At a cake stall , muffins cost $2 each & cookies cost $1 each. The cake stall earned $146. If 2 more cookies than muffins were sold, how many muffins were sold?

Answers

Answer 1

Answer:

48 muffins were sold

Step-by-step explanation:

Represent the number of muffins by m and the number of cookies by c.

Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c.  Remembering that c = m + 2, we obtain the following equation:

($2/muffin)m +  ($1/cookie)(m + 2) = $146, so that:

2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.

Dividing both sides of this result by 3, we get m = 48

Thus, 48 muffins were sold.


Related Questions

Problem is in the picture

Answers

The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15‬ centimeters.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:

G(f) = 2.57f + 47.22

G(49) = 2.57(49) + 47.22

G(49) = 125.93 + 47.22

G(49) = 173.15‬ centimeters.

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I need help with this problem

Answers

Answer:

sorry i can't see it properly I am very sorry

Which function is being graphed below?

Answers

The absolute function will be f(x) = | x - 5 | - 4.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x - h | + k

Where h,k is the vertex of the absolute function.

f(x) = | x - 5 | - 4

Therefore the absolute function will be f(x) = | x - 5 | - 4.

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Given: x - 5> -2.
Choose the solution set.
OxIXER, x> -7}
OxIXER, x> -3}
OxIxER, x> 3}

Answers

Answer: [tex]\{x|x \exists \mathbb{R}, x > 3 \}[/tex]

Step-by-step explanation:

Adding 5 to both sides, we get x > 3.

Find the present value, using the future value formula and a calculator. Future value is $6,000 in two years at 9.5% simple interest. Round your answer to the nearest cent (two decimal places). Enter only the number without $ sign.

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ A=6000[1+(0.095)(2)]\implies A=6000(1.19)\implies A=7140[/tex]


Solve the following equation by factoring.
y²-8y=0

Answers

Answer:

y=0, y=8

Step-by-step explanation:

y²-8y=0

y(y-8)=0

so either y=0 or y-8=0

so y=0, y=8

what is .3% written as a decimal

Answers

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

What are decimal numbers?

Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%

This can be expressed as;

0.3% = 0.3/100

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

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ASAP!! HELP!
A) Describe the relationship among the lengts of the segments formed by the secant (DB) and secant (CB) . You may use words and/or an equation.

B) Suppose DB = 18 ft, AB = 3 ft, and CB = 10 ft. Find the lengt of CE. Show all your work.

Answers

Given the following parameters DB = 18 ft, AB = 3 ft, and CB = 10 ft. Therefore, The length of the CE is 4.6 ft.

What is Secant-secant rule?

The secant-secant rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

(BA + AD)BA = (BE + EC)BE

Given the following parameters

DB = 18 ft, AB = 3 ft, and CB = 10 ft.

Substitute to check if we can find CE

(BA + AD)BA = (BE + CE)BE

(3+ 15) x 3 = (10 + CE ) x 10

18 x 3 = 100 + 10CE

54 = 100 + 10CE

CE = 4.6

Therefore, The length of the CE is 4.6 ft.

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Height of a softball in feet h(t)=3+55+-+16+2

Answers

Answer:

18ft

Step-by-step explanation:

i can't lay out the formula

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets Henry bought two buckets of popcorn for 5 dollars each. How much did Henry spend on popcorn.

Answers

Answer:

Peter spent 14 dollars on movie tickets. Henry spent 10 dollars on popcorn.

Step-by-step explanation:

I hope this helps! :)

PLS HELP ME ASAP!!!!!

Answers

Answer:

c

Step-by-step explanation:

its just the dilate of the triangle which both add up to 180


Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places.
tan(π/5)

Answers

Answer: The answer is 0.7265.

Step-by-step explanation: I don't know how to explain. Put the tangent of pi / 5 into your calculator.

You get 0.726542528...

But you round to 4 decimal places.

This rounds to 0.7265.

Solving Steps

Simplify the expression

[tex] \tan( \frac{\pi}{5} ) [/tex]

Calculate the approximate value

0.726543

Round the number

Round 0.726543 to the required place

0.7265

Answer:

0.7265

Write the equation of the line in slope-intercept form.
The equation of the line in slope-intercept form is ___

Answers

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

[tex]\frac{60-40}{1-0.5}[/tex]

Solve:

[tex]\frac{20}{0.5}[/tex]

Divide:

[tex]\frac{1}{40}[/tex]

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

Without using a calculator, determine the number of real zeros of the function
f(x) = x3 + 4x2 + x − 6.
PLEASE HELP!!!

