a + 8. This expression represents the total number of almonds that Daniel snacked on in all.
What is the difference between expression and equation?
An expression is a mathematical phrase that contains numbers, variables, and operations. It can be evaluated to produce a single numerical value or another expression. Expressions do not contain an equal sign (=), and they do not represent a statement that is either true or false.
An equation, on the other hand, is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and represents a statement that is either true or false. Equations typically contain variables that can take on different values, and they can be used to solve for an unknown variable by manipulating the equation using algebraic operations.
To summarize, expressions are mathematical phrases that do not contain an equal sign and can be evaluated to produce a value, while equations are mathematical statements that do contain an equal sign and represent a relationship between two expressions that is either true or false.
We can use addition to represent the total number of almonds that Daniel snacked on. If Daniel snacked on an initial amount of almonds, say "a", and then snacked on an additional 8 almonds, we can write the expression:
a + 8
This expression represents the total number of almonds that Daniel snacked on in all.
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This is a picture of a coordinate grid.(click the picture) which ordered pair describes a point that is located three units to the left of the origin and for units above the x axis.
A, (-3, 4)
B, (3, -4)
C, (-4, -3)
D, (4, -3)
Answer:
Step-by-step explanation:
A- (-3,4)
left on the x-axis would result in negative 3
4 units above the x-axis would result in postive 4
Josslyn's workout consists of swimming and practicing yoga. While swimming she burns 7 calories per minute, and while practicing yoga she burns 5 calories per minute. Josslyn wants to burn at least 500 calories each day.
Let x be the number of minutes she spend swimming and let y be the number of minutes she spends practicing yoga. Write an inequality that models this situation.
Answer:
Step-by-step explanation:
Josslyn burns 7 calories per minute while swimming and 5 calories per minute while practicing yoga. Let x be the number of minutes she spends swimming and y be the number of minutes she spends practicing yoga.
The total number of calories burned, C, is given by:
C = 7x + 5y
To burn at least 500 calories each day, we can write the inequality:
7x + 5y ≥ 500
This inequality states that the total number of calories burned from swimming and practicing yoga, 7x + 5y, must be greater than or equal to 500. Josslyn can achieve this goal by spending a combination of x minutes swimming and y minutes practicing yoga.
Find all the missing angles in the diagram below. Explain how you used two different angle theories to find at least two missing angles.
The measures of the angles in the parallel lines is
m∠a = 97°
m∠b = 15°
m∠c = 68°
m∠d = 68°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the two parallel lines be represented as l and m
Now , the transversal line is t
The measure of m∠a = 97° ( corresponding angles )
The measure of m∠d = 180° - 112° ( angles in a straight line = 180° )
So , the measure of m∠d = 68°
The measure of m∠c = measure of m∠d ( alternate interior angles )
So , the measure of m∠c = 68°
From the triangle formed by the intersection of lines ,
The measure of m∠b = 180° - ( a + d ) ( angles of a triangle = 180° )
So , the measure of m∠b = 180° - ( 97° + 68° )
The measure of m∠b = 15°
Hence , the measures of angles are solved
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Y= 4x-3.
Y= -2x+9 solve the system of equations
Answer:
[tex]y=7,\:x=1[/tex]
Step-by-step explanation:
Given that:
[tex]y=4x+3,\:y=-2x+9\\\\\mathrm{Substitute\:}y=-2x+9\\\\\implies -2x+9=4x+3\\\\\implies -2x-4x = 3-9\\\\\implies -6x = -6\\\\\implies x = 1\\\\\mathrm{For\:}y=-2x+9\\\\\mathrm{Substitute\:}x=1\\\\y=-2\cdot \:1+9\\\\\mathrm{Simplify}\\\\y=7\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\y=7,\:x=1[/tex]
Answer:
y=4x-3
y= 1
Y = -2x+9
Y=7 ans
complete the number pattern 9;27;81?
Answer:
243
Step-by-step explanation:
Going in times 3 so 81 x 3 = 243
GUYS A NEED HELP WITH THIS ASAP, I have to turn it in tomorrow, can y’all help me pls?? :,(
The values that make the inequality m + 4 > -6 true are -4, 0, and 5.
The values that make the inequality n - 3n ≤ 8 true are -4, 0, and 5.
