The value of x and y in the equation will be 15.2 and -1.84 respectively.
How to calculate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
Based on the information given, the equation is given as:
6x - 3y = 66
x + 3y = -10
Subtract equation i from ii
5x = 76
Divide
x = 76 / 5
x = 15.2
The value of y will be:
= x + 3y = 10
15.52 + 3y = 10
3y = -5.52
y = -5.52 / 3
y = -1.84
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The human resources department interviewed four applicants today and will interview three applicants tomorrow for the same position.
Therefore, a total of seven people applied for the job.
What is the assumption of the argument?
1. The human resources department is interviewing everyone who applied for the job.
2.The human resources department can only interview seven o per open position.
3.The position will be filled by next week.
4.There was not a great deal of interest in the open job position,
5. The human resources department is only interviewing the most qualified candidates for the position.
The correct option 5. The human resources department is only interviewing the most qualified candidates for the position.
Explain the working of human resources department?The department of a company tasked with discovering, selecting, hiring, and developing job applicants is known as human resources (HR).
HR is also in charge of managing employee benefits.A department of human resources also manages employee terminations and compensation and benefits.It must stay informed about any laws that might have an impact on the business and its staff.Traditional HR administrative tasks like payroll and benefits have often been outsourced by many businesses.Key HR Activities:
Increasing the creativity, innovation, and adaptability required to boost competitivenessUtilizing innovative techniques to improve career development, succession planning, work process design, and inter-organizational mobilityUtilizing better staffing, training, and employee relations to manage the adoption and integration of technology.Consequently, whereas if human resources division interviewed four candidates today and thus will interview three candidates tomorrow for the identical post.
Only the most competent applicants are being interviewed for the post by the human resources division.
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A particle moves from Point B to Point A along a line connecting the two points. Find the angle, 0, traveled by the particle with respect to the horizontal.
B (0,4 m)
A (4 m, 0)
A) 0-45° above the horizontal
B) 0-45° below the horizontal
C) 0 135° above the horizontal
D) 0-135° below the horizontal
Along a line that connects points B and A, a particle goes from B to A. The particle's horizontal path as it moved across space. 30-45 degrees below horizontal
What is horizontal motion called?A projectile moving in a horizontal plane according to the force applied on it is referred to as being in a horizontal motion. The vertical and horizontal parts of a projectile are independent of one another and perpendicular over a short distance.The smallest distance between the initial and final points on the x-axis, or horizontal displacement, is what we refer to when we start traveling along the x-axis and arrive at a particular location. Another option is to refer to horizontal displacement as displacement along the x-axis. The horizontal distance is what is meant when measuring distances between two places in a plane survey. The horizontal distance between the plumb lines at the points is what determines the distance if the points are at different heights.Therefore the correct answer is option B) 0-45° below the horizontal
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FInd all second order partial derivatives: f(u,v) = ln(u^2 + v^2)
3 1/3(1+2x)=5 1/2(2x-1)
hi there! if you are solving for x the answer to 3 1/3(1+2x)=5 1/2(2x-1) is 215/182
a) Show that the equation x³ + 3x - 1 = 0 3 has a solution between x = 0 and x = = 1. b) The iterative formula below will give an approximate solution to the equation x³ + 3x - 1 = 0. 3 3 Xn+1 = (1-x²³2) Work out an approximate solution to the equation, starting with x₁ = 0. Give your answer to 2 d.p.
The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.
what is equation ?The numeral is said to be in its simplistic form when decreased into its smallest commensurate fraction. What you must do to find the most basic form. Look for related factors in the denominators and numerators. Verify a fractional integer to verify if this one qualifies as a prime number. A statement having two rotational symmetry and an equality sign in the middle is called an equilibrium in mathematics. The conceptual model of any equation contains unique degrees of all the components in descending order. The conventional version of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.
given
a) x³ + 3x - 1 = 3
= x3 + 3x - 1
Xn+1 = (1-x²³2)
= u = cos[(2×360° + 120°)/3] I sin[(2×360° + 120°)/3]
I sin 280° plus cos 280°
I = 280° - cos 280°
x = u + v
= 2 cos 280°
The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.
