Question 6 of 25
What are the solutions to the system of equations graphed below?
Answers
The solutions to the system of equations are given as follows:
(0, -4) and (2,0).
How to obtain the number of solutions of the system of equations?The number of solutions of the system of equations is given by the number of times which the two functions intersect.
The two intersection points are given as follows for this problem:
(0, -4) and (2,0).
Which are the solutions to the system of equations.
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Related Questions
A construction worker places 60 bricks to make a wall. If he places 6 bricks in each column, how many columns are there?(1 point)
Answers
Answer:
10 columns
Step-by-step explanation:
[tex]\frac{60}{6}=10[/tex] columns
Find the next three terms in the following arithmetic sequence.
-4, 5, 14, 19 …
Answers
The next three terms in the following arithmetic sequence -4, 5, 14, 19 … include the following:
Term 5 = 32.
Term 6 = 41
Term 7 = 50
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Next, we would determine the common difference as follows.
Common difference, d = a₂ - a₁
Common difference, d = 5 - (-4)
Common difference, d = 9
Next, we would determine the next three terms as follows:
a₅ = a₁ + (n - 1)d
a₅ = -4 + (5 - 1)9
a₅ = 32
a₆ = a₁ + (n - 1)d
a₆ = -4 + (6 - 1)9
a₆ = 41
a₇ = a₁ + (n - 1)d
a₇ = -4 + (7 - 1)9
a₇ = 50
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Solve for x provide proofs pleaseee
Answers
Answer:
x = ~4.40 or [tex]\sqrt{19.37}[/tex]
Step-by-step explanation:
This is a right triangle, so we will use the Pythagorean Theorem.
The theorem goes as follows: [tex]a^2 + b^2 = c^2[/tex]
Let's set x as the a value in the theorem. Plug in 6.8 for b, and 8.1 for c.
[tex]x^2 + (6.8)^2 = (8.1)^2[/tex]
Then, simplify!
[tex]x^2 + 46.24 = 65.61[/tex]
Subtract 46.24 on both sides.
[tex]x^2 = 19.37[/tex]
Take the square root of both sides
[tex]x =\sqrt{19.37}[/tex]
Voila!
All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. How many 3 digit dropdown numbers are there?
Answers
Answer:
112
Step-by-step explanation:
You want the number of 3-digit "dropdown numbers".
Dropdown numberA "dropdown number" has distinct digits, one of which is the average of all digits.
We can count the number of dropdown numbers by considering the digit that is the average of the rest. For that digit (n), the number of possible choices of the other digits is the lesser of (n) or (9-n). For example, for n=2, we can have other digit pairs of (0, 4) or (1, 3). For n=6, we can have other digit pairs of (5, 7) or (4, 8) or (3, 9).
CountingThe value of n may range from 1–8, inclusive, so the number of digit triples will be 2(1 +2 +3 +4) = 20. Each triple of digits can be arranged 6 ways, for a total of 20·6 = 120 numbers of 3-digits.
Of those, 8 numbers will have a leading 0, so may not count as 3-digit numbers. That leave a total of 120 -8 = 112 3-digit dropdown numbers.
__
Additional comment
The first 5 in numerical order are ...
102, 120, 123, 132, 135
The last 5 are ...
957, 963, 975, 978, 987
In general, a number on the list, m, has a corresponding number 999-m also on the list. The exceptions are numbers that have a leading digit of 0.
What is 576 square root by division method?
Answers
Answer:
√576 = 24
Step-by-step explanation:
You want to find the square root of 576 by the long division method.
MethodThe attachment shows the result of applying the method.
