/3

Final answer:

The x and y intercepts of the equation 9/4x - 1/2y = -3 are -4/3 and 6 respectively. These were calculated by separately setting the x and y to zero and solving for the other variable.

Explanation:

To find the x and y intercepts of the equation 9/4x - 1/2y = -3, we need to set each of the variables x and y to zero separately and solve for the other variable.

Set y = 0 in the equation for the x-intercept. This gives us 9/4x = -3, and solving for x, we get x = -4*3/9 = -4/3.

For the b, set x = 0 in the equation. This gives us -1/2y = -3, and solving for y, we get y = 2*3 =6.

So the x-intercept and y-intercept of the equation are -4/3 and 6 respectively.

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Suppose a ⊆ c, and b and c are disjoint. prove that if x ∈ a then x ∈/
b.

Answers

If [tex]x\in A[/tex], then clearly [tex]x\in C[/tex]. We're given that [tex]B[/tex] and [tex]C[/tex] are disjoint, so no element in [tex]C[/tex] is also in [tex]B[/tex]. This means [tex]x\not\in B[/tex].

Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%. If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?

Answers

The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.

For these types of problems, the equations of the form should be considered:
y = A * (B) ^ t
Where:
A: initial population.
B: annual exchange rate.
T: Time in years.
Then the equations of the system that must be used to find the time in which both are equal are:
1, 3,00,000 * (1-0,038) ^ t for the type of insect A
2, 1 00 000 * (1-0,046) ^ t for the type of insect B.

Find the value of x when 5-x=1/2x+4

Answers

[tex]5-x=\dfrac{1}{2}x+4\ \ \ |-5\\\\-x=\dfrac{1}{2}x-1\ \ \ \ |-\dfrac{1}{2}x\\\\-1\dfrac{1}{2}x=-1\\\\-\dfrac{3}{2}x=-1\ \ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\x=\dfrac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

You collect old coins. today, you have two coins each of which is valued at $100. one coin is expected to increase in value by 5.2 percent annually while the other coin is expected to increase in value by 5 percent annually. what will be the difference in the value of the two coins 25 years from now?

Answers

The coin increasing in value by 5.2% will be valued at $230, and the coin increasing by 5% will be valued at $225. They will have a $5 difference

HELP ME PLEASE!! ASAP!!

Estimate the size of a crowd at an outdoor concert venue that occupies a rectangular space with dimensions of 300 feet by 500 feet (to the nearest whole number). Assume that 5 people occupy a square measuring 5 feet by 5 feet.

A. 15,000 people
B. 20,000 people
C. 25,000 people
D. 30,000 people

Answers

The total area is given by:
A1 = (300) * (500)
A1 = 150000 feet ^ 2
The area occupied by 5 people is:
A2 = (5) * (5)
A2 = 25 feet ^ 2
Then, we can make the following rule of three:
5 --------> 25
x --------> 150000
Clearing x we have:
x = (150000/25) * (5)
x = 30000
Answer:
D. 30,000 people

Isabella works at Baker's Book company. If she earned a commission of $63.75 on her sales of $850, what was Isabella's rate of commission?

Answers

Rate = 63.75/850=.075*100%= 7.5%

7.5% is Isabella's rate of commission.

If you need to see up direct deposit which information from your check would you likely need A. Check number B. Memo line C. Numerical amount D. Routing number

Answers

You'd need D. Routing Number

Hello there, and thank you for asking your question here on brainly.

Answer: If you need to see up direct deposit, the information you'd most likely need is your routing number.

Hope this helped you! ♥

Is -6.175 is an irrational number?

Answers

No.

Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
___
Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.

5n+5=45 what does n =

Answers

5n+5=45
Subtract 5 from both sides
5n=40
Divide both sides by 5
n=8

I hope this helps

find the lateral area of the prism 3m 6m 3m 6m 15m

Answers

To find the lateral area of a prism, we calculate the combined area of its vertical rectangular faces, excluding the top and bottom faces. This prism has dimensions of 3m x 6m x 15m. It has two pairs of congruent rectangular faces: one pair with dimensions 3m x 15m and the other with dimensions 6m x 15m. The area of each face is determined by multiplying its length by its height. For the first pair of faces, the area is 3m * 15m = 45 square meters each. Similarly, for the second pair, the area is 6m * 15m = 90 square meters each. Adding these areas together (2 * 45 + 2 * 90), we get a lateral area of 270 square meters.

Complete answer;

find the lateral area of the prism 3m 6m 3m 6m 15m

If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?
(–2, 0)
(0, –2)
(5, –7)
(5, –2)

Answers

we know that
the coordinates of point B ( -5,0)

the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)

the answer is
(0, –2)

Answer:

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Step-by-step explanation:

From the diagram, B has coordinates [tex](-5,0)[/tex].