The values that make the inequality -5 < 5f true are 0 and 5.
The values that make the inequality 7 ≤ -y + 7 true are -10, -4, 0, and 5.
An inequality for the statement "Hank's height (h) is less than or equal to 6 feet." is h ≤ 6.
An inequality for the statement "A magazine (m) cost more than $3.50" is m > $3.50.
An inequality for the statement "The temperature (t) is at least -5 degrees" is t ≥ -5.
How to determine the true values?In this exercise, we would evaluate the given inequalities as follows;
-4 + 4 > -6
0 > - 6 (True).
0 + 4 > -6
4 > - 6 (True).
5 + 4 > -6
9 > - 6 (True).
n - 3n ≤ 8
-4 - 3(-4) ≤ 8
8 ≤ 8 (True).
0 - 3(0) ≤ 8
0 ≤ 8 (True).
5 - 3(5) ≤ 8
-10 ≤ 8 (True).
Generally speaking, the phrase "at least" simply means or represents greater than or equal to and it can be denoted by this inequality symbol (≥).
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Solve for x 2x+3-4=10
Answer:
x = 5.5
Step-by-step explanation:
2x + 3 - 4 = 10
2x - 1 = 10
2x = 11
x = 5.5
Let's check
2(5.5) + 3 - 4 = 10
11 + 3 - 4 = 10
14 - 4 = 10
10 = 10
So, x = 5.5 is the correct answer.
Answer: x = 5.5
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
2x + 3 - 4 = 10
Combine like terms on the left side:
2x - 1 = 10
Add 1 to both sides of the equation:
2x = 11
Divide both sides of the equation by 2:
x = 5.5
The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
All the central angles are,
Red= 100°
blue= 150°
green= 50°
purple= 60°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The data below shows the colors preferred by a group of people.
Cooler Number of people
Red= 20
blue= 30
green= 10
purple= 12
Now, Total number of Peoples is,
⇒ 20 + 30 + 10 + 12
⇒ 72
Hence, We get;
Proportion of Red = 20/72 = 5/18 = 10/36
Central angle = 5/18 x 360 = 100°
Proportion of Blue = 30/72 = 15/36
Central angle = 15/36 x 360 = 150°
Proportion of Green = 10/72 = 5/36
Central angle = 5/36 x 360 = 50°
Proportion of Purple = 12/72 = 1/6 = 6/36
Central angle = 1/6 x 360 = 60°
Thus, All the central angles are,
Red= 100°
blue= 150°
green= 50°
purple= 60°
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PLEASE HELP!! I do not understand how to try to solve this!!
Fractions
Barbara, Donna, Cindy and Nicole ran in a relay race. Their times are listed in the chart below
Barbara - 3 3/10
Donna- 2 4/5
Cindy- x
Nicole- 2 1/10
Question- The four girls ran in a relay race as a team. Each girl ran one part of the race. The teams total time was 11 3/5 minutes. What was Cindy's time?
Please help, I can't figure out how to solve this correctly.
Answer:
Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.
Step-by-step explanation:
To find Cindy's time, we need to use the information given about the total time and the times of the other three runners.
Let's first convert all the times to fractions of a minute:
Barbara: 3 3/10 = 3 + 3/10 = 3.3 minutes
Donna: 2 4/5 = 2 + 4/5 = 2.8 minutes
Cindy: x minutes
Nicole: 2 1/10 = 2 + 1/10 = 2.1 minutes
Now, we can set up an equation to represent the total time of the team:
Barbara's time + Donna's time + Cindy's time + Nicole's time = 11 3/5 minutes
Substituting the values we know:
3.3 + 2.8 + x + 2.1 = 11 3/5
Simplifying and converting mixed numbers to fractions:
8/5 + 14/5 + x + 11/5 = 116/10 + 3/5
Multiplying both sides by 10 to eliminate the denominators:
16 + 28 + 10x + 22 = 116 + 6
Simplifying:
10x = 54
Dividing by 10:
x = 5.4
Therefore, Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.
Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4). Mark this and return
The variable y is directly proportional to x, which is the definition of direct variation.
What is coordinate geometry?The intersection of two perpendicular lines, the x-axis and the y-axis, results in a 2D plane known as a coordinate plane. In geometry, a coordinate system is a method for calculating the positions of the points using one or more integers or coordinates.
