The farmer's market originally had 400 peaches on hand.
What is an equation?
An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and radicals.
Let's use x to represent the original number of peaches the farmer's market had on hand.
We know that the farmer's market sold 35% of its produce, which means it sold 0.35x peaches. The remaining number of peaches can be calculated by subtracting the number of peaches sold from the original number of peaches:
remaining peaches = x - 0.35x
We also know that there are 260 peaches remaining, so we can set up an equation:
260 = x - 0.35x
Simplifying this equation, we can combine like terms:
260 = 0.65x
To solve for x, we need to isolate the variable by dividing both sides by 0.65:
x = 260 / 0.65
x = 400
Therefore, the farmer's market originally had 400 peaches on hand.
To explain how we used equivalent ratios, we used the fact that the farmer's market sold 35% of its produce. This can be represented as a ratio of 35/100 or 0.35. We then used this ratio to find the number of peaches sold, which is 0.35x. We also used the fact that the remaining peaches are the original peaches minus the peaches sold, or x - 0.35x. Finally, we set up an equation using the remaining peaches and solved for x to find the original number of peaches.
Hence, the farmer's market originally had 400 peaches on hand.
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Use the distributive property to write an equivalent expression.
7 (3r + 7s -4)
The required equivalent expression using the distributive property is: [tex]$$\boxed{21r + 49s - 28}$$[/tex]
Explain about distributive property.This principle states that multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
According to question:Using the distributive property, we can distribute the factor of 7 to each term inside the parentheses:
7(3r + 7s - 4) = 7(3r) + 7(7s) - 7(4)
Simplifying each term:
= 21r + 49s - 28
Therefore, the equivalent expression using the distributive property is:
[tex]$$\boxed{21r + 49s - 28}$$[/tex]
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Each morning Dillion walks to the bus stop before school. It takes him 120 seconds to get there. Over the course of the school year (180 days), how many hours does Dillon spend walking to the bus stop in the morning?
Answer:
Step-by-step explanation:
95 hours
The graph shows the total cost c of buying one parking pass and t tickets to a concert. Write an equation from the graph that could be used to find the total cost c if you buy one parking pass and t tickets to a concert.
The linear equation on the graph is written as:
y = 20x + 10
Which is the equation of the line in the graph?Remember that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
By looking at the graph, we can see that the line intercepts the y-axis at y = 10, then the y-intercept is b = 10.
We can write:
y = a*x + 10
Now we can also identify the point (1, 30), replacing the values of that point in the equation above we will get:
30 = a*1 + 10
30 = a + 10
30 - 10 =a
20 =a
Then the linear equation is:
y = 20x + 10
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The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line. A line in the box is at 35. The lines outside the box end at 10 and 55. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the median of the data?
10
20
35
55
The value of the median of the data is 35.
What is Algebraic expression?
Algebraic expression can be defined as combination of variables and constants.
A box plot is a graphical representation of a data set that shows the distribution of the data, as well as the central tendency and the variability of the data. In this case, the box plot displays the number of push-ups completed by 9 students in a PE class.
The box plot has a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line, which means that the middle 50% of the data (i.e., the interquartile range) lies between 20 and 42.5. The line in the box represents the median of the data, which is the value that separates the data set into two equal halves.
In this case, the line in the box is at 35, which means that half of the students completed more than 35 push-ups, while the other half completed fewer than 35 push-ups.
Therefore, the value of the median of the data is 35.
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Sam is collecting money for an animal shelter. He collects $150.00 each day for 6 days. The shelter will use 35% of the money he collects to buy pet food. The rest of the money will be used to buy cleaning supplies.
How much of the money that Sam collects will be used to buy cleaning supplies?
Answer:
$585 dollars will be used for cleaning supplies out of the total of $900 that was collected over the six days.