Answers

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

How to determine the number of real zeros?

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms of the function

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

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

The function has been completely factored;

And it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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What are the solutions to this system of
equations?
x² + 2x - 8 = 0
y = x² + 3x + 5
y = x + 13
x = 2 and x = -4
A
(15, 2); (9,-4)
B
(2, 15); (-4, 9)

Answers

Answer:

B; because it has two points where x is once 2 and once -4

In a football tournament, each team plays exactly 19 games.
Teams get 3 points for every win and 1 point for every tie.
At the end of the tournament, team Olympus got a total of 28 points.
From the following options, how many times could team Olympus have tied?

Answers

Answer:16  ties

Step-by-step explanation:

there is 19 games if they tied 16 then that 16 points so 28 - 16= 12  

then 4 games left so 4 times 3 is 12

At the end of the tournament, team Olympus have tied for 13,10,7,4,1 times

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

According to question

In a football tournament, each team plays exactly 19 games.

Points for every win (w) = 3

Points for every tie (t)= 1

Points for every loose = 0

Olympus got a total of 28 points

i.e  3w + t = 28 ---------(1)

And each team plays  19 games

T + W  ≤  19 --------------(2)

and T , W ≥ 0

from equation (1) and (2)

=> 2W  ≥  9

=> W ≥ 4.5  

( match can be won in integers only )

=> W  ≥  5  

W       T        Loose

5        13           1

6        10           3

7         7            5

8         4            7

9          1            9    

Hence, Olympus have tied for 13,10,7,4,1 times

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a car can travel 340 km with 17 litres of petrol. how much can I travel with 20 litres of petrol?​

Answers

The car would travel a distance of 400 km using 20 litres of petrol

How to determine the distance travelled?

The given parameters can be represented using the following scale ratio :

Scale = 340 km : 17 litres

For 20 litres of petrol, we have:

Distance : 20 = 340 km : 17

Express as fraction

Distance/20 = 340 km/17

Multiply both sides by 20

Distance = 400 km

Hence, the car would travel a distance of 400 km using 20 litres of petrol

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the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16

Answers

The missing number given the mean of the data set is 16.

What is the missing number?

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

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please help me with this

Answers

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!

Use the drop down menus to correctly complete the statement.
1st-
-must be congruent
-Must not be congruent
-Can be either congruent or not congruent


2nd-
-must be perpendicular
-Must not be perpendicular
-Can be either perpendicular or not perpendicular

Answers

For a quadrilateral to be a square, the diagonals must be congruent and must be perpendicular.

Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?

Answers

Answer:

2,550 dollars hope u get a good grade

Step-by-step explanation:

the andswer is 220.32

Step-by-step explanation:

when you take 204 times the 8percent interest

204 x .08

you get 16.32

now add 16.32 and 204 and thats what you owe for your loan

This venn diagram shows sports played by 10 students let events A = the students plays basketball let event B = the students plays soccer What is P(A|B)

Answers

The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4

How to deal with Venn Diagrams?

From the Venn diagram attached, it displays sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of P(A|B) will be;

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (2/10)/(5/10)

P(A|B) = 0.40

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vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months
how do I solve this and do I have enough information to answer the question and what step would take to solve the problem and how do I calculate the results

Answers

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

How to calculate the price?

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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5) Kerjakan perkalian dibawah ini
82
44
X

Answers

Answer:

1. 3608

2.3956

3. 714

Step-by-step explanation:

jap darab ke apa ni

Graph: y+2=-3/4(x+4)

Answers

The picture below shows how to graph it.

find the measure of the missing angle

Answers

Answer:
Angle A = 54

Angles on a straight line add up to 180.
So:

126 + a = 180

Rearrange for a.

a = 54

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?
22,500 = 2 p
2 (22,500) = p
22,500 = 2 p minus 8
2 (22,500) = p minus 8

Answers

An equation is formed of two equal expressions. The correct option is A.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?

Answers

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

8. Simplify (+2) × (+6) (-3)​

Answers

Step-by-step explanation:

= ( +2 ) × ( + 6 ) ( -3 )

= + 12 (- 3 )

[tex] = - 36[/tex]

hence - 36 is the answer...

9. Which point is on the graph of 2x - 16y=-8?
OA (-4,0)
O B. (0,2)
O
c. (0,4)
O D.
D. (1.0)

Answers

Answer:

A. (-4,0)

Step-by-step explanation:

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