The dividend is marked off in 2-digit groups working outward from the decimal point. An overline is typically used. Here, 76 is the group closest to the decimal point, and the next "group" is 5The integer part of the square root of the leftmost 2-digit group is written as the leftmost digit of the root. Here the integer part of the square root of 5 is 2, so that is the first root digit.The quotient digit is appended to the divisor, and the result is multiplied by the root digit. For the first step here, the digit 2 is appended to 0, and multiplied by the root digit 2. The product, 4, is subtracted from the dividend so far, and the next 2-digit group is appended to the result to form the next "dividend."The root so far is doubled and written as the first digits of the new divisor. This will be 2·2 = 4, with space left to append the next root digit: 4_.The next root digit is the largest integer that can be appended to the divisor, and multiplied by that divisor to obtain a value that is at most equal to the "dividend." Here, the second digit of the root is 4, and 44 · 4 = 176. This value is subtracted from the dividend resulting from step 3. Here, they are equal, so the difference is zero, and we're done. If there are more digits and/or the difference is not zero, then the process is repeated from step 3.The root of 576 is 24.
Linear equations test
Answers
-3/4 is slope of the linear equation 3x+4y=5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form for linear equations in two variables is Ax+By=C.
3x+4y=5 is a linear equation in standard form.
4y=5-3x
Divide both sides by 4
y=5/4-3/4x
y=-3/4x+5/4
The slope of the equation is -3/4.
Hence, the slope of the linear equation is -3/4.
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The complete question is given below:
Find the slope of linear equation 3x+4y=5?
Diane pays $3.84 for a bag of 16 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answers
what is the value of 77 degrees f in c?
Answers
The value of 77 degrees Fahrenheit (°F) is equal to 25 degrees Celsius (°C).
The conversion from Fahrenheit to Celsius involves a simple mathematical formula, which is as follows:
°C = (°F - 32) x 5/9
In this formula, °F represents the temperature in degrees Fahrenheit, while °C represents the temperature in degrees Celsius.
To convert 77 degrees Fahrenheit to Celsius, we first plug in the value of 77 for °F:
°C = (77 - 32) x 5/9
Next, we simplify the expression inside the parentheses:
°C = 45 x 5/9
We can simplify this further by multiplying 45 and 5/9:
°C = 225/9
We can then simplify this fraction by dividing both the numerator and denominator by the greatest common factor, which is 9:
°C = 25
Therefore, we conclude that 77 degrees Fahrenheit is equivalent to 25 degrees Celsius.
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An airplane covers 2 124 kilometres in 6 hours. How many minutes does it take to cover 1 770
kilometres?
Answers
Answer:
Step-by-step explanation:
It would take 300 minuets
During the month of May, the sheriff's department issued 130 traffic tickets for speeding or failure to obey traffic signals. The fine for each speeding ticket
was $67.00, and each fine for failure to obey traffic signals was $67.00. The sheriff's department collected $8,710.00 in fines from these two offenses.
Which system of equations can be used to determine the number of speeding tickets given, x, and the number of tickets given for failure to obey traffic
signals, y?
Answers
Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:
x + y = 130
The total amount of money collected in fines is $8,710.00, so we have:
67x + 67y = 8710
These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.
Step-by-step explanation:
a jet travels 470 miles in 5 hours at this rate how far could the jet fly in 8 hours
Answers
Jet could fly a distance of 752 miles in 8 hours if it travels at the same rate.
What is Speed?Speed is defined as the unit rate in terms of distance travelled and the time taken to travel the distance.
Speed has only magnitude and no direction and therefore is a scalar quantity.
Given that,
a jet travels 470 miles in 5 hours.
Distance travelled = 470 miles
Time taken to travel the distance = 5 hours
Speed of the jet = 470 miles / 5 hours = 94 miles per hour
Given that jet is travelling at the same rate. So the speed is constant.
We have to find the distance travelled in 8 hours.
Let d be the distance.
Speed = Distance / Time
Distance = Speed × Time
d = 94 × 8
d = 752 miles
Hence the distance travelled is 752 miles in 8 hours.
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The base of a right rectangular prism and a rectangular pyramid is 4 [tex]cm^{2}[/tex]. The height of the pyramid is 3 times larger than the prism. How does the volume of the pyramid compare to the volume of the prism?
Question 3 options:
A) The volume of the pyramid is 3 times larger than the prism.
B) The volume of both shapes are the same.
C) The volume of the pyramid is 9 times larger than the prism.
D) The volume of the pyramids is 1/3 times larger than the prism.
Answers
Yhe volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."
What is the straightforward meaning of volume?