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What is the equivalent expression for 15a
The expression 15a is already in its simplest form. It represents 15 times the quantity 'a'.
What is an example of an equivalent expression?
Example Expressions That Are Equivalent
Because both expressions have the same value for any value of x, 3(x + 2) and 3x + 6 are identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
It cannot be simplified further as it is already in the simplest form, The coefficient 15 and the variable 'a' are already simplified, and there are no other mathematical operations to perform.
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find the sum. select the answer that is in simplest form.
4 2/3 + 3 3/4=
Using fraction strips, the result of 4 2/3 + 3 3/4 is 8 5/12
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, 4 2/3 + 3 3/4 using fraction strips.
Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.
First, we will add fraction parts
=> 2/3 + 3/4
We can write2/3 as 8/12 since they have the same values
=> 8/12 + 9/12
Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 8/12 and 9/12
=> 17/12
=>12/12 + 5/12
=> 1 + 5/12
Thus the sum = 4 + 3 +1 + 5/12
Sum = 8 +5/12
therefore, the sum of 4 2/3 + 3 3/4using fraction strips is 8 5/12.
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A homeowners association needs to charge each homeowner a supplemental assessment to help pay for unexpected repairs. The association has 2000 in its reserve fund that it will use to help pay for the repairs. How much must the association charge each of the 50 homeowners if the total cost for the repairs is $13,350?
Each homeowner was charged $231 to help pay for the repairs
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.
Let x represent the amount of money that each house owner is charged. There are 50 homeowners.
Amount of money the homeowners is charged = 50 * x = 50x
The association has $2000 in its reserve and the total cost of repairs is $13350. Hence:
50x + 2000 = 13550
50x = 11550
x = 231
The homeowners was charged $231
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Currently, the temperature of a bowl of ramen is 57°C above room temperature. The temperature of the ramen decreases based on the function f(t) = 57(0.89)t where t represents time elapsed in minutes. Where does the graph of f(t) cross the y-axis, and what does this represent in the context of the problem?
a
f(57) = 0; the time it takes for the above-room temperature to reach 0°C
b
f(0) = 57; the time it takes for the above-room temperature to reach 0°C
c
f(57) = 0; the above-room temperature of the ramen at time t = 0
d
f(0) = 57; the above-room temperature of the ramen at time t = 0
In the exponential function given, the answer is option d. f(0) = 57; the above-room temperature of the ramen at time t = 0
What is Exponential FunctionAn exponential function is a type of mathematical function that has the form f(x) = ab^x, where a and b are constants, and x is the independent variable. The variable x is usually the time, and the variable y is usually a value that changes over time.
The y-axis in the graph of f(t) represents the temperature of the ramen above room temperature. The x-axis represents the time elapsed in minutes.
The function f(t) = 57(0.89)^t represents the temperature of the ramen above room temperature as a function of time. The graph of this function will cross the y-axis at the point (0,57), which represents the temperature of the ramen at time t = 0.
Plugging t = 0 into the function f(t) = 57(0.89)^t we get f(0) = 57(0.89)^0 = 57 which represents the above-room temperature of the ramen at time t = 0.
1)
Option a f(57) = 0 is not correct because the temperature of the ramen is not zero at time t = 57, it's decreasing over time.
2)
Option b f(0) = 57 is the correct answer, it represents the above-room temperature of the ramen at time t = 0.
3)
Option c f(57) = 0 is not correct because it represents the above-room temperature of the ramen at time t = 57 which would be 0, however, it's not possible for the temperature to reach 0°C above room temperature, it will only get closer to it as time goes on.
4)
Option d f(0) = 57 is the correct answer, it represents the above-room temperature of the ramen at time t = 0.
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how would I write an equation?
and what would my x and y represent?
