Answer: 3.215 × 10^-7
Step-by-step explanation:
The exponent is smaller than all of the others, so it's the smallest.
IF ANYONE ANSWERS THIS CORRECTLY, I WILL GIVE YOU BRAINLIEST!!
According to the geometric diagram and the definition of the area for a rectangle, the area of the rectangle is 16√3 + 32 square milimeters.
How to estimate the area of the rectangle that contains three circles
In this problem we find a geometric system formed by a rectangle and three inscribed triangles. The detailed geometric diagram is introduced in the image attached below, in which we find that the triangle formed by the centers of the three circles is equilateral.
The area of the rectangle is equal to the product of its height and its width, whose dimensions are:
Height: h = 2 · 0.5√3 · (2 mm) + 2 · (2 mm) = 2√3 + 4 mm
Width: w = 4 · (2 mm) = 8 mm
A = h · w
A = (2√3 + 4 mm) · (8 mm)
A = 16√3 + 32 mm²
The area of the rectangle is 16√3 + 32 square milimeters.
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The table of paired values represents a proportional relationship.
x 1 3 6 7
y 4 y 24 28
What is the missing y-value in the table?
Responses
8
8
12
12
16
16
I don't know.
I don't know.
Answer:
12
Step-by-step explanation:
because you can see that in the first column, the y value is 4 times the x value
and in the third column, the y value is still 4 times greater than the x value
meaning that you need to find a number that is 4 times the value of 3 (because that is the x value)
3 times 4 is 12
ded Assignment
A truck can carry a load of 6000 lb. Assuming that it could be cut to fit, how many feet of steel beam weighing 32.9 lb/ft (pounds per foot) can the truck carry?
The truck can carry feet of steel bearn weighing 32.9 lb/ft
(Round to the nearest hundredth as needed.)
The number of steel beam the truck can carry given the truck's capacity is 182.37.
How many steel beams can the truck carry?In order to determine the number of steel beam the truck can carry divide the capacity of the truck by the weight of each steel beam.
Division is the mathematical operation that is used to group a number into equal parts using another number. The sign used to denote division is ÷. Other operations used in mathematics are addition, subtraction and multiplication.
Number of steel beams the truck can carry = capacity of the truck / number of steel beams
6,000 / 32.9 = 182.37
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find thesum using a number line -4+(-3)=
Answer:
-7
Step-by-step explanation:
Answer:
Step-by-step explanation:
-4 + (-3) is basically -4 - 3
-4 - 3 = -7
Solve the inequality and graph the solution on
the line provided.
15+ 3x <-3
Which expression represents the prime factorization of 276? 7TH Grade Math!
A. 2 x 2 x 3 x 23
B. 2 x 3 x 3 x 23
C. 2 x 2 x 2 x 3 x 23
D. 2 x 2 x 3 x 3 x 23
Answer:
a
Step-by-step explanation:
cost for babysitting services
Answer:
$14.82/hr
It depends on where you are though.
Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5.
A. 24 = 10.5 + 4.5m; m = 60.75
B. 24 = 10.5 + 4.5m; m = 3
C. 24 equals 10.5 plus m over 4.5; m = 3
D. 24 equals 10.5 plus m over 4.5; m = 60.75
OF THE STUDENTS IN KAREN'S CLASS, 4/5 OF THEM OWN A BIRD. OF THE STUDENTS WHO OWN A BIRD, 1/2 ALSO OWN A HAMSTER. WHAT FRACTION OF THE STUDENTS IN KAREN'S CLASS OWN A BIRD AND A HAMSTER?
Answer:
the fraction is 2/5
Step-by-step explanation:
4/5 + 1/2
=2/5
Find the slope and the y-intercept of the graph of the linear equation. Write your anwers in sinple form
[tex]\cfrac{1}{6}x=\cfrac{1}{3}-y\implies 0=-\cfrac{1}{6}x+\cfrac{1}{3}-y \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{6}} x\stackrel{\stackrel{b}{\downarrow }}{+\cfrac{1}{3}}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
16. The department manager recorded the number of sick days taken last year by cach
employee, as shown in the table.
