Answer:
3/2
Step-by-step explanation:
1/2 ÷2/3
1/2x3/2
1x3=3
1x2=2
=3/2
The annual profits for a company are given in the following table, where x represents the number of years since 1997, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected profit (in thousands of dollars) for 2006, rounded to the nearest thousand dollars.
Years since 1997 (x) Profits (y)
(in thousands of dollars)
00 131131
11 168168
22 202202
33 193193
44 221221
Regression Equation:
Final Answer:
The linear regression equation for the profit in x years after 1997 is of:
y = 20.5x + 142.
Using this equation, the estimate for the profit in 2006, is of: $326,500.
How to obtain the linear regression equation?The linear regression equation is obtained inserting the points of the data, represented either in a table or in a scatter plot, into a linear regression calculator.
In the context of this problem, these points are given as follows:
(0, 131), (1, 168), (2, 202), (3, 193), (4, 221).
Inserting these points into a calculator, the equation is:
y = 20.5x + 142.
The estimate for the profit in 2006, that is, 9 years after 1997, is of:
y = 20.5(9) + 142 = 326.5 thousand dollars = $326,500.
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The center of a circle is (4, -11) and a point on the circle is (4, -3). Determine the
equation of the circle.
(x+12)² + (y + 6)² = 64
(x-4)² + (y +11)² = 64
(x-4)² + (y +11)² = 4096
(x-3)² + (y-13)² = 64
The equation of circle (x-4)² + (y+11)² = 64
What is a Circle?
All points in a plane that are at a specific distance from a specific point, the center, form a circle. Alternatively, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
Here we know that (h,k)=(4,-11) but we are not given the radius.
However, we can find the radius by using the distance formula.
Therefore,
r = √[(x2 - x1)² + (y2 - y1)²]
r = √[(4 - 4)² + (-3 + 11)²]
r = √[(0)² + (8)²]
r = √(8²)
r = 64
An equation of the circle with center (h,k) and radius r is
(x−h)^2 +(y−k)^2=r^2
Substitute the values in the equation of circle as follows:
(x-4)² + (y+11)² = 8²
(x-4)² + (y+11)² = 64
Therefore, the equation of the circle is (x-4)² + (y+11)² = 64
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A farmer with 350 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area?
The width, labeled x in the figure, is ?
(Type an integer or decimal rounded to the nearest tenth as needed.)
The length, labeled 350-2 x in the figure, is?
(Type an integer or decimal rounded to the nearest tenth as needed.)
The largest area that can be enclosed is ?
(Type an integer or decimal rounded to the n
meters.
square meters.
cubic meters.
The solution to the questions are:
The width, labelled x in the figure is 87.5 metersThe length, labelled 350-2 x in the figure, is 175 metersThe largest area that can be enclosed is 15312.5 square metersHow to determine the width and the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 350 - 2x
Width = x
The area of a rectangle is the product of its dimensions
So, we have
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
A = (350 - 2x) * x
Evaluate
A = 350x - 2x²
Differentiate and set to 0
350 - 4x = 0
So, we have
4x = 350
Divide by 4
x = 87.5
Recall that
Length = 350 - 2x
So, we have
Length = 350 - 2 x 87.5
Evaluate
Length = 175
The area is then calculated as
Area = Length x Width
So, we have
Area = 175 x 87.5
Evaluate
Area = 15312.5 square meters
Hence, the area is 15312.5 square meters
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Z-score of 1 to percentile
For the z-score = 1, the percentile = 84.13%
In this question, we need to find the percentile when z-score is 1
We know that a Z-scores is a normalized score that used to compare values relative to their population. z-score represents a specific location in the normal distribution, so that there is a certain area that is to the left of that z-score. The percentile associated to a z-score is nothing but the area to the left of that z-score.
