Answer:
x>−4
Step-by-step explanation:
−8<x−4
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
x−4>−8
Add 4 to both sides.
x>−8+4
Add −8 and 4 to get −4.
x>−4
help me please with this question !!
Answer:
ribbon ata yan
Step-by-step explanation:
ssa
Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased four and three fourths pounds of beef for $3.99 per pound. How much money did she spend on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
The cost of four and three-fourths pounds of beef is $18.95.
Given,
Amount of beef purchased = 4 and 3/4th pounds.
Cost of beef per pound = $3.99
We need to find how much four and three-fourths pounds of beef cost.
Find the cost of 1 pound of beef.
1 pound = $3.99
We can write four and three-fourths as:
= 4 3/4
= 19/4
Find the cost of 19/4 pounds of beef.
1 pound = $3.99
Multiplying by 19/4 on both sides.
19/4 x 1 pound = 19/4 x $3.99
19/4 pounds =$18.95
Thus the cost of four and three-fourths pounds of beef is $18.95.
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8 m (cubic meters) = dm3 (cubic decimeters)
Answer: 8000 dm³
Step-by-step explanation:
1 m³= 1000 dm³
----------------------------------------------------
Given
8 m³= dm³
Solve
8 m³ × 1000 dm³/m³=8000 dm³
Hope this helps!! :)
Please let me know if you have any questions
Bashir is working two summer jobs, making $15 per hour lifeguarding and $13 per hour tutoring. Bashir must earn a minimum of $230 this week. Write an inequality that would represent the possible values for the number of hours lifeguarding,l, and the number of hours tutoring,t, that Bashir can work in a given week.
Answer: All in images
Step-by-step explanation:
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.PLEASE HELP I WILL MARK AS BRAINLIEST
Answer:
I think the answer is KL, KJ, JL
Step-by-step explanation:
if treated as a right triangle (angle k is 92 degrees instead of 90) then JL would be the hypotenuse which would make it the longest. KL would be the shortest side (angle L acts as a 60-degree angle). this would mean KJ would be the middle length.
A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.
Which coordinate is represented on the graph?
Answer: where is the graph
Step-by-step explanation:
i cant help if there is no graph
(PLEASE HELP!!)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
A. The measures of center shows that the mean is 41.3 and the median is 5.
B. The measure of variability shows that the range is 8 and IQR is 5.
C. Based on the given data, if you are interested in a smaller class size, Bay Side School would be a better choice for you.
How to explain the informationPart A: For Bay Side School:
Mean: We sum up the class sizes and divide by the total number of classes.
Class sizes: 8, 6, 5, 8, 6, 5, 4, 2, 0, 5, 3, 2, 0, 0, 3
Sum = 8 + 6 + 5 + 8 + 6 + 5 + 4 + 2 + 0 + 5 + 3 + 2 + 0 + 0 + 3 = 62
Mean = 62 / 15 = 4.13
Class sizes in ascending order: 0, 0, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8
Median = (5 + 5) / 2 = 5
For Seaside School:
Mean: We sum up the class sizes and divide by the total number of classes.
Class sizes: 5, 8, 1, 0, 2, 5, 6, 8, 5, 7, 7, 8, 0, 6, 4
Sum = 5 + 8 + 1 + 0 + 2 + 5 + 6 + 8 + 5 + 7 + 7 + 8 + 0 + 6 + 4 = 72
Mean = 72 / 15 = 4.8
Median: We need to arrange the class sizes in ascending order and find the middle value.
Class sizes in ascending order: 0, 0, 1, 2, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8
Median = 6
Part B: In order to calculate the measures of variability, we will find the range and interquartile range (IQR) for each school's class sizes.
For Bay Side School:
Range: The range is the difference between the largest and smallest values.
Range = 8 - 0 = 8
IQR: The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
Q1 = median of the lower half of the data = (2 + 2) / 2 = 2
Q3 = median of the upper half of the data = (6 + 8) / 2 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
For Seaside School:
Range: The range is the difference between the largest and smallest values.