Three-dimensional space is occupied by everything. Here, the volume of the space is calculated. A three-dimensional object's volume is the area included inside its bounds. It is also referred to as an object's capability occasionally.
[tex]\mathrm{h_{py} = 3 \times h_p}[/tex]
The volume of the prism is given by:
[tex]V_p[/tex] = base area × height = 4 cm² × [tex]h_p[/tex]
The volume of the pyramid is given by:
[tex]\mathrm{V_{py}}[/tex] = (1/3) * base area * height = (1/3) * 4 cm² * [tex]h_{py[/tex]
Using the equation for [tex]h_{py[/tex] from above, we can substitute:
[tex]\mathrm{V_{py}}[/tex] = (1/3) * 4 cm² * 3 * [tex]h_p[/tex] = 4 cm² * [tex]h_p[/tex] = [tex]V_p[/tex]
So the volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."
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which terms are used to describe events that have NO outcomes in COMMON?
Answers
Events that have no outcomes in common are said to be disjoint or mutually exclusive.
Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.
If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.
Set A = {2, 4, 6, 8, 10, 12, 14, 16}
Set B = {1, 3, 5, 7, 9, 11, 13, 15}
A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.
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Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Select all the statements that are true about Micah’s survey.
Micah will obtain a random sample by talking to as many surfers as possible.
The population for the survey is all people who surf at Breakers Point.
Micah will not get a representative sample.
Micah's sample will be representative because anyone can surf at Breakers Point.
Micah's sample is all people who surf at Breakers Point.
Answers
The statements which are true about Micah's survey are;
Micah will not get a representative sample.The population for the survey is all people who surf at Breakers Point.Which statements are true about Micah's sample?As evident in the task content; Micah wants to know the most common style of surfboard used at Breakers Point.
Hence, it can be inferred that the population of the survey in this context is; all people that surf at Breakers Point.
Also, since Micah only surveys surfers between 8:00 AM and 12:00 PM, it follows that; Micah will not get a representative sample.
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Can I please have some help? THanks
Answers
By using the function rule, the missing values in table should be completed as follows;
x -2 -1 0 1 2
y -16 -6 4 14 24
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = -2, the y-value of this linear function is given by;
-10x + y = 4
y = 10x + 4
y = 10(-2) + 4 = -16.
When the value of x = -1, the y-value of this linear function is given by;
y = 10x + 4
y = 10(-1) + 4
y = -6.
When the value of x = 0, the y-value of this linear function is given by;
y = 10x + 4
y = 10(0) + 4
y = 4.
When the value of x = 1, the y-value of this linear function is given by;
y = 10x + 4
y = 10(1) + 4
y = 14.
When the value of x = 2, the y-value of this linear function is given by;
y = 10x + 4
y = 10(2) + 4
y = 24.
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9th grade math i need help in
Answers
The fourth term in the sequence is 7.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
Given is the first term of a sequence.
c(1) = 56
Also, there is given an nth term of the sequence.
c(n) = c(n - 1) [tex]\frac{1}{2}[/tex]
This means that every term in the sequence is the half of the preceding term.
So this is a geometric sequence with a common ratio of 1/2.
nth term of a geometric sequence = a. rⁿ⁻¹, where a is the first term and r is the common ratio.
Given, first term = 56 and we found r = 1/2
c(4) = 56 × ([tex]\frac{1}{2}[/tex])⁴⁻¹ = 7
Hence the fourth term in the given sequence is 7.
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Emma created the poster shown below... What would be the dimensions of the poster at fraction 1 over 4 times its current size?
Answers
Answer:
6w by 9L
Step-by-step explanation:
24 x 1/4=6
36 x 1/4=9
8x+12y=−96 into slope intercept from
Answers
y = -(8/12)x - 8
A game store salesman had $3,500 in total monthly sales last month. He made $175
in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
1. 3%
2. 4%
3. 5%
4. 6%
Answers
Answer:
4.6%
Step-by-step explanation:
3500+175 = 3675
(175/3675)×100 = 4.6%
Quadrilateral ABCD is similar to Quadrilateral WXYZ.
1) What is the scale factor using ABCD as the pre-image?
2) What is mZC?
3) What is mZZ?
