Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the
day, Victor had sold $95.25 worth of cookies and cupcakes. If he sold 68 cupcakes and cookies combined, how many
cupcakes were sold and how many cookies were sold?
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
An equation is formed when two equal expressions. The number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of cupcakes sold be represented by x, while the number of cookies sold is represented by y.
Now, the total number of cupcakes and cookies sold combined is equal to 68. Therefore, the equation can be written as
x + y = 68
x = 68 - y
Also, Each cupcake sold for $2.25 and each cookie sold for $0.50. And the total sale that Victor made is of $95.25. Therefore, the equation can be written as,
2.25x + 0.50y = 95.25
2.25(68 - y) + 0.5y = 95.25
153 - 2.25y + 0.5y = 95.25
-2.25y + 0.5y = 95.25 - 153
1.75y = 57.75
y = 33
Now, substitute the value of x in the first equation.
x + y = 68
x + 33 = 68
x = 35
Hence, the number of cupcakes that Victor sold is 35, while the number of cookies that Victor sold is 33.
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Veterinary doctors marked 30 deer and released them. Later on, they counted 150 deer,
12 of which had marks. To the nearest whole number, what is the best estimate for the
deer population?
Answer:
375
Step-by-step explanation:
12/150 is 0.08, which is 8%
this mean 8 perfect of the population were marked
8 percent is 30 deers
30/0.08=375
Please help me with this homework
Answer:
502.65 cubic feet
Step-by-step explanation:
volume of cylinder = πr²j
=π(4)²(10)
=502.65
how to solve (2^3)^4
Answer: 2^12
Step-by-step explanation:
Answer: 4096
Step-by-step explanation:
hey can someone help me with this immediately! i’ll be giving out brainiest if u don’t leave a link and don’t guess!
Answer:
101
Step-by-step explanation:
((3x(4+6))-9)=21
(4x(21-1))=80
80+21=101
:D
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
resuelve la inecuación
(3x<15)
Answer:
x<5
Step-by-step explanation:
(3x<15)
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<15/3
Divide 15 by 3 to get 5.
x<5
find the missing length!!!!!
Answer:
2x^2+4x
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
9x^2+2x
2x^2+4x
(if you would like an explanation let me know :D)
PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?
Answer:
A. there must be a vertical asymptote at x=c
Step-by-step explanation:
Answer: A
Step-by-step explanation:
got it right edge 2022
Determine the period of the following graph.
Answer:
3π
Step-by-step explanation:
period = 3π
PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
2/3 - 3/2y + 1/3y + 4 = 0
Answer:
y = 4
Step-by-step explanation:
(2/3 + 4) + (-3/2y + 1/3y) = 0
(-3/2y + 1/3y) = -4 2/3
-9/6y + 2/6y = -14/3
-7/6y = -14/3
cross-multiply:
-21y = -84
y = 4
Answer:
y = 4
Step-by-step explanation:
Please use parentheses for clarity, remembering what big differences they make in expression values.
I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0" actually means
2/3 - (3/2)y + (1/3)y + 4 = 0
The LCD here is 6, which is the product of the denominators 2 and 3.
Then your "2/3 - 3/2y + 1/3y + 4 = 0" becomes:
4 - 9y + 2y + 24 = 0, which simplifies to:
28 - 7y = 0. Solving this, we get y = 4
Leo is constructing a tangent line from point Q to circle P. What is his next step?
Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.
Mark the point of intersection S of circles R and P, and construct line QS.
Construct arcs from point Q that are greater than half the length of segment PQ.
Construct a circle from point P that has a radius of P and the intersection of circles P and R.
Answer:
hello your question has a missing diagram attached below is the missing diagram
answer :
Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )
Step-by-step explanation:
when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it
Answer:
Mark the point of intersection S of circles R and P, and construct line QS.
Step-by-step explanation:
This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points. If your in FLVS, it would be in lesson 7.04. I also got this right on my test. Good luck!
The parabola is swached vertically by a factor of 5.
Answer:
answer below
Step-by-step explanation:
I think you mean "squashed" or "stretched" vertically by a factor of 5.
f(x) is the original parabola equation
g(x) = 5f(x) is vertically stretched by a factor of 5
(x,y) -> (x , 5y)
Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.
What is the change factor for this function?
Answer:
.86
Step-by-step explanation:
Exponential function formula
[tex]y = a ( 1 + or - r ) ^t[/tex]
where a = initial value
r = rate of change
and t = number of years
given the equation y = 34000(0.86)^x.
r = .86
Hence the change factor is .86
Ordena los términos del 1 al 5, de tal manera que
cada término se construya del término (s) anterio
Explica por qué cada figura está en el lugar que
eliges. Los términos son: cuadrilátero, cuadrado
rombo, rectángulo y paralelogramo
Answer:
El orden es;
1) Cuadrilátero, 2) Rombo, 3) Paralelogramo, 4) Rectángulo, 5) Cuadrado
Step-by-step explanation:
Los términos dados son;
Cuadrilátero; Una forma con cuatro lados
Rombo; Un cuadrilátero con cuatro lados iguales
Cuadrado; Un cuadrilátero con cuatro lados iguales y cuatro ángulos iguales y dos lados paralelos opuestos
Rectángulo; Un cuadrilátero con cuatro ángulos rectos y dos lados paralelos opuestos
Paralelogramo; Un cuadrilátero con un par de lados paralelos opuestos
Observamos que todos los términos son cuadriláteros, por lo tanto, el cuadrilátero es el primer término
Por lo tanto, tenemos,
La primera forma es el cuadrilátero,
El cuadrilátero se transforma en un rombo (un cuadrilátero con lados iguales)
El ángulo del rombo se ajusta para dar un paralelogramo
El ángulo de paralelogramo dado cuatro ángulos iguales de 90 ° para dar un rectángulo
El rectángulo se ajusta para dar un cuadrado con todos los lados iguales