Employee Sick Days
Kailynn 4
Josh 5
Brian 1
Bill 3
Jacob 2
Pete 2
Sasha 3
What is the mean number of days employees were sick? Round to the nearest
hundredth.
The mean number of days employees were sick is 3 days.
Mean:-Mean is the average of numbers. The calculation is easy. Add all the digits and then divide by the number of digits. That is, the sum divided by the count.
As We have count for number of days by each employee given as follows
Kailynn 4days
Josh 5days
Brian 1days
Bill 3days
Jacob 2days
Pete 2days
Sasha 3days
∴ Total number of days will = 4 + 5 + 1 + 3 + 2 + 2 + 3 = 20 days
∴ Total employee count is 7.
∴ Mean Will be [tex] \frac{20}{7} [/tex]
= 2.85714
≈ 3 --(rounding to nearest hundred).
∴ The mean number of days employees were sick is 3 days.
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he profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
y=48x−2
y=48x+2
y=2x−48
y=2x+48
The linear function that represents the profit earned is: C. y = 2x − 48.
How to Write a Linear Function?The linear Function can be written as y = mx + b, which is in slope-intercept form, where we have:
x and y as the variables.m as the slope/unit rate.b as the starting value or y-intercept of the linear function.From the information given, we have:
x = number of hot dogs sold
y = Profit earned
m = unit rate = 2
b = starting value = -48 (this is negative because the profit on each hot dog sold must be deducted from the cost for each morning.)
Therefore, substitute m = 2 and b = -48 into y = mx + b to write the linear function:
y = 2x - 48
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Answer:
C
Step-by-step explanation:
i said so
the area of a triangle is 10x^2 - 4x. If the height of the triangle is 2x, determine an expression for the base.
A = base x height divided by 2.
The expression representing the base is b = 2(10x² - 4x)/x
How to determine the expression for the baseIt is important to note that the formula for area of a triangle is expressed as;
Area = 1/2 bh
Where;
b is the base of the triangleh is the height of the triangleGiven the parameters as;
Area = 10x² - 4x
Height = x
Substitute the values into the formula
10x² - 4x = 1/2(x)b
10x² - 4x = xb/2
cross multiply
2(10x² - 4x) = xb
Now, to determine the expression, make 'b' the subject of formula by dividing both sides by the coefficient of b, we have;
b = 2(10x² - 4x)/x
Hence, the expression is 2(10x² - 4x)/x
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The scale of a map is 1: 250000 the actual distance between two cities is 80km calculate the distance on the map give your answer in centimeters
PLS SOMEONE ANSWER❗️
The scale of a map exists 1: 250000 the actual distance between two cities exists 80km then the two cities exists 72 cm apart on the map.
How to estimate the actual distance?Given that the representative fraction exists 1/250000.
We know that the representative fraction exists the ratio of map distance to the corresponding ground distance exists independent of units of measurement.
This implies that 1 cm on the map exists actually 250000 cm distance.
We will convert this 250000 cm into m as 1 m = 100 cm.
[tex]\[250000 \times \dfrac{1}{{100}}[/tex] m = 2500 m
To convert this into km as 1 km = 1000 m.
[tex]\[2500 \times \dfrac{1}{{1000}}[/tex] km = 2.5 km
So, 1 cm on the map exists 2.5 km actual distance.
To find the distance on the map corresponding to 180 km on ground.
[tex]\dfrac{{180}}{{2.5}}[/tex] cm = [tex]$\frac{{1800}}{{25}}[/tex] cm = 72 cm
Therefore, the two cities exists 72 cm apart on the map.
We exists supposed to scale the representative fraction properly to avoid any miscalculation. Also, we will take care of the scales properly i.e. kilometers, meters and centimeters.
The complete question is:
The scale of a map is 1: 250 000.
