Answer:
The cost of a can of popcorn is $10.
The cost of a box of cookies is $5.
The cost of a can of popcorn is $20
Step-by-step explanation:
First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.
Defining the variables:
x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcornAmy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:
2*x + 3*y + 1*z=65 Equation 1
Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:
4*x + 6*y + 3*z=140 Equation 2
Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:
8*x + 8*y + 5*z=250 Equation 3
Then the system of equations is formed by these three equations.
A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.
Isolating z from Equation 1:
[tex]z=65-2*x-3*y[/tex] Equation 4
Replacing in Equation 2:
4*x + 6*y + 3*(65 -2*x-3*y)=140
4*x + 6*y + 195 - 6*x - 9*y= 140
-2*x - 3*y=140-195
-2*x - 3*y=-55
2*x + 3*y= 55
and isolating x:
[tex]x=\frac{55-3*y}{2}[/tex] Equation 5
Replacing in Equation 4:
[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]
z=65 - (55-3*y) - 3*y
z= 65 -55 + 3*y - 3*y
z= 10
So the cost of a can of popcorn is $10.
Replacing equation 5 and the value of z in equation 3:
8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250
[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250
4*(55 -3*y)+ 8*y + 5*10=250
4*55 - 4*3*y + 8*y + 50=250
220 - 12*y + 8*y + 50=250
-12*y + 8*y= 250 -220 - 50
-4*y= -20
[tex]y=\frac{-20}{-4}[/tex]
y= 5
So the cost of a box of cookies is $5.
Finally replacing the value of y in Equation 5 you get the value of x:
[tex]x=\frac{55-3*5}{2}[/tex]
[tex]x=\frac{55-15}{2}[/tex]
[tex]x=\frac{40}{2}[/tex]
x=20
Finally, the cost of a can of popcorn is $20
Simplify this awnser ty
Answer:
8^3=512,8^2=64,8^1=8,8^0=1
Step-by-step explanation:
banana cheese salad with cheese on top
Step-by-step explanation:
question is notcorrect
Answer:
[tex]x<-5[/tex]
Step-by-step explanation:
[tex]4-x<9[/tex]
Subtract 4 to both sides
[tex]x<-5[/tex]
Hope this helps and pls do mark me brainliest if you can:)
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
8³ times 8⁷ i need help asap
Answer: 8¹⁰
Explanation: Since these two powers have the same base of 8, you can
multiply them together by simply adding their exponents to get 8¹⁰.
A common mistake in this problem would be to
multiply the bases together and give an answer of 64¹⁰.
It's important to understand however that the 8's can't be
multiplied together because they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
can anyone help this is my last try agian
Answer:
The bakery sold 340 that day
Step-by-step explanation:
119 is 35 percent of 340
PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers
2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?
3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.
4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.
5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?
Answer:
1.) The two numbers are 36 and 6.
2.) 42cm + 20cm = 62cm
3.) 3km/hr = rate of current
4.) Each cost 0.79 cents
5.) Mixed is 16 lbs
Blended is 28 lbs
Step-by-step explanation:
Is y=1/4x a function
what is the x intercept for y= 3x - 8
Answer:
The x-intercept would be 8/3.
Answer:
(8/3, 0)
Step-by-step explanation:
which is the choice to the inequality below?
x/6>7
Answer:
[tex]x > 42[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} > 7[/tex]
Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].
Simplify it. [tex]x > 42[/tex]
Therefore, the answer is [tex]x > 42[/tex].
Hope this helped! If not, please let me know! <3
which of the following is equivalent to (4x^2)^3
Answer:
x=3
x=−3
Step-by-step explanation:
Answer ASAP!!! LOOK AT PIC FOR QUESTION.
Answer:
A
Step-by-step explanation:
The equation starts at the coordinate point (0,0)
Answer:bdusnsbs
Step-by-step explanation:
A tortoise makes a journey in two parts it can either walk at 4cm/s or Crawl at 3cm/s if the tortoise walks the first part and crawl the seconds it takes 100 seconds find the length of the two parts of the journey
Answer:
walking 57 seconds Crawling 43 seconds
Step-by-step explanation:
100s
Walking + crawling
4cm/s. +. 3cm/s
= 7cm/s
walking length= 4cm/s/7cm/s x 100s
=57.14 or 57s
crawling =100s- 57s
=43s
Please help ;^;^;^;^;
Answer:
-5
Step-by-step explanation:
The numbers went from -9t to -8t That means 1t=-5
Answer:
t = -5
Step-by-step explanation:
-9t - 5 = -8t
+-9. +-9
-5 = t
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks w and the number of appetizer recipes a. Write your answer as an equation with a first, followed by an equals sign
Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
Gemma has 23 apples and she gives her brother 5 apples what percent did she give to her brother?
