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

Tess studied for 2/3 of an hour on Monday and 1 1/2 hours on Tuesday. How much more time did she spend studying on Tuesday than on Monday?

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Answer:

she spent  2 1\6 studying more on tuesday because you got to add

Montel uses 8 oz of sugar to make 36 fluid ounces of lemonade if it makes 180 fluid ounces of lemonade to bring to a party how many ounces of sugar will he use

Answers

Answer:

40 oz of sugar

Step-by-step explanation:

1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need

180/36= 3

This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.

8ounces of sugar x 5 =  40ounces of sugar to make 180fluid ounces of lemonade

How would you solve this?

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Answer:

For the equation, you should subtract 2x on both sides to get -y = -2x - 4.  Flip the y's negative sign to get a proper function which is y = 2x + 4.  The y-intercept is at (0, 4) and each unit will move two units up along the x-axis.

what is the volume of the cylinder below?​

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Answer:

option B is the correct answer for this question

What is the probability of spinning an odd number

Answers

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be 23 . However, if there are 11 spaces, the probability will be 611 .Jun 9, 2018

Answer:

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be 23 . However, if there are 11 spaces, the probability will be 611

if any body does Lincoln Douglas debate, please let me know because I could use some help with how wording on part of my case.

Answers

Answer:

Step-by-step explanation:

the Lincoln-Douglas debates propelled Lincoln's political career into the national spotlight, while simultaneously stifling Douglas' career, and foreshadowing the 1860 Election. By 1858, Stephen A. Douglas was the most prominent politician in the West. Lincoln-Douglas debates, series of seven debates between the Democratic senator Stephen A. Douglas and Republican challenger Abraham Lincoln during the 1858 Illinois senatorial campaign, largely concerning the issue of slavery extension into the territories. The result of the debates was inconclusive. Senators were then chosen by state legislatures, and in the 1858 legislative election, Illinois Republican candidates slightly outpolled their Democratic rivals. Southerners believed that Abraham Lincoln was an abolitionist and also felt betrayed by Stephen Douglas's suggestion that territories could refuse to grant slavery legal protection. In 1860, Lincoln won the Republican Party's presidential nomination.In that election, he faced Douglas (again), who represented the Northern faction of a heavily divided Democratic Party, as well as Southern Democrat John C. Breckinridge and Constitutional Union candidate John Bell.

If 9x - 11= 12, what is the value of 6x ?

Answers

Answer:

15.333...

Step-by-step explanation:

9x-11=12

9x-11(+11)=12(+11)

9x=23

23/9x= 2.555...

2.555(6) = 15.333...

The value of x would be 15.3. Because you put 12 under 11 and 9 and you multiply

Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
12​

Answers

Answer:

32%

Step-by-step explanation:

Area of rectangle ABCD = 20 * 30 = 600 Sq cm

After increasing the length and width of the rectangle by 20% and 10% respectively.

New length = 30 + 20% of 30 = 30 + 6 = 36 cm

New width = 20 + 10% of 20 = 20 + 2 = 22 cm

Area of new rectangle = 36*22 = 792 Sq cm

Increase in area = 792 - 600 = 192 Sq cm

Percentage increase in area

= (192/600) *100

= 32%

Answer:

nnnnnnnfjnjzfv

Step-by-step explanation:

Find the average of -1/8,3/4,3/4,-1/2

Answers

Answer:

7/32

Step-by-step explanation:

Sum is:

-1/8 + 3/4 + 3/4 - 1/2 =-1/8 + 6/4 - 1/2 =-1/8 + 12/8 - 4/8 =(-1 + 12 - 4)/8 = 7/8

Number is 4

Average is:

sum/number =7/8 : 4 =7/32

1. Temperature: Which number from the following list of temperatures (in
degrees fahrenheit) is the coldest?
17
15
27

Answers

15 degrees Fahrenheit
The answer is 15 hope this helps!

Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?

Write your answer as a mixed number in simplest form.

Answers

Answer:

116/8 - 87/8 = 29/8 = 3 5/8 gal

Step-by-step explanation:

John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month

Answers

Answer:

tricky picky question pal,

Step-by-step explanation:

What are the awnswes

Answer:

d > -7.

Step-by-step explanation:

I Drive 89 miles in 3 days what is my rate of miles to the amount of days I drove​

Answers

Answer:

29.666...

Step-by-step explanation:

Answer:

29. Remainder: 2/3

Step-by-step explanation:

89/3 = 29.6666.

The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?

Answers

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.