When z = 1 then the percentile would be 84.13%
Therefore, for the z-score = 1, the percentile is 84.13%
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A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6 days after inoculation?
y = 1,000(1.15)6; 2,313 bacteria
y = 1,000(1.15)7; 2,660 bacteria
y = 1,000(1.5)5; 7,594 bacteria
y = 1,000(1.5)6; 11,391 bacteria
"The population of the culture 6 days after inoculation is 1,000(1.15)^6 ; 2313 bacteria"
Initial inoculated bacteria = 1000
Growing rate of bacteria = 15%
we have to find the population of the culture after 6 days
y = 1000 ( 1 + 15/100)^6
y= 1000 (1.15)^6
y = 1000(2.313060)
y = 2313.06 ≈ 2313
The population of the culture 6 days after inoculation is 2313.
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please help
1. Draw a triangle.
2. Plot a midsegment of the triangle in the image with number 11. Include work to verify that the segment drawn is the midsegment. Make sure to include the midsegment in the image.
1. Triangle ABC with the vertices, A(0, 2), B(6, 4), and C(4, -2) is drawn and attached below.
2. The midsegment is EF. This is verified using the triangle midsegment theorem which states that EF = 1/2(AC).
What is the Midsegment of a Triangle?The midsegment of a triangle is the line segment that joins the midpoints of two sides of a triangle together. Every triangle typically has three midsegments.
According to the triangle midsegment theorem, the length of the midsegment is half the length of the third side of the triangle that it is parallel to.
What is the Midpoint of a Line?The midpoint of a line is its middle, which can be calculate using the formula:
M(x, y) = [tex](\frac{x_2 - x_1}{2}, \frac{y_2 - y_1}{2})[/tex].
1. The coordinate of the three vertices that is used to draw a triangle are:
A(0, 2), B(6, 4), and C(4, -2).
The triangle is in the attachment below.
2. To plot the midsegment of the triangle, determine the midpoints of AB and BC, then plot the coordinate where both midpoints would be joined.
Midpoint of AB = (x, y) = (0+6)/2, (2+4)/2
= (6/2, 6/2)
= (3, 3) (let this be point E)
Midpoint of AB = (x, y) = (4+6)/2, (−2+4)/2
F = (5, 1)
The midsegment will have the endpoints, E(3, 3) and F(5, 1).
To verify the segment draw is the midsegment according to the triangle midsegment theorem, find the length of the midsegment, EF, and the length of the third side, AC using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
EF = √[(5−3)² + (1−3)²]
EF = √8 units
AC = √[(4−0)² + (−2−2)²]
AC = √32 units
Based on the triangle midsegment theorem:
EF = 1/2(AC)
Plug in the values:
√8 = 1/2(√32)
√8 = 1/2(4√2)
√8 = 2√2
2√2 = 2√2 (true)
This means that EF is a midsegment of triangle ABC.
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Please help me!! can't figure it out for some reason
A census was conducted at a school. All of the students were asked how many cars their family owns. The results are below.
3. What is the probability that a randomly chosen student has at least 3 cars? Answer
4. What is the expected number of cars? Answer
5. What is the standard deviation? Answer
Answer: how did u get a pfp
Step-by-step explanation:
How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper?
3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.
Given, we are asked to determine:
How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper = ?
convert kg to ounces.
6kg = 211.644 ounces.
90%x+15%(211.644)=40%(211.64+x)
0.9x+0.15(211.64)=0.4(211.64+x)
0.9x+31.7466 = 84.6576 + 0.4x
0.9x - 0.4x = 84.6576 - 31.7466
0.5x = 52.911
x = 52.911/0.5
x = 105.822
now convert ounces to kg.
= 3kg
Hence approximately 3 kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper.
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Find the missing values in the ratio table.
2,_,_
3,1,8
The missing values in the ratios are 2/3 and 16/3 in the set of 1, _ , _.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given are two sets of ratios 2, _, _ and 3, 1, 8.
If we observe the first value of the first and second ratio we see that
The second set of ratios is (3/2) or 1.5 times larger than the first set of ratios.
So the second and the third value of the first set of ratios are (1/3/2) = 2/3 and 8/(3/2) = 16/3.
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Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 8 $ 6.00 A Apr. 11 24 $ 11.00 B May 17 30 $ 14.00 C Dec. 5 19 $ 16.00 D 21 units sold
The completion of the inventory table is as follows:
A = $48
B = $264
C = $420
D = $304.
