Answers
For the functions in this problem, we have that:
a) The function is exponential, and the table is completed as follows.
x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.b) The function is linear, and the table is completed as follows.
x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.c) The function is exponential and given by:
[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.A function with initial value 1 and where the y-value is computed by multiplied the previous y-value by 5, as in item a, is an exponential function with parameters a = 1 and b = 5, hence the rule is:
[tex]y = 5^x[/tex]
Then:
x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
A proportional relationship is also classified as linear with a intercept of 0. For item b, since each y-value is the x-value multiplied by 5, the rule is:
y = 5x.
Hence the table is:
x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.For item c, when x changes by 1, y is always multiplied by 1/2, and due to the multiplication, the function is exponential and given by:
[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]
The -16 is because when x = 0, y = -16.
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Related Questions
Solve the equation −14 + x = −19 for x.
Answers
Answer:
x = -5
Step-by-step explanation:
add 14 to both sides:
x = -19 + 14
x = -5
Find the coordinates of the point 7/10 of the way from A to B.
Answers
(-1/5, 37/70) are the coordinates of a point 7/10 of the way between A and B.
What exactly is the section formula?In coordinate geometry, the Section formula is used to obtain the ratio of a line segment separated by a point, whether in internally or externally.It finds the triangle's centroid, incenter, and excenter.Let P be the point 7/10 of the way from A to B. This implies that it partitions P in the 7:10 ratio (AP/PB = 7/10).
Should use section formula to find the coordinates, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-4, -7)
(x₂, y₂) = B(11, 5)
m = 7 and n = 10.
Put the values to obtain the x and y coordinates of point P.
y = (7×5 + 10(-7))/(7 +10)
On solving;
y = -1/2
Solve for x coordinates;
x = (7(11) + 10(-4))/(7 +10)
on solving;
x = 37/70
Therefore, the coordinates of a point 7/10 a way from A and B is (-1/5, 37/70).
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What is the lowest common multiple of 9 and 7 ?
Answers
Answer:
Step-by-step explanation:
The answer is 63
hope this helps :)
I am a number greater than $4,000 less than $6,000 by ones digit and 10 digit are the same my 10,000
digit is a one less than three times the sum of my ones digit and 10 digit in my thousand digit is half my hundred digit and the sum of those two digit is a 9
Answers
Answer:
the number is 53611
Step-by-step explanation:
mark me brainliest hope this answer helps
The recipe calls for 1 1/2 lbs. of ground beef. how much ground beef will jenny need to make enough meat loaf for everyone?
Answers
Total amount of ground beef is 7.5 lbs
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.
Total people = 40
Number of each ingredient
= 40 / 8
= 5
b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,
So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
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Your question is incomplete, probably the complete question/missing part is:
Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
When dividing 5 by 4, is a answer a rational number explain
Answers
Dividing the number 5 by 4 gives a rational number 5/4.
What is defined as the rational numbers?The word 'rational' comes from the word 'ratio.'
As a result, rational numbers are attributable to the concept of fractions, which represent ratios. In other words, a rational number can be represented as a fraction in which both the numerator and denominator are integers.Rational numbers also include integers, whole numbers, natural numbers, or fractions with integers.If a number's decimal form is terminating or recurring, as in 5.6 or 2.141414, we know it is a rational number.Irrational numbers are those in which the decimals appear to be never-ending or non-recurring.For the given expression;
When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.
Thus, dividing 5 by 4 gives the rational number 5/4.
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Naomi is working two summer jobs, making $12 per hour babysitting and
making $20 per hour lifeguarding. In a given week, she can work no more
than 12 total hours and must earn a minimum of $160. If a represents the
number of hours babysitting and y represents the number of hours
lifeguarding, write and solve a system of inequalities graphically and
determine one possible solution.
Inequality 1: y ≥
Inequality 2: y >
Answers
The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.
A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.
While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.
Now let us form the two inequalities:
If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then
x + y ≤ 12
or, y ≤ 12 - x
Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then
12 x + 20 y ≥ 160
or , 20y ≥ 160 - 12x
or , y ≥ 8 - 3/5x
Let us solve the inequalities graphically.
From the graph we can see that
the point (2 , 8) satisfies both inequalities.
So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.
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Select from the drop-down menu to correctly identify the property shown. 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2) Choose...
Answers
The property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.
What is the Distribution Property?The distribution property of multiplication is one of the properties of real numbers which states that, given that a(c + d), then we would have:
a(c) + a(d) = ac + ad.
Given the expression, 3.8+(−4.8+(−6.2)), applying the distribution property of multiplication will give us:
(3.8+(−4.8))+(−6.2).
Therefore, the property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.
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What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 2x-y=6
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]
Please show how f(x)=(2x+3)/(x-2) is continue in the interval ]2,infinity[
Answers
Answer:
See below
Step-by-step explanation:
A function is continuous within an interval if its first derivative exists
[tex]\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}[/tex]
Let's call this first derivative g(x)
g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.