The graph that represents a function with direct variation is a coordinate plane with a line passing through (0, 0) and some other point that is not the origin.
Out of the given options, the graph that represents a function with direct variation is the coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).
This is because the equation of this line can be written in the form y = mx, where m is the slope of the line. In this case, the slope is:
m = (0 - (-2)) / (-4 - 0) = 1/2
So the equation of the line is y = (1/2)x - 2, which is in the form of y = kx, where k = 1/2. This means that y is directly proportional to x, which is the definition of direct variation.
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What is the measure of the three missing angles in the rhombus below?
Answer: see bellow
Step-by-step explanation: Z is 80 Y is 90 and x is 90
This works because each measure is the same arcoss!!!
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Answer:
x = y = 100° z = 80°Step-by-step explanation:
We are interested in finding out the missing angles of the rhombus . Some properties of rhombus that needs to be kept in mind are ,
Opposite angles are equal.All sides are equal.Opposite sides are parallel.[tex]\implies z = 80^o \\[/tex]
[tex]\implies x = y \\[/tex]
Now since the opposite sides are parallel, the sum of co interior angles would be 180° .
Here x and 80° are co interior angles. So their sum would be 180° . Hence,
[tex]\implies x + 80^o = 180^o \\[/tex]
[tex]\implies x = 180^o - 80^o \\[/tex]
[tex]\implies x = 100^o\\[/tex]
Now since x and y were equal , therefore,
[tex]\implies y = 100^o \\[/tex]
Therefore the value of x is 100° , z is 80° and y is 100° .
1. Amy wants to her ice cream cone filled exactly to the top. The radius of the cone is 2 in. and the height is 6 in. How much ice cream will it take to fill the cone?
2. Jack is going to fill his beach ball with water. The radius of the ball is 24 in. How much water will it take to fill the beach ball?
3. Mary is sending her sister as summer camp a square box filled with tiny candies. The side of the box measures 6 in. How much candy will it take to fill the box?
4. Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radius of 4 in. and a height of 5 in. with flour. How much flour will it take to fill the canister?
5. Aunt Lillian needs to fill a shoebox with packing material. The box measured 9 in by 5 in by 5 in. How much packing material does she need to fill the box?
(It doesn’t matter what the size, the formula stays the same….)\
PLEEAAASEEE HELLLP
1. The volume of a cone is 8π cubic inches.
2. The volume of a sphere is 8π cubic inches.
3. The volume of a cube is 8π cubic inches.
4. The volume of a cylinder is 8π cubic inches.
5. The volume of a rectangular prism is 8π cubic inches.
What is volume?The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.
1. The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2²)(6) = (4/3)π(6) = 8π cubic inches.
2. The volume of a sphere is given by V = (4/3)πr³, where r is the radius. Substituting the given value, we get V = (4/3)π(24³) = 18432π cubic inches.
3. The volume of a cube is given by V = s³, where s is the side length. Substituting the given value, we get V = 6³ = 216 cubic inches.
4. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(4²)(5) = 80π cubic inches.
5. The volume of a rectangular prism is given by V = lwh, where l, w, and h are the length, width, and height, respectively. Substituting the given values, we get V = (9)(5)(5) = 225 cubic inches.
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There are 1 3/4 cookies. If there is 1/8 of a cookie in each bag, how many bags are there
Answer: 8
Step-by-step explanation:
Since 1 batch uses 1/8 of a bag of flour, I would use equivalent fractions to find how many 8ths are in 3/4. 3/4=?/8
4 times 2 equals 8, so I would multiply 3 by 2 also. 3/4=6/8. If 1 batch takes 1/8, then 6 batches would use 6/8 or 3/4 of a bag of flour.
2nd attempt at getting a pair of tens?
The probability of getting a pair of 10s is 1/26.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Here,
Total number of outcomes = 52
Number of outcomes = 2
So, the probability is 2/52
= 1/26
Therefore, the probability of getting a pair of 10s is 1/26.