4) What is AD?
Scale factor=
-10
m/XYZ =$7.47*
XY = 2.5 units
10
m B 5 units
N
0
B
Ws
A
WZ 3 units
D
m/CDA 75.96*
10
Answers
Answer:
Step-by-step explanation:
ur mom
1) The scale factor is 1:2
2) The measure of angle C is equivalent to 67.17
3) The measure of angle Z is equivalent to 75.96
4) AD=6 units
Explanation:
1) We’re given the measurements of XY(2.5) and BC(5), which we know are similar. We can then divide 2.5/5 and conclude that the scale factor is 1/2.
2) We’re given the measurement of angle XYZ, which is also the measurement of angle y. Since angles in similar triangle are equivalent, if y(67.17)=c, then c must be equal to 67.17.
3) This is the same concept as number 2.
4) We know that WZ=AD. Since we’re given WX(3 units), we can use the scale factor to create an equation. 3/x=1/2. Then, we cross multiply. x=6, x=AD, AD=6
What are the equations of the
asymptotes of the functions
f(x) =1/x-5 +3? What are the
domain and range?
Answers
Step-by-step explanation:
I am in class 7 If I know I tell you I am go to ask my teacher
Answer:
Domain:(−∞,5)∪(5,∞),{x|x≠5}
Range:(−∞,3)∪(3,∞),{y|y≠3}
Step-by-step explanation:
??????
ASAP!!! How do I solve this
Complete the equation of the circle that includes the points (-5,4), (3,4), and (3,0)
Answers
The equation of circle is ( x + 1 )² + ( y - 2 )² = 20
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the points on the circle be A ( -5 , 4 ) , B ( 3 , 4 ) and C ( 3 , 0 )
Now , the equation of the circle is of the form
ax + by + c = x² + y²
Substituting the values in the equation , we get
-5a + 4b + c = 41 be equation (1)
3a + 4b + c = 25 be equation (2)
3a + c = 9 be equation (3)
Subtracting equation (2) from equation (1) , we get
-8a = 16 be equation (4)
Divide by -8 on both sides of the equation , we get
a = -2
Substitute the value of a in equation (3) , we get
3 ( -2 ) + c = 9
-6 + c = 9
c = 15
Substitute the value of a and c in equation (2) , we get
-6 + 4b + 15 = 25
4b + 9 = 25
4b = 16
b = 4
So , the value of a , b and c are -2 , 4 and 15 respectively
Now , the equation of circle will be
-2x + 4y + 15 = x² + y²
On simplifying the equation , we get
x² + y² + 2x - 4y - 15 = 0
( x² + 2x + 1 ) - 20 + ( y² - 4y + 4 ) = 0
So , the equation will be
( x + 1 )² + ( y - 2 )² = 20
Hence , the equation of circle is ( x + 1 )² + ( y - 2 )² = 20
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for each circle find the exact circumference in terms of pi 3mm 7mm
Answers
The AB intersects circle P if PA is 7mm and PB is 3mm it must exit the circle, and it has 2 contact points.
PA is longer than the radius of the circle so Point A must be outside of the circle.
What is the meaning of intersecting circles?Two or more circles intersect at one point. Two circles can be tangent to each other in two different ways.
here, we have,
We have given that,
AB lies in the same plane as circle P, which has a radius of 6 mm.
PB is less than the radius of the circle so Point B must be inside the circle.
Since the ray is going from A to B it is coming inside the circle and continuing in the other direction.
Therefore, it must exit the circle, giving us 2 contact points.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
I think its a is one of them, im not completely sure tho
Step-by-step explanation:
HURRY PLEASE!!!
You want to fill half of the green cylinder with MONEY!
How many cubic centimeters of MONEY will half of this cylinder hold?
1.1 meters = 110 cm
Don't put the comma in your answer.
Answers
The Cylinder can hold 138, 160 cm³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
Given:
Height= 1.1 m = 110 cm
Radius= 20 cm
Now, Volume of Cylinder
= πr²h
= 3.14 x 20 x 20 x 110
= 3.14 x 44000
= 138, 160 cm³
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[TRUE or FALSE] finding a parametric description of the solution set of a linear system is the same as solving the system.
