Answers
The expressions that are equivalent to 6x²y + 2xy⁵; are 2(3x²y + xy⁵), 2xy(3x + y⁴), xy(6x + 2y⁴) and 4xy(3/2x + 1/2y⁴). So, the correct options are a, b, e and g.
Give a brief account on algebraic equations.Algebra is known to be a branch of mathematics in which problems are represented as mathematical expressions using letters or variables (x, y, z, etc.) to represent unknown values that may change. The purpose of algebra is to understand what the unknown values are in order to find solutions to problems. The degree of an algebraic equation is the largest power that exists for the variables in the equation. Algebraic equations can be classified by degree as follows:
Linear equationsQuadratic equationsCubic equationsEquation A: 2(3x²y + xy⁵) = 6x²y + 2xy⁵
Equation B: 2xy(3x + y⁴) = 6x²y + 2xy⁵
Equation C: 2x²y(6 + 5y) = 12x²y + 10x²y²
Equation D: 6x²y.2xy⁵
Equation E: xy(6x + 2y⁴) = 6x²y + 2xy⁵
Equation F: 2y(3x + xy⁴)⁰ = 2y
Equation G: 4xy(3/2x + 1/2y⁴) = 6xy + 2xy⁵
Hence, Equation A, B, E and G are the equations found equivalent to the given equation, 6x²y + 2xy⁵.
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Related Questions
PLEASE HELP ASAP
The table shows values for functions f(x) and g(x).
x f(x) g(x)
1 7 7
3 10 3
5 0 5
7 5 0
9 5 5
11 7 11
Which answers are solutions to the equation f(x)=g(x)?
Select each correct answer.
Responses
1
3
5
9
10
Answers
Answer:
955 11 7 11
3101 thats my answer
Step-by-step explanation:
10 and 3 thank you
The function f(x)=0.75x+4.59 represents the cost of shipping packages based on a flat rate and the weight of each package, x , in pounds, where x>0 . What does 4.59 represent in the function f(x) ?
Answers
The term 4.59 is the y-intercept of the linear equation and represents the flat rate (or flat cost).
What does 4.59 represent in the function f(x) ?We know that the linear function:
f(x)=0.75x+4.59
models the cost of shipping x packages.
Remember that the general line is:
y = ax + b
Where a is the slope and b the y-intercept.
if x ≈ 0, then you ship no packages, and in that case the value of the function becomes equal to the second term:
f(x ≈ 0) = 4.59
So the term 4.59 represents the flat rate (or flat cost).
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11. If using the method of completing the square to solve
the quadratic equation x² + 13x - 32 = 0, which
number would have to be added to "complete the square"?
Answers
The number that needs to be added to complete the square is 169/4
The number to be added to "complete the square"?To complete the square for the quadratic equation x² + 13x - 32 = 0, we need to add (13/2)² = 169/4 to both sides.
This is because the coefficient of x in the quadratic term is 13, so half of that is 6.5, and the square of that is 42.25, which simplifies to 169/4.
The equation will then become:
x² + 13x - 32 + 169/4 = 0 + 169/4
So the number that needs to be added to complete the square is 169/4, or 42.25.
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50 Points! Multiple choice algebra question. Use the value of the discriminant to determine the number and type of roots for the equation x^2-3x+7=0. Photo attached. Thank you!
Answers
The correct option A: 2 complex roots will be obtained from the given quadratic equation.
Explain about the discriminant:The quadratic formula's section under square root is the discriminant.
The number of solutions to the given quadratic equation depends on the discriminant, which can be positive, zero, or negative.
A quadratic equation with a positive discriminant has two unique real number solutions.A repeating real number solution to the quadratic equation is indicated by a discriminant of zero.Both of the answers are not real numbers, according to a negative discriminant.Given quadratic equation:
x² - 3x + 7 = 0 ..eq 1
standard form of quadratic equation:
ax² + bx + c = 0 ..eq 2
On comparing eq 1 and eq 2
a = 1, b = -3 and c = 7
Check the value of discriminant:
D = b² - 4ac
D = (-3)² - 4*1*7
D = 9 - 28
D = - 19
D < 0 (No real roots)
As, rational as well as irrational both are real number, so only option that satisfy the obtained condition is:
A: 2 complex roots.
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This system of inequalities models the scenario: 4x + 2y ≤ 16 x + y ≥ 4 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points) Source StylesFormatFontSize
Answers
In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).
Part B: Yes, the point (2, 3) included in the solution area for the system. The solution of the inequalities is (4, 0).
Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.
What is the system of inequalities?Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).
