Suppose a medium pizza at Vincent's costs $6.75 plus $0.75 for each topping, and the cost of a medium pizza at Original Italian Pizza is $6.15 plus $0.80 per topping. How many toppings would you have to include on your pizza for the price to be the same at both places?

Answers

Answer 1

Answer:

12 toppings

Step-by-step explanation:

To do this, we need to write an equation for each place, and then, equal both equations to solve for this.

Let's call "y" the price of the pizza, and "x" the number of toppings.

At Vincents, pizza costs 6.75 + 0.75 for each topping, so the equation here would be:

y = 6.75 + 0.75x  (1)

Now, at italian pizza, a pizza costs 6.15 + 0.80 per topping, so the equation:

y = 6.15 + 0.80x  (2)

Now, we don't need to know the actual price of the pizza, we only want to know how many toppings we need to add on both places, so the pizza has the same price. We have both equations, it's time to equal both of them:

Equalling (1) and (2) we have:

6.75 + 0.75x = 6.15 + 0.80x

Now, let's solve for x:

6.75 - 6.15 = 0.80x - 0.75x

0.6 = 0.05x

x = 0.6 / 0.05

x = 12

So the number of toppings to include in the pizza so the price is the same for both places, will have to be 12 toppings.

Answer 2

Answer:

12 toppings and the prize will be the same.

Step-by-step explanation:

Let

number of toppings = a

Medium pizza at Vincent's

cost  = 6.75 + 0.75a

Medium pizza at Original Italian Pizza

cost  = 6.15 + 0.80a

For the cost to be the same

6.75 + 0.75a = 6.15 + 0.80a

collect like terms

6.75 - 6.15 = 0.80a - 0.75a

0.6  = 0.05a

divide both sides by 0.05

a = 0.6/0.05

a = 12  

12 toppings and the prize will be the same.


Related Questions

What scenario could be modeled by the graph below?

A. The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.
B. The number of pounds of apples, y, minus half the number of pounds of oranges, x, is at most 5.
C. The number of pounds of apples, y, plus two times the number of pounds of oranges, x, is at most 5.
D. The number of pounds of apples, y, plus half the number of pounds of oranges, x, is at most 5.

Answers

Answer:

I would believe that it is A.

Step-by-step explanation:

The fact that A has 5, and x is minus two times, 5/2= 2.5, and that is where the second arrowhead is pointing to on the x axis.

The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5 which is correct option (A).

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + bc where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx + c.

This is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line

'c' is the y-intercept of the line

'x' is the independent variable

'y' (or f(x)) is the dependent variable

According to given graph,

A has a value of 5, and since x is negative two times, 5/2=2.5, which is where the second arrowhead on the x axis is pointing.

So, the total  number of the pounds of apples, y minus two times, and the pounds of oranges, x, equals at most five pounds.

Hence, the number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.

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4
Type the correct answer in each box.
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $
and the cost of 10 pounds of sugar is $
Reset
Next

Answers

Answer:50 cents. $5

Step-by-step explanation: each pound of sugar costs 50 cents. you can find that out by dividing the amount of sugar you have by the cost.

1 pound of sugar cost $0.5
That’s mean 5 cent
And 10 pounds of sugar is $5

21/-21. What is 21 divided by negative 21?

Answers

Answer:

-1

Step-by-step explanation:

Answer: 21/-21=-1

Step-by-step explanation:cut 21 two time,and add the minus and the answer -1

Given that events A and B are independent with P(A) = 0.65 and
P(A n B) = 0.52, determine the value of P(B), rounding to the nearest
thousandth, if necessary.

Answers

Answer:

0.80

Step-by-step explanation:

For independent events:

P(A and B) = P(A) P(B)

0.52 = 0.65 P(B)

P(B) = 0.80

What is the answer a,b,c or d?

Answers

Answer:

.6

Step-by-step explanation:

Tangent means opposite side divided by adjacent side

tan B = AC /BC

tan B = 9 / 15

tan B  = .6

Find the volume of the sphere. Round the answer to the nearest tenth.
16 ft
V
ft?

