Shreya and Shanice are selling pies for a
school fundraiser. Customers can buy
blueberry pies and lemon meringue pies.
Shreya sold 4 blueberry pies and 2 lemon
meringue pies for a total of $76. Shanice
sold 4 blueberry pies and 13 lemon
meringue pies for a total of $230. What is
the cost each of one blueberry pie and
one lemon meringue pie?

Answers

Answer 1

Answer:

$26

Step-by-step explanation:

Let blueberry pies = x and lemon pies = y.

4x + 13y = 230

4x + 2y = 76

Using elimination, we see that 11y = 154. Therefore, y = 14.

4x + 2(14) = 76

4x + 28 = 76

4x = 48

x = 12

x + y = 12 + 14 = 26.

$26 is your answer.

Answer 2

Answer:

Step-by-step explanation:

Let B be the price of a blueberry pie.  Let L be the price of a lemon meringue pie.

We are told that Shreya makes a total of $76 by selling 4 blueberry and 2 lemon meringue pies.  This can be made into an equation:

Shreya:  4B + 2L = $76

We also learn that Shanice is doing particularly well:

Shanice:  4B + 13L = $320

We want to determine the prices for each type of pie, B and L.  We have two equations and two unknowns.  That means we should be able to find the answers by substitution.

Rearrange Shreya's equation to isolate B:

Shreya:  4B + 2L = $76

               4B   = $76 - 2L

                 B = ($76-2L)/4

Now use this definition of B in Shanice's equation:

Shanice:  4B + 13L = $320

                4( ($76-2L)/4) + 13L = $320

                     ($76-2L) + 13L = $320

            11L = 244

                L = $22.18

Use L = $22.18 in either equation and solve for B:

4B + 2L = $76

4B + 2*($22.18) = $76

4B = $31.64

B = $7.91

---

Blueberry pies are $7.91 each.

Lemon meringue pies are $22.18 each

=========

CHECK:  Do these prices provide the correct sales for each person?

            Price($/pie)        Shreya     Shanice

Blueberry          7.91               4            4

Lemon Mer.    22.18                2           13

Blueberry Sales ($)                    31.64        31.64

Lemon Mer. Sales ($)               44.3       288.36

Total Sales                              $76        $320

YES - These prices account for each person's sales.


Related Questions

What is the factored form of 6n⁴ - 24n³ + 18n?
a.6n(n⁴+4n³+3n)
b.6n[n⁴ -4n³ +3n]
c.6n(n³-4n²+3)
d. 6n(n³ +4n²+3)​

Answers

Answer:

answer is option C

Step-by-step explanation:

just take 6n as common and divine each value by it

The factored form of expression 6n⁴ - 24n³ + 18n is

6n (n² - 2n + 1) (n² - 2n + 3).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can factor out the greatest common factor of the expression, which is 6n:

6n(n³ - 4n² + 3n)

Next, we can factor the expression inside the parentheses by grouping:

n³ - 4n² + 3n = n²(n-4) + 3(n-4) = (n²+3)(n-4)

Substituting this back into the original expression.

6n (n² + 3) (n - 4)

However, we can further simplify by noticing that the expressions

(n² - 2n + 1) and (n² - 2n + 3) are both equivalent to (n - 1)² + 1 and (n - 1)² + 2, respectively.

Thus,

The factored form can also be written as 6n [ (n - 1)² + 1 ] [ (n - 1)² + 2 ]

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Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term

Answers

Answer:

[tex]n {}^{2} + 3[/tex]

The probability distribution for a
random variable x is given in the table.
-10
-5
15
20
Probability
.20
15
.05
.15
Find the probability that x ≥ 5

Answers

Answer:

Step-by-step explanation:

Comment

There is only 1 number under probability that is greater than or equal to 5. That number is 15

There are 4 possible answers. Only 1 is successful.

Answer: P(y≥5) = 1/4 or 0.25

WILL GIVE BRAINLYEST
Find measure of X and Y
X=

Y=

Part B:
Choose the correct degree measure for JKL
A. 98
B. 65.5
C. 262
D. 24.5

Answers

Part a
X=14
Y=8
Part b
C

Answer:

x = 7 y = 4 JKL = 262 degrees

Step-by-step explanation:

According to a circle theorem, sum of the opposite angles in a circle which touch its circumference must equal 180, hence:

7x + 131 = 180

x = 7

According to another theorem, a quadrilateral inside a circle must equal 360 so:

99 + 7(7) + 131 + 11(7) + y = 360

Note: remember to substitute 7 for all values of x

y = 4

The angle subtended by an arc at the centre is twice the angle subtended at the circumference

Following this rule, we can conclude that:

2(7x) or 2(2 x 7) = 2(49) which is 98

Lastly, 360 - 98 = 262

what graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?

Answers

A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given situation can be drawn as shown below, where the x-axis represents the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and the y-axis represents the total cost of the rice.