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f(a) = 3a +5
g(a)=a²-4
Find f(-7) - g(-7)
The composite function when evaluated is -61
How to evaluate the composite functionFrom the question, we have the following functions that can be used in our computation:
f(a) = 3a +5
g(a)=a²-4
Using the above as a guide, we have the following equations
f(-7) = 3(-7) +5 = -16
g(-7) = (-7)²- 4 = 45
So, we have
f(-7) - g(-7) = -16 - 45
Evaluate
f(-7) - g(-7) = - 61
Hence, the solution is -61
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Please help I don’t understand
Answer:
7863
Step-by-step explanation:
i donk know soeet
discuss the implications for classroom practice relative to understanding learning difficulties in mathematics. 1.variations in teaching strategies
The implications for classroom practice relative to understanding implications for mathematics teaching .
What are the social cognitive theory's guiding principles?
The five following social cognition and behavior principles are discussed: (1) the influence of situation on conduct; (2) blindness to situational influences; (3) social perception and self-perception are constructive processes; (4) blindness to the constructed character of social and self-perception; and (5) self.
What does SCT mean by self-regulation?
When faced with externally imposed stimuli, self-regulation enables a person to maintain control over their behavior or response. A person's ability to self-regulate is strengthened through feedback, an externally imposed control that enables behavior modification.
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increase 11,47kg in ratio of 11:7
Answer:
7.0094
Step-by-step explanation:
PLEASE HELP!! THIS IS DUE TONIGHT
The scale factor is 2/3 and the value of x and y are 9 and 10 respectively
What are similar shapes?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
scale factor = length of new shape/ length of original
= 8/12 = 2/3
x = 6 ÷ 2/3
x = 6 × 3/2
x = 9
y = 15 × 2/3
y = 10
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What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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Mary goes to the store to buy Pokémon cards for her sister Cloey’s birthday. She has $4,032 and Pokémon card packs cost $4 each. How many Pokémon cards can she buy?
Answer:
To determine how many Pokémon cards Mary can buy, we need to divide the amount of money she has by the cost per card:
$4,032 ÷ $4 = 1,008
Mary can buy 1,008 Pokémon cards.
D
Incorrect
Your answer is incorrect.
This year Keisha watched 50 movies. She thought that 46 of them were very good. Of the movies she watched, what percentage did she rate as very good?
Keisha rated 92% of the movies she watched as very good.
How to find the percentage of movies that Keisha rated as very good.To find the percentage of movies that Keisha rated as very good, we can use the formula:
Percentage = (Number of movies rated as very good / Total number of movies watched) x 100%
Plugging in the values we have:
Percentage = (46 / 50) x 100%
Percentage = 92%
Therefore, Keisha rated 92% of the movies she watched as very good.
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Describe the difference between simple and compound interest.
A. Simple interest is interest computed on the original principal as well as on any accumulated interest. Compound interest involves interest calculated only on the principal.
B.Simple interest involves interest calculated only on the principal. Compound interest is interest computed only on the accumulated interest.
C.Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.
D.There is no difference between simple and compound interest.
Simple interest is based on principal only and Compound interest is based on principal and interest both. Then the correct option is C.
What are simple interest and compound interest?Let P be the principal, r be the rate of interest, and n be the number of years. Then the interest rate is given as,
The formula for simple interest is written as,
I = (P × r × n)/100
The compound interest is given as
A = P(1 + r)ⁿ
Simple interest is computed just on the principle. Compound interest is interest calculated on both the initial principal and any accrued interest.
Thus, the correct option is C.
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Need help asap! (50 points)
Answer:
8
Step-by-step explanation:
160×5%
[tex]\frac{160 * 5}{100}[/tex] = 8
Given CB is 7 and angle A is 25, find the value of triangle ABC.
The value of area of triangle ABC is found as 11.42 sq. unit.
Explain about the area of triangle?A triangle is really a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides with three angles in every triangle, and some of them could be the same.A triangle's surface area is equal to the product of its base and height.Area of a triangle = ½ × base × height.
From the given data:
Using trigonometric function.
tan 25 = 7 / AC
AC = 7*tan 25
AC = 3.26
Area of triangle ABC = ½ × 7× 3.26
Area of triangle ABC = 11.42
Thus, the value of area of triangle ABC is found as 11.42 sq. unit.
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Use the percent formula, A=PB: A is P percent of B, to answer the following question. 20% of what number is 46.0?
