Caesar and Brutus are selling apple pie and lemon meringue pies for a school fundraiser. Caesar sold 5 apple pies and 2 lemon meringue pies for a total for $80. Brutus sold 3 apple pies and 6 lemon meringue for a total of $(0. What is the cost of one apple pie and one lemon merigue pie?

Caesar And Brutus Are Selling Apple Pie And Lemon Meringue Pies For A School Fundraiser. Caesar Sold

Answers

Answer 1

Answer:

Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75

Step-by-step explanation:

Let,

x be the cost of each apple pie

y be the cost of each lemon merigue pie

According to given statement;

5x+2y=80     Eqn 1

3x+6y=90     Eqn 2

Multiplying Eqn 1 by 3

3(5x+2y=80)

15x+6y=240    Eqn 3

Subtracting Eqn 2 from Eqn 3

(15x+6y)-(3x+6y)=240-90

15x+6y-3x-6y=150

12x=150

Dividing both sides by 12

[tex]\frac{12x}{12}=\frac{150}{12}\\x=12.50[/tex]

Putting x=12.50 in Eqn 1

5(12.50)+2y=80

62.50+2y=80

2y=80-62.50

2y=17.50

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{17.50}{2}\\y=8.75[/tex]

Hence,

Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75


Related Questions

what is the slope an y-intercept of the graph​

Answers

Answer:

D)

Step-by-step explanation:

the slope is 4 and intercept is 2

Answer:

2/1

Step-by-step explanation:

It goes over to the right one, and up two.

(If it went to the left it would be negative)

Hope this helps!

-AxekickNebulite

On average, Cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this pace?
A.1 hour 3 minutes
B.1 hour 16 minutes
C.1 hour 35 minutes
D.2 hours 30 minutes

Answers

Answer:

It will take him 1 hour 35 minutes to finish a 10 mile race

Answer is (C)

Cody runs 10-mile in 1 hour 35 minutes.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Cody runs 4 miles in 38 minutes.

Now,

Since, Cody runs 4 miles in 38 minutes.

Hence, The time to run 10 miles = 38 × 10 / 4

                                                  = 380/4

                                                  = 95 minutes

                                                  = 1 hour 35 minutes

Thus, Cody runs 10-mile in 1 hour 35 minutes.

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what is the linear equation of a line that goes through (-8,4) and (6,-3)​

Answers

Answer:

D

Step-by-step explanation:

Let's first find the slope.

y2-y1/x2-x1

-3-4/6--8

-7/14

-1/2

So it is D

Help me this is due 11:59pm

Answers

Step-by-step explanation:

Just count how many answers have at least two (HH)

In this case, it's 4.

The total outcomes are 8

4/8 can be reduced to

1/2

Therefore the probability the outcome has at least two heads is 1/2.

Answer:

[tex] \frac{1}{2} [/tex]

Write each sentence as an equation. Eight less than 1/3 a number is n -13.​

Answers

Answer:

Step-by-step explanation: Given that eight less than one-third of a number n is -13.

We are to find the value of n.

According to the given information, the equation for n can be written and solved as follows :

Thus, the required value of n is -15. I hope this really helps you(:

Answer:

[tex]\bold{\frac{n}{3} - 8 = - 13}[/tex]

and the solution is
[tex]\bold{n = -15}[/tex]

Step-by-step explanation:

I believe this sentence is mistyped
It should be Eight less than 1/3 a number n is -13

Analyze the word problem piece by piece not necessarily from the beginning of the sentence

The number is given as n in the sentence part boldfaced below
Eight less than 1/3 a number n is -13
Eight less than 1/3 a number n is -13
We take the phrase "1/3 a number  n" and translate that as
[tex]\bold{\frac{1}{3}\cdot n = \bold{\frac{n}{3}}}[/tex]

Eight less than 1/3 a number n is -13
Eight less than [tex]\frac{n}{3}[/tex]
⇒ [tex]\bold{\frac{n}{3} - 8}[/tex]
Finally we have the whole sentence
Eight less than 1/3 a number is  - 13:
"is - 13" translates to [tex]\bold{= -13}[/tex]

Putting the pieces together......
"Eight less than 1/3 a number is n - 13" in equation form is
[tex]\boxed{\bold{\frac{n}{3} - 8 = - 13}}[/tex]

If you wanted to solve this equation for n here's how to proceed

Add 8 to both sides to isolate the n term
[tex]\frac{n}{3}-8+8=-13+8[/tex]
Simplify
[tex]\frac{n}{3}=-5[/tex]
Multiply both sides by 3
[tex]\frac{3n}{3}=3\left(-5\right)[/tex]
Simplify
[tex]n=-15[/tex]

So the solution is [tex]\boxed{\text{n = - 15}}[/tex]


Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1

Answers

Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500

* Find b if log, 81=4. A) 5 B) 4 C) 3 D) 2 E) !​

Answers

Answer:

B

Step-by-step explanation:

Tape diagram pls help ( look at pic )

Answers

Answer:

x = 8

Step-by-step explanation:

Since there are 3 x's in the graphic, we have to think what times 3 is 24? The answer to that is 8!