Step-by-step explanation:
$150.00 (money each day) * 6 (number of days) = $ (total)
[tex]150*6=900[/tex]
$900 in 6 days
100% (total amount) - 35% (pet food) = % (cleaning supplies)
[tex]100-35=65[/tex]
65% of his money will be used for cleaning supplied
Change the percentage into a decimal
65% = [tex]0.65[/tex]
Multiply the total amount of money by the decimal
[tex]900*0.65=585[/tex]
Out of the total $900 dollars he collected over 6 days, $585 dollars will be used for cleaning supplies and the rest ($315) will be used on pet food.
can you help please
Answer:
1: 2.097,2: 1000,3: 1.4282,4: 10000,5: 2.774546,6: 10,7: 2.00141,8: 1000,9: 100,10: 10
Step-by-step explanation:
Multiplication and division I don't know how to explain it lol
Find the volume of each solid
B] Ans ~
Given:-
[tex] \rm{Height ( h ) = \bold 9in}[/tex][tex] \: [/tex]
[tex] \rm \: Length ( l ) = \bold 7in[/tex][tex] \: [/tex]
[tex] \rm Width ( w ) = \bold 4in[/tex][tex] \: [/tex]
To find:-[tex] \rm \: Volume \: of \: solid = \: ?[/tex][tex] \: [/tex]
By using formula:-[tex] \small{ \star{ \boxed{ \rm{ \red{Volume \: of \: solid \: = lwh}}}}}[/tex]
[tex] \: [/tex]
Solution:-[tex] \rm \: v = lwh[/tex][tex] \: [/tex]
[tex] \rm \: v = ( \: 7 \: )( \: 4 \: )( \: 9 \: )[/tex][tex] \: [/tex]
[tex] \rm \: v = 28×9[/tex][tex] \: [/tex]
[tex] \underline{ \boxed{ \rm{ \purple{v= 259in³}}}}[/tex][tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
0.004 divided by
0.24
Answer:
0.0166666666666666666666666666666666666666666667
Step-by-step explanation:
USE CALCULATORRRRRR
How do you solve problems with integers?
first, you must identify which operation you need to fo first.
then, you need to think about which ______ _____ you need to use.
To solve problems with integers, first, you must identify which operation you need to first then, you need to think about which mathematical operations you need to use.
What is integers ?
Integers are a set of whole numbers that include both positive and negative numbers, as well as zero. Integers can be represented on a number line that extends infinitely in both directions.
To solve problems with integers, you need to understand the basic operations such as addition, subtraction, multiplication, and division. You also need to know the rules and properties of integers, such as the commutative, associative, and distributive properties, as well as the rules for adding, subtracting, multiplying, and dividing positive and negative integers.
When solving a problem with integers, you should first identify which operation you need to perform first based on the order of operations. This order is typically remembered with the acronym PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). Once you have identified the operation, you can use the appropriate mathematical technique to solve the problem.
Therefore, to solve problems with integers, first, you must identify which operation you need to first then, you need to think about which mathematical operations you need to use.
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Charlotte buys a ticket for a raffle with several prizes. The probability that she wins a
prize is 12%. Which word or phrase describes the probability that Charlotte will win a
prize?
O impossible
unlikely
an equal chance or 50-50
O likely
The word or phrase that describes the probability that Charlotte will win a prize, with a probability of 12%, is D. likely.
What is the probability?Probability refers to the likelihood of an expected outcome occurring, given the many possible chances.
Probability lies between zero and one, depending on the level of certainty or otherwise of the successful outcomes.
In this situation, Charlotte's chances of winning cannot be described as impossible, zero percent, or unlikely.
Charlotte does not have an equal chance or 50-50 odds of winning because the probability is not up to 50%.
Thus, we can conclude that Charlotte has a D. likely opportunity of winning.
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5 Find the value of x. Q (16x - 22) P R
Solution of equation 16x - 22 = 20x + 14 is x = -8
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equation
16x - 22 = 20x + 14
Moving like terms to same side
- 20x + 16x = 14 + 22
Adding like terms
-4x = 36
Dividing by -4 on both sides
x = 36/-4
x = -8
Hence, x = -8 is the solution of equation 16x - 22 = 20x + 14.
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Complete question is:
Find the value of x, in equation 16x - 22 = 20x + 14
Julia needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 316 glasses. There are currently 286 glasses. If each set on
sale contains 6 glasses, use the drop-down menu below to write an inequality
representing s, the number of sets of glasses Julia should buy
Answer:
Julia should buy at least 5 sets of glasses.
Step-by-step explanation:
The inequality will be
286 +6s ≥ 316
Solve for s to get s ≥ 5
Pls help i don’t know how to do this
Using the altitude or leg rule, we have:
x ≈ 42.7
y = 40
z ≈ 53.4
How to Apply the Altitude or Leg Rule?The leg rule is given as:
hypotenuse/leg = leg/part.
