8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.
Answers
9514 1404 393
Answer:
both cost $13 each
Step-by-step explanation:
Let p and a represent the costs of pecan and apple cheesecakes, respectively.
3p +7a = 130 . . . . . . Lisa's sale
12p +14a = 338 . . . . Jasmine's sale
Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.
Subtracting twice the first equation from the second eliminates 'a'.
(12p +14a) -2(3p +7a) = (338) -2(130)
6p = 78 . . . . . simplify
p = 13 . . . . . . .divide by 6
Substituting into the first equation gives ...
3(13) +7a = 130
7a = 91 . . . . . . . subtract 39
a = 13 . . . . . . . . divide by 7
The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.
__
A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.
Related Questions
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answers
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
HELP PLEASE HELP ME YOU'LL GET 50+ POINTS BRAINLIEST AND BRAINLIEST PLEADE HELP EM ANSWER CORRECTLY
Answers
Answer:
b
Step-by-step explanation:
its a curved line downwards linear is a straight line and it is decreasing
Find the surface area of the prism.
15mm 10mm 8mm
A. 320 mm2
B. 400 mm2
C. 494.2 mm2
D. 502 mm2
Answers
How do I Solve 6=18x
Answers
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
Answers
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ7
Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
56,316 divided by 6 need step by step instructions
Answers
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the
Answers
Help please and thank you if you do all of them I will mark you as Brainliest
Answers
rounded to tens: 30,190, 5,010 and 20
rounded to tenths: 62.6, 1.1, 0.0, and 270.6
rounded to hundredths: 0.12, and 98.51
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answers
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Find the surface area of the cylinder and round to the nearest tenth.
Answers
http.///bitily8288292
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answers
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
find the value of x.
Answers
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answers
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
what is the equation of the following graph in vertex form
Answers
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?
Answers
Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
Learn more about forming equations here:
https://brainly.com/question/11938672
What is the median of the numbers 63,5,0,0,45,2,23,16
Answers
Answer:
10.5
Step-by-step explanation:
63,5,0,0,45,2,23,16
order from smallest to greatest
0, 0, 2, 5, 16, 23, 45, 63
median = center number
(5 + 16) / 2 =10.5
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answers
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
HELPPP!!!! Due today
The volume of a prism is 18 cubic inches. What is the
volume of a pyramid with the same base and height?
Answers
Answer:
1944
Step-by-step explanation:
I used the pyramid formula and used 18 as the bases and heights since it’s a perfect triangular pyramid.
A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plot the value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude of O meters. Drawing Tools Click on a tool to begin drawing. Delete Undo Reset
Answers
Answer: the answer is 2.5 meters long
Step-by-step explanation:
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answers
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answers
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answers
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
To know more about an exponential function follow
https://brainly.com/question/22967542
#SPJ2
Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2
Answers
Choose the equation that best describes the image.
Answers
Answer:
D
Step-by-step explanation:
your welcome!!!!!!! :D :)
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
Answers
2(x+5)=3x+1 = 9
Subtract
2
x
2x from both sides then Subtract
1
1 from both sides.
Convert the fraction 6/10 to a decimal.
Answers
Answer:
0.60
Step-by-step explanation:
Answer:
.60
Step-by-step explanation:
10+(2x3)^2 divied by 4x1/2^3
Answers
Answer:
11.125
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
please mark this answer as brainlest
Simplify 1/4^-2 x 1/4^-7
Answers
Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
Answers
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
Learn more about hours worked here:https://brainly.com/question/568252
#SPJ1
50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answers
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.