Range = 8 - 0 = 8
IQR: The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
Q1 = median of the lower half of the data = (2 + 5) / 2 = 3.5
Q3 = median of the upper half of the data = (7 + 8) / 2 = 7.5
IQR = Q3 - Q1 = 7.5 - 3.5 = 4
C Based on the given data, if you are interested in a smaller class size, Bay Side School would be a better choice for you.
Considering both the measures of center and measures of variability, Bay Side School offers a smaller average class size (mean) and a smaller range of class sizes (IQR) compared to Seaside School. Therefore, if you prefer smaller class sizes, Bay Side School would be the better choice for you.
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is -1 a irrational number
Answer: No -1 is not an irrational number.
Step-by-step explanation: The number 1 can be classified as a natural number, a whole number, a perfect square, a perfect cube, an integer. This is only possible because it is a rational number, not irrational.
Please help solve ASAP! In the diagram below, what is the approximate length of the minor arc AB?
Answer:
42
Step-by-step explanation:
Answer: It would be 42 Centimeters! :D
2x = 16 - 8y
x + 4y = 25
Solve in substitution
The two plans will cost the same when Lucy has driven average speed 550miles. ($55 + $0.50 x 550)= $330
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.
(0.6*550)=$330
The difference between both the trip rate is .10$
and the difference between initial fee is 55$
so after 1 mile the difference is .10$
the 55$can be earn after
55*10=550 mile.
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How many ways can a student work 7 out of 10 questions on an exam?(A) 720(B) 10,000,000(C) 21(D) 120
Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).
The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.
The formula for combinations is given by:
C(n, k) = n! / (k!(n - k)!)
Where n is the total number of items and k is the number of items chosen.
In this case, the student is choosing 7 questions out of a total of 10, so we have:
C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)
Simplifying:
10! = 10 * 9 * 8 * 7!
3! = 3 * 2 * 1
C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)
The 7! terms cancel out:
C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)
C(10, 7) = 120
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PLZZZZZ HLPPPPPPPP MEEEEEEEEE fill in the blank a number: plane has a dimension of ______
Answer:
length and breadth so it has dimesions of 2
Answer:
Plane has a dimension of 2
Step-by-step explanation:
A plane is a flat, 2-D Surface.
4/35 x 5/16 in simplest form
Answer:
4/35x5/16=1/7x1/4=1/28 the final answer is1/28
Jack and Jane leave their home traveling in opposite directions on a straight road. Jack drives 20 mph faster than Jane. After 4 hours, they are 250 miles apart. What Jack's rate is and what Jane's rate is
Answer:
Jane's rate is 21.25 mph.
Jack's rate is 41.25mph
Explanation:
Let x represent Jane's speed.
Jack's speed will be x+20.
Their combined speed is;
\(x+x+20=2x+20\)After 4 hours, their combined distance covered is 250 miles;
\(\begin{gathered} 4(2x+20)=250 \\ 8x+80=250 \end{gathered}\)solving for x;
\(\begin{gathered} 8x=250-80 \\ 8x=170 \\ x=\frac{170}{8} \\ x=21.25\text{ mph} \end{gathered}\)Jane's rate is 21.25 mph.
Since jack's rate is 20 mph faster than Jane's rate.
Jack's rate is;
\(\begin{gathered} 21.25+20 \\ =41.25\text{mph} \end{gathered}\)Jack's rate is 41.25mph
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits. (X = form)
Answer: \(x= 187.5p\)
Step-by-step explanation:
Given : An equation relating packets to bytes of information : \(b = 1,500p\) where p represents the number of packets and b represents the number of bytes of information.
1 byte = 8 bits
Let x= Number of bits such that 1 b = 8x
Put b = 8x in given equation , we get
\(8x=1500p\)
Divide both sides by 8 , we get
\(x= 187.5p\)
Hence, the equation represent the relationship between the number of packets and the number of bits : \(x= 187.5p\)
Answer:
x=12000p
Step-by-step explanation:
It is Right
I Fink
how to do this question plz answer
9514 1404 393
Answer:
more than half are being used
Step-by-step explanation:
Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.