Answers
The statement is false. The solution set of a linear system can only be expressed using a parametric equation if the system has at least one solution.
Equation of this sort is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are specified as continuous and independent of other variables functions of the parameter Multiple parameters may be utilized as needed.For example, the following equation can be represented as a pair of equations in parametric form rather than the equation in Cartesian form: Parameterization, It effectively differentiates and integrates curves by converting a function into parametric form.
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Meginnis corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells 5,000 units, its average costs per unit are as follows:.
Answers
As per the concept of average, the cost of producing 6,000 units is $79,200.
The average, also known as the mean, is a mathematical representation of a set of data. It is calculated by adding all the values in the set and dividing the result by the number of values in the set.
When it comes to calculating the total amount of direct manufacturing cost incurred when 6,000 units are produced, it is important to use the average cost per unit. To do this, we need to multiply each average cost per unit by the number of units produced.
The total direct manufacturing cost incurred can be calculated as follows:
Direct materials = $5.20 * 6,000 = $31,200
Direct labor = $3.75 * 6,000 = $22,500
Variable manufacturing overhead = $1.65 * 6,000 = $9,900
Fixed manufacturing overhead = $2.60 * 6,000 = $15,600
The total direct manufacturing cost incurred is $79,200.
Complete Question:
Meginnis Corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells $5,000 units, its average costs per unit are as follows:
Average Cost per Unit
Direct materials $5.20
Direct labor $3.75
Variable manufacturing overhead $1.65
Fixed manufacturing overhead $2.60
Fixed selling expense $0.50
Fixed administrative expense $0.40
Sales commissions $1.50
Variable administrative expense $0.50
If 6,000 units are produced, the total amount of direct manufacturing cost incurred is closest to:
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While shopping after her birthday, Annie bought 2 pairs of jeans and 3 shirts and spent $127. Her twin sister Hallie bought the same items consisting of 1 pair of jeans and 4 shirts and spent $116 how much does one pair of jeans cost and how much does a shirt cost
Answers
Let's use j for the cost of one pair of jeans and s for the cost of one shirt.
From the problem, we know that:
2j + 3s = 127 (Annie's purchase)
1j + 4s = 116 (Hallie's purchase)
We can use these two equations to solve for j and s. One way to do this is to use substitution. Solving one of the equations for one of the variables and then substituting that expression into the other equation, we get:
j = 116 - 4s (from the second equation)
2(116 - 4s) + 3s = 127 (substituting into the first equation)
Simplifying and solving for s, we get:
232 - 8s + 3s = 127
-5s = -105
s = 21
Now that we know the cost of one shirt is $21, we can substitute that value back into one of the equations to solve for j:
1j + 4(21) = 116
1j + 84 = 116
1j = 32
Therefore, one pair of jeans costs $32.
So, the cost of one pair of jeans is $32 and the cost of one shirt is $21.
Answer:
The shirt costs $21
Step-by-step explanation:
2x + 3y = 127 ....eq 1
Her twin sister Hallie bought 1 pair of jeans and 4 shirts for $116.
So, x + 4y = 116 ....eq 2
Multiplying eq 2 by 2, we get :
2x + 8y = 232 ....eq 3
Subtracting eq 1 by eq 3, we get :
(2x + 8y) - (2x + 3y) = 232 - 127
5y = 105
Thus, y = 21
Putting this value of y in eq 2, we get :
x + 4(21) = 116
x = 116 - 84 = 32
Therefore, the cost of a pair of jeans = x = $32
And the cost of a shirt = $21
Superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $60, plus $28 per hour. what is the slope of this situation? a. 28 b. 32 c. 60d. 88
Answers
Answer:
the answer is (a) 28.
Step-by-step explanation:
The given situation can be represented by a linear equation of the form:
Cost = mx + b
where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).
In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:
m = $28/hour
Therefore, the answer is (a) 28.
Shondra takes notes in class.
Three entries in Shondra’s notes are not in the right place. What can Shondra do to correct her notes?
Answers
Step-by-step explanation:
What notes are you speaking of?