What methods are used for inventory?
Utilizing some of the inventory procedures, the aforementioned inventory table is finished.
The First-in, First-out (FIFO) principle presupposes that the physical flow of products sold corresponds to the order in which they were acquired.
The Last-in, First-out method (LIFO) bases the cost of products sold on the most recent inventory acquisitions.
The weighted-average technique calculates the ending inventory and cost of goods sold using the average cost of goods.
Allocating the expenses of products sold and ending inventory are not based on any presumptions in Specification Identification. It substitutes specified expenses instead.
Inventory Table:
Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 8 $6.00 $48 ($6 x 8)
April 11 Purchases 24 $11.00 $264 ($11 x 24)
May 17 Purchases 30 $14.00 $420 ($14 x 30)
Dec. 5 Purchases 19 $16.00 $304 ($16 x 19)
Total 81 $1,036
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Find the circumference of each of the following circles. Use 3.14 for TT
17 km
32 in
39 m
25 mi
Answer:
a=34π
b=64π
c=39π
d=25π
Step-by-step explanation:
a2- 3x -10 please solve this what will be the factor of it
Step-by-step explanation:
a² - 3x - 10
a(a -3) (x - 10)
Mary and Tom bought a gift for their
mother for Mother's Day. Tom paid $28.00,
and Mary paid $12.00. If they wanted to
share the cost of the gift equally, how
much money does Mary owe Tom?
$
Answer:
$8
Step-by-step explanation:
Mary and Tom bought a gift for their mother for Mother's Day. Tom paid $28.00, and Mary paid $12.00. If they wanted to share the cost of the gift equally, how much money does Mary owe Tom?
total paid: 28 + 12 = $40
if they split equally: $40/2 = $20 each
because Mary only paid $12 she owes Tom: 20-12 = $8
A 70-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find its area (in m2).
The area of the rectangular garden that has a 70-meter path surrounding it is: 1,176 m².
What is the Area of a Rectangle?Area = length × width
Perimeter of a rectangle = length surrounding a rectangular shape = 2(length + width).
Give the following:
Perimeter of the rectangular garden = 70 meter
Length = l
Width = 2/3l
Therefore:
l + 2/3l = 70
5/3l = 70
5l = 3(70)
5l = 210
5l/5 = 210/5
l = 42
Length = l = 42
Width = 2/3l = 2/3(42) = 28
Area of rectangular garden = 42 × 28 = 1,176 m².
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Question 23
Springfield's population in 2019 was 202628 people and is projected to grow at a rate of 0.81 % each year. If the growth continues at this annual rate, what will the population be in 2046?
Round to the nearest person.
The population of Springfield in 2046, given the growth rate, can be found to be 251, 940 people
How to find the population in 2046?When given the starting population, and the population growth rate, the growth in population can be found by the formula:
= Starting population x ( 1 + population growth rate ) ^ number of years
The number of years would be:
= 2046 - 2019
= 27 years
The population in 2046 would be:
= 202, 628 x ( 1 + 0.81 % ) ²⁷
= 251, 940 people
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Part D ? Question Suppose the cylindrical water tank has a radius of 12 feet. Use this information and the equation modeling the radius of the tank to complete these statements
The volume of the water tank is about _____ cubic feet.
a. 2,880
b. 400
c. 754
d. 9,048
The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about 9,048 cubic feet.
The correct option is option d;
d. 9,048
What is the volume of a solid?The volume of a solid indicates the amount of space the solid takes at a location.
The formula for finding the volume of the cylindrical tank is presented as follows;
V = π·r²·L
Where;
r = The radius of the tank
L = The length of the tank
From a similar question on the website, we have;
The length of the tank, L = 20 feet
Therefore;
The volume of the tank, V = π × 12² × 20 ≈ 9048
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Please answer I need to turn it in asap morning when please help
Answer:
-7/3
Step-by-step explanation:
(-2-5)/(5-2)
-7/3
Answer:
C.
Step-by-step explanation:
Using Slope formula (y2-y1/x2-x1), we can plug these 2 coordinates in. -2-5/5-2= -7/3.
