Mathematics High School

PLEASE DON'T JUST WRITE AN ANSWER!!! I WOULD REALLY APPRECIATE A STEP BY STEP EXPLANATION SO I CAN UNDERSTAND IT MYSELF :)) <3
I've gotten this problem wrong three times and can't seem to figure out what I'm doing wrong :(

Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.

Could someone please walk me through the process of writing two systems of equations that represents the number of each type of pie????

Let x = cost of each apple pie; y = cost of each lemon meringue pie.

Thank you thank you so so much!

Answers

Answer 1

Step-by-step explanation:

Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.

Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.

6x + 5y = $94

- (6x + 4y = $80)

=> y = $14.

Therefore 6x + 5($14) = $94, 6x = $24, x = $4.

Hence each apple pie costs $4 and each lemon meringue pie costs $14.

Related Questions

Help me out...

✨p l e a s e✨

In a right triangle, the length of one leg is 4 units. The length of the other leg is 5 units. What is the length of the hypotenuse?

A.) 3 Units

B.) [tex]\sqrt18[/tex] units

C.) [tex]\sqrt20[/tex] units

D.) [tex]\sqrt41[/tex] units

Answers

Answer:

Step-by-step explanation:

a^2+b^2=c^2

16+25=41

i got my question as 4r-2r=5-3r, how do i solve this

Answers

Here, I wore it down and took a picture of it.

Answer:

well if ur looking for r, then r=1 hope dis helps

Step-by-step explanation:

4r-2r=5-3r

combine like turms

2r=5-3r

+3r +3r

5r=5

/5 /5 5/5=1

R=1

think about brinlist thank you

You can rent a car via two options. Option A charges $20 per day plus $0.10 per mile. Option B charges $0 per day, but $0.50 per mile. How many miles must you drive in one day for option A to be cheaper?

Answers

Answer:

50 miles

Step-by-step explanation:

Step one

given data

let the total charge be y and the number of miles be x

Option A charges $20 per day

plus $0.10 per mile.

y= 20+0.1x---------------1

Option B charges $0 per day,

but $0.50 per mile

y= 0.5x---------------2

equate 1 and 2 we have

20+0.1x=0.5x

20=0.5x-0.1x

20=0.4x

divide both sides by 0.4

x= 20/0.4

x=50 miles

5) For every 14 students who run track, there are 6 students who play baseball. There are 128 more students who run track than play baseball.

How many students run track?
How many play baseball?

Answers

Answer:

So we divide 128 into 14 which is 9.14285714286 but that eo be impossible so next we round to the nearest number which is now 9 now we multiply 9 by 14 and that gives us 126

I believe this is the answer

The answer is 126 and second ........ 132

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

x = 30.96

Step-by-step explanation:

tan θ = opposite / adjacent

tan θ = 12/20

tan θ = 0.6

[tex]tan^{-1}[/tex](0.6) = 30.96

Does the graph represent function?

Answers

Answer:

Step-by-step explanation:

find the slope of the line which is perpendicular to the line 7 x + 11 Y - 2=0

Answers

Answer:

[tex]\huge\boxed{slope=-\dfrac{7}{11}}[/tex]

Step-by-step explanation:

METHOD 1

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

[tex]m[/tex] - slope

[tex]b[/tex] - y-intercept

We have the equation in the general form [tex](Ax+By+C=0)[/tex].

Convert to the slope-intercept form:

[tex]7x+11y-2=0[/tex] subtract 7x from both sides

[tex]11y-2=-7x[/tex] add 2 to both sides

[tex]11y=-7x+2[/tex] divide both sides by 11

[tex]y=-\dfrac{7}{11}x+\dfrac{2}{11}[/tex]

METHOD 2

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

The slope:

[tex]m=\dfrac{-A}{B}[/tex]

We have

[tex]7x+11y-2=0\\\\A=7;\ B=11;\ C=-2[/tex]

Substitute:

[tex]m=\dfrac{-7}{11}=-\dfrac{7}{11}[/tex]

What does X = In question 2

Answers

Answer:

Step-by-step explanation:

10/5=2/1 or 2

Answer:

Step-by-step explanation:

What is the x intercept of the line below?

Answers

Answer:

No x-intercept

Step-by-step explanation:

When there's an equation that has no x then it will not touch the x axis.