In algebra, an equation is a statement of mathematics that establishes the equality of two mathematical expressions.
How do you write an equation?In algebra, an equation is a statement of mathematics that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."Abscissa is a term used to describe the x value of the point (x, y).In terms of the horizontal x-axis or from the origin, it shows how far away the point is.The term "ordinate" refers to the point's y value at (x, y). It shows how far a point is from the x-axis or the origin in either the vertical or perpendicular direction.To learn more about equation refer
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Given circles W and X below. Find the
area of the shaded region. Round your
answer to the nearest tenth if necessary.
Answer:
Submit Answer
5
X
units²
+
attempt 1 out of 2
Answer:
26 000000000065554443
A recipe calls for 5 ounces of unsweetened chocolate for 14 brownies. How much of unsweetened
chocolate is needed to make 30 brownies?
150 oz
7/5 oz
75/7 oz
5/14 oz
QUESTION 1 1 POINT
Find the difference quotient
Provide your answer below:
f(a+h)-f(x)
h
f(x)=x²+x+2
Give a simplified expression involving and h, if necessary. For example, if you found that the difference quotient was
x+h, you would enter x + h.
Content attribution
for the function given below.
FEEDBACK
The difference quotient would be (f(a + h) - f(a))/h.
What is quotient?Quotient is a mathematical concept which involves dividing one number (dividend) by another (divisor) to find the answer (quotient). It is used in a variety of everyday calculations, such as calculating discounts or figuring out how much of an item is left over after a certain amount has been used. It is also used for more complex calculations, such as determining the probability of something happening or calculating the percentage of a population that has a certain trait.
The difference quotient for the equation f(x) = x² + x + 2 is (x + h)² + (x + h) + 2 - (x² + x + 2) / h. Simplifying this expression yields 2xh + h² + h / h, which reduces to 2x + h + h²/h, or 2x + h.
The difference quotient is the mathematical expression used to calculate the rate of change of a function at a given point. It is calculated by taking the difference between two points on the function and dividing it by the difference in their x-values. For example, for the function f(x) = x² + x + 2, the difference quotient would be (f(a + h) - f(a))/h.
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Martin Luther King, Jr. Day was first celebrated in 1986, three years after it was signed into law. However, it was not until 2000 that all 50 states began to officially observe the holiday. How many years has it been since MLK Day first signed into law??
PLEASE SHOW IN FULL WORK AND SHOW HOW YOU GOT THE ANSWER
I BEEN STRUGGLING FOR 30min NOW
THANKS FOR YOUR TIME :)
How many tens are in 743?
A. 7
B. 4
C. 74
D. 74.3
The correct answer on the scoring guide is C. Explain why answers B, C, and D each could be
considered correct.
4 are in the tens place, 7 are in the hundreds place, and 3 are in the ones place.
What is meant by place value?Our entire number system is built on place value. In this system, a digit's position within a number affects its value.
The value of each digit in a number is what it is. In other words, the value of a digit in a number depends on where it appears in the number.
To teach kids place value, a place value grid is a helpful tool. Children's comprehension of place value can also be developed with the aid of manipulatives like dienes blocks. Dienes blocks—cubes used to represent units/ones, tens, hundreds, and thousands—are a type of number system.
Initially, there were 743 balls. We shall first translate the number into its place value form. Therefore, 4 are in the tens place, 7 are in the hundreds place, and 3 are in the ones place.
Therefore, the correct answer is option B. 4.
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The tens in 743 is 74 and option C is the correct answer.
What is place value?In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form. These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.
For the given number 743, determine the place value for each term.
The place value for 7 is hundreds, 4 tens, and 3 ones.
Thus, a total of 74 * 10 = 740 + 3 = 743
Hence, the tens in 743 is 74 and option C is the correct answer.
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A value 4 times a smaller number is 1 less than a larger number . Their difference is 58.
Find the numbers.
Smaller:
Larger:
Since a value 4 times a smaller number is 1 less than a larger number and their difference is 58, the numbers are as follows;
Smaller number = 19.
