Gina sells 216 cakes in the ratio small :medium:large 5:7:12. The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake. Her total profit id £648.45. Work out the profit for one small cake.
Answers
Answer:
The profit for one small cake is £1.31.
Step-by-step explanation:
It is given that that Gina sells 216 cakes in the ratio small:medium:large 5:7:12.
[tex]5+7+12=24[/tex]
Number of small cakes = [tex]216\times \frac{5}{24}=45[/tex]
Number of medium cakes = [tex]216\times \frac{7}{24}=63[/tex]
Number of large cakes = [tex]216\times \frac{12}{24}=108[/tex]
The profit for one medium cake is twice the profit for one small cake. The profit for one large cake is three times the profit for one small cake.
Let the profit for one small cake be x. So the profit for one medium and large cake are 2x and 3x respectively.
Her total profit id £648.45.
[tex]45\times x+63\times 2x+108\times 3x=648.45[/tex]
[tex]45x+126x+324x=648.45[/tex]
[tex]496x=648.45[/tex]
Divide both sides 496.
[tex]\frac{496x}{496}=\frac{648.45}{496}[/tex]
[tex]x=1.30735887097[/tex]
[tex]x\approx 1.31[/tex]
Therefore the profit for one small cake is £1.31.
Related Questions
The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?
Answers
windows on first floor = 52
windows on 8th floor (52 - 6 * 7) = 10
average windows = (52 + 10)/2 = 62/2 = 31
8 floors * 31 average windows = 248.
Answer:
There are 248 windows on the first eight floors.
Step-by-step explanation:
As given:
The ground floor has 52 windows.
This question is based on arithmetic sequence:
a1 = 52
d = - 6 (each floor has six fewer windows than the floor below it)
[tex]a_n=a1+(n-1)d[/tex]
[tex]a_8 =a1+7d[/tex]
=> [tex]52+[7 \times (-6)][/tex]
=> [tex]52-42 =10[/tex]
We know:
[tex]S_n= n/2 \times (a1 +a _n)[/tex]
[tex]S_8 =8/2 \times(52+10)[/tex]
= 248
Therefore, there are 248 windows on the first eight floors.
A basketball player scored 2222 times during one game. hehe scored a total of 3030 points, two for each two-point shot and one for each free throw. how many two-point shots did hehe make
Answers
The next term of the arithmetic sequence 39,60,81,102,123.....is
Answers
so the next number is 123 +21 = 144
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let f ( x ) f(x) represent Primo Pizza's profit x x days after June 1. Let g ( x ) g(x) represent Pizza Supreme's profit x x days after June 1. Suppose Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme. Express the function f f in terms of the function g
g.
Answers
f (x) = Primo Pizza's profit
g (x) = Pizza Supreme's profit.
According to the statement we have:
"Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme"
Therefore, we can write one function in terms of the other in the following way:
f (x) = 2g (x)
Answer:
the function f in terms of the function g is:
f (x) = 2g (x)
The profit of Primo Pizza is twice the profit of Pizza Supreme each day. Therefore, if g(x) represents the profit of Pizza Supreme x days after June 1, then f(x), representing Primo Pizza's profit, is given by f(x) = 2g(x). This means if Pizza Supreme's profit on a particular day is $500, Primo Pizza's profit on the same day is $1000.
Explanation:In this problem, we are given that the profit of Primo Pizza (represented by the function f(x)) is two times larger than the profit of Pizza Supreme (represented by the function g(x)). This relationship between the two profits can be expressed as f(x) = 2 * g(x). So, if you know the profit of Pizza Supreme on a particular day (g(x)), you can determine the profit of Primo Pizza on that day by doubling the profit of Pizza Supreme.
For instance, if Pizza Supreme's profit 10 days after June 1st is $500 (so, g(10) = $500), then Primo Pizza's profit on the same day would be f(10) = 2 * g(10) = 2 * $500 = $1000. Thus, Primo Pizza is making twice the profit of Pizza Supreme each day.
Learn more about Functions here:https://brainly.com/question/30721594
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3, 12, 48, 192, 768, . . .
This sequence has a
A.] common difference of 4
B.] common ratio of 4
C.] common difference of [tex] \frac{1}{4}[/tex]
D.] common ratio of [tex] \frac{1}{4}[/tex]
Answers
The explanation for this would be:
To get the common ratio for get the simplest form of the two numbers, so 12/3 = 4 and 48/12 = 4So we know that their common ratio is 4.
To check:
3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4 = 768
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16
Which of the following is not a method used to prove triangles congruent?
A) AAS Theorem
B) SSA Postulate
C) SAS Postulate
D) ASA Postulate
Answers
Answer:
B) SSA Postulate
Step-by-step explanation:
Two triangles are congruent if they are of the same shape and size.
Two triangles can be proved congruent by AAS ,SAS ,ASA ,SSS ,HL postulates.
Two triangles are congruent if two angles and one side of both the triangles are congruent that is AAS and ASA postulates.(option A and D)
The triangles can be congruent by SAS that is if two sides and included angle of two triangles are congruent then the triangles are congruent .(Optionc)
Option B that is SSA is not a congruence postulate.