(a) The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimeters.
(b) On the map a large forest has an area of 6 cm?
Calculate the actual area of the forest. Give your answer in Square kilometres.
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4-7k 3-6k solve for k
4 - 7k = 3 - 6k
⇒ 4 - 3 = 7k - 6k
⇒ k = 1
The value of k is 1.
In this equation, k is a variable.
In an experimental study, the independent variable can be changed, manipulated, or adjusted.
What are Variables?Any attribute, feature, number, or amount that changes over time, or that can have a variety of values depending on the circumstances, is referred to as a variable.In mathematical modeling, statistical modeling, and experimental sciences, dependent and independent variables are both variables. The reason they are called dependent variables because, during an experiment, their values are examined under the presumption or requirement that they are dependent on the values of other variables due to some rule or law. In turn, independent variables aren't cohered as dependent on any other variables within the context of the experiment in question. In this context, some frequent independent variables are time, space, density, mass, fluid flow rate, and prior values of some observed value of interest to forecast future values (the dependent variable).To learn more about Variables, refer to:
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Can someone help me solve this please ? I’m having a really hard time solving it
The features of the triangle are summarized below:
AC = √7 + √6 AB² = AC² = 13 + 2√42, BC² = 13 + 2√42.There is 45-45-90 right triangle as BC = √2 · AB = √2 · AC. The triangle has an area of approximately 12.980 square units.How to analyze a given triangle based on its sides
In this problem we find the case of a triangle whose three sides (AB, AC, BC) are known. First, we rationalize the expression for AC, that is, eliminate the irrational denominator by algebraic means:
AC = 1 / (√7 - √6)
AC = [1 / (√7 - √6)] · [(√7 + √6) / (√7 + √6)]
AC = (√7 + √6) / [(√7 - √6) · (√7 + √6)]
AC = (√7 + √6) / (7 - 6)
AC = √7 + √6
Second, we determine the square of each side:
AB² = (√7 + √6)²
AB² = 7 + 2√42 + 6
AB² = 13 + 2√42
AC² = (√7 + √6)
AC² = 13 + 2√42
BC² = (√14 + 2√3)²
BC² = 14 + 4√42 + 12
BC² = 26 + 4√42
BC² = 2 · (13 + 2√42)
BC² = 2 · AB² = 2 · AC²
Third, deduce the nature of the triangle:
Since BC = √2 · AB = √2 · AC, then the triangle ABC is a right triangle with internal angles 45° - 45° - 90°.
Fourth, calculate the area of the triangle by Heron's formula:
s = 0.5 · (AB + AC + BC)
s = 0.5 · (√7 + √6 + √7 + √6 + √14 + 2√3)
s = 0.5 · (2√7 + 2√6 + √14 + 2√3)
s = √7 + √6 + 0.5√14 + √3
A = √[s · (s - AB) · (s - AC) · (s - BC)]
A = √[(√7 + √6 + 0.5√14 + √3) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √7 - √6) · (√7 + √6 + 0.5√14 + √3 - √14 - 2√3)]
A = √[(√7 + √6 + 0.5√14 + √3) · (0.5√14 + √3) · (0.5√14 + √3) · (√7 + √6 - 0.5√14 - √3)]
A = √[8.698 · (8.698 - 5.095) · (8.698 - 5.095) · (8.698 - 7.206)]
A = √(8.698 · 3.603² · 1.492)
A ≈ 12.980
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What is the equivalent fraction?
I think the answers are 2/3 and 1/3
Melissa rented a Segway, a stand up scooter, in downtown Austin, Tx. The store charges a $3.25 initial charge plus $2.50 per mile. Which equation can be used to find y, the total cost of the rental, if x represents the number of miles Melissa rode on the Segway?
Answer:
y = 2.50× + 3.25
Step-by-step explanation:
For example if Melissa rode 8 miles:
y = 2.50(8) + 3.25
y = 20.00 + 3.25
y = $23.25
AB is parallel to DE
.