Plz help?
Answer:
4.6%
Step-by-step explanation:
The width, w, of a rectangular pool is 15 feet. The area of the rectangular pool is no more than 75
square feet. Which inequality represents all possible lengths of the pool?
Answer:
1. W=15 L=5 or W=5 L=15.
Step-by-step explanation:
Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}
Answer: No
Step-by-step explanation: Multiple Y values come from the same X value, which means its not a function.
Answer:
No
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
What is the slope of the graph shown below?
-3
7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-2
-3
-4
-5
-6
.7
A. -3
B. 4
C. 4/3
O D. 1/4
Answer:
2435
Step-by-step explanation:
I need help answer this Question!
-6+3(-4-2x)>=-16-6x
There is no solution for that problem....
What is the equation of this line?
y=12x−2
y=−12x−2
y=2x−2
y=−2x−2
A box contains 20 calculators, and two of them are defective. Three calculators are randomly selected from this box and inspected to determine whether each of them is good or defective. Is this experiment a binomial experiment? Why or why not? Explain your REASONING and provide EVIDENCE
Answer:It is a binomial experiment
Step-by-step explanation:
A binomial experiment is an experiment that has a fixed number of independent trials with only have two possible outcomes. This outcome could either be a yes or No.
example is when a coin is toss one can set it as either I will get a head or a tail.
The experiment is binomial because it has a fixed number of trial which is 3 calculator that has been picked,
It has two outcome which is either good or bad calculator and the each trial is independent of each other.
∆ABC is isosceles. If m∠B = 35° what is the measure of ∠C?
Answer:
If ABC is isosceles, then <C is 35, and <A should be 110.
Step-by-step explanation:
Evaluate:
(-4) (-3)
Another easy 10 points for yall
Answer:
12
Step-by-step explanation:
tysm ily
(-4)(-3)
= 12
Easy lol
when 3+3x-5-8x is simplified, the result is?
Answer:
−5x−2
Step-by-step explanation:
The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevator descends. After 25 seconds, the elevator for the miners begin to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time. Which elevator is deeper?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Equipment elevator Descent = 4 fts per Second
Miners elevator descent = 17 ft/sec
Miner's elevator begins descent 25 seconds after equipment elevator :
Elevation after another 12 seconds :
Descent = (speed * time)
Equipment elevator = 4 * (25 + 12) = 148 ft descent
Miner's elevator = 17 * 12 = 204 ft descent
The Miner's elevator is deeper at 204 feets.
What is the measure of angle B?
A. 35°
B. 55°
C. 125°
D. 65°
Answer:
B.
Step-by-step explanation:
B.55
I need help with this graph.
Answer:
It doesn’t represent a function
Step-by-step explanation:
Which shows the image of quadrilateral ABCD after the transformation Ro, 90?
Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)
Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).
Find out more on transformation at: https://brainly.com/question/1548871
Answer:
B)
Step-by-step explanation:
edge
is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2
Answer:
113.1 in²
Step-by-step explanation:
A = pi × r²
= pi × 6²
= 113.1 in²
The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood floors, and the contractor charges10 $ per square foot. How much will the hardwood floors cost? The hardwood floors will cost $
Given:
Volume of a cubed room = 8000 cubic ft
Cost of floor hardwood = $10 per square foot
To find:
The total cost of floor hardwood.
Solution:
Let the each side of cubed room be x ft.
Volume of a cube is cube of its side.
Volume of a cubed room is 8000 cubic ft. So,
[tex]x^3=8000[/tex]
Taking cube root on both sides.
[tex]x=20[/tex]
So, length of each of room is 20 ft.
Area of base = length × breadth
So, area of base of room is
[tex]20\times 20=400\text{ ft}^2[/tex]
It means, 400 sq ft hardwood is required for the floor.
Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is
[tex]400\times 10=4000[/tex]
The hardwood floors will cost $4000.