The altitude rule is:
left/altitude = altitude/right
To find the value of x, apply the altitude rule:
left = x
right = 24
altitude = 32
Substitute:
x/32 = 32/24
Cross multiply:
24x = 32²
24x = 1,024
x ≈ 42.7
To find y, apply the leg rule:
leg = y
part = 24
hypotenuse = x + 24 = 42.7 + 24 = 66.7
Substitute:
66.7/y = y/24
y² = 1,600.8
y = √1x00.8
y = 40
To find z, apply the leg rule:
leg = z
part = x = 42.7
Hypotenuse = 66.7
Substitute:
66.7/z = z/42.7
z² = 2,848.09
z = √2,848.09
z ≈ 53.4
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what is the answer for the question
Find the surface area of the pyramid. A triangular pyramid. The base triangle has a base of 8 meters and a height of 6.9 meters. The height of a triangular face is labeled 7 meters. The surface area is square meters.
If the base triangle has a base of 8 meters and a height of 6.9 meters. the surface area of the pyramid is 139.6 square meters.
How to find the surface area?First, let's find the area of the base triangle:
Area of base triangle = (1/2) * base * height
Area of base triangle = (1/2) * 8 * 6.9
Area of base triangle = 27.6 square meters
Now, let's find the area of one of the triangular faces:
Area of triangular face = (1/2) * base * height
Area of triangular face = (1/2) * 8 * 7
Area of triangular face = 28 square meters
Since the pyramid has four triangular faces, the total area of the triangular faces is 4 times the area of one triangular face, which is:
4 * 28 = 112 square meters
Total surface area = area of base triangle + area of triangular faces
Total surface area = 27.6 + 112
Total surface area = 139.6 square meters
Therefore, the surface area of the pyramid is 139.6 square meters.
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The diagram shows a triangle.
v+32°
What is the value of v?
V =
Submit
15v
36°
Just need answer thanks a lot
Answer:7
Step-by-step explanation:
63, 00, 22,------? solved the next number
The next number in the sequence is 47, 1, and 27.
What is a number series?
A series of numbers is called a number series. We must identify the rules that lead to the formation of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
One possible pattern in this sequence is that each number is the reverse of the sum of the digits of the previous number, followed by the next odd number. Applying this pattern to the given sequence, we have:
The reverse of 63 is 36. The sum of the digits of 63 is 6 + 3 = 9. Therefore, the next number is 36 + 9 = 45, followed by the next odd number, which is 47. So the next number is 47.
The reverse of 00 is 00. The sum of the digits of 00 is 0 + 0 = 0. Therefore, the next number is 00 + 0 = 0, followed by the next odd number, which is 1. So the next number is 1.
The reverse of 22 is 22. The sum of the digits of 22 is 2 + 2 = 4. Therefore, the next number is 22 + 4 = 26, followed by the next odd number, which is 27. So the next number is 27.
Therefore, the next number in the sequence is 47, 1, 27.
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charlie has x pieces of candy .He shares ten with betsy and is left with 24 pieces of candy.Wich of the fowlling equations best reresents the situation
A)10+x=24
B)x+24=10
C)x-10=24
Answer:
2. x-10=24
Step-by-step explanation:
x is the unknown amount of candy that Charlie has.
He gives ten away (-10).
Now he has 24 pieces.
x-10 = 24
The letters of the alphabet are written on
cards and placed in a brown paper bag. What
is the probability of drawing a vowel,
replacing it, and then drawing a Z?
The probability of drawing a vowel, replacing it, and then drawing a Z is 5/676.
The alphabet consists of 26 letters, and 5 of them are vowels (A, E, I, O, U). Hence, 5/26 of the time, a vowel will be drawn in the initial draw.
The likelihood of drawing a Z on the second draw is also 1/26, due to the fact that the card is changed after the first draw.
We can multiply the probabilities to determine the likelihood that both of these occurrences will occur:
P(Draw a Z after a vowel is drawn) = P(Draw a vowel) P(Draw a Z after the vowel is replaced) = (5/26) (1/26) = 5/676
As a result, the likelihood of drawing a Z after substituting a vowel is 5/676.