Larger number = 77.
How to determine the unknown number?In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the smaller number. Let the variable y represent the larger number.Therefore, translating the word problem into an algebraic equation, we have the following;
4 times a smaller number is 1 less than a larger number ⇒ 4x = y - 1.....equation 1.
Their difference is 58 ⇒ y - x = 58 .....equation 2.
Substituting equation 1 into equation 2, we have the following;
4x + 1 - x = 58
3x + 1 = 58
3x = 58 - 1
3x = 57
x = 57/3
Smaller number, x = 19
For the larger number, we have;
y = 4x + 1
y = 4(19) + 1
y = 77
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What is the slope-intercept equation for the following line
Answer:
Y=-1x+4
Step-by-step explanation:
Well we know slope-int, form is as follows
Y= Mx + B
Our B is our Y-int in this case where the axis intercepts the y-axis,
So if we go to the Left 1 time we will get -1 which can be suited for our missing symbol
Y = -1x + _
To find our B in this case our Y-int, We can see at 4y the axis intercepts the Y-axis which will leave us to our Y-int of 4
So our final answer is
Y = -1x + 4
Glad to help!
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PLEASE Help me PLEASE PLEASE
If h(x)=x 2−3x+5, find h(5)
The value of the function at x = 5 is 15.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the function as -
h(x) = x² - 3x + 5
We can write for {h} = 5 as -
h(5) = (5)² - 3(5) + 5
h(5) = 25 - 15 + 5
h(5) = 25 - 10
h(5) = 15
Therefore, the value of the function at x = 5 is 15.
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If you answer ring I will report you !!!!!!!!
y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing
y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.
The equation that is represented is a non linear parabolic fuction.
What is Maxima and Minima ?The highest and smallest value of a function, either within a certain range or throughout the whole domain, are its maxima and minima, generally referred to as extrema.
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
A function with the formula f(x) = ax² + bx + c is called a parabolic function. It is a second-degree quadratic expression in x. The graph of the parabolic function resembles that of a parabola, therefore the function's name. The range value for the parabolic function is the same for two distinct domain values.
the function is
y = 2x² - 4
differentiating both side with respect to x we get ,
y' = 4x
so , for x = 0 the function has maxima or minima.
for x <0
considering x = -3
y' = 4(-3) = -12
and at x = -1
y' = 4*(-1)= - 4
y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing
Again when x = 0
y' = 0 and
when x = 2
y' = 8
y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.
The equation that is represented is a non linear parabolic fuction.
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Suppose we have data that suggest that 3% of a company's hard disc drives are defective. You have been asked to determine the probability that the first defective hard drive is the fifth unit tested.
The probability that the first defective hard drive is the fifth unit tested is 0.03.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.
What is another word for a faulty hard drive?
P(X=k)=q^ K−1P=(1−p) ^K−1 P
Evaluate at k=5k=5:
P(X=5)=(1-0.03)^{5-1}0.03\approx 0.02656
P(X=5)=(1−0.03)^5−1 ≈ 0.03
Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.
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The probability that the first defective hard drive is the fifth unit tested is 0.03.
What is the probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.
What is another word for a faulty hard drive?
[tex]P(X=k)=q^K−1P=(1−p)^K−1 P[/tex]
Evaluate at k=5k=5:
P(X=5)=[tex](1-0.03)^{5-1}0.03\approx 0.02656[/tex]
P(X=5)=(1−0.03)⁵⁻¹≈ 0.03
Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.
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A cone with a diameter of 16 centimeters has a volume of 320(pie)cubic centimeters. Find the height of the cone.
A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.
What is volume of cone?A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.
Cone volume is calculated using the method V=1/3πhr².