So the function has a discontinuity at x = 2
But in the interval (2, ∞ ) the function g(x) always has a real value so f(x) is continuous in that interval
A marathon is 26.2 miles. How many hours would it take a runner whose average speed is 4.25 meters/sec to complete a marathon?
Answers
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
How long will it take the runner to complete the marathon?
Speed is simply distance traveled per unit time.
Speed = distance / time
Given the data in the question;
Distance = 26.2 milesSpeed = 4.25m/sTime t = ?First, convert the unit of distance from miles to meter.
Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m
Now, plug the values into the equation and solve for time.
Speed = distance / time
4.25m/s = 42164.708m / time
Time = 42164.708m ÷ 4.25m/s
Time = 9921.1077647s
Next, convert to hours,
Time = 9921.1077647 ÷ ( 60 × 60 )
Time = 9921.1077647 ÷ 3600
Time = 2.76 hours
Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.
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C) ((0, 1), (2, 1), (0,3)}
Function?
Explain:
Answers
Answer:
No.
Step-by-step explanation:
The function would be a discrete function if the individual points in the function didn't share the same x-coordinates. Both the points (0,1) and (0,3) share the same x-coordinate, x=0, so the function doesn't pass the vertical line test.
60% of the marbles in a container are red and the rest are black. After another 9 black
marbles are added, the ratio of red and black marbles becomes 4: 3. How many black marbles
are there now?
Answers
Answer:
81
Step-by-step explanation:
Red marbles = r
Black marbles = b
Red : Black
60 : 40
r : b
40r = 60b
r = (60/40)b
Red : Black
4 : 3
r : b + 9
3r = 4(b+9)
3r = 4b + 36
3((60/40)b) = 4b + 36
(9/2)b = 4b + 36
(9/2)b - 4b = 36
(1/2)b = 36
b = 72 This is the original amount of black marbles
They added 9 after this, so
72 + 9 = 81
equation for y.
1. 2x + y = -9
2x+y=-9
Answers
If you want to solve for y, then you would get y = -2x-9
This is the result after subtracting 2x from both sides. This is so we can undo the +2x that happens to the y variable.
Answer:
Infinitely many solutions (If its solved by systems of equations)
y = -2x - 9 (if you ONLY want to solve for y)
Step-by-step explanation:
Well you can solve this is 2 ways. Substitution and Elimination
SUBSTITUTION
2x + y = -9
2x+y=-9
Step 1: Solve 2x+y =−9 for y:
2x+y=−9
2x+y+−2x=−9+−2x(Add -2x to both sides)
y=−2x−9
Step: Substitute −2x−9 for y in 2x+y=−9:
2x+y=−9
2x+−2x−9=−9
−9=−9(Simplify both sides of the equation)
−9+9=−9+9(Add 9 to both sides)
Final answer -----> 0=0
ELIMINATION
2x + y = -9
2x+y=-9
Step 1: Multiply the second equation by -1, then add the equations together.
(2x + y = -9)
-1(2x+y=-9)
Which then becomes:
2x + y = -9
-2x - y = 9
Step 2: Add these equations to eliminate x:
Final answer -----> 0 = 0
5.69 ÷ 7
Please help I'm desperate
Show your work
Answers
Answer:0.81285714285
Step-by-step explanation: bc you are deviding by a desimal
The sum of three consecutive even integers is 72 let ex represent the first integer X plus to represent the second integer and X +4 represent the third furniture which equation can be used to find the first energy
Answers
Answer:
see explanation
Step-by-step explanation:
the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is
x + x + 2 + x + 4 = 72 , that is
3x + 6 = 72 ( subtract 6 from both sides )
3x = 66 ( divide both sides by 3 )
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
the 3 consecutive even integers are 22, 24 , 26
98.3 x 104.7
use 2 methods (do on paper please!)
Answers
It should be noted that the value of 98.3 x 104.7 will be 10292.01.
How to calculate the value?It should be noted that the first method will be to multiply the values directly. This will be:
= 98.3 x 104.7
= 10292.01
The second method will be to convey them to the nearest while number and multiply. This will be
= 98.3 × 104.7
= 98 × 105
= 10290
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i dont now this so can someone help me pls
Answers
Answer:
Step-by-step explanation: i bet your ray r stands for g
Given the following rate law, how does the rate of reaction change if the concentration of x is doubled? rate = k [x]2[y]3
Answers
The rate of reaction will increase by a factor of 4. The correct option is D.
What is the rate of reaction?In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.
In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.
The rate of reaction will be calculated as below:-
Rate (R) = k[x][y]²
R' = k[x][2y]²
R'=4k[x][y]²
R'=4R
Hence, the rate of reaction will increase by a factor of 4.
The complete question is given below:-
Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2
A) The rate of reaction will increase by a factor of 2.
B) The rate of reaction will increase by a factor of 5.
C) The rate of reaction will increase by a factor of 4.
D) The rate of reaction will decrease by a factor of 2.