.
CO
Alicia noticed that:
ZwLx
Ly La
.
B
.
A
w
I
F
E
D
Note: Alicia used the following theorems:
When a transversal crosses parallel lines, alternate interior angles are congruent.
Vertical angles are congruent
Choose 1 answer
A.Angles that form a linear pair are complementary
B. when a transversal crosses parallel lines same side interior angles are congruent
C. when a transversal crosses parallel lines alternate exterior angles are supplementary
D. when a transversal crosses parallel lines corresponding angles are congruent to.
When a transversal crosses parallel lines corresponding angles are congruent.
What are corresponding angles?
Two lines are parallel if and only if the two angles of any pair of transversal corresponding angles are congruent (equal in measure). Proposition 1.28 of Euclid's Elements, an absolute geometry theorem (therefore true in both hyperbolic and Euclidean Geometry), demonstrates that if the angles of two transversals are corresponding, the two lines are parallel (non-intersecting). According to Euclid's parallel postulate, if two lines are parallel, the angles of a pair of corresponding angles are congruent (Proposition 1.29 of Euclid's Elements). If the angles of one pair of related angles are congruent, the angles of the remaining pairs are likewise congruent.
The correct option is (D) When a transversal crosses parallel lines corresponding angles are congruent.
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#6 - Dan, Joe, and Bill are being weighed for a competition but don't want to 10
be weighed alone. Dan and Joe together weigh 226 pounds, Joe and Bill
together weigh 210 pounds and Dan and Bill together weigh 200 pounds.
How much does Joe weigh?
Answer:
j= 118 pounds
Step-by-step explanation:
d+j = 226 d = 226-j
j+b = 210 b = 210 - j
d+b = 200 Sub in the values above
226-j + 210 -j = 200
- 2j = -236
j = 118 pounds
The midpoint of line segment AB is M(3,-1). If the coordinates of A(8,4), what are the coordinates of B?
The coordinate B are (-2, -6)
Given that, the coordinates of the midpoint of line segment AB are (3,-1). Also, coordinates of A are (8,4).
Let the coordinates of B be (a,b)
We know that,
Midpoint of two points (x1,y1) and (x2,y2) is calculated by the formula
[tex]\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex]
Hence, midpoint of AB= [tex]\frac{8+a}{2} ,\frac{4+b}2}[/tex] = (3,-1)
[tex]\frac{8+a}{2}= 3 ,\frac{4+b}2} = -1[/tex]
8+a = 6, 4+b= -2
a = -2 b = -6
Hence the coordinate B are (-2, -6)
What do you mean by midpoint?In geometry, a centroid is the mid point of a segment. It is equidistant from both endpoints and is the mid point of both the segment and the endpoints. This divides the segment into two.
mid point can be calculated by [tex]\frac{A+B}{2}[/tex]
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Estimate 87x403 pls help
An easy way to estimate would be to choose numbers close such as 90x400, which equals 36,000.
The true answer is 87*403 = 35,061.
3 600
Step-by-step explanation:
First multiply 87 to the nearest ten then multiply 403 to the nearest hundred which will give you 90 and 400. Multiply the two to get your answer
Find the value of x show your steps
The school mary goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 7 senior citizen tickets and 6 students tickets of $69. The school took in $53 on the second day by selling 7 senior citizen tickets and 4 student tickets. find the price of one senior citizen ticket an the price of one child ticket
The price of one senior citizen ticket is $8 and that of a child ticket is $3.
Let the price of one senior citizen ticket be x
and the price of one student ticket be y
Thus, for the first day, we can make the following equation-
7x + 6y = 69
and similarly, we can make an equation for the second day as-
7x + 4y = 53
Now, we can solve these two linear equations to find the value of x and y.