Part B:
To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.
Part C:
Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.
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See full question below
Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.
This system of inequalities models the scenario:
4x + 2y ≤ 16
x + y ≥ 4
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.)
F(x, y, z) = [tex]xyz^3[/tex] i + [tex]x^2z^3[/tex] j + [tex]3x^2yz^2[/tex] k
Answers
Answer:its is conservative
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 8a^2
Answers
Answer:
(g) D, (h) A--------------------
Part (g)'At most' means less than or equal, therefore the quotient of p and q is:
p/q ≤ 6The matching choice is D.
Part (h)'At least' means more than or equal, therefore the reciprocal of w is:
1/w ≥ 9The matching choice is A.
Answer:
g) The correct option is: p/q ≤ 6
The phrase "the quotient of p and q" means p divided by q, which is expressed as p/q. The statement "the quotient of p and q is at most 6" means that the value of p/q cannot exceed 6, but it can be less than or equal to 6. Therefore, we use the less than or equal to a symbol (≤) to represent this statement.
here is an explanation of each option:
p/q = 6: This statement indicates that the quotient of p and q is exactly 6. In other words, p/q can only be equal to 6 and not less than or greater than 6.p/q ≥ 6: This statement indicates that the quotient of p and q can be equal to 6 or greater than 6. In other words, p/q can be any value that is greater than or equal to 6.p/q > 6: This statement indicates that the quotient of p and q can be greater than 6, but not equal to 6. In other words, p/q can be any value that is greater than 6.p/q ≤ 6: This statement indicates that the quotient of p and q can be equal to 6 or less than 6. In other words, p/q can be any value that is less than or equal to 6.p/q < 6: This statement indicates that the quotient of p and q can be less than 6, but not equal to 6. In other words, p/q can be any value that is less than 6.Here's how to express each statement as an inequality in terms of 8a^2:
p/q ≤ 6:
Multiplying both sides by q, we get:p ≤ 6q
Multiplying both sides by 8a^2, we get:8a^2p ≤ 48a^2q
Therefore, the inequality for p/q ≤ 6 in terms of 8a^2 is:8a^2p ≤ 48a^2q
h) The correct option is: 1/w ≤ 9
The reciprocal of a number w is 1/w. The phrase "the reciprocal of w is at least 9" means that the value of 1/w cannot be less than 9, but it can be greater than or equal to 9. Therefore, we use the less than or equal to symbol (≤) to represent this statement.
Here's an explanation of each option:
1/w ≥ 9: This statement indicates that the reciprocal of w is greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w < 9: This statement indicates that the reciprocal of w is less than 9. In other words, 1/w can be any value that is less than 9.1/w ≤ 9: This statement indicates that the reciprocal of w cannot be less than 9, but it can be greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w > 9: This statement indicates that the reciprocal of w is greater than 9. In other words, 1/w can be any value that is greater than 9.1/w = 9: This statement indicates that the reciprocal of w is exactly 9. In other words, 1/w can only be equal to 9 and not less than or greater than 9.Here's how to express each statement as an inequality in terms of 8a^2:
1/w ≤ 9:
Multiplying both sides by w, we get:1 ≤ 9w
Subtracting 1 from both sides, we get:0 ≤ 9w - 1
Multiplying both sides by 8a^2, we get:0 ≤ 72a^2w - 8a^2
Therefore, the inequality for 1/w ≤ 9 in terms of 8a^2 is:0 ≤ 72a^2w - 8a^2
Note that the inequality for 1/w ≤ 9 involves a quadratic term with respect to "w," whereas the inequality for p/q ≤ 6 only involves linear terms with respect to "p" and "q."
Valerie bought a clownfish for $47 at the pet store. She planned to spend her remaining money on smaller fish that cost $9 each. If Valerie began with $120, which inequality could be used to find f, the number of smaller fish she can buy?
A 9 +47f≤ 120
B 47 +9f≤ 120
C 56+9f≤ 120
D 38 + 47f≤ 120
Answers
Answer:
Step-by-step explanation:
b
Answer:
47 + 9f [tex]\leq[/tex] 120
Step-by-step explanation:
B is the correct answer.
The sales tax for an item was 11.70 and it cost 390 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answers
The sales tax rate for the item is 3%.
How to find the sales tax rate?To find the sales tax rate, we can divide the sales tax amount by the original cost of the item, and then multiply by 100 to express the result as a percentage.