We want to find the coordinates of B' after a translation by the rule;

[tex](x,y)\rightarrow(x+5,y-2)[/tex],

We apply the rule to obtain;

[tex]B(-5,0)\rightarrow B'(-5+5,0-2)[/tex],

This implies that;

[tex]B(-5,0)\rightarrow B'(0,-2)[/tex]

Therefore the correct answer is B

Multiply 3i(−1 + 2i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?

Answers

3i (- 1 + 2i) Remove the brackets.
3i (-1) + (2i)(3i) Look at the first set of brackets around the -1
-3i + 6i^2 But i^2 = - 1[ I hope that's the way you are using it]
-3i - 6 or -6 - 3i or -3(2 - i) <<<<< answer

Tumblr's stock price is $38 per share. Anjie purchased 600 shares. Assuming a broker's commission of $0.10 per share to purchase the 600 shares, what was Anjie's total cost? A. $22,860 B. $22,740 C. $23,400 D. $22,800

Answers

Anjie's total cost for purchasing 600 shares of Tumblr stock at $38 per share plus a broker’s commission of $0.10 per share is $22,860. Hence, correct option is A $22,860.

To determine the total cost of Anjie’s purchase, follow these steps:

First, calculate the purchase cost of the shares:

600 shares* $38 per share = $22,800.

2. Next, calculate the broker’s commission:

600 shares* $0.10 per share = $60.

3. Add the purchase cost and the broker’s commission to get the total cost:

$22,800 + $60 = $22,860.

Thus, Anjie's total cost is $22,860 which corresponds to option A.

hey can you please help me posted picture of question

Answers

Points of intersection are solution set. Answer is 2.

Answer:
Two

Explanation:
The solution of a system of equations is defined as the values which satisfies both equations.

Graphically, the solutions are represented by the points of intersection between the two equtaions.

In the given graph, we have a circle and a line, we can note that these two intersect in two points.

This means that the system has two solutions

Hope this helps :)

Stefano calculated the mean absolute deviation for the data set 32, 4, 12, 40, 20, and 24. His work is shown below. Step 1: Find the mean. mc006-1.jpg Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. mc006-2.jpg What is Stefano’s error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.

Answers

Here is the correct work. The picture is not showing up, but you can compare this work to what is given.

To find the mean, you will find the sum of all the numbers and divide by how many numbers there are.

Mean: 4 + 12 + 20 + 24 + 32 + 40 = 132
132/6 = 22
Mean: 22

To find the mean absolute deviation, you find how far away each of the numbers are from the mean. Find the sum of these and divide by the same number of numbers.

(22 - 4) + (22-12) + (22-20) +(24 - 22) + (32-22) + (40-22)
18 + 10 + 2 + 2 + 10 + 18 = 60
60/6 = 10

The MAD is 10.

I think the correct answer is that Stefano should have divided by 6 when finding the mean absolute deviation.

Answer:

Stefano should have divided by 6 when finding the mean absolute deviation. ed quiz correct

Step-by-step explanation:

a local club is arranging a charter flight to hawaii. the cost of the trip is $574 each for 81 passengers, with a refund of $5 per passenger for each passenger in excess of 81.
find the number of passengers that will maximize the revenue recieved from the flight
also find the maximum revenue.

Answers

Let x be the number of passengers.
The discounted cost is given by,

Cost = 574-5(x-81) = 574-5x + 405 = 979 -5x

Total revenue, R(x) = x(979 - 5x) = 979x - 5x^2

At maximum revenue, dR/dx = 0 => dR/dx = 979 - 10x = 0 =>10x = 979 => x =979/10 = 97.9 ≈ 98 passengers

Therefore,
Revenues, R(97) = 98[574 -5(98-81)] = 98[574-85] = $47,922

Two numbers rolled can be added to get a sum. Find P(sum is even.)

Answers

When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.

PLZ HELP ASAP LAST CIRCLES

Answers

AC and AB are tangents to circle O, meaning that the angles C and B are right angles of 90 degrees. Since a quadrilateral's internal angles must sum up to 360 degrees, this means that A + B + C + O = 360
70 + 90 + 90 + O = 360
O = 110 degrees.

express 15 x^1/3y^1/5 using a radical

Answers

in short, to convert two fractions to have the same denominator, we simply multiply one by the denominator of the other, so in this case, we'll multiply 1/3 by 5, top and bottom, and 1/5 by 3, top and bottom, thus

[tex]\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------[/tex]

[tex]\bf \cfrac{15x^{\frac{1}{3}}}{y^{\frac{1}{5}}}\qquad \begin{cases} \frac{1}{3}=\frac{1\cdot 5}{3\cdot 5}\\ \qquad \frac{5}{15}\\\\ \frac{1}{5}=\frac{1\cdot 3}{5\cdot 3}\\ \qquad \frac{3}{15} \end{cases}\implies \cfrac{15x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{\sqrt[15]{x^5}}{\sqrt[15]{y^3}} \\\\\\ 15\sqrt[15]{\frac{x^5}{y^3}}[/tex]

Answer:

[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]

Step-by-step explanation:

We have been given an expression [tex]15x^{\frac{1}{3}}y^{\frac{1}{5}[/tex]. We are asked to express our given expression using a radical.