The value of x in the diagram is 8.

How to find the value of x in the diagram?

A tape diagram is a rectangular visual model that resembles a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.

It is also known as a divided bar model, fraction strip, length model or strip diagram.

From the diagram, you will notice that:

x + x + x = 24

Add the three x:

3x = 24

Divide both sides by 3:

x = 24/3

x = 8

Thus, the value of x is 8.

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System of equations - urgent please help ben is making a new Twitter account and has 72 followers on his first day. He averages 10 new followers each week after that. Sarah also started a Twitter account and has 100 followers on her first day and averages 3 new followers each week. After how many weeks will they have the same number of followers?

Answers

Answer:

4 weeks

Step-by-step explanation:

Step one:

ben has 72 followers on his first day.

He averages 10 new followers each week

let the number of weeks be x

and the total followers be y

y= 72+10x--------1

Sarah also started a Twitter account and

has 100 followers on her first day and averages

3 new followers each week

let the number of weeks be x

and the total followers be y

y= 100+3x--------2

Step two:

let us equate the two expression to get the number of weeks x

72+10x=100+3x

collect like terms

10x-3x=100-72

7x=28

divide both sides by 7

x=28/7

x= 4 weeks

I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp

Answers

Answer:

Unknown

Step-by-step explanation:

dskljgjfhgdiagljhbajfhglvibliahgviyglvaj

Answer:

The tax was too much for me

Step-by-step explanation:

Sorry, Im a noob

dsx

sds

xdscxzxas

x

zszx

a taxicab charges $1.75 for the flat fee and $0.25 for each mile. write an inequality to determine how many miles eddie can travel if he has $15 to spend.

Answers

Answer:

1.75 +0.25m ≤ 1553 miles

Step-by-step explanation:

You want an inequality to determine how many miles eddie can travel if he has $15 to spend on a taxicab that charges $1.75 for the flat fee and $0.25 for each mile.

Inequality

The mileage charge is the per-mile charge ($0.25) multiplied by the number of miles (m). It will be $0.25m.

The total charge is the mileage charge plus the flat fee. Eddie wants that to be no greater than $15.

  1.75 +0.25m ≤ 15

Solution

We can solve this inequality in 2 steps.

  0.25m = 13.25 . . . . . subtract 1.75

  m = 53 . . . . . . . . . . . divide by 0.25 (or multiply by 4)

Eddie can travel 53 miles if he has $15 to spend.

<95141404393>


Which expression is equivalent to–4–9?
4 - 9
-4+ (-9)
-4 +9
4+9

Answers

Answer:

b

B -4+(-9

Step-by-step explanation:

because plus a negative number is just like subtracting i belive

It’s B man :))))))))))

The line that passes through (2, 4) and (0, 8) can be expressed by which of the following

Answers

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped

Please help
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 49 g to 56 g

Answers

Answer:  7/8

Work Shown:

(49 g)/(56 g)

49/56

(7*7)/(7*8)

7/8

Please help I’ll give brainlyst if u are right

Answers

Answer:

Each of the domain values, x, should only output a single unique range value, y.

This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.

-1 outputs a 3

and

-1 outputs a 5

If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation

Letter b is the right answer {(1, 2), (2, 6), (3, -2), (4, -6), because the first ordered pairs are not repeated.

a

c

Step-by-step explanation:

Three fifth of the T-shirts in a T-shirts shop are blue. Five eights of those T-shirts are on sale.One third of the blue T-shirts that are on sale are size medium. What fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium?

Answers

Answer:

1/8

Step-by-step explanation:

We can just multiply the fractinos

3/5 * 5/8 * 1/3

=

15/120

=

1/8

Matthew and Andrew leave an intersection at
the same time. Matthew travels due east
at 30 mph and Andrew travels due south at
40 mph. If nothing causes either to stop for
any reason how far apart are they after
1 hour?

Answers

d i believe so it might be d if not i’m sorry

A quadrilateral with no sides parallel and diagonals that are perpendicular

Options:
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
Parallelogram
Rectangle
Rhombus
Square

Answers

Answer:  Quadrilateral

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

Explanation:

Of your original given list, let's write down the parallelograms. They are:

Parallelogram Rectangle Rhombus Square

So we cross those off the list since we want a quadrilateral with no sides parallel. A parallelogram, by definition, is a quadrilateral with both pairs of opposite sides that are parallel.