Given:
Sales tax amount = $11.70
Original cost of item = $390
Sales tax rate = (Sales tax amount / Original cost of item) x 100
Plugging in the given values:
Sales tax rate = (11.70 / 390) x 100
Calculating:
Sales tax rate = 0.03 x 100
Final result:
Sales tax rate = 3%
So, the sales tax rate for the item is 3%.
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One cubic foot of a crushed mineral weighs 150 pounds. How many pounds of the crushed mineral can a container with the dimensions shown hold?
Answers
Therefore , the solution of the given problem of volume comes out to be 4500 pounds of the crushed mineral can fit inside the container.
What exactly does volume mean?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.
Here,
We must first determine the container's volume, then multiply it by the crushed mineral's weight per cubic foot.
The container's measurements in the image are as follows:
=> 5 feet in length
=> Size: 3 feet wide
=> Height is two feet.
The following formula determines the container's volume:
=> Volume = length* width*height
Inserting the values:
=> 5 feet * 3 feet * 2 feet = volume.
=> 30 cubic feet is the volume.
=> Volume of container x Weight per cubic foot = Weight of crushed mineral
=> Weight of crushed mineral = 30 cubic feet x 150 pounds/cubic foot
=> The crushed mineral weighs 4500 pounds.
Therefore, 4500 pounds of the crushed mineral can fit inside the container.
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A cafe sells small, medium and large mugs of coffee. A small mug has a capacity of 100 ml. A medium mug has double the capacity of a small mug. A large mug has double the capacity of a medium mug. Work out the capacity, in litres, of a large mug.
Answers
Answer:
Answer:
12 ounces
Step-by-step explanation:
Let x = Small Mug
& y = Large Mug
Then we write the given statement in an equation form as below:
2x + 1y = 20 ounces of coffee ---------------> EQUATION 1
3y - 1x = 32 ounces of coffee ----------------> EQUATION 2
Let us solve the above equation for y;
Multiply Equation 2 by '2', we get;
-2x + 6y = 64 ----------------------> Equation 3
Add Equation 1 and Equation 3, we get;
(2x + y) + (-2x + 6y) = 64 + 20
7y = 84
Divide the above equation by 7, we get;
y = 84 / 7
or, y = 12
Hence, One Large mug can hold 12 ounces of coffee.
Step-by-step explanation:
A recipe for cookies makes 3 dozen cookies and uses
3
2 1/4 cups of flour and 3/4
cups of sugar. Sam needs to
make 5 dozen cookies. How many cups of flour and
sugar will Sam need for the recipe?
Answers
The number of cups of flour and sugar that Sam needs for the recipe will be 3.75 cups and 1.25 cups, respectively.
Given that:
A recipe for cookies makes 3 dozen cookies and uses 2 1/4 cups of flour and 3/4 cups of sugar.
The utilization of two or more additional numbers that compares is known as the ratio.
The expression that represents the 'n' dozen of cookies is given as,
⇒ n (2¹/₄) / 3 + n(3/4) / 3
⇒ n (2.25) / 3 + n(0.75) / 3
Put n = 5, then we have
⇒ 5 (2.25) / 3 + 5(0.75) / 3
⇒ 11.25/3 + 3.75/3
⇒ 3.75 + 1.25
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Is -4/3 perpendicular to 3/4
Answers
Answer:
no its not
Step-by-step explanation:
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is zero.
The diagram represents two statements:p and q Which represents regions a,b,c
Answers
The statement for regions A, B, C are "Elements in P but not in Q." "Elements in both P and Q." and "Elements in Q but not in P." respectively
Describing the statements of the regions of A, B and CThe descriptions of the regions A, B and C from the Venn Diagram that complete the question are as follows:
Region A:
This region represents the set of elements that belong only to P, but not to Q i.e. A is the set of elements that are in P but not in Q.
Region B:
This region represents the set of elements that belong to both circle P and circle Q. i.e. B is the intersection of sets P and Q.
Region C:
This region represents the set of elements that belong only to circle Q, but not to circle P. i.e. C is the set of elements that are in Q but not in P.
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If f(x)=x^2+10sinx, show that there is a number c such that f(c)=1000.
Answers
Answer:
Step-by-step explanation:
from a group of seven candidates, a committee of six people is selected. in how many different ways can the committee be selected?
Answers
According to the informations, there are 7 different ways a committee of six people can be selected from a group of seven candidates.
How can we find this number?In this case, we must use the combination formula, which is expressed by:
nCr = n! / r!(n-r)!Where n is the total number of items in the set, r is the number of items being selected, and ! denotes the factorial function, which means multiplying a number by all the positive integers less than it.