Answers

Answer:

804.25 ft cubed

I hope I helped you! If my answer is correct, could you please mark me brainiest? Thanks!

bc i have to ask a productive question what is ROYGBIV?

Answers

Answer:

you thicc????

Step-by-step explanation:

what is 15,472 rounded to the nearest thousand

Answers

Answer:

15,000

Step-by-step explanation:

You can't round it upwards, so it remains the same.

It would just be 15,000 right?  

Step-by-step explanation: Because if its in the thousands place the 4 is less than the 7

A tennis racquet costing $11.39. If Logan received $5.63 in change, how much money did he give to the cashier? $ Submit Continue Sorry, incorrect... The correct answer is: Got it Explanation review You answered: Got it Learn with an example question Back to practice Questions answered

Answers

Answer:

$17.02

Step-by-step explanation:

11.39 + 5.63 = 17.02

Answer:

The asnwer will be $17.02..........................................

Step-by-step explanation:

PLEASE HELP!!

Howard has been asked to draw a map of the Federalist Triangle in Washington, D.C. (pictured below) The actual
Federalist Triangle has a base of 3000 ft. and a height of 1200ft. On Howard's map the base of the triangle is 10
inches. What should the height of the triangle be?

A. 2 inches
B. 4 inches
C. 6 inches
D. 8 inches
E. There is not enough information to determine​

Answers

The answer would be B - 4

Mr Altman class recycled 72 water bottles in march. The Numbers of juice was 1/4 One Fourth times as many. What is the total number of water bottles and juice cans they recycled in march?

Answers

Answer:

The answer is 90 altogether.

Step-by-step explanation:

1/4 of 72 or 0.25x72 is 18. When you add 72 water bottles with the juice you get 90 altogether.

What is the value of y if f(x)=-3?

Answers

f(3)=5. Explanation: substitute the value of 3 given.

the formula for the area of a sector with a central angle in radians is?

Answers

Answer:  [tex]\dfrac{\theta }{2\pi }\times A[/tex]

Step-by-step explanation:

Given

If the central angle is [tex]\theta [/tex] (Let's say)

Area of sector is given by (in radians)[tex]=\dfrac{\theta }{2\pi }\times A[/tex]

Where A=Area of circle

where [tex]2\pi[/tex] represent [tex]360^{\circ}[/tex]

Please solve this ASAP! I WILL GIVE 20 points!

Answers

Answer:

15 parts

Step-by-step explanation:

Sugar: 20/4=5 you are doing five times the recipe because your using 5 times as much sugars. So for the flour 3*5=15

The sum of the interior angles of a polygon is 8280°.
How many sides does the polygon have?

Answers

the side will = to 48

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

A cylinder has a radius of 3 inches and a height of 6imches .What is the volume?

Answers

Answer:

-The volume of a cylinder can be either:

In terms of pi: [tex]54\pi[/tex]

             or

Using 3.14 for pi: [tex]169.646[/tex] [tex]in^3[/tex]

Step-by-step explanation:

Use the formula for the volume of a cylinder and use the given radius and height for the formula:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi 3^26[/tex]

Then, solve the formula:

[tex]V = \pi \times 3^2 \times 6[/tex]

[tex]V = \pi \times 9 \times 6[/tex]

[tex]V = \pi \times 54[/tex]

[tex]V = 54\pi \approx 169.646[/tex]

-So, the answers would be:

In terms of pi: [tex]54\pi[/tex]

          or

Using 3.14 for pi: [tex]169.646[/tex] [tex]in^3[/tex]

Answer:

169.65 inches^2

Step-by-step explanation:

Volume of a cylinder

V = pi x r^2 x h

pi x 3^2 x 6

≈ 169.65

solve for x
4(2x-1)= 3x-19

Answers

X=-3
This is the answer

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then  x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

Sumiko and Chung are shopping. Chung wants to buy a video game that costs $60, and Sumiko wants to buy a new pair of sunglasses for $80. In their possession, they have a gift card for $20 dollars, applied after taxes, and a 15 percent off coupon, applied before taxes. Sumiko and Chung want to use their remaining money to buy lunch, which they will split, at the mall. Assuming that taxes are 8.7 percent, who should use which savings option to ensure they have the most money remaining for lunch?