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You want to estimate the average class size of Basic Statistics classes at a certain college. You take a random sample of 50 students who are taking Basic Statistics this semester and ask them how large their class is. You average the results and get an average class size of 38. You then look at an Admissions and Records spreadsheet for this semester for the same college and get an average class size of Basic Statistics equal to 25. This is too large of a difference to attribute to random variation. Also, there's nothing wrong with your sample. What's wrong?
The sample size οf 50 might nοt be large οr randοm enοugh, and there might be sοme systematic bias οr errοr in the data sοurces, leading tο a large difference between the sample mean (38) and Admissiοns and Recοrds data (25) in estimating the average class size οf Basic Statistics classes at the cοllege.
What are the statistics?Statistics is a branch οf mathematics that deals with the cοllectiοn, analysis, interpretatiοn, presentatiοn, and οrganizatiοn οf data. It invοlves the use οf mathematical tοοls and techniques tο extract useful infοrmatiοn frοm data, and tο make decisiοns οr predictiοns based οn that infοrmatiοn.
In the given scenariο, it seems that there might be an issue with the methοd used tο cοllect the data, οr the data sοurces might be different. The sample size οf 50 students is nοt large enοugh tο represent the whοle pοpulatiοn οf Basic Statistics classes at the cοllege, especially if the cοllege has many sectiοns οf the class οr the class size varies widely between sectiοns. Mοreοver, the sample might nοt be truly randοm, as there cοuld be sοme bias in hοw the sample was selected, such as selecting οnly students frοm a particular sectiοn οr time slοt.
Alsο, the difference between the average class size οbtained frοm the sample (38) and the οne οbtained frοm Admissiοns and Recοrds (25) is tοο large tο attribute tο randοm variatiοn, which suggests that there might be sοme systematic bias οr errοr in either the sample οr the Admissiοns and Recοrds data.
Tο get a mοre accurate estimate οf the average class size οf Basic Statistics classes at the cοllege, a larger and mοre representative sample might be needed, οr the data cοllectiοn methοd might need tο be revised.
Hence, The sample size οf 50 might nοt be large οr randοm enοugh, and there might be sοme systematic bias οr errοr in the data sοurces, leading tο a large difference between the sample mean (38) and Admissiοns and Recοrds data (25) in estimating the average class size οf Basic Statistics classes at the cοllege.
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I have a triangular shaped base I am composed of 3 rectangular faces I am a 3D figure
Answer:
Rectangle pyramid
What is a rectangle pyramid ?
A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.
A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid can be a right pyramid or oblique pyramid. If it is a right rectangular pyramid, then the apex lies right over the center of the base and if it is an oblique rectangular pyramid, the apex is not directly over the center of the base, but at some angle from the center.
Apart from the rectangular pyramid, there are other types of pyramids based on the shape of their bases, such as:
1) Triangular Pyramid
2) Square Pyramid
3) Pentagonal Pyramid
4) Hexagonal Pyramid
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8 ft
4 ft
8 ft
Find area
Answer: 80 ft squared
Step-by-step explanation:
For the square, the formula is base times height which, in this case, are both 8. 8 x 8 = 64. Next, the triangle below is (8 x 4)/2 because the formula for a triangle is base x height divided by 2. 8 x 4 = 32 divided by 2 is 16.
64 + 16 = 80
So, your answer will be 80ft squared
Hope this helped!
Need answer for number 5.
The triangle AEC is similar to triangle BDC.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given:
5. ΔAEC is a triangle.
Assuming BD is parallel to AE.
The ratio of the corresponding sides,
10/5 = 2
8/4 = 2
The ratio is constant.
A similar triangle is made by drawing a line parallel to one of the triangle's sides.
Therefore, triangle AEC ~ triangle BDC.
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Find the value of x.
Answer:
43 degrees
Step-by-step explanation:
85 degrees + 25 = 110 and the angle sum for a right triangle will always equal 180 degrees. The outside angle is 62 degrees, so 62 +70= 132. 180-132 is 48. Now you want to solve the angle sum for the shorter wider triangle. We know one angle is 89 degrees, plus the 48 degrees= 137. Now to find ? do 180-137=43. The missing angle for ? is 43 degrees.
I hope this helps :)
A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270°?