Therefore, from a group of 7 candidates, a committee of 6 people can be selected in 7 different ways using the combination formula. The formula for the combination of n objects taken r at a time is C(n,r) = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects to be chosen. In this case, we have n = 7 and r = 6, so the formula gives us C(7,6) = 7!/6!(7-6)! = 7 ways.
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A group of employees were asked whether they drive or walk to work.
Answers
The probability of being a male and derive from a group of employees were asked whether they drive or walk to work is equal to 0.27.
From the table representing the probabilities of a group of employees.
Employees divided into two groups,
One is male .
Second is female.
While going for work there are two ways .
Derive to walk.
Walk to work.
Different probabilities are as follow,
Male and derive 0.27
Male and walk = 0.27
Female and derive = 0.23
Female and walk = 0.23
The required probability of being a male and derive
= 0.27.
Therefore, the probability of derive and male is equal to 0.27.
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Find the surface area
Round to the nearest tenth
Answers
314.2 in. ^2
Explanation:
the formula is A = 4 π r^2
10 in. is the diameter and radius is half the diameter so the radius is 5 in.
A = (4)(π)(5^2)
A = (4)(π)(25)
A ≈ 314.2 in.^2
Calculate the area of the shaded region
4 ft 2 ft
8 ft
3 1/2 ft
5 ft.
Answers
Answer:
please let me know what is the name of the shape. Thank you
The diameter of a circle is 32 miles. What is the circle's circumference? d=32 mi Use 3.14 for .
Answers
200.96 is the circle's circumference .
What is a circle, exactly?
A circle is a closed, two-dimensional object in which the distances between every point in its plane and its centre are all equal. The creation of the reflection symmetry line is influenced by each line that crosses the circle.
Additionally, any angle surrounding the centre exhibits rotational symmetry. A figure with a circular form that lacks both sides and edges is referred to as a circle. A circle can be referred to in geometry as a closed form, a two-dimensional shape, or a curved shape.
C = 2πr
C = 2 *π * 32
C = 2 x 3.14 x 32
C = 200.96
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Please help studying for next grade.
98+107÷(82-12)x122
Answers
Answer:
284.06
Step-by-step explanation:
To solve this expression using the order of operations (PEMDAS), we must first perform the operations inside the parentheses: 82-12 equals 70. Next, we must perform the multiplication and division from left to right: 107 divided by 70 equals approximately 1.53, and 1.53 times 122 equals approximately 186.06. Finally, we add 98 to get our answer. Therefore, the expression 98+107÷(82-12)x122 simplifies to approximately 284.06.
Answer:
284.06
Step-by-step explanation:
got it right on edge
Try These questions out and I’ll give you brainliest
Answers
Answer:
1) -8m
2) -x
3) -4y
4)
[tex] - 17x {y}^{3} [/tex]
5) p
6) 0
7) 15m + 10
8) r - 7
9) 5x - 22
10)
[tex]3 {m}^{2} [/tex]
11)
[tex]7 {x}^{2} - x[/tex]
12) 22pq - 8p
13)
[tex] - 13 {r}^{2} - 6r[/tex]
14) -19
15) 0
16) 3.07y
17)
[tex] - 4 {m}^{2} - 35m[/tex]
18)
[tex]x {y}^{2} - 3 {x}^{2} y[/tex]
19) .3mn + 4.7m
20) 3r + 2j + m + 3
21)
[tex] - 4 {x}^{2} - 16x + 11[/tex]
22)
[tex]3 {y}^{4} - {y}^{2} + 11[/tex]
A basketball with a 12 cm radius is placed into a 24 cm x 24 cm x 24 cm box. The
amount of space inside the box but outside the basketball is
cm³
(Use 3.14 for 7).
Answers
The amount of space or volume inside the box but outside the basketball is 6589.44 cm³.
We have to find the volume of the box and volume of the basketball to determine the space outside it.
Box is in rectangular shape.
Volume of the box = 24 × 24 × 24
= 13824 cm³
Basketball is spherical in shape.
Volume of the sphere = 4/3 π r³
= 4/3 π (12)³
= 2304π
= 7234.56 cm³
Amount of space inside the box but outside the basketball is,
13824 cm³ - 7234.56 cm³ = 6589.44 cm³
Hence the required space is 6589.44 cm³.