Subtracting equation 2 from 1 we get-
(7x + 6y) - (7x + 4y) = 69 - 53
7x - 7x + 6y - 4y = 16
6y - 4y = 16
2y = 16
y = 16/2
y = 8
Substituting the value of y in any of the two equations we can find the value of x-
7x + 6(8) = 69
7x = 69 - 48
x = 21/7
x = 3
Thus, the price of one senior citizen ticket is $8 and that of a child ticket is $3.
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the height of a is approximately normally distributed. duncan and shane are duncan is 32.0 inches tall and is at the 32nd percentile of the distribution which is closest to the mean
Duncan's height is the closest to the mean for the given normal distribution.
What is termed as the normal distribution?The normal distribution, also recognized as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.The probability density function for just a continuous random variable in such a system defines the Normal Distribution. Assume that f(x) is the probability density function as well as X is a random variable.We learn from the question that
Given that 3-year-old boys' heights are roughly normally distributed, the mean will be the 50th.
Thus, comparing Duncan's height in the 32th percentile and Shane's height in the 62nd percentile with the mean height in the percentile 50.
i.e
50 - 32 = 18
and
62 - 50 = 12
Duncan's height is the closest to the mean.
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The complete question is -
The height of 3-year-old boys is approximately normally distributed. Duncan and Shane are 3 year old boys. Duncan is 32.0 inches tall and is in the 32nd percentile. Shane is 34.0 inches tall and is at the 62nd percentile. Which is the closest to the mean
80 points please help
Answer:
216
Step-by-step explanation:
gof(6) means g(f(6))
f(6)=2(6)-6=6
g(6)=6^3=216
Use the picture below.
How many lines of symmetry does the picture have?
O A. 1
OB. 3
о с. 0
OD. 2
Answer:
It has one line of folding symmetry
Find real x and y such that:
(x+yi)^2=x-yi
NEED HELP NOW PLEASE
Answer:
y = sqrt(-2 x - 1/4) + 1/2 (2 i x + i) or y = 1/2 (2 i x + i) - sqrt((-2 x - 1/4))
x = sqrt((-2 i) y + 1/4) + 1/2 (-2 i y + 1) or x = 1/2 (-2 i y + 1) - sqrt(((-2 i) y + 1/4))
Step-by-step explanation:
Solve for y:
(x + (0 + i) y)^2 = x + (0 - i) y
Subtract -i y + x from both sides:
-x + (i y + x)^2 + i y = 0
Expand and collect in terms of y:
-x + x^2 + y (2 i x + i) - y^2 = 0
Multiply both sides by -1:
x - x^2 + y (-2 i x - i) + y^2 = 0
Subtract -x^2 + x from both sides:
y (-2 i x - i) + y^2 = x^2 - x
Add 1/4 (-2 i x - i)^2 to both sides:
1/4 (-2 i x - i)^2 + y (-2 i x - i) + y^2 = 1/4 (-2 i x - i)^2 - x + x^2
Write the left hand side as a square:
(1/2 (-2 i x - i) + y)^2 = 1/4 (-2 i x - i)^2 - x + x^2
Take the square root of both sides:
1/2 (-2 i x - i) + y = sqrt(1/4 (-2 i x - i)^2 - x + x^2) or 1/2 (-2 i x - i) + y = -sqrt(1/4 (-2 i x - i)^2 - x + x^2)
Subtract 1/2 (-2 i x - i) from both sides:
y = 1/2 (2 i x + i) + sqrt((((-2 i) x - i)^2)/4 - x + x^2) or 1/2 (-2 i x - i) + y = -sqrt(1/4 (-2 i x - i)^2 - x + x^2)
1/4 (-2 i x - i)^2 - x + x^2 = -2 x - 1/4:
y = 1/2 (2 i x + i) + sqrt((-2 x - 1/4)) or 1/2 (-2 i x - i) + y = -sqrt(1/4 (-2 i x - i)^2 - x + x^2)
Subtract 1/2 (-2 i x - i) from both sides:
y = sqrt(-2 x - 1/4) + 1/2 (2 i x + i) or y = 1/2 (2 i x + i) - sqrt((((-2 i) x - i)^2)/4 - x + x^2)
1/4 (-2 i x - i)^2 - x + x^2 = -2 x - 1/4:
Answer: y = sqrt(-2 x - 1/4) + 1/2 (2 i x + i) or y = 1/2 (2 i x + i) - sqrt((-2 x - 1/4))
________________________
Solve for x:
(x + (0 + i) y)^2 = x + (0 - i) y
Subtract -i y + x from both sides:
-x + (i y + x)^2 + i y = 0
Expand and collect in terms of x:
x^2 + x (2 i y - 1) + i y - y^2 = 0
Subtract -y^2 + i y from both sides:
x^2 + x (2 i y - 1) = y^2 - i y
Add 1/4 (2 i y - 1)^2 to both sides:
x^2 + x (2 i y - 1) + 1/4 (2 i y - 1)^2 = 1/4 (2 i y - 1)^2 - i y + y^2
Write the left hand side as a square:
(x + 1/2 (2 i y - 1))^2 = 1/4 (2 i y - 1)^2 - i y + y^2
Take the square root of both sides:
x + 1/2 (2 i y - 1) = sqrt(1/4 (2 i y - 1)^2 - i y + y^2) or x + 1/2 (2 i y - 1) = -sqrt(1/4 (2 i y - 1)^2 - i y + y^2)
Subtract 1/2 (2 i y - 1) from both sides:
x = 1/2 (-2 i y + 1) + sqrt((((2 i) y - 1)^2)/4 - i y + y^2) or x + 1/2 (2 i y - 1) = -sqrt(1/4 (2 i y - 1)^2 - i y + y^2)
1/4 (2 i y - 1)^2 - i y + y^2 = -2 i y + 1/4:
x = 1/2 (-2 i y + 1) + sqrt(((-2 i) y + 1/4)) or x + 1/2 (2 i y - 1) = -sqrt(1/4 (2 i y - 1)^2 - i y + y^2)
Subtract 1/2 (2 i y - 1) from both sides:
x = sqrt((-2 i) y + 1/4) + 1/2 (-2 i y + 1) or x = 1/2 (-2 i y + 1) - sqrt(((2 i y - 1)^2)/4 - i y + y^2)
1/4 (2 i y - 1)^2 - i y + y^2 = -2 i y + 1/4:
Answer: x = sqrt((-2 i) y + 1/4) + 1/2 (-2 i y + 1) or x = 1/2 (-2 i y + 1) - sqrt(((-2 i) y + 1/4))
Answer:
Step-by-step explanation:
The slope of a line is -5. What is the slope of any line parallel to this line? (If an answer is undefined, write Undefined.)
Answer:
Since both lines are parallel, they must have the same slope, which in this case is -5.
Cam's Cupboard grocery store is having a sale on canned goods. Tiana decides to stock up and purchases 12 cans of soup. During the sale, cans of soup sell for $0.55 less than full price. Tiana pays a total of $13.20 for the cans of soup.
Which equation can you use to find the amount, f, each can of soup costs at full price?
How much does each can of soup cost at full price?
$
PLEASE HELP MAN I CANT USE A HW PASS ON THISSS
If during the sale, cans of soup sell for $0.55 less than full price. Tiana pays a total of $13.20 for the cans of soup. The equation that can you use to find the amount, f, each can of soup costs at full price is 12(f−0.55)=13.20 and the amount that each can of soup cost at full price is $1.65.
EquationGiven data:
Number of cans = 12 can
Cost of can less than full price = $0.55
Total amount paid = $13.20
Let f represent the full price
Now let formulate an equation that will be use to find the amount:
Equation :
12(f−0.55)=13.20
Let let determine the amount that each can of soup cost at full price using the equation
12(f−0.55)=13.20
12f−6.6=13.20
Collect like terms
12f = 19.8
Divide both side by 12f
f = 19.8 / 12
f = $1.65
Therefore the can of soup at full price costs is $1.65.
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