Or even by simply using rise over run, we can get the slope. Up 7 over 3, and we know that the slope is negative, so we add a negative sign in front.
-Hope this helped
Fill in the blanks to create an equation that has infinite solutions
7x+3x+10=-2(_x + _)
Fill in the blanks to create an equation that has no solutions
7x+3x+10=-2(_x + _)
An equation 7x+3x+10= -2[-5x +(-5)] has infinite solutions and an equation 7x+3x+10= -2[-5x + (-4)] has no solution.
Given that:
7x+3x+10 = -2 (_x + _)
=> 10x + 10 = -2 (_x + _)
Putting in the blank -5 so as to satisfy the equation that has an infinite solution.
=> 10x + 10 = -2(-5x + -5)
This is the equation that shows that it has infinite solutions and they are in the same line.
For no solutions
7x+3x+10 = -2 (_x + _)
In no solution, the value of b is not equal to -5.
For equation:
7x+3x+10 = -2 (-5x + b) [If putting value in first blank = -5]
Therefore, -2 (-5x + b) is parallel to 10x+10 for any value of b not equal to -5. Parallel lines never intersect. So solutions are no solution.
Putting the value of b = -4
7x+3x+10 = -2 [-5x + (-4)]
This is the equation that shows that it has infinite solutions and they are in the same line.
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a big storage tank contains 1680 gallons of gasoline. 25 cars filled their tanks with 24 gallons of gas each. 35 trucks put 30 gallons of gas in each of their tanks. how many gallons of gas are left in the big storage tank?
Answer:
30 gallons of gas is left
Step-by-step explanation:
1680 is what we start with
25 filled with 24
25*24=600
35 filled with 30
35*30= 1050
So we take away what we used
600+1050= 1650
We started with 1680
1650 got taken away so
1680-1650= 30
30 gallons are left
Answer:
30 gallons of gas are left in the big storage tank---------------------------------
Initial volume of gas in the storage tank is 1680 gallons.
Cars took:
25 × 24 = 600 gallonsTrucks took:
35 × 30 = 1050 gallonsGas left in the storage tank:
1680 - (600 + 1050) = 1680 - 1650 = 30 gallonsplease help it’s urgent
I cant see the full sentence but yes it is because Q and P and both on the M line which is both 20
The rate of change for linear function A is 1/3. It’s graph has a y intercept of 1. The graph below represents function B. What do the graphs of these two functions have in common?
Answer:
The [tex]x[/tex]-intercept
Step-by-step explanation:
The equation of line A is [tex]y=\frac{1}{3}x+1[/tex].
The equation of line B is [tex]y=x+3[/tex].
The lines share the same [tex]x[/tex] intercept, since when [tex]x=-3[/tex], [tex]y=0[/tex] for both lines.
Answer these math questions(put solution) (if you want to answer word problem look in the comments)
1. ( 1.8 + 3.44 ) x 0.75
2. (8.29 - 0.32) ÷ 0.4
3. 7.58 (1.5 x 0.24) ÷ 0.5
4. (16.45-5.05) x (2.46 + 1.24)
5. (7.1 x 2.3) ÷ (1.25 x 0.6)
6. (4.19 + 6.8) ÷ (0.34-0.15)
Solution to the questions are: (1) 3.95
(2)19.92
(3) 5.45
(4) 42.18
(5) 21.77
(6) 57.84
What is Simplify?
