Kristy asks Lonnie to think of a number, and 3 to it, multiply the sum by 2, and then subtract 6. Let n stand for Lonnie's starting numbers. Which expression represents Lonnie's final number?

Answers

Answer 1

Answer:

2(n + 3) - 