Answer:
230
Step-by-step explanation:
trying to find (in this case, 46.0), P is the percentage (20%), and B is the whole amount we're looking for. We can write this equation as:
46.0 = 0.20B
To solve for B, we can divide both sides by 0.20:
B = 46.0 / 0.20
B = 230
Therefore, 20% of 230 is 46.0.
A map is drawn on a coordinate plane. The school media center is located at (-20, 22). The school cafeteria is located at (-12,22). The school office is located at (-20,18). The three locations form a triangle. If one using on the cooridnate plane represents 100 feet, what is the distance, in feet, between the media center and the office
The distance between the media center and the office is 4 times 100, or 400 feet.
What is the distance formula?Distance Formula. ⇒ [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] Using this formula in the equation, we get
Using the distance formula, we can find the distance between the media center and the office:
[tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
where (x1, y1) are the coordinates of the media center (-20, 22) and (x2, y2) are the coordinates of the office (-20, 18).
[tex]d = \sqrt{((-20 - (-20))^2 + (18 - 22)^2)}\\= \sqrt{(0 + (-4)^2)}\\= \sqrt{(16)}\\= 4[/tex]
Since one unit on the coordinate plane represents 100 feet.
Hence, the distance between the media center and the office is 4 times 100, or 400 feet.
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Assume that the variable represents a positive real number.
The variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].
What are exponents?The amount that indicates how many times to multiply the base is known as an exponent. The base is the larger number at the bottom, while the exponent is the smaller number on top.
The reverse of an exponent is a root, which involves determining the base given an exponent. Thus, if the square root of 64 has to be obtained, find the number that has been multiplied by itself twice.
The given expression is:
√u¹⁹
Using the exponents rule we have:
[tex]u^{19/2}[/tex]
Hence, the variable represents a positive real number, it can be simplified as follows [tex]u^{19/2}[/tex].
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Sasha solved an equation. The last line of her solution is 0 = 13. Sasha says that the solution to her equation is 13. Is she correct? Why or why not?
Answer:
No, Sasha's conclusion is not correct. If her last line is 0 = 13, this means that 0 is equal to 13, which is not true. Therefore, there is no solution to the equation that Sasha solved.
It's possible that Sasha made an error in her algebraic manipulations that led to this incorrect conclusion. It's also possible that there is no solution to the equation. In either case, the fact that her last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
Step-by-step explanation:
step-by-step explanation of why Sasha's conclusion is not correct:
Given: Sasha's last line of her solution is 0 = 13.
Recall that the goal of solving an equation is to find the value(s) of the variable that make the equation true.
If the equation is true, then both sides of the equation should be equal.
However, Sasha's last line states that 0 is equal to 13. This is not true, since 0 is not equal to 13.
Therefore, the conclusion that the solution to the equation is 13 is not correct.
It's possible that Sasha made an error in her algebraic manipulations, which led to this incorrect conclusion.
Alternatively, it's possible that the equation itself is inconsistent and has no solution.
In either case, the fact that Sasha's last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
No, Sasha's conclusion is not correct. If her last line is 0 = 13, this means that 0 is equal to 13, which is not true. Therefore, there is no solution to the equation that Sasha solved.
Why is there no solution?It's possible that Sasha made an error in her algebraic manipulations that led to this incorrect conclusion. It's also possible that there is no solution to the equation. In either case, the fact that her last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
Given: Sasha's last line of her solution is 0 = 13.
Recall that the goal of solving an equation is to find the value(s) of the variable that make the equation true.
If the equation is true, then both sides of the equation should be equal.
However, Sasha's last line states that 0 is equal to 13. This is not true, since 0 is not equal to 13.
Therefore, the conclusion that the solution to the equation is 13 is not correct.
It's possible that Sasha made an error in her algebraic manipulations, which led to this incorrect conclusion.
Alternatively, it's possible that the equation itself is inconsistent and has no solution.
In either case, the fact that Sasha's last line is 0 = 13 indicates that there is an error in her solution or that the equation is inconsistent and has no solution.
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George buys a set of 224 stamps he gives 44 stamps to a friend
Answer:
what am i suppose to answer !!!!
Answer:
he has 180 left
Step-by-step explanation:
because 224-44=180