An ice cream shop charges customers a set amount for one scoop of ice cream, plus a charge per topping. If two toppings would cost a total of $3.99, and 4 toppings $4.99, what is the rate per topping?

Answers

Answer 1

Answer:

$0.50 per topping

Step-by-step explanation:

x + 2t = 3.99

x + 4t = 4.99

x + 2t = 3.99

2t = 3.99 - x

t = 1.995 - 0.5x

x + 4t = 4.99

x + 4(1.995 - 0.5x) = 4.99

x + 7.98 - 2x = 4.99

7.98 - x = 4.99

-x = -2.99

x = 2.99

t = 1.995 - 0.5(2.99)

t = 1.995 - 1.495

t = 0.50

Answer 2

The rate per toppings is given by the equation A = $ 0.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of the toppings be represented as A

Now , the equation will be

The cost of 2 toppings = $ 3.99

So , 2A = 3.99   be equation (1)

The cost of 4 toppings = $ 4.99

And , 4A = 4.99   be equation (2)

Subtracting equation (1) from equation (2) , we get

4A - 2A = 4.99 - 3.99

On simplifying the equation , we get

2A = 1.00

Divide by 2 on both sides of the equation , we get

A = $ 0.50

Therefore , the value of A is $ 0.50

Hence , the cost of one toppings is $ 0.50

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Related Questions

In the diagram, AC=BD. Show that AB=CD

Answers

I believe you just have to draw 2 little lines in between AB and CD.

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?

Answers

Answer:

3.5

Step-by-step explanation:

9, 2, 1,5,9, 7, 1, 2, 2, 5, 6

rearrange

1, 1, 2, 2, 2, 5, 5, 6, 9, 9

2+5=7

7/2=3.5

Answer:

its either 3.5

Step-by-step explanation:

1, 1, 2, 2, 2, 5, 5, 6, 7, 9, 9 basically see which number is in the middle basically  your adding the middle and then dividing by 2 and eureka...

What number when subtracted from the sum of 5.6 and 9.4 will give 12.8? *​

Answers

Answer:

2.2

Step-by-step explanation:

5.6-9.4=15.0

so you subtract 12.8 from 15.0 which gives you the answer 2.2 so your answer is 2.2

Calculate the slope between the points: (4, -3) and (4,7)
a
m=-1.25
b
m=undefined
C
m=0.5
m=0

Answers

Answer:

B

Step-by-step explanation:

Slope = 10/0 = undefined

2 2/3 divided by 1 1/3

Answers

Answer:

2

Step-by-step explanation:

Answer:

It is 2

Step-by-step explanation:

I do not have a true explanation its just quick math to my brain.

I NEED HELP ASAP PLEASE!! -4(w+1)=-24 w= what?

Answers

GiveN:

-4(w + 1) = -24w

What to do?

We have to solve for w

Step-by-step explanation:

For solving the Equation, we need to simplify it first. Expanding the parentheses.

⇒ -4w - 4 = -24 w

Shifting -24 w to the LHS to isolate m and shifting 4 to the RHS[tex].[/tex]

⇒ -4w + 24w = 4

⇒ 20w = 4

Dividing the equation by 20, So that we will get w in the LHS of the equation.

⇒ w = 4/20

⇒ w = 1/5

The required value of w is 1/5.

Simplify
(sec ∅ - 1)(sec ∅+ 1)​

Answers

Answer:

[tex]tan^2(x)[/tex]

Step-by-step explanation:

[tex](sec(x)-1)(sec(x)+1)\\sec^2(x) - 1\\\frac{1}{cos^2(x)} -1\\\frac{1-cos^2(x)}{cos^2(x)} \\\frac{sin^2(x)}{cos^2(x)}\\ \\tan^2(x)[/tex]

A teacher assigns 5 points for a correct answer and -2 points for an incorrect answer and 0 points for leaving the questioned unanswered. What is the score for Mohit who had 22 correct answers and 15 incorrect answers and 7 unanswered questions?

Answers

Answer:

Mohit has a score of 80

Step-by-step explanation:

Answer: Mohit got a scoe of 70

Step-by-step explanation: had this question on my assigment

Convert 50.0 mL to liters. Use the appropriate significant figures

Answers

Answer:

50 ml = 0.050 liters

Step-by-step explanation:

The solution is:

The mass/volume percent = 16/50 x 100% = 32%

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Explanation

Given:

Mass of NaCl, m = 16.0 g

Volume of solution, v = 50.0 mL

What to find:

The mass/volume percent.

Solution

The mass/volume percent of the solution can be calculated using the formula below

The mass/volume percent  = mass/volume x 100%

so, we get,

The mass/volume percent

= 16/50 x 100%

= 32%

Hence, The mass/volume percent is 32%.

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complete question;

Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.

Which of the following equations have the same solution as 3x-5=5x×11

Answers

Answer:

-5=2x+11

Step-by-step explanation:

Y

Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?

Answers

Answer:

Step-by-step explanatin

it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook

Kathy deposits $25 into an investment account with an
annual rate of 5%, compounded annually. The amount in
her account can be determined by the formula A = P(1 + R),
where P is the amount deposited, R is the annual interest
rate, and t is the number of years the money is invested. If
she makes no other deposits or withdrawals, how much
money will be in her account at the end of 15 years?

Answers

Answer:

25 x 1.05^15 = $51.97


The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]

Answers

Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)

The slope of the line represented by this equation is -5/6

Step-by-step explanation:

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

We have,

Equation:

10x + 12y = 240

This can be written in the slope-intercept form.