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Which phrase is represented by the expression 5x(36+9)
A. The product of 36 and 5, increased by 9
B. The product of 36 and 9, multiplied by 5
C. The sum of 36 and 9, multiplied by 5
D. The sum of 36 and 5, increased by 9
Answers
I believe the “x” here is extra, and you might be trying to use it as a multiplication sign instead. Because “x” would be “a number” in these type of problems. So let’s rewrite this:
5(36+9)
First, whoever we see parentheses, we do them first. The answer to addition is sum. So the answer to 36+9 would be the sum of 36 and 9. After you find the sum, which is 45, you would multiply it by the number outside the parentheses, which is 5. So the answer is the sum of 36 and 9, multiplied by 5.
Hope this helped!
Use the given information to find a formula for the exponential function N = N(t). (Round the values to three decimal places.)
The initial value of N is 14. If t is increased by 6, the effect is to multiply N by 59.
Answers
the formula for the exponential function N(t) is N(t) = 14 * 59in power (t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
How to solve the question?
Let N(t) be the exponential function we are trying to find, where N is the population at time t.
From the given information, we know that when t=0, N(0) = 14, which is the initial value of N.
We also know that when t is increased by 6, N is multiplied by 59. In other words,
N(t+6) = 59N(t)
We can use this relationship to express N(t+6) in terms of N(t) by substituting N(t+6) with 59N(t) in the above equation, giving us:
59N(t) = N(t+6)
Now, we can use this equation to solve for N(t) in terms of N(0) by repeatedly substituting N(t) with 59N(t-6), 59²N(t-12), 59³N(t-18), and so on.
N(t) = 59 in power (t/6) * N(0)
Using the initial value of N(0) = 14, we get:
N(t) = 14 * 59 in power (t/6)
Therefore, the formula for the exponential function N(t) is N(t) = 14 * 59^(t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
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find the surface area of the square pyramid below
Answers
The surface area of the square base pyramid is 132 cm².
How to find the surface area of the square pyramid?The surface area of the square pyramid can be found as follows:
A square pyramid is a pyramid that has its base as square.
Therefore,
surface area of the square pyramid = base area + 2al
where
a = sides of the basel = height of the pyramidTherefore,
surface area of the square pyramid = 6² + 2 × 6 × 8
surface area of the square pyramid = 36 + 96
surface area of the square pyramid = 132 cm²
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Compare the values for the following, which is greater: sin 100° or sin 250°? Use the sin wave to approximate
each value and label it on the graph.
Answers
The value "Sin 100°" is greater than "sin 250°", that is, sin 100° > sin 250°
Which is greater, sin 100° or sin 250°?To compare the values of sin 100° and sin 250°, we need to understand the behavior of the sine function. The sine function oscillates between -1 and 1 over a period of 360°, with its maximum value of 1 at 90° and its minimum value of -1 at 270°.
Using the sine wave, we can see that sin 100° is located in the second quadrant, where the sine values are positive, while sin 250° is located in the third quadrant, where the sine values are negative. Therefore, sin 100° is greater than sin 250°, because sin 100° has a positive value closer to the maximum value of 1, while sin 250° has a negative value closer to the minimum value of -1.
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Susan has a part-time job. The table below shows her earnings based on the number of hours worked.
Hours Worked, x
Earnings, E
Which equation best models this set of data?
Answers
An equation that best models this set of data is: D. y = 9.74x - 0.06
How to determine the line of best?In this scenario, the hours worked would be plotted on the x-axis (x-coordinate) of the scatter plot while the earnings would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the hours worked and earnings, an equation for the line of best fit is given by:
y = 9.74x - 0.06
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create a system of equations that has a solution of (5,-3)
Answers
The system of equations that has a solution of (5,-3) is y + 3 = m (x-5).
or
We have the points (5, -3).
Now, The point-slope form of a linear equation is:
(y - y₁) = m (x - x₁)
(y - (-3)) = m (x- 5)
y + 3 = m (x-5)
Now, let the slope m = -2 then
y + 3 = -2(x-5)
y + 3 = -2x + 10
y + 2x + 3 -10 = 0
y + 2x - 7 = 0
Or we can also form the equation as
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The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to rent a car from Barely Running is $20 a day. How many days would you have to rent the car for the cost of both companies to be the same?
Answers
In the equation , cost of both companies will be same to rent a car is 6 days.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the deposit for the rent car in Wreck = $30
Cost for renting in Wreck = $15 per day
Cost for renting in Barely = $20 per day.
Here let us take the number of days as x.
Then, Cost for renting in Wreck = 15x+30
Cost for renting in Barely = 20x
To rent a car , if cost of both companies is same then the equation is,
=> 15x+30 = 20x
=> 20x-15x = 30
=> 5x = 30
=> x = 30/5 = 6
Hence We have to rent a car for 6 days the cost of both companies to be the same.
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