Answers

Answer:

1.83

Step-by-step explanation:

First, add the game and glasses. Write down the number you just got. Now, multiply by 0.15.

Take the second away from the first.

Now multiply that by 0.087

Finally, take 20 away

That is how much money you have spent.

Use both savings so they both get a huge meal.

PLEASE HELP ME 40 POINTS

Answers

Answer:

see below

Step-by-step explanation:

A: radius of 12 ft

    Changing to meter

 12 ft * .305 m/ ft =3.66 meter

The radius is 3.66 meters

The diameter is twice the radius = 2*3.66 =7.32 meters

The circumference is

C = pi*d = 3.14 * 7.32 =22.9848 = 22.98 meters

B diameter is 7.5 meters

Pool B has a bigger diameter

C = pi * d = 3.14 * 7.5m = 23.55 meters

The difference is .57 meters

Answer:

7.32

B

Larger/greater

0.57

Step-by-step explanation:

Diameter = 2 × radius

= 2 × 12 = 24 feet

24 × 0.305 = 7.32 meters

7.5 > 7.32

So the diameter of pool B is greater

Difference in circumferences:

(3.14 × 7.5) - (3.14 × 7.32)

23.55 - 22.98

0.57 meters

Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches,
and a height of 3 inches. What is the minimum amount of wrapping paper Dylan will need to completely cover the
box?
TI

Answers

Answer:

126 square inches of wrapping paper

Step-by-step explanation:

To compute for the minimum amount of wrapping paper Dylan will need to completely cover the box, you have to compute the surface area of the box. The formula in getting the surface area of a rectangle is:

A = 2WL + 2LH + 2HW

Substituting the given measurements to the formula:

A = 2(5)(6) + 2(6)(3) + 2(3)(5)

A = 60 + 36 + 30

A = 126 square inches

Therefore, Dylan needs to purchase at least 126 square inches of wrapping paper to completely cover the box.

Answer:

Step-by-step explanation:

A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies directly with the weight of the dog, w. The vet uses these steps to find the amount of medicine to give a 10-pound dog.

Step 1 Find the constant of variation.
k = StartFraction 0.5 Over 50 EndFraction = 0.01
Step 2 Write the direct variation equation.
m = 0.01 w
Step 3
Substitute 10 into the equation to find the dosage for a 10-pound dog.
10 = 0.01 w
Step 4
Solve for w.
10 = 0.01 w. w = 1000.

The 10-pound dog needs 1000 milligrams.

In which step did the veterinarian make the first error?

Answers

In the third step, 10 is the mass of the dog. As such, it should have been substituted to w and not to m.

Answer:

its c/third step

Step-by-step explanation:

trust -w-

# 1. Using the data set below find the MEAN:
15, 12, 7, 8, 6, 14, 8, 12, 17

Answers

Answer:

11

Step-by-step explanation:

15+12+7+8+6+14+8+12+17= 99

99 divided by 9 = 11

u divide it by 9 because u added 9 numbers together

6(a)If the gradient of the straight line
ky = kx + x + 7 is 2,
find: (i) the value of k,
(ii) the y-intercept.
Vine​

Answers

Answer:

(i) k =1

(ii) y-intercept is 7

Step-by-step explanation:

Given line:

ky = kx + x + 7

Divide all terms by k to get slope-intercept form of the line

y = (1 + 1/k)x + 7/k

Since the gradient (slope) of the line is 2:

1 + 1/k = 21/k = 1k = 1

The equation is now:

y = 2x + 7

y - intercept is found when x = 0

x = 0 ⇒ y = 2*0 + 7 y = 7

Which of the following equations have exactly one solution?