Use 3.14 for pi and round the decimal to the nearest tenth.
The area of the sector is 37.68ft²
What is the area of a sector?The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It just covers a small portion of the circle's total area.
Area of a sector
The area of a sector can be gotten using the expression (θ/360º) × π r ² where
θ is the angle subtended at the center, given in degrees.r is the radius of the circle.∅ = 270°r = 4ftUsing the expression we will get,(270/360) x 3.14 x 4²
From the solution, we will find the area to be 37.68ft²
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6464 is
4
44 times the difference between Sarah's age,
�
aa, and
44
4444. Assume Sarah is older than
44
4444.
Write an equation to determine Sarah's age
(
�
)
(a)left parenthesis, a, right parenthesis.
Sarah's age using the equation of the situation is 60 years.
How do equations work?A mathematical statement that establishes the equality of two expressions is known as an equation. Variables are elements in equations that can change or have different values assigned to them. Finding the value or values of the variable that make the equation true is the aim of equation solving. Several branches of mathematics and science employ equations to simulate real-world scenarios and examine the interactions between different variables.
Equations come in a variety of forms, including differential, quadratic, and linear equations. Algebraic methods can be used to solve some problems analytically, while numerical approaches or computer simulations may be necessary for others.
Let us suppose Sarah's age =a.
From the given situation we have:
64 = 4(a - 44)
64/4 = a - 44
16 = a - 44
a = 60
Hence, Sarah's age using the equation of the situation is 60 years.
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HELP ASAP PLEASE, I WILL MARK ANSWER BRAINLIEST IF CORRECT!!!.
Triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A′(−4.5, 2)
A′(3, 3)
A′(4.5, 2)
A′(4.5, 3)
The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
What is triangle ?
A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.
According to given information :In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.
Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.
To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.
Therefore, the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).
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What are the possible values for
From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m
Please imma give brainlest
Help
The converse of the [tex]H[/tex]inge theorem indicates that the angle subtended by the segment [tex]\overline{LM}[/tex], (∠K) which is less than the length of the segment [tex]\overline{OP}[/tex], will be less than the measure of the angle subtended by the segment [tex]\overline{OP}[/tex], which is 90°
The possible values for angle ∠K is; m∠K < 90°What is the H-i-n-g-e Theorem?The h-i-n-g-e theorem, which is also known as the open mouth theorem states that two triangles that have a pair of corresponding congruent sides and which have different measure of the included angle between the sides, then the third side of the triangle with the larger included angle will be longer.
The h-i-n-g-e theorem can be deduced from the triangle inequality theorem.
The corresponding congruent sides in the two triangles are;
[tex]\overline{KL}[/tex] is congruent to [tex]\overline{ON}[/tex], [tex]\overline{KM}[/tex] is congruent to [tex]\overline{NP}[/tex]
[tex]\overline{LM}[/tex] = 7 is less than [tex]\overline{OP}[/tex] = 9
Therefore;
[tex]\overline{LM}[/tex] < [tex]\overline{OP}[/tex]
m∠N = 90°, therefore, the converse of the h-i-n-g-e theorem, indicates that the angle subtended by the segment [tex]\overline{LM}[/tex] is less than the angle subtended by the angle [tex]\overline{OP}[/tex], which is 90°
The angle ∠K is less than the angle ∠N
m∠K < m∠N = 90°
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What is the simplest radical form of the expression?
We can write the expression in the simplest form as -
[tex]$4x^{2} y^{2} \sqrt[3]{x^{2} y^{2} }[/tex].
What is expression?An expression is a term made up of both constants and variables.
Given is the expression as -
[tex]$(8x^{7} y^{4} )^{2/3} \\[/tex]
We can solve as -
[tex]$(8x^{7} y^{4} )^{2/3} \\[/tex]
[tex](8^{2/3} x^{7\times\frac{2}{3} } y^{4\times\frac{x}{y} 2/3})[/tex]
[tex]$4x^{2} y^{2} \sqrt[3]{x^{2} y^{2} }[/tex]
Therefore, we can write the expression in the simplest form as -
[tex]$4x^{2} y^{2} \sqrt[3]{x^{2} y^{2} }[/tex].
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The parts of a solid are faces, vertices and __________.
arcs
angles
edges
rays
Answer:
I'd say edges