The Price of Pollo
In El Salvador, "Country Chicken" is the most popular fried chicken franchise
in the country. Like most fast-food establishments, they provide a carry-out
service on their menu. You can buy their chicken in several different
quantities: 2, 6, 9, 15, or 21 pieces per box.
Over the years, prices have steadily risen, as things have a way of doing in
many areas of modern life. For example, on July 1, 1993, a box of two
pieces cost 8.35 colones, and on December 31, 1995, that same purchase
would cost you 11.25 colones.
(Note: prices are given in their original Salvadorean currency, colones; $1 U.S
colones.)
Using these two data 'points', you can form a linear equation of the slope-inter
mx + b. The independent variable x is time; the dependent variable y represe
Your task for this problem is to:
1. Find this equation.
2. Use your equation to predict what the price should have been for a 2
July 1, 1999.
Answer:
Hope I helped!~
Step-by-step explanation:
To find the equation of the line, we can use the slope-intercept form of the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Using the two data points given, we can calculate the slope:
m = (11.25 - 8.35) / (1995 - 1993) = 1.95
To find the y-intercept, we can use one of the data points:
8.35 = 1.95(1993) + b
b = -3884.65
So the equation of the line is:
y = 1.95x - 3884.65
To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:
y = 1.95(6) - 3884.65
y = 11.7 - 3884.65
y = -3872.95
This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.
Which statement best explains the relationship between lines PQ and RS? They are parallel because their slopes are equal. They are parallel because their slopes are negative reciprocals. They are not parallel because their slopes are not equal. They are not parallel because their slopes are negative reciprocals.
Answer:
They are not parallel because their slopes are not equal
Step-by-step explanation:
From the diagram attached, The line PQ has point P at (-5, 3) and point Q at (5, 1).
For line RS, point R is at (-4, -2) and point S is at (0, -4).
Two lines AB and CD are said to be parallel to each other if they have the same slope, i.e if the slope of AB is m1 and the slope of CD is m2, m1 = m2. When two lines are parallel, they can never intersect.
The slope (m) of of a line given two points on the line is calculated using:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
For line PQ has point P at (-5, 3) and point Q at (5, 1), the slope is given as:
\(m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-3}{5-(-5)}=-\frac{1}{5}\\\)
For line RS, point R is at (-4, -2) and point S is at (0, -4), the slope is given as:
\(m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-2)}{0-(-2)}=-1\)
Since the slope of PQ (-1/5) and the slope of line RS (-1) are not equal, therefore the lines are not parallel
Answer:
They are not parallel because their slopes are not equal.
Step-by-step explanation:
The first person to answer this was correct, please mark them brainliest.
Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late
Answer:
0.52
Step-by-step explanation:
100% - 48% = 52%
\(\frac{52}{100}\)
0.52
how can we use transformations to graph this function? y=3x7^(-x)+2 Explain your steps.
Answer:
y=0
Step-by-step explanation:
so it has a steady slope
Answer:
Sketch the graph of y=7x
Reflect the graph across the y-axis to show the function y=7^-x
Stretch the graph vertically by a factor of 3 to show the function y=3x7^-x
Shift the graph up 2 units to show the function y=3x7^-x +2
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
need help
Determine when a simple 2x2 system of linear equations has no solutions.
If m = -5 or m = 3, the system of linear equations has no solution.
To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:
| 3 m |
| m+2 5 |
The determinant is
= (3 x 5) - (m x (m+2))
= 15 - m^2 - 2m
= -(m^2 + 2m - 15)
= -(m+5)(m-3)
So, for the system to have no solution, the determinant must be zero, so we have:
-(m+5)(m-3) = 0
This gives us two values of m: m = -5 and m = 3.
Thus, if m = -5 or m = 3, the system of linear equations has no solution.
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For 24 points answer this question!
The volume of the composite figure is 6,330.24 in^3
How to find the volume of the figure?We know that the volume of half a sphere of radius R is:
V = (2/3)*pi*R^3
Here we know that pi = 3.14 and R = 12 inches, then the volume is:
V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3
And the volume of a cone of height H and radius R is:
v = (1/3)*pi*R^2*H
So here the volume is:
v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3
Then the total volume is:
3,617.28 in^3 + 2,712.96 in^3 = 6,330.24 in^3
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can you help me solve this?
Answer:
456*567=4890998
46766-6755=566888
Answer:
FGM and reproductive health
Somebody help me with this
40 points ☺️
Currently 1800 people ride a certain cable-car each day and pay $4 for a ticket. The number of people q willing to ride the cable-car at price p is a=600(5-√P). The cable-car company would like to increase its revenue
a) Is demand elastic or inelastic at p = 4?
b) Should the price of a ticket be raised or lowered?
Answer:
yes the price should go up
Step-by-step explanation:
1800×4.00
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.
shape 1
shape 2
shape 3
shape 4
shape 5
shape 6
Figures that are similar to Figure A are: Figure #3 and Figure #2.
What are two similar figures?According to the mathematical definition, two figures are similar if they have the same shape, their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.
Which figures are similar to figure A?The figures that are similar to figure A are:
Figure #3
Figure #2
How to identify figures similar to figure A?According to the definition of similar figures, it can be inferred that figures # 3 and # 2 are similar to figure A because the angles are equivalent and the ratio of the lengths are equal. In the case of figure #2 it has the same lengths but its direction is to the left. On the other hand, figure #3 has equivalent angles, however, the lengths correspond to twice that of figure A.