Using fractional exponent rule [tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex], we can write terms of our given expression as:

[tex]15\cdot\sqrt[3]{x^1}\cdot \sqrt[5]{y^1}[/tex]

[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]

Therefore, our required expression would be [tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex].

Solve the inequality, then identify the graph of the solution. 2x – 1 > x + 2

Answers

For this case we have the following inequality:
2x - 1> x + 2
To solve it, we must clear the value of x.
Clearing x we have:
2x - x> 1 + 2
x> 3
Therefore, the solution is given by:
(3, inf)
Answer:
(3, inf)
See attached image.

The answer would be

Hank delivers packages in his office building. On Tuesday he delivered four more packages than on Monday, and on Wednesday he delivered 6 more packages than on Monday. If he delivered 28 packages all together, how many did he deliver on Monday?
A) 6
B) 10
C) 18
D) 22

Answers

The answer is A because if X represents the # of packages sold on Monday, then Tuesday can be represented by x+4 and Wednesday by x+6. Add the three expressions to get 3x+10=28, subtract 10 from both sides. 3x=28, divide by 3 and get x=6

Answer:

Step-by-step explanation:

Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y = x2 – 3x + 12 y = –2x + 14 2.Use substitution to create a one-variable equation. –2x + 14 = x2 – 3x + 12 3.Solve to determine the unknown variable in the equation. What are the values of x?

Answers

-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
HOPE THIS HELPS AND PLEASE MARK ME AS BRAINIEST AND ADD ME AS A FRIEND

The resulting equation will be

x^2 - x - 2 =0
x^2 -2x +x -2 = 0
(x-2)(x+1) = 0
x= 2 and x = -1

Hope this will help☺☺

Find the value of -7 + (-9) + 11 + 8

Answers

First we open the parentheses:
-7-9+11+8
Simplify:
-16 + 19 = 3
The value is 3

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Which absolute value statement describes a 40 yard gain in football? A. |40| = 40, B. |-40| = 49, C. -|40| = 40, D. -|40| = 40,

Answers

The answer is A.) |40|=40

Answer:

Step-by-step explanation:

0.5 log3 x=2 x = what

Answers

[tex]0.5\log_3x=2[/tex]

[tex]Domain:x\in\mathbb{R^+}[/tex]

[tex]0.5\log_3x=2\ \ \ |\cdot2\\\\\log_3x=4[/tex]

[tex]Use\ the\ de finition\ of\ the\ logarithm:\\\\\log_ab=c\iff a^c=b[/tex]

[tex]Therefore\ we\ have:\\\\\log_3x=4\iff3^4=x\to x=81[/tex]

Answer: C. 81.

Here is another method:
[tex]0.5 log_3 (x) = 2[/tex]

Multiply both sides by 10 to get rid of the decimal:
[tex]10 * 0.5 log_3 (x) = 10 * 2[/tex]
[tex]5 log_3 (x) = 20[/tex]

Divide 5 out
[tex]\frac{5 log_3 x}{5} = \frac{20}{5}[/tex]
[tex]log_3 x = 4[/tex]

Now use the log rule [tex]a = log_b b^a[/tex]
[tex]4 = log_3 (3^4) = log_3 (81)[/tex]

Since we have the same base
[tex]log_3 (x) = log_3 (81)[/tex]
x = 81

When you agree to pay a car dealer for the use of a new car during a set period of time for a set amount of money and you have to return it at the end of that period of time, you are _____

Answers

When you agree to pay a car dealer for the use of a new car during a set period of time for a set amount of money and you have to return it at the end of that period of time, you are leasing a car.

Vehicle leasing is the leasing (or the use) of a motor vehicle for a fixed period of time at an agreed amount of money for the lease. It is commonly offered by dealers as an alternative to vehicle purchase but is widely used by businesses as a method of acquiring (or having the use of) vehicles for business, without the usually needed cash outlay. The key difference in a lease is that after the primary term (usually 2, 3 or 4 years) the vehicle has to either be returned to the leasing company or purchased for the residual value.

PLZ HELP ASAP TANGENTS OF A CIRCLES PROBLEMS

Answers

The radius of circle is 5.