No x intercept. Max he line only goes through y

i need help on this plz
a. b. c. d. ???

Answers

Answer:

I'm pretty sure the answer is B

i think the answer is b !!

You have three $1-bills, two $5-bills, and a $20-bill in your pocket
If you choose two bills without replacing the first bill you pick out,
what is the P ($1 and $20)

Answers

I have never seen two pretty

The slope is -1 and the y-intercept is -5. Write a linear equation in slope-intercept form.

Someone pls help me!

Answers

ExplanationSlope-intercept form

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.

Substitution

Substitute m = -1 and b = - 5 in the equation.

[tex]y = - 1x - 5 \\ y = - x - 5[/tex]

We don't usually write 1x or -1x instead we write -x or x.

Answer

[tex]y = - x - 5[/tex]

If you could just tell me the coordinates that would be great thanks

Answers

Answer:

A: (2,5)

B: (4,8)

C: (8,6)

Combine like terms to create an equivalent expression. 4\left(1.75y-3.5\right)+1.25y4(1.75y−3.5)+1.25y

Answers

Answer:

8.25y + 14

Step-by-step explanation:

Given the expression

[tex]4\left(1.75y-3.5\right)+1.25y[/tex]

We are to simplify it as shown

Open the parenthesis

4(1.75y) - 4(3.5) + 1.25y

7y - 14 + 1.25y

Collect the like terms

7y + 1.25y - 14

8.25y + 14

Hence the required expression is 8.25y + 14

Answer:

8.25y−14

Step-by-step explanation:

Use the distributive property to multiply the

4start color #ff00af, 4, end color #ff00af into the parentheses.

Hint #22 / 4

(

1.75

−

3.5

)

1.25

=4(1.75y−3.5)+1.25yempty space, start color #ff00af, 4, end color #ff00af, left parenthesis, 1, point, 75, y, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y

⋅

(

1.75

)

⋅

(

−

3.5

)

1.25

=4⋅(1.75y)+4⋅(−3.5)+1.25yequals, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, 1, point, 75, y, right parenthesis, plus, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y [Explain]

−

1.25

=7y−14+1.25yequals, 7, y, minus, 14, plus, 1, point, 25, y

Hint #33 / 4

−

1.25

=7y−14+1.25yequals, start color #6495ed, 7, end color #6495ed, y, minus, 14, plus, start color #6495ed, 1, point, 25, end color #6495ed, y

(

1.25

)

−

=(7+1.25)y−14equals, left parenthesis, start color #6495ed, 7, end color #6495ed, plus, start color #6495ed, 1, point, 25, end color #6495ed, right parenthesis, y, minus, 14 [Explain]

8.25

−

=8.25y−14equals, 8, point, 25, y, minus, 14

Hint #44 / 4

The expanded expression is

8.25

−

8.25y−14

A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?
(Help please)

Answers

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

Can someone help this is due tomorrow!!

Answers

Answer:

angle 1 = 100 degrees

angle 2 = 53 degrees

Step-by-step explanation:

diagonals of a rhombus bisect angles so angles 2 and 3 are both 53

Answer:

37 and a 1/3

Step-by-step explanation:

3 glasses of lemonade=8lemons

1 glass of lemonade=2.66666667

14 glasses=37.33

you cannot have 37 and a 1/3

please give me brainliest!!

4. Write the equation of line that is perpendicular to y= -1/3x + 7 and has a y intercept of -1.
1

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1

y = -1/3x + 7 ⇒ m₁=-1/3

-1/3×m₂ = -1 ⇒ m₂ = 3

The y-intercept is b=-1 so the equation in slope-intercept form:

y = 3x - 1

d ÷ 3 = 138
what is d

Answers

Answer:

D equals 414

Step-by-step explanation:

414 is correct because to check do 414 divided by 3 to equal 138

MARK ME AS BRANLIEST

Answer:

its 414 because if you multiply 138 and 3 you get 414 then if you divide 414 and 3 you get 138

Step-by-step explanation:

PLEASE HELPP!!
Find the missing angel

Answers

The answer is 39 degrees

Other Questions

Jimmy bought a sandwich. The price is $5 when he got the receipt he needed to pay 6% taxes, and he left a 10% tip how much did he spend? The coastal-route theory suggests that people may have first arrived in the Americas by crossing _____.A.) the open Pacific on a raft and reaching the coast of South America.B.) the land bridge but spreading south along the Pacific coast instead of moving inland.C.) from Greenland or Iceland in large ships and traveling south along the Atlantic coast.D.) the arctic waters by boat and traveling south along the Pacific coast. Abby wants to buy a new purse for $23.57. She gives the cashier a $20 bill and a $10 bill. How much change does she get back? Can someone pls help... I'm stuck...When did time begin? What word suggests a negative connotation of being thin?O scrawnyO leanO slenderO svelteHelp me What was the Durham Report? Why was it written? the partial pressure of hellium gas in a gaseous mixture of hellium and hydrogen is Plot two points that are 8 units from Point B and also share the same x-coordinate as Point B. y ANSWER CORRECTly or bannedMake this essay better Komodo Dragons are monsters. These beasts are monsters when they are not trained, and most of them are not. Most of them are not trained because they most likely don't have owners or a human to train them, sometimes even if they do, the humans do not get to train them. One reason these Komodo Dragons are beasts is because they sit in the sun all the time and if your dog is walking around and a Komodo Dragons sees it, well the dog is probably your new space in the backyard next to Mr.down the toilet; fish so that is one reason. The second reason is, if you have any plants of any thing that has some fruits or vegetables they will come and eat your fruits and vegetables just because they want to most of the time they aren't even hungry they are like alligators they will eat till the stomachs explode because they aren't hungry they just want to eat everything they see. The last reason is if you want to go fishing and you have an Komodo Dragons in your neighborhood and there is very few fish in your lake, well most likely it was the Komodo Dragons but it could be the alligators or birds, another reason is because if you have small children or are one you might not want to get into an eye to eye battle with and Komodo Dragons because they sometimes eat what they see so you might become its snack. If you come across one of these savage beasts you would want to look at it while you back up slowly until you are far enough till you know you can out run it. These beasts are as fast as an alligator so don't think that they won't catch you if you walk away with your eyes off it, it is like a situation with an alligator, you want to look at it and back up slowly till you are far enough distance till you know you can outrun it or if it is chasing you, you should run in zig zags until it tires out then run away to a safe place. A way to prevent these beasts from being in sight. A way to prevent these from being around is by calling an animal control inspection to scope out where you live and make sure there are no Komodo Dragons or tracks of them either. A way to get rid of them if there are Komodo Dragons is to call animal control and tell them to come get it, but if it is too close to you for that then you want to make loud noises and make yourself as big as you can kind of like a bear. Read these lines from "My Father Is a Simple Man."I can alwaysremember that here was a manwho was a worker and provider,who learned the simple factsin life and lived by themWhich word best matches the connotative meaning of simple as it is used in these lines?real and uncomplicatedless sophisticated innocent and purelacking intelligence Please I need help 100 Points!!!!! Dont answer whatever to just get points I'm giving all my points PLEASE HELP!!! Mark wants to be a web designer. He recently found out that a local company isproviding a certification program in web design. The program is free and if hedoes well, the company will offer an entry-level position upon completion. Marklikes the idea of hands-on learning and has never been excited about college.He would rather avoid having to sit through the basic freshman and sophomorecollege classes and go directly into doing what he loves. This opportunity willallow him to do just that. The only problem is that his parents think that a four-year college education is the only way to secure a good income. Are his parentsright? Explain what you think Mark should do in this situation. What is osmoregulation? Which statement best describes the purpose of meetinghouses in colonial New England? Find the slope between the two given points A(3,7), B(9,-5) Please answer quicklyGiven: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A B)? How are molecules built?BondingAtomic RaysPhase ChangesAll of these Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.k812k+2k+8k+10k-2k-8 Why did the United States decide to remain neutral and not get involved in the war between France and Britain?They had problems in the Louisiana Territory and were battling Choctaw in New Orleans.They were a new nation and still recovering from the revolution against Britain.They planned to enact an embargo against both countries and were not willing to choose sides.They wanted to retain access to the ports of both countries along the Mississippi River. What can help overcome a positive enthalpy of solution and allow a solidsolute to dissolve in water?A. A decrease in entropyB. A large amount of energy releasedC. A large amount of energy absorbedD. An increase in entropy