Given that,
diameter(d) = 16 cm
radius (r) = d/2 = 8 cm
volume = 320π cubic centimeters
πr²h/3 = 320π
or, [π × (8)² × h]/3 = 320π
or, h = (3 × 320)/(8)²
or, h = 15 cm
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A jar contains only pennies, nickels, dimes, and quarters. There are 11 pennies, 16 dimes, and 25 quarters. The rest of the coins are nickels. There are 74 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
:D
Answer: 52
Step-by-step explanation:
Add 11, 16, and 25 together to get 52.
52 of the coins are not nickels.
Which graph represents the polynomial equation y = x3 − 11x2 + 38x – 40?
The graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Given expression y = x³ − 11x² + 38x – 40 is a polynomial expression of degree 3. So the curve of function is a cubic curve as shown in the graph.
Where the vertical axis is the y-axis and the horizontal axis is the x-axis.
Thus, the graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.
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The graph of F(x), shown below, resembles the graph of G(x) = x², but it has been changed somewhat. Which of the following could be the equation of F(x)?
The equation of f(x) is derived from the transformation depicted in the graph, the equation is
D. 2(x - 2)² + 2.What is transformation?Transformations are a general term for four different methods of changing the location and/or shape of a point, line, or geometric figure.
Reflection, rotation, translation, and dilation are among the methods used.
The altered object's final shape and location are referred to as the Image, whereas the original shape of the object is known as the Pre-Image.
The transformation is as follows:
(x - 2)²: translation 2 units right
(x - 2)² + 2: translation up 2 units
2(x - 2)² + 2: 2 units of vertical stretch
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1/5 - 2y/15 =11 what numbers can be multiplied to clear the the fractions
To clear the fractions, multiply 1/5 by 3 to make 3/15.
Then, combine the two fractions since they have the same denominator to make 3-2y/15.
To rid of this final fraction, multiply both sides of the equation by 15 to make 3-2y=165
(165 is 11•15)
The sum of three consecutive integers is -51. Find the value of the middle of the
three.
Let's call the middle of the three consecutive integers x. Since the integers are consecutive, we know that the other two integers are x-1 and x+1.
We also know that the sum of the three integers is -51. So, we can set up the equation:
x + (x-1) + (x+1) = -51
Simplifying this equation we have:
3x = -51
Therefore:
x = -51/3
The middle of the three consecutive integers is -17
I hope this helps :)
A ship sails from A to B on a bearing of 252°T. On what bearing will it have to sail to return from
B to A?
When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.
what is order of rotation ?The maximum number of rotations that a geometry may accommodate is the order of rotational symmetry. The degree of rotational symmetry is denoted as 360°A°, where A° is the lowest angle that may be used to rotate a figure from its rotated shape back to its original shape. (170 degrees) How many times a perfect circle may be rotated while still preserving its appearance is a measure of a shape's rotational symmetry. The appearance of a full 360° revolution will be the same only when a triangle is placed back in its initial starting position.
given
Use the fact that angles in a full turn add up to 360° to determine the bearing of A to B,
then subtract the bearing of B to A from 180° to determine the missing interior angle.
180° + 252°
= 432°
When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.
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change 6 1/3 to a percent
After a nice dinner, Bart decides to leave a 20% tip. The total bill comes to $35.60. About how much should he leave for the tip?
20% tip.. and the total bill is $35.60. So you would find 20% of 35.60.
(Side note: "of" in these scenarios is always "x" or multiplication)
20% x 35.6
or 0.20 x 35.60
0.2 x 35.6 (make sure to move two decimal places after this)
356
x 2
------
712 The answer is 712--but you have to move two decimal places to the left. So that would be 7.12.
The answer is 7.12. :) he should leave $7.12 for the tip.
Just so you are able to do this in the future, here is an example problem.
___ leaves a tip of ___% off of 10 dollars.
Always multiply the ___% by the amount the person is paying (10 dollars)
If the tip is 10%, then the decimal would be 0.10 (or 0.1, same thing). If the tip is 9%, then the decimal would be 0.09. Let's say the tip is 10%.
0.10 x 10 = $1.00
They would leave a tip of 1 dollar.
Hope that helps!
xx