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abc buys widgets for $5 cash and sells them on account for $8. what is the benefit value of a widget on the books of abc?

Answers

The benefit value of the widget on the books of abc is $8

How to determine the benefit value?

The given parameters are:

Cost price = $5 cash

Selling price = $8 account

The benefit value of the widget is the same as their selling price on account

Hence, the benefit value of the widget is $8

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Help me please I can’t do this and I need this for the exam tomorrow?

Answers

The value of the x will be 25. The force involved vertically to the surface of an object per unit area is pressure.

What is pressure?

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

The given data in the problem is;

The base of the block of metal is a rectangle of 20 cm by x cm.

The block exerts a force of 1500 newtons on the ground. The pressure on the ground is 3 newtons/cm²

The area of the rectangle;

A = L × B

A=20 × x

[tex]\rm P = \frac{F}{A}\\\\ 3 N / cm^2 = \frac{1500 N}{20 \times x } \\\\ x= 25[/tex]

Hence the value of the x will be 25.

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(Giving 40 points and brainly if correct!)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ+QP= ?

Answers

In the given diagram, the length of OQ is 11

Calculating the length of a line segment

From the question, we are to determine the length of OQ

From the given information,

OP = 17

QP = 6

In the diagram, we can observe that

OQ + QP = OP

∴ OQ + 6 = 17

Subtract 6 from both sides

OQ + 6 - 6 = 17 - 6

OQ = 11

Hence, the length of OQ is 11

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[tex]\huge \boxed{\sf 11}\\\\\\\displaystyle \sf OP=OQ+QP\\\\OQ=OP-QP\\\\OQ=17-6\\\\OQ=11[/tex]

Please help, I have been trying for a while :(

question on photo​

Answers

Answer:

[tex]\frac{x-22}{(x+2)(x-4)}[/tex]

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

[tex]\frac{4}{x+2}[/tex] - [tex]\frac{3}{x-4}[/tex]

= [tex]\frac{4(x-4)}{(x+2)(x-4)}[/tex] - [tex]\frac{3(x+2)}{(x+2)(x-4)}[/tex] ← subtract numerators leaving the common denominator

= [tex]\frac{4x-16-3x-6}{(x+2)(x-4)}[/tex]

=[tex]\frac{x-22}{(x+2)(x-4)}[/tex]

In the equation 17x2 = 12x, the value of c is:
17
12
0

Answers

Answer: 0

Detailed Explanation:

General Form of a Quadratic Equation :-

=> ax^2 + bx + c = 0

a = Coefficient of x^2
b = Coefficient of x
c = Constant Term

In the Given Equation :-

17x^2 = 12x
17x^2 - 12x = 0
=> 17x^2 - 12x + 0 = 0

Therefore,
a = 17
b = -12
c = 0

Hence, value of ‘c’ = 0

The sum of the ages of 5 children is 20 years, after how many years will the sum of their ages be 40 years. a) 4 b) 5 c) 10 d) 20

Answers

Answer:

20

Step-by-step explanation:

each year each child will get additional age

example 5 children average of the age 20 years old.

after 20 years all of them.will be 20+20=40 years old.

the group of the children not changing but average of the groups will be increase in 20 years.

What is the value of y in the equation 2(2y - 12) = 0?
04
06
07
08

Answers

Hey there!


2(2y - 12) = 0
2(2y) + 2(-12) = 0

4y - 24 = 0

ADD 24 to BOTH SIDES

4y - 24 + 24 = 0 + 24

SIMPLIFY IT!

4y = 0 + 24

4y = 24

4y/4 = 24/4

SIMPLIFY IT!

y = 24/4

y = 6


Therefore, your answer should be:

y = 06 (Option B.)


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Answer:

y=6 (06) should be your answer

Step-by-step explanation:

4y-24=0

After you simply the first equation in the parenthesis, you then move the 24 to the 0,

4y=24

The answer becomes positive 24 because when you move things across the equal sign you switch the sign

y=6

Then divide 24 by 4 to isolate y, which then gives you the answer 6.

simplify the equation ( 3(3) × 3 (4) ) ÷ 3 (2)​

Answers

Answer:

(3(3) × 3(4) ) ÷ 3(2)

(9 × 12) ÷ 6

108 ÷ 6

18

Answer: 18

Step-by-Step Solution:

= (3(3) * 3(4)) / 3(2)
= (9 * 3(4)) / 3(2)
= (9 * 12) / 3(2)
= (108) / 3(2)
= 108/6
=> 18

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.

Answers

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

The answer above is correct.

What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance

Answers

The choice is tangent rule and the distance from the base to the tower is 3. 98 meters

How to determine the distance

The trigonometric ratio to use is

tan α = opposite side/ adjacent side

This is so because the angle 86° is facing the side of the distance from the top to the base

The choice is tangent rule

adjacent  = x

Angle = 86°

Opposite side = 57

We have

tan 86° = 57/x

14. 300= 57/x

x = 57 ÷ 14.300

x = 3.98meters

Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters

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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?