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A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $10.50, and tickets cost $32.50 per person, including tax. Write and solve an inequality which can be used to determine 2, the number of people who can go to the amusement park.
Considering the definition of an inequality, the required inequality is for x ≤ 4.6 and the number of people who can go to the amusement park must be less than 4.
Definition of inequalityAn inequality is an inequality between two algebraic expressions of one or more unknowns, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.The inequality between the two algebraic expressions only holds, or rather, is only true for certain values of the unknown.
Inequality in this caseBeing "x" the number of people who can go to the amusement park, and considering that:
A group of friends have no more than $160 to spend on parking and admission. Parking is $10.50, and tickets cost $32.50 per person, including tax.the inequality that expresses the previous relationship is
10.50 + 32.50x ≤ 160
Solving:
32.50x ≤ 160 - 10.50
32.50x ≤ 149.5
x ≤ 149.5÷ 32.5
x ≤ 4.6
Finally, the required inequality is for x ≤ 4.6 and the number of people must be less than 4.
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Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
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What is x^2+x when x = 69?
if x = 69, then x^2+x = 4830
if the measure of boa=44 and the radius of circle o is 4 what is the length plesa HURRY
Answer:
To determine the length you're referring to, we need more information about the specific configuration or diagram you're referring to. Please provide additional details or clarify your question so that I can assist you more accurately.
Step-by-step explanation:
PLS HELP MEEEEEEE
140 raffel tickets were sold at a fundraiser. If the ratio of losing tickets to the number of winning tickets is 5:2, how many winners are there. SHOW YOUR WORK PLSSSSS
Answer:
down below
Step-by-step explanation:
5:2=5+2= there are 7 parts altogether
140/7=20 in each 1 part
losing=5
do 20 times 5=100 raffel tickets are losing
2 times 20 is the winning tickets=40 winning tickets
i hope i could help<3
what is the solution for 15= 1/2 + 3/2x + 10
Answer:
x = 3
Step-by-step explanation:
A study team was discussing how to multiply 6x^10 by 12x^2.
Andrea said, "The answer is 72x^20"
Bernard said, "No, the answer is 18x^20"
Carmen disagreed and said, "No, the answer is 72x^12"
Finally, Diego concluded, "You are all wrong. The answer is 18x^12"
Are any of these students correct? How do you know? Explain.
The correct option is that C. Carmen disagreed and said, "No, the answer is 72x^12"
How to illustrate the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
It should be noted that when dividing exponents with same base, we will subtract the powers and when multiplying them, we will add the powers.
Here, the study team was discussing how to multiply 6x^10 by 12x^2. Therefore, this will be:
= 72 × x^(10 + 2)
= 72x^12.
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Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Answer:
Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
If so your answer is: 2.5!
Can someone help please !! I appreciate it
Ans
Step-by-step explanation:
José put $1,500 into a savings account. He earns 3% interest every year. How much simple interest will he earn at the end of 3 years?
He would have a total of: $1639.09
In intrest alone he would've made 1639.09
Step-by-step explanation:
3%= 0.03
The first thing you do is multiply $1,500 by the %3 (0.03).When your done multiplying, you should get 45.Add 45 to 1500Now you have 1545Then you repeat the process over, two more times. However the numbers will change.Suppose that the functions p and q are defined as follows.
p(x)=x+1
q (x) = -2x²
Find the following.
(9 °p) (-4)=
(pᵒg)(-4)=
In function , value of the functions p and q are 14, 35.
What is function and example?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.p(x)= x+1
q (x) = 2x² - 2
q . p(x) = 2 ( x+1 )² - 2
q . p(x) = 2 ( x² + 1 + 2x ) - 2
q . p(x) = 2x² + 2 + 4x - 4
q . p(x) = 2x² + 4x - 2
q. p(-4) = 2 (-4)² + 4 × -4 - 2
= 32 -16 - 2
= 32 - 18 ⇒ 14
q. p(-4) = 14
(pᵒ g)(-4) = -2x² +1
= -2x² + 1
(pᵒ g)(-4) = - 2 (-4)² + 1
= 32 + 1 = 35
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A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?
Answer:
36290.4$
Step-by-step explanation:
First of all we should find out how much farmer spent on 240 acres
240 × 188.99 = 45357.6
Then, let's find out the price for whole bushels he gets
240 × 60 × 5.67$ = 81648
Therefore his profit is,
81648 - 45357.6 = 36,290.4$//
Find the sum of the solution or slope.
Answer:
\(m=-1\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Find points from graph
Point (0, 0)
Point (-10, 10)
Step 2: Find slope m
Substitute: \(m=\frac{10-0}{-10-0}\)Subtract: \(m=\frac{10}{-10}\)Divide: \(m=-1\)Solve: 5x=110. (Round to three decimal places.)
Hey there! Welcome to Brainly! I'm happy to help!
In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!
Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.
5·x=110
What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.
We want to get the x all by itself on one side of the equation. Then, we will see what x equals.
To do this, we use inverse operations. I will show you below with our 1+x=2 example.
1+x=2
We have a positive one plus an x equals two. We could visualize this like this.
+1+x=2
What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!
However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.
So, let's subtract 1 from both sides.
+1+x-1=2-1
x=1
We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.
Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!
5x÷5=110÷5
x=22
We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!
Have a wonderful day!
double the sum of a number w and 3
Answer:
2(w+3)
Step-by-step explanation:
2(w+3) or 2w+6
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
What's the slop of the line with the two points 3,2 and 7,9