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

10x + 12y = 240

12y = 240 - 10x

12y = -10x + 240

y = (-10/12)x + 240/12

y = (-5/6)x + 20

Now,

The y-intercept is 20.

This is when x = 0.

And,

The x-intercept is when y = 0.

0 = (-5/6)x + 20

(5/6)x = 20

x = 4 x 6

x = 24

And,

The slope is (-5/6)

Thus,

The x-intercept is located at (24, 0).

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is (-5/6).

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A rectangle is graphed on the coordinate grid.

On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).

Which represents the equation of a side that is perpendicular to side s?
y = negative x + 9
y = negative x + 5
y = x + 9
y = x + 3

Answers

Answer:

y=negative x+5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Y=X+3

Hey, I need help with a math question. thank you <3

Answers

Answer:

B

Step-by-step explanation:

What is the factored form of the binomial expansion?

256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4

(4x – 6y)3
(4x – 6y)4
(16x – 36y)3
(16x – 36y)4

Answers

The factored form of the binomial expansion of 256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4 is (4x-6y)^4

Answer:

B

Step-by-step explanation:

Which of the following is equal to 5/7-4/7 (a) 0 (b) 1 (c) undefined (d) 1/7

Answers

Answer:

It's 0.142857

Step-by-step explanation:

Answer:

your answer is d.1/7

Step-by-step explanation:

all you have to do is subtract 5-4 which is 1 then add 7 as the denominator

PLEASE HELP!

You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times

Answers

Answer:

The final balance is $1,612.23.

The total compound interest is $612.23.

Step-by-step explanation:

The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.

Equivalent interest rate for 4% and how many times the money will be compounded to be determine.

What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Here, the equivalent interest rate = 4%/12
                                                     
= 1/3
                                                     = 0.33%


Now, number of times money compounded = 12 years
                                                                    = 12 x 12 months
                                                                    = 144

Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.

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State the degree of the polynomial.
3x2y + 4xy + 1 − 5x4y − 6y,

Answers

Answer:

The degree of the given polynomial is 5

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.

The degree of a monomial is the sum of the exponents of the variables that appear in it.

We have the following polynomial:

[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]

Degree of the first monomial: 2+1=3

Degree of the next monomial: 1+1=2

Degree of the next monomial: 0

Degree of the next monomial: 4+1=5

Degree of the next monomial: 1

Thus, the degree of the given polynomial is 5

How do you solve 60/5/90 can anyone divide that, please I will give brainliest

Answers

Answer:

Step-by-step explanation:

60/5 is 12

12/90 is .133repeated

What property is this an example of 56 + 82 = 82 + 56?

Answers

Answer:

Step-by-step explanation:

Commutative property

It will be nice if you give me brainliest.Good luck!

Is anyone a disgrace to their parents

what is 2+2x 100000000000 +5 /10

Answers

Answer:

2x^100000000000+ 5/2

Step-by-step explanation:

Answer:

400000000000

Step-by-step explanation:


Select the correct answer.
What is the solution for x in the equation? 5/3x+4=2/3x

Answers

X=-4
Pls mark brainliest

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

3. Solve for x.
4d = txy

Answers

Answer:

[tex]\huge\boxed{x=\frac{4d}{ty}}[/tex]

Step-by-step explanation:

If we have an equation ([tex]4d=txy[/tex]) and we want to solve for x, we want to reverse the equation until we have x on one side. Basically - what's stopping x from being alone?

The answer would be the t and the y that are being multiplied by x. So we can divide both sides by t and y to get our answer.

This is the same as dividing both sides by [tex]ty[/tex].

[tex]4d \div ty = txy \div ty[/tex]

[tex]\frac{4d}{ty}=x[/tex]

Hope this helped!

4> 9 + 10
whats the anwsers?

Answers

Answer:

4>19

The statement is false 4 is not bigger than 19.

55 in feet and inches

Answers

Answer:

1 foot 8 inches

Step-by-step explanation:

1 ft and 8inches :) hope this helps

ASAP!! If quadrilateral PQRS is a square, what are the coordinates of point E?

Answers

Answer:

E - (28, 25)

Hope this helps!

Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint her rectangular door, which is 3 feet wide and 7 feet high. What is the total area of the walls that Beth needs to paint?

A. 347 square feet

B. 368 square feet

C.578 square feet

D. 1019 square feet

E. 1040 square feet​

Answers

Answer:

D; 1019 square feet

Step-by-step explanation:

10 x 13 x 8 = 1040 square feet

3 x 7 = 21 square feet

1040 - 21 = 1019 square feet (:

Answer:

10x13 is 130

130x8 is 1040

Step-by-step explanation:


Solve the equation, justify
each step with an algebraic
property
50 + 3x = 7x- 2

Answers

Answer:

13

Step-by-step explanation:

Step 1:

50 + 3x = 7x - 2      Equation

Step 2:

50 = 4x - 2      Subtract 3x on both sides

Step 3:

52 = 4x    Add 2 on both sides

Step 4:

x = 52 ÷ 4      Divide

Answer:

x = 13

Hope This Helps :)

13
Add 2 to 50
Add 7x to 3x

HELP ILL AWARD BRAINLIEST

Answers

Answer:

Think about it

Step-by-step explanation:

If you made $20 in 2 hrs you made $10 per hour

To find out how much you make per certain number of hrs multiply $10 by the number of hours

The equation is y = 10x + 0 <-- this is also answer to number 4

10x is the constant of proportionality I think.

1 hour: 10 dollars
5 hours: 50 dollars
8 hours: 1600 dollars

I don’t know the rest but I hope this helped for part of it at least:)
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