How far would Pete walk if he went from A to B to C? yards

The direct distance from A to C is more than yards.

The inequality w < represents the distance, w, that Pete might save by taking the direct path.

Answers

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40, 10, 30
see picture

Step-by-step explanation:

How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1

Answers

The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

What are the solutions of the equations?

The equations are given below.

y = x² + x − 2  ...1

y = – x + 1       ...2

From equations 1 and 2, we have

x² + x − 2 = – x + 1

x² + 2x − 3 = 0

Then the factor of the equation will be

x² + 3x – x − 3 = 0

    (x + 3)(x – 1) = 0

                     x = 1, –3

Then  the value of y will be

At x = 1, we have

y = -1 + 1

y = 0

At x = -3, we have

y = -(-3) + 1

y = 4

Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

The graph is given below.

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solve the linear system by elimination. 4x-2y=15 2x+2y=3

Answers

Answer:

x=3 and y = -3/2

What is the elimination method?

A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.

___________________________________

Let's solve your system by elimination.

4x−2y=15;2x+2y=3

4x−2y=15

2x+2y=3

Add these equations to eliminate y:

6x=18

Then solve 6x=18 for x:

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

4x−2y=15

Substitute3 for x in 4x−2y=15:

(4)(3)−2y=15

−2y+12=15(Simplify both sides of the equation)

−2y+12+−12=15+−12(Add -12 to both sides)

−2y=3

-2y/-2 = 3/-2 (Divide both sides by -2)

y = -3/2

Answer:

x=3 and y = -3/2

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X=3
Y=-3\2 or -1.5
Or depends on what they want

I REALLY NEED HELP!!

Answers

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

What is an invertible function?

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

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Can you answer this and explain it please! for 100 points

Answers

Answer:

D) -12

Step-by-step explanation:

[tex]3(x-4)+(2-x)-x^2[/tex]

Replace X With 5

[tex]3(5-4)+(2)(5)-5^2[/tex]

[tex]=-12[/tex]

I Hope This Helps

Please Mark Me As Brainliest :)

How many different committees
with 4 members can be formed
from a group of 8 people?

Answers

Answer:

70 is the right answer....

Answer:

70 ways

Step-by-step explanation:

8 C 4 =   8 ! / ( 4! * 4!) = 70 ways

4. John has his money in a savings
account that earns 3% interest each
year. He never takes money out of the
account. The value of his account is
described by the function
Dollars (years), or D(y).
Is D(2) < D(7) true or false?

Answers

Answer:

false

Step-by-step explanation:

so D(2) is equal to how much money he has after 2 years while D(7) is after 7 years. since he earns 3% interest each year he will have more money after 7 years than 2 years

Which rule describes the composition of transformations that maps δjkl to δj"k"l"? 90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0

Answers

Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Triangle JKL was rotated 90 degrees about the origin and translated 2 units left to form triangle J"K"L"

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Answer:

Its actually D

Step-by-step explanation:

helooooooo
bnbdnndnmfmfnfncncncncnncnc.... ​

Answers

Answer: I dont really understand your questions

Step-by-step explanation: find the solution to your problem

Use logarithmic properties and solve for x

Answers

Answer:

[tex]x = 45 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } [/tex]

[tex] {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } [/tex]

[tex]5 {x}^{2} = {15}^{4} [/tex]

[tex] {x}^{2} = \frac{ {15}^{4} }{5} [/tex]

[tex]x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )[/tex]

[tex]x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} [/tex]


A carton of one dozen eggs costs $1.92. What is the unit price of each egg?

Answers

Answer:

$0.16

Step-by-step explanation:

unit price = price of carton / number of eggs

unit price = $1.92/12

unit price = $0.16

Which solution set matches the equation on the graph?

Answers

Answer: C, {(1, -4), (4, -1)}

Step-by-step explanation: Where the two graphs meet are their solutions, and the points where they meet are {(1, -4),(4,-1)}.

C is the correct answer to this question I promise

What are the measures of Angles a, b, and c? Show your work and explain your answers.
70°

Answers

we can’t see the angles……

determine the scale factor for triangle abc to prime ^abc

Answers

The scale factor for triangle ABC to A'B'C' is 2

How to determine the scale factor?

The complete question is in the attached image

From the attached image, we have the following corresponding sides

AC = 4 cm

A'C' = 8 cm

The scale factor is then calculated as:

Scale factor = A'C'/AC

This gives

Scale factor = 8cm/4cm

Evaluate the quotient

Scale factor = 2

Hence, the scale factor for triangle ABC to A'B'C' is 2

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Determine the measure of each indicated angle. Show all necessary steps!

Answers

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

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