AO = AB + OB

AB = 8
OB = Radius of circle = 5

So,

AO = 8 +5 = 13

The tangent of the circle is at 90 degrees to its radius. So we can say that triangle ACO is a right angled triangle, with side AO the hypotenuse.

Using the Pythagorean theorem we can find the length of tangent AC.

13² = AC² + 5²
AC² = 169 - 25 = 144
AC = 12

So, the length of side AC is 12

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

Answers

Amount of shampoo in a bottle = [tex]30 \frac{1}{2} [/tex] ounces
Amount of shampoo Nico uses in one bathe for his dog = [tex]1 \frac{1}{4} [/tex]

Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = [tex]27 \frac{1}{2} [/tex]

If Nico can Bathe his dog x times using this bottle, the value of x can be written as:

[tex]x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } [/tex]

Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.

Thus, Nico can Bathe his dog 22 times using the bottle

Final answer:

Nico can bathe his dog 22 times using the one bottle of shampoo.

Explanation:

To find the number of times Nico can bathe his dog using the one bottle of shampoo, we need to determine how many times 1 1/4 ounces can fit into the remaining shampoo in the bottle after 3 ounces have spilled out.

First, subtract the spilled amount of 3 ounces from the original amount of shampoo in the bottle, which is 30 1/2 ounces. This gives us 27 1/2 ounces remaining.

Next, divide the remaining amount of shampoo by the amount used per bath (1 1/4 ounces each time).

27 1/2 ounces ÷ 1 1/4 ounces = 22 baths

Therefore, Nico can bathe his dog 22 times using the one bottle of shampoo.

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x-5 is less than or equal to 1/3 (9x-6)

Answers

x-5 is less than 1/3 (9x-6) so that problem is correct

Other Questions

The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the length (the longer side) of the rug be? Elijah is going to spin a spinner 180 times. mc008-1.jpg He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijahs prediction? The sum of 6 times a position number and 1 is the same as the sauare of 1 less than the number what the answer is and how? Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether? Question 5 UnsavedMessenger RNA carries a(n) ___________ of the DNAs instructions out of the nucleus to the ___________.Question 5 options:transcript : ribosomeexact copy : ribosometranscript : mitochondriaexact copy : mitochondria How much weight should a teen gain during pregnancy? Which responsibility does Judaism emphasize under the rule of law?People must spread Judaism throughout the world.People must follow Gods law.People have the power to choose between good and evil.People have worth because God created them. On one of these sale days, I saw a mother lead seven children to the auction-block. She knew that some of them would be taken from her; but they took all. The children were sold to a slave-trader, and their mother was brought by a man in her own town. Before night her children were all far away. She begged the trader to tell her where he intended to take them; this he refused to do. How could he, when he knew he would sell them, one by one, wherever he could command the highest price? I met that mother in the street, and her wild, haggard face lives to-day in my mind. She wrung her hands in anguish, and exclaimed, "Gone! All gone! Why don't God kill me?" I had no words wherewith to comfort her. Instances of this kind are of daily, yea, of hourly occurrence. Based on this passage, what was one effect of slave sales? A) Many ended their own lives. B) Traders always made a profit. C) Families were split up and scattered. D) These social events were looked forward to. which hormone is required to maintain the corpus luteum and prevent menstruation? A 170-lb man carries a 10-lb can of paint up a helical staircase that encircles a silo with radius 15 ft. if the silo is 40 ft high and the man makes exactly two complete revolutions, how much work is done by the man against gravity in climbing to the top? ft-lbs Kendrick is planning to buy a house. Which explains why he should establish a positive credit history before buying the house? He will get the house for a lower price. It will be easier for him to get a loan to buy the house. He will be able to get a higher interest rate when buying the house. He will be able to find a house he likes more quickly. The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?A.) (3,4)B.) (3,5)C.) (30,401)D.) (30,501) Exposure to high energy electromagnetic radiation such as waves can cause cancer sterility and death What was the impact of the rise of the Japanese auto industry and the semiconductor industry in south eastern Asia? A. It increased communication B. It made the business planning process in the country easier C. It greatly expanded international trade D. It increased the human resource in the market E. It increased international IS operations According to ancient mythology Minerva is the goddess of wisdom. Knowing that isnthere a reason why she might be interested in helping Ulysses? Why did homer use Minerva to help Ulysses rather than another god. Cite evidence from the text you might find to help support your point. what are post reading strategies for fiction After the hairdresser Jenny had 27 centimeters cut off her hair how many decimeters of hair did jenny have cut off The mesoamerican mexican preclassic period is ____. A recipe requires 4 tsps and 1 fl oz. Which measurement is greater?