Amy glued purple ribbon around the edge of her circular mirror. She used
63 inches of ribbon. This was just enough to go once around the mirror. What
is the approximate diameter of her mirror?

Answers

Answer: The answer is 20in

Answer:

20 inch

Step-by-step explanation:

Plzzzz plzzz plzzz ps keiskskks

Answers

Answer:

42

Step-by-step explanation:

x/6=7

x=42

Answer:

42 should be the answer

Step-by-step explanation:

x ÷ 6 = 7

x ÷ 6 x 6 = 7 x 6

x = 42

−3x−9y=−12
−3x+7y=4
solve for x

Answers

Answer:

[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]

Step - by - step explanation :

[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]

USING ELIMINATION METHOD :

[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )

[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )

Subtracting equation ( ii ) from ( i )

Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.

[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]

[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]

_____________________

➺ [tex] \sf{ - 16y = - 16}[/tex]

➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]

➺ [tex] \sf{y = 1}[/tex]

The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :

➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]

➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]

➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]

➺ [tex] \sf{ - 3x = - 3}[/tex]

➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]

➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]

Hence , the value of x is 1 .

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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]

There are many methods to solve such simultaneous equations. They are :

Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.

Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.

Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.

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✑ Learn more :

Solve system of equations using elimination method :

https://brainly.com/question/20160304

What is the substitution method ?

https://brainly.com/question/15936865

Hope I helped ! ツ

Have a wonderful day / night ♡

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work out what -48=6(x-3) is

Answers

Answer:

brainliest plssssss

Step-by-step explanation:

what is Use the table to solve the inequality 2x<2.

x −1 0 1 2 3
2x

Answers

Answer:

x less than 1

Step-by-step explanation:

please help i need this asap

Answers

It the punquation of ratio b

Answer:

Step 1

Step-by-step explanation:

He didn't distribute the 5 to the 3 inside the parentheses in the first term, or the 2 to the 2 in parentheses in the second term. If he had distributed right, the equation would be 10x-15+14x+4-23

What will be the rule?

Answers

Answer:

Step-by-step explanation:

I haven't done this in a long time so I don't know how you would write this but I will explain it.

For every 6 in puts you will get 1 out put.

also for the blank space on 42 is 7.

Hope this helps!!

x-2y = 12
15x + 3y = -44
Elemination

Answers

Answer:

x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15  therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term

so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/33

Evaluate the expression when x-6

5x + 3
———-
3
Please explain too! I will give Brainiest

Answers

If x=6 then that’s 5(6) =30+3 =33 and if your dividing 33/3 makes 11

Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace said it would be $118.30 but Curtis said the original price should be $130, which person do you agree with? Why?

Answers

Answer:

The original cost is $130

Step-by-step explanation:

Step one:

given data

We are told that Rey paid $91 for a watch that was on sale for 30%

let the original cost be x

so that 30% off x= $91 --------not the word  OFF not OF

Required

the original cost x

Step two

hence

x- 30/100*x= 91

x-0.3x=91

0.7x= 91

divide both sides by 0.7

x= 91/0.7

x=$130

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
Is the following statement true or false?
The triangle proportionality theorem only applies to right triangles.

A.) False
B.) True

Answers

I think it is false

I'm not sure if this is correct

simplify [tex]\sqrt[4]{6^4}[/tex]

Answers

Answer:

6

Step-by-step explanation:

We can rewrite the expression as

(6^4) ^ (1/4)

We know that a^ b^c = a^ ( b*c)

6^4 ^ (1/4)

6 ^ ( 4*1/4)

6

Answer:

6

Step-by-step explanation:

[tex] \sqrt[4]{ {6}^{4} } [/tex]

The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer

[tex]6[/tex]

A man spent 58% of his income and the amount of money left was $210.00.Find his income.

Answers

Answer:

500 dollars is his total income

Step-by-step explanation:

MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.

Answers

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

y - 7/8 = 3/4

what is y


;-;

Answers

Answer:

y = 13/8

Step-by-step explanation:

Here are the steps I did:

1. y - 7/8 = 3/4 x 2/2

2. y - 7/8 + 7/8 = 6/8 + 7/8

3. y = 13/8

Answer:

Y in (-oo:+oo) Y- (7/8) = 3/4 // - 3/4. Y- (7/8)- (3/4) = 0. Y-7/8-3/4 = 0. Y-13/8 = 0 // + 13/8. Y = 13/8. Y = 13/8.

Step-by-step explanation:

What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)

Answers

4,4 because when you add (2,-1) to x+2, y+5 2+2=4 -1+5=4 so you end up with (4,4)
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