The 1 first-class carriage has usage of ...
(3/8)(64 seats) = 24 seats.
The 6 standard carriages have usage of ...
(7/13)(6 · 78 seats) = 252 seats.
The total number of seats used is ...
24 + 252 = 276 . . . . seats used
__
The total number of seats on the train is ...
1·64 +6·78 = 532 . . . . seats on the train
Half of the seats on the train will be ...
532/2 = 266 seats . . . . half the seats
The 276 used seats are more than half of the total number. More than half the seats are being used.
_____
Alternate solution
Another way to look at this is to compare utilization to 1/2 in each carriage class.
In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.
In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.
This number is 10 more than the 8 under-utilized seats in first class, so more than half the train seats are being used.
(a) You are looking at a car loan to finance your newly bought dream car. The car will cost you $150,000 of which you must pay 40% upfront. The car dealer quotes you an interest rate of 2% per annum for a 5 -year loan, for which monthly payments are based on the following formula:
([( Loan amount x interest rate per annum x Loan tenure (no of years) ]+ loan amount) / Loan tenure (no of months)
Calculate the interest rate you will be paying every month.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer? (ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.
(a) Calculation of the interest rate you will be paying every month:
Given:
The car will cost = $150,000
Amount to be paid upfront = 40%
Interest rate per annum = 2%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60
Interest Rate = (15000 + 150000) / 60
Interest Rate ≈ $2,583.33
Therefore, the interest rate that you will be paying every month is approximately $2,583.33.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?
Given:
Interest rate per annum = 3%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60
Interest Rate = (22500 + 150000) / 60
Interest Rate ≈ $2,916.67
The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.
(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
Let x be the interest rate that the lender must charge.
Using the formula of compound interest, we can find the interest charged by the lender as follows:
150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)
150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000
(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000
(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667
Taking the natural logarithm on both sides:
60(x/12) = ln[(1.0016667)^(60) + 0.066667]
x ≈ 2.31%
Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.
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Which statement describes the order of rotational symmetry for an isosceles triangle?
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
Answer:
B ... An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
Step-by-step explanation:
Got it correct on Edge2020
The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
What is Rotational symmetry?Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.
According to the statement
We have to find that the correct statement about the rotational symmetry for an isosceles triangle.
So, For this purpose, we know that the
From the given information:
Then from isosceles triangle,
An isosceles is a triangle that has two sides of equal length.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Thus, it also has two equal angles and one non equal angle. Thus, it does not have all congruent angles.
The order of rotational symmetry of a figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.
When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.
Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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use the properties of operations to generate an expression that is equivalent to -3(x+4)-2x+8.
An expression equaivalent to -3(x + 4) - 2x + 8 is -5x - 4.
What are the basic properties of arithmetic laws of operations?There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
An expression equaivalent to -3(x + 4) - 2x + 8 is.
= - 3x - 12 - 2x + 8.
= -5x - 4.
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A mom shared $180 between her 2 daughters in the ratio of 4 : 5 respectively. Calculate how much money is the smaller share?
the mom cut 180 in 9 parts (4+5)
the smaller share is 180 x 4/9 = $80
The average amount of time, in minutes, for students to complete a standardized test is normally distributed. A data analyst takes a sample of n=36 student times and finds a 90% confidence interval to be [108.6,143.4].
What is the population parameter?
What is the interpretation of the confidence interval?
The population parameter is the average amount of time for all students to complete the standardized test. The 90% confidence interval [108.6, 143.4] means that we are 90% assured that the true population means lies within this range.
The population parameter in this case is the average amount of time, in minutes, for all students to complete the standardized test.
The interpretation of the 90% confidence interval [108.6, 143.4] is that we are 90% confident that the true population means that it falls within this interval. It means that if we were to repeat the sampling process multiple times and construct 90% confidence intervals, approximately 90% of these intervals would capture the true population mean. In this specific case, we can be 90% assured that the average time for all students taken to complete the standardized test must be between 108.6 and 143.4 minutes.