Choose all answers that apply:


A -13x+12=13x+13

B 12x+12=13x+12

C -13x+12=13x-13

D 12x+12=13x-12
Please answer ASAP

Answers

Step-by-step explanation:

A

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = [tex] \frac{-29}{1} [/tex]

x = -1

B

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

C

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

D

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

Could the answer be A?

Because here I found the solution of equations A, C, and D.

Whereas the questions must choose the one that has a solution.

#CMIIW ^^

All the expression given in the option has one solution for variable x.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the equations for the value of variable x,

Option A:-

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = -1 / 29

Option  B:-

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

Option C:-

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

Option  D:-

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

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help plzz. I Give brainly.

With steps plezz

Answers

Answer:

64°

Step-by-step explanation:

33k-9=90 (being a right angle)

33k=90+9=99

k=99/33=3

CD=20×3+4=64°

Answer:

arc CD = 64 degrees

Step-by-step explanation:

Find out k value: 33k-9+90=180

33k+81=180

33k=99

k=3

Substitute it in: 20(3)+4=60+4=64

SInce CPD is a central angle, arc CD = 64 degrees

I hope this helped and have a good rest of your day!

What is the circumference of the circle? (use 3.14 for pi)



28.26 km
56.52 km
56.55 km
113.04 km

Answers

Answer:

56.52 km

Step-by-step explanation:

circumference of circle =2πr or dπ

d×π=18×3.14=56.52 km

hope this helps

plzz mark me brainliest

56.52 km is the circumference of the circle.

Determining the circumference of a circle.

The given figure is a circle with diameter 18km. The formula for calculating the circumference is expressed as:

C = 2πr

radius = diameter/2

radius = 18km/2

radius = 9km

Substitute to have:

C = 2(3.14)(9)

C = 56.52 km

Hence the circumference of the circle is 56.52 km

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A cone is cut by a plane as shown, parallel to the base. The cross-section of the cone and the plane is...

Answers

Answer:

a circle

Step-by-step explanation:

parallel to the base meaning that it has to be parallel to the circle on the bottom of the base.  Picture yourself cutting the cone where the plane is and see what shape that is.  It's a circle

Can someone help me in b please​

Answers

Equilateral trianglesEquilateral triangles have sides of all equal length and angles of 60°. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle.

Consider the equation x 5 − 2 = 11. Each of these values might be the solution to this equation. Verify the correct solution by substituting each value into the equation. Which is the correct solution?

Answers

Answer:

x = 65

Step-by-step explanation:

Complete question is:

Which is the correct solution?

x = 1.8

x = 2.6

x = 45

x = 65

SOLUTION:

The given equation is : [tex]\frac{x}{5}-2=11[/tex]

Substituting all the values of 'x' one by one

 

-> For  x = 1.8  : [tex]\frac{1.8}{5}-2=11[/tex]

-1.64≠11

-> For x = 2.6 : [tex]\frac{2.6}{5}-2=11[/tex]

-1.48≠11

-> For x = 45 : [tex]\frac{45}{5}-2=11[/tex]

7≠11

-> For x = 65 : [tex]\frac{65}{5}-2=11[/tex]

11=11

Therefore, by substituting x in every equation, x = 65

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

Bailey jog 3 km to her friends house from her friends house she jog 250m in all going to and from the park, then she jogged back home . How many meters did Bailey jogged in all

Answers

Answer:

The total distance is  [tex]d_T = 6250 \ m[/tex]

Step-by-step explanation:

From the question we are told that

     The distance from bailey start point to her friends house is  [tex]d = 3 \ km = 3*1000 = 3000 \ m[/tex]

       The distance covered going to and from the park is [tex]d_2 = 250 m[/tex]

       

The total distance covered is mathematically evaluated as

         [tex]d_T = (2 * d_1) + d_2[/tex]

Substituting values

          [tex]d_T = (2 * 3000) + 250[/tex]

          [tex]d_T = 6250 \ m[/tex]

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