Simplify in mathematics is a simple way of bringing down a problem, fraction or word expression into an easier from
1. ( 1.8 + 3.44 ) x 0.75
Simplify the equation using
=(5.24) x 0.75
=3.95
2. (8.29 - 0.32) ÷ 0.4
Rewrite the equation and simplify
=[tex]\frac{8.29 -0.32}{0.4}[/tex]
=[tex]\frac{7.97}{0.4}[/tex]
=19.92
3. 7.58 (1.5 x 0.24) ÷ 0.5
Rewrite the equation and simplify
=[tex]\frac{7.58(1.5 * 0.24) }{0.5}[/tex]
= [tex]\frac{7.58 (0.36)}{0.5}[/tex]
= [tex]\frac{2.728}{0.5}[/tex]
= 5.45
4. (16.45-5.05) x (2.46 + 1.24)
Simplify the equation
=(11.4)x (3.7)
=42.18
5. (7.1 x 2.3) ÷ (1.25 x 0.6)
Rewrite the equation and simplify
= [tex]\frac{7.1 * 2.3}{1.25 * 0.6}[/tex]
= [tex]\frac{16.33}{0.75}[/tex]
= 21.77
6. (4.19 + 6.8) ÷ (0.34-0.15)
Rewrite the equation and simplify
= [tex]\frac{4.19 + 6.8 }{0.34 - 0.15}[/tex]
= [tex]\frac{10.99}{0.19}[/tex]
= 57.84
Therefore, the solution to the equations are ;(1) 3.95
(2)19.92
(3) 5.45
(4) 42.18
(5) 21.77
(6) 57.84
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A groundskeeper needs grass seed to cover a circular
field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound
of grass seed covers about 400 square feet of field.
What is the smallest number of bags the
groundskeeper must buy to cover the circular field?
Explain or show your reasoning.
Hint: You can only buy WHOLE bags of grass seed so
you MUST round up!
The smallest number of bags the groundskeeper must buy to cover the circular field is 4.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
The longest line which can be drawn inside the circle will be the diameter.
The perimeter of the circle = 2πr where r is the radius of the circle.
As per the given,
Diameter of the circular field = 290 feet
Radius = 290/2 = 145
Area of circle = πr² = π(145)²
⇒ 66051.985 feet²
In one bag = 50 pounds
Area cover in one bag = 50 × 400 = 20000
Number of bags needed to cover the whole area
⇒ 66051.985/20000 = 3.3025
Since the number of bags is a whole quantity thus it will round up to 4.
Hence "The smallest number of bags the groundskeeper must buy to cover the circular field is 4".
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HELP ME PLEASEEEEEEEEEE
The rules for transformation of first graph is (x + 4, y + 6).
The rules for transformation of second graph is (x + 4, y + 6).
What is Transformation?Transform the forms on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century. In geometry, object transformations are the foundation for the majority of proofs.
In first graph it is clear that the graph is translated and the rule for first graph is (x + 4, y + 6).
Similarly, the second graph is also translated and the rule is (x+3, y).
Therefore, the rule for first graph is (x + 4, y + 6) and the rule for second graph is (x + 4, y + 6).
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5. On Friday night, Samantha ate a pizza for dinner and had 1/2 of the pizza left over. On Saturday, she ate 2/3 of what was left. How much of the pizza did
Samantha eat on Saturday?
Answer:
∴ Samantha ate [tex]\frac{1}{3}[/tex] of the pizza on Saturday.
Step-by-step explanation:
Fraction of pizza left on Friday = [tex]1-\frac{1}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
∴ Fraction of pizza eaten on Saturday = [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{1}{3}[/tex]
Multiply and then simplify, if needed: 3x/ x² - 25 . x²+6x+5/6x²+6x Divide and then simplify, if needed: x²-2x-3/x²+2x+1 ÷ x³ -5x² +6x /x²-3x -4
The simplified form of the expression will be 1 / [2(x - 5)] and [(x - 4) / [x (x - 2)].
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The expression is given below.
⇒ [(3x) / (x² - 25)] · [(x² + 6x + 5) / (6x² + 6x)]
Simplify the expression, then we have
⇒ [(3x) / (x² - 25)] · [(x² + 6x + 5) / (6x² + 6x)]
⇒ [(3x) / (x² - 5²)] · [(x² + 5x + x + 5) / (6x² + 6x)]
⇒ {3x / [(x - 5)(x + 5)]} · {[(x + 5)(x + 1)] / [(6x)(x + 1)]}
⇒ 1 / [2(x - 5)]
The expression is given below.