We can also rule out the trapezoids because a trapezoid is a four sided figure (quadrilateral) where we have exactly 1 pair of parallel sides, while the other sides are not parallel.

Lastly, we can rule out the kite because any kite has perpendicular diagonals.

The only thing left is quadrilateral. In my opinion this answer should be more specific and say "quadrilateral that isn't a parallelogram, a trapezoid, or a kite", but I think I see what your teacher was going for here.

hi i am in grade 11 my question is find the equation of the root -3 and 5​

Answers

Answer:

x² -2x - 15 = 0

Step-by-step explanation:

(x+3)(x-5) = 0

x² -5x + 3x - 15 = 0

x² -2x - 15 = 0

what is the missing coefficient?
(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x
a. 4
b. 8
c. 10
d. 22

Answers

Answer:

b is the answer

Step-by-step explanation:

The missing coefficients of x² is 8.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. 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.

here, we have,

According to the question we have been given the expression which is :

(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x      

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

=  (15x^2+11y^2+8x)-(7x^2+5y^2+2x)    

First we will eliminate the brackets we get

   15x^2+11y^2+8x-7x^2-5y^2-2x

Solving the coefficients of  x² terms , y² terms and x terms we get

       = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

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Brian pays £275.23 a year on his car insurance.
The insurance company increases the price by 2.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.

Answers

Hope this helps!!!!!!!!!!

An 18-foot ladder is leaning against the side of a building forming a right triangle. The angle formed by the ladder and the ground is 60°. Which is closest to the distance, in feet, of the bottom of the ladder from the base of the wall?

Answers

Answer:

The distance is 9 feet

Step-by-step explanation:

18 is the length of the hypotenuse.

To find the length of the adjacent side, we take the hypotenuse multiplied by the cosine of the angle which is 60 degrees.

18*cos(60) = 9

can someone solve m - 4m= -6 step by step please?

Answers

Answer:

m = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

m - 4m = -6

Step 2: Solve for m

Combine like terms:                    -3m = -6Divide -3 on both sides:              m = 2

Step 3: Check

Plug in m into the original equation to verify it's a solution.

Substitute in m:                     2 - 4(2) = -6Multiply:                                 2 - 8 = -6Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

I need the answer for my homework

Answers

Answer:

45 for 5 and 34 for 6.

Step-by-step explanation:

You are just subtracting by 11.

Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.

twenty-seven twenty fifths
twenty-five twenty sevenths
59,049 over twenty-five
twenty-five over 59,049

Answers

The value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

How to evaluate the expression?

The expression is given as:

3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two

Rewrite properly as:

[3² * 3⁻⁵]/[5⁻²]

Apply the negative exponent law of indices

So, we have

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3⁻² * 3⁵]

Apply the exponent law of indices

[3² * 3⁻⁵]/[5⁻²] = [5²]/[3³]

This gives

[3² * 3⁻⁵]/[5⁻²] = 25/27

Hence, the value of the expression given as  [3² * 3⁻⁵]/[5⁻²] is 25/27

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24 * 5 is equal to 12 * ?​

Answers

10

Step-by-step explanation:

24*5=12*10

120=120

Write the slope-intercept form of the equation of each line.
Pls helpppp

Answers

Answer:

D) -[tex]\frac{7}{4}[/tex]x + 8

Step-by-step explanation:

The slope-intercept form of the line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.

7x + 4y = 32

Isolate 4y.

4y = -7x + 32

Find y.

y = [tex]\frac{-7x+32}{4}[/tex]

Evaluate.

y = -[tex]\frac{7}{4}[/tex]x + [tex]\frac{32}{4}[/tex]

y = -[tex]\frac{7}{4}[/tex]x + 8

PLEASE HELP ME ANSWER THIS QUESTION.

Answers

Answer:

5) yes, it's proportional

6) x = 5 (equivalent fraction)

7) x = 21 (equivalent fraction )

8) yes, it's proportional

Alguien me ayuda porfavor

Answers

con que ? no hay nada
En que te puedo ayudar??

Allen traveled for 7 hours at a constant rate of 40 miles per hour. Anna traveled the same distance at a constant rate of 50 miles per hour.

How long did it take Anna to travel the same distance as Allen?

Drag the steps in the correct order to solve the problem.

Answers

Here is the correct order of the step:

Identify: Anna's time is the unknown

Strategize : let x = Anna's time

Set up : 7(40) = x(50)

Solve: x = 5.6

Check: 7(40) = 5.6(50)

What is Anna's time?

The first step is to determine the distance Allen travelled:

Distance = average speed x time

40 x 7 = 280 miles  

The second step is to determine the time it took Anna to travel 280 miles.

Time = distance / average speed

280 / 50 = 5.6 hours

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