E) The rate of reaction will remain unchanged.
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solve tis question pls
Answers
Explanation:
The y-intercept starts at 6 and A starts at 6.
What is walmart's ebit for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?
Answers
Walmart's EBIT for the year 2018 is $17,101.
What is EBIT?Earnings before interest and taxes (EBIT) is a measure of a company's profit that includes all income and expenses (operating and non-operating) except interest and income tax expenses (for individuals).When a company does not have non-operating income or non-operating expenses, operating income and operating profit are sometimes used as synonyms for EBIT.To find Walmart's EBIT:
9,862 + 661+ 4,600 + (1,826 + 152) = $17,101Therefore, Walmart's EBIT for the year 2018 is $17,101.
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The correct question is given below:
What is Walmart's EBIT for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?
EBIT= net income (Listed as "Net IncomeAvail to Common, GAAP" in Statement) + net income attributable to noncontrolling interest ("Listed as Income Loss Incl. MI Minority Interest" on Statement) + income taxes + interest expense (Interest Expense Net + "Interest Income" from the Statement ) (A financial statement would be provided).
please help
find the length of AD in the diagram
Answers
Answer:
The length of AD is 5 units
Step-by-step explanation:
Round 13.007 to the hundredths place value.
Answers
Answer:
13.01
Step-by-step explanation:
The zero next to the 7 is the hundredths place.
13.007
Drop the 7.
Now you have 13.00
Since 7 is from 5 to 9, the last zero goes up 1 to 1.
Answer: 13.01
Answer:
13.01
Step-by-step explanation:
13.00|7
When the number is 5 or higher round up
13.01
the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle
Answers
Width is 24 & Length is 12 of a rectangle.
What is rectangle short answer?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.give,
Perimeter = 72
Width = 2*Length
Let P = Perimeter
Let W = Width
Let L = Length
Knowing
P = 2L + 2W = 72
W = 2L
We can rewrite everything in terms of Length
72 = 2L + 2(2L)
72 = 2L + 4L
72 = 6L
72/6 = L
12 = L
W = 2L
W = 2(12) = 24
Width is 24
Length is 12
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Based on the values in b77 b81 what function can automatically return the value in c77?
Answers
Based on the values in b77 b81 function can automatically return the value in c77 is Min().
How do you return a value in Excel?
Use a formula to return a value if a supplied value falls inside a certain range. Please use the Excel formula below to return a value if a given value is present in a certain range. 1. Choose a blank cell and press the Enter key after entering the formula =VLOOKUP(E2,A2:C8,3, TRUE) into the Formula Bar.Reason:
The Excel MIN function returns the smallest numeric value in a range of values. Since $721 is the minimum out of the given 5 values, we use the MIN function.
There's no such function as smallest, lowest and Bottom in excel.
The floor function rounds a given number down to the nearest specified multiple.
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ZA and ZB are vertical angles. If m/A = (4x − 8)° and m/B = (3x + 18)°,
then find the value of x.
Answers
For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26
We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.
Thus, angle A = angle B
Now we will put the value of the respective angles and solve for x, we will get,
angle A = angle B
(4x-8)° = (3x+18)°
4x – 3x = 18 + 8
x = 26
hence the value of x = 26
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Solve and represent X< -2 or X<5 in all ways
Answers
Answer:
x<−2 or x<5
Step-by-step explanation:
x<−2 or x<5
We know either x<−2 or x<5
x<−2(Possibility 1)
x<5(Possibility 2)
what is the gcf for 24 36 and 50?
Answers
Answer:
2
Step-by-step explanation:
Because 2 goes into 24, 36 and 50.
pls helpp with que 4a and 4b
Answers
Answer:
4a. [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
4b. [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
Step-by-step explanation:
The expression for problem (4a) is
[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]
Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.
LCM of [tex]4x-2,\:and\;3-6x[/tex]
But first, let's simplify the two expressions by factoring
[tex]4x-2 = 2(2x-1)[/tex] and
[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]
[tex]2(2x-1) -3(2x-1)[/tex]
Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.
This gives LCM as [tex]6(2x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]
For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]
[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]
[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since
[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]
We get
[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]
Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]
Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex] becomes
[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]
Therefore the expression result is
[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
Part (b)
Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]
So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]
Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term
==> [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]
==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]
==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
2. Omar has of a pie left. He wants to share it equally among his 7 friends. How much of the pie will each
friend
friend receive? Justify you answer.
Answers
Answer:
See explanation
Step-by-step explanation:
p=1 pie
p divided by 7 is p/7 ==> 1/7
Each friend get 1/7 of the pie.
Since Omar only has half of the pie left and needs to share it equally among his 7 friends, we'll need to divide.
So, a pie has 6 pieces and Omar has only 3 pieces left.
Then, we divide 3 by 7. This gives us a REALLY long decimal so we would have to round.
The rounded answer would be 0.43.
Finally, each friend will get forty-three hundredths of the pie that is left.