I WILL GIVE 40 POINTS FOR EACH QUESTION REALLY NEED HELP THERE ANOTHER POST FOR THE OTHER QUESTION IT WILL BE ANOTHER 40 AS WELL AND MARKED AS BRAIN~LEST AND STAR RATEING
Answers
The fourth page is The last option
The fifth page maybe the last one (im not sure)
Answer:The first page is S^2
The fourth page is The last option
The fifth page maybe the last one
Step-by-step explanation:
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house
Answers
However, I will tell you how to solve it and you can apply on the graph you have.
Now, we are given that:
x-axis represents the distance in ft
y-axis represents the time in minutes
To get the time that she has walked when she reaches the farthest point from her house, all you have to do is:
1- go to the greatest point on the x-axis. This point would be representing the farthest distance.
2- get the value of the y corresponding to the x-point you got in step one. This would be the time walked when she reaches the farthest point which is the value you are looking for.
Hope this helps :)
Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?
24
36
48
60
Answers
she can make 48 different sandwiches
Answer:
The answer is 48
Step-by-step explanation:
For every different sandwich, she needs to choose one breat, one meat and one cheese.
For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.
There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.
Need the answer fast, anyone know?
Answers
Y> or = -1
Because if you plug in a number then it's the only one that fits
the gray is a sidewalk and the turquoise is grass. Both are squares. What is the area of the sidewalk?
A) 4 ft2
B) 36 ft2
C) 44 ft2
D) 48 ft2
Answers
Answer:
C 44 ft2 i just took the test .
Step-by-step explanation:
the number of squares in 15 quilts if 6 quilts have 288 squares
Answers
[tex]288 \div 6 = 48 \\ 48 \times 15 = 720 \\ [/tex]
720 squares
The radius of a circle is 10 feet. What is the angle measure of an arc 4 feet long?
Answers
Hope this helps u
which method is most efficient in solving a system of linear equations when the two equation have x-values with opposite coefficient values
A. GUESS AND CHECK
B. GRAPHING
C. SUBSTITUTION
D. ELIMINATION
Answers
For example, consider the system of equations below
2x+3y = 9
-2x+6y = 18
Adding straight down will have the x terms (2x and -2x) add to 0x which is just 0. The x terms will go away. In this case, the 2 and -2 are opposite coefficient values for the x terms.
Determine if each set of ordered pairs represents a function
Answers
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Answer:
Function:(7,-4), (0,9), (2,-2)
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Step-by-step explanation:
edge
What is the slope of a line perpendicular to the line y=3/4x+1
Answers
The slope of the given line is 3/4. It's simply the value in front of the x. To be more specific, the equation given to us is in the form y = mx+b where m = 3/4 is the slope.
Flip the fraction and then the sign
flip the fraction: 3/4 ----> 4/3
Then flip the sign: 4/3 ----> -4/3
In other words, we take the negative reciprocal
Notice how the original slope 3/4 and the perpendicular slope -4/3 multiply to -1
Samantha has 3 times as many baseball cards as mark. mark has 12 baseball cards. write an equation that shows how many cards samantha has.
Answers
hope this helped :)
How many solutions does the following equation have?
4(y - 30) = 4y + 12
a. No solutions
b. Exactly one solution
c. Infinitely many solutions
Answers
a. No solutions
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
Answers
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
(3, 2)
(-3, 2)
(-3, -2)
Answers
Answer:
i can confirm the above awnser is correct
How do you represent 4/7 + 3/14 on a number line?
Please Help Asap!!
Answers
Orlando bought a new couch for 2,736, using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
Answers
y: debts after each month
y = $2736 - $114 * x
I hope this is self-explanatory.
Answer:
[tex]y = 2736 - 114x[/tex]
Step-by-step explanation:
It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.
we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.
Let the total number of month we are calculating = x
Payment per month = $114
Hence payment made in x months = $114x
Hence payment still owned by Orlando = $2736-$114x
Above equation gives us the dues on Orlando
a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-south. Is there a property for the boundary line that runs east-west
Answers
No, there is no property for the boundary line that runs east-west.
Explanation:No, there is no property for the boundary line that runs east-west. This is because if we have a triangle with side lengths 45 meters, 60 meters, and 70 meters, and the 60 meter side runs north-south, then the other two sides must be at an angle to the north-south line. It is not possible for one of the sides to be parallel to the north-south line (east-west) because that would create a rectangle rather than a triangle.
A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed
Answers
need help ive always had trouble with writing functions.
Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. write a function rule for the cost of n pieces of candy.
A. C(n)0.25n-0.75
B. C(n)=0.75n-0.25
C. C(n)=1.0n
D. C(n)=0.75n
Answers
n pieces of candy = .75 cents x n pieces minus .25 cent coupon.
The area of a parallelogram is 400m2 the base is 25m find the length of the height
Answers
A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
Answers
Hope this helped :)
Answer:
Total number of mustard packets = 16,480
Explanation:
A restaurant buy mustard box = 160
Each mustard box contain packet = 103 packet
In order to find the total number of packets
Total number of packet = (number of mustard boxes)*(number of packets in a box)
Now put the values in given formula
Total number of packet = 160 * 103
Total number of packet = 16,480
final answer, I hope it helps
A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *
Answers
Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Write a function that models the inverse variation.
Answers
y = k / x
We observe that we must find the value of k.
For this, we use the following fact:
"x = 1 when y = 12"
Substituting we have:
12 = k / 1
Therefore k = 12
Thus, the equation is:
y = 12 / x
For x = 20 we have:
y = 12/20
y = 6/10
y = 3/5
y = 0.6
Answer:
when x = 20, and is:
y = 0.6
See attached graph.