⇒ [(x² - 2x - 3) / (x² + 2x + 1)] ÷ [(x³ - 5x² + 6x ) / (x² - 3x - 4)]
Simplify the expression, then we have
⇒ [(x² - 2x - 3) / (x² + 2x + 1)] ÷ [(x³ - 5x² + 6x ) / (x² - 3x - 4)]
⇒ {[(x - 3)(x + 1)] / [(x + 2)(x + 1)]} · {[(x - 4)(x + 1)] / [x(x - 3)(x - 2)]}
⇒ [(x - 4) / [x (x - 2)]
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Add (7.8 x 10^5) + (2.4 x 10^5).
[tex](7.8*10^5)+(2.4 * 10^5)[/tex]
[tex](7.8 * 100,000) + (2.4 * 100,000)[/tex]
[tex]780,000 + 240,000[/tex]
= 1,020,000
Answer:
1020000
Step-by-step explanation:
(7.8 x 10^5) + (2.4 x 10^5)
780000+240000
1020000
Hopes this helps please mark brainliest
Find dy/dx =(1+x/1-x)^1/3
The solution to the differentiation dy/dx =(1+x/1-x)^1/3 is [tex]\frac{dy}{dx} = 1^\frac{1}{3}[/tex]
What is differentiation?
Differentiation is a method of finding the derivative of a function.
To find the derivation of the function Simplify
[tex]\frac{dy}{dx} = ( 1+ \frac{x}{1} - x)^ \frac{1}{3}[/tex]
Any expression divided by one remains the same
[tex]\frac{dy}{dx}= ( 1+ x-x) ^\frac{1}{3}[/tex]
Eliminate x
[tex]\frac{dy}{dx} =[/tex] 1 [tex]\frac{1}{3}[/tex]
Therefore, the solution to the differentiation is [tex]\frac{dy}{dx} =[/tex] 1 [tex]\frac{1}{3}[/tex]
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A polygon with an area of (4x^2 + 2x - 16) square units is combined with a rectangle that has a width of (6x + 2) units and a length of (x - 5) units. Then, a polygon with an area of (2x^2 - 30x - 10) square units is removed. What is the area of the final polygon?
The area of the final polygon is 8x² + 4x - 16
Calculating the area of a polygonFrom the question, we are to determine the area of the final polygon.
From the given information,
"A polygon with an area of (4x^2 + 2x - 16) square units is combined with a rectangle that has a width of (6x + 2) units and a length of (x - 5) units."
First, we will determine the area of the rectangle.
Area of the rectangle = (6x + 2)(x - 5)
Area of the rectangle = 6x² - 30x + 2x - 10
Area of the rectangle = 6x² - 28x - 10
Now, we will add it to the area of the polygon
4x² + 2x - 16 + 6x² - 28x - 10
= 4x² + 6x² - 28x + 2x - 10 - 16
= 10x² - 26x -26
Also,
From the given information,
"a polygon with an area of (2x^2 - 30x - 10) square units is removed"
Then,
The area of the final polygon = 10x² - 26x - 26 - (2x² - 30x - 10)
Area of the final polygon = 10x² - 26x - 26 - 2x² + 30x + 10
Area of the final polygon = 10x² - 2x² + 30x - 26x + 10 - 26
Area of the final polygon = 8x² + 4x - 16
Hence, the area is 8x² + 4x - 16
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The Lakeview Toy Factory produced 180 stuffed animals. After donating 25 of the stuffed animals to a local e
Lakeview shipped the rest to 5 stores. Each of the stores received the same number of stuffed animals
Use the drop-down menus to select the response to make each statement true.
The expression
store.
180-25/5 Y
Each of the stores received
Q Revie
can be used to find the number of stuffed animals Lakeview shipped to each
stuffed animals.
The number of stuffed animals Lakeview shipped to each store is 31
The Lakeview Toy Factory produced 180 stuffed animal
It donated 25 of the stuffed animals to a local e
After donation the number of stuffed toys left = 180 - 25 = 155
Lakeview shipped the rest to 5 store
Each of the stores received the same number of stuffed animals
Number of stuffed animals each store recieved = total toys/ number of store
= 155/ 5 = 31
Therefore, the number of stuffed animals Lakeview shipped to each store is 31
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