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let a be the technology matrix a = 0.4 0.04 0.6 0.02 , where sector 1 is paper and sector 2 is wood. fill in the missing quantities.where Sector 1 is paper and Sector 2 is wood. Fill in the missing quantities.(a) units of wood are needed to produce one unit of paper.(b) units of paper are used in the production of one unit of paper.(c) The production of each unit of wood requires the use of units of paper.
The missing quantities are 0.04 units of wood, 0.4 units of paper, and 0.6 units of paper.
To fill in the missing quantities, we can use the technology matrix A and the formula A = [a11 a12; a21 a22], where a11 is the amount of sector 1 used in the production of one unit of sector 1, a12 is the amount of sector 2 used in the production of one unit of sector 1, a21 is the amount of sector 1 used in the production of one unit of sector 2, and a22 is the amount of sector 2 used in the production of one unit of sector 2.
Using this formula, we can fill in the missing quantities as follows:
(a) The amount of wood (sector 2) needed to produce one unit of paper (sector 1) is a12, which is 0.04 units of wood.
(b) The amount of paper (sector 1) used in the production of one unit of paper (sector 1) is a11, which is 0.4 units of paper.
(c) The production of each unit of wood (sector 2) requires the use of a21 units of paper (sector 1), which is 0.6 units of paper.
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f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the given functions. Function 1 Function 2 Graph shows a polynomial function plotted on a coordinate plane with vertical axis g of x. A curve enters quadrant 3 at (minus 5, minus 40), goes through (minus 4, 0), (minus 2, 32), (0, 15), (2, 0), and exits quadrant 1 at (4, 30). Represent the interval where both functions are decreasing on the number line provided.
Both functions decrease at (-1, 2)
How to determine the decreasing intervals of the function?The complete question is added as an attachment
The polynomial function f(x) is represented by the graph.
From the graph, the polynomial function decreases at (-2, 2)
The absolute function is given as;
f(x) = =5|x + 1| + 10
The vertex of the above function is
Vertex = (-1, 10)
Because a is negative (a= -5), the vertex is a maximum.
This means that the function decreases at (-1, ∞)
So, we have
(-2, 2) and (-1, ∞)
Combine both intervals
(-1, 2)
This means that both functions decrease at (-1, 2)
See attachment 2 for the number line that represents the interval where both functions are decreasing
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Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
3 Which ordered pair is the solution of
the system graphed below?
Answer:
C. (5, -3)
Step-by-step explanation:
Ordered pair just means the coordinate or the point at which both of the graphs intersect. On the x-axis, this is at point 5, and on the y-axis, this is at point -3. Since an ordered pair is in the form (x, y), the answer is therefore C.
The solution to the set of graphical equations are P ( 5 , -3 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = -x + 2
y = x - 8
On simplifying , we get
-x + 2 = x - 8
Adding x on both sides , we get
2x - 8 = 2
Adding 8 on both sides , we get
2x = 10
Divide by 2 on both sides , we get
x = 5
So , the value of x = 5 and y = -3
Hence , the solution is the point of intersection of lines on the graph which is P ( 5 , -3 )
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suppp dudess im in lunch detiontion and i need this awnser. If its not right my teacher will fail me!!!
Answer:
16/25
Step-by-step explanation:
64/100 which simplifies to 16/25 if the asked for the simplified answer
Which line is parallel to to the line given below?
x - 3y = 24:
y = -3x - 1
y = -3x - 1
y = 1/3x + 3
y = 1/3x + 3
y = 3x + 8
y = 3x + 8
y = -1/3x - 4
Answer:
Step-by-step explanation:
x - 3y = 24
-3y = 24 - x
y = -(24/3) - (1/3)x
y = -(1/3)x - 8
The slope is -(1/3). A parallel line will have the same slope.
y=-(1/3)x - 4 has the same slope. Therefore, it is parallel.
Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and $0.08 per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Answer:
she needs to buy 713 paint balls to get 10 off.
Step-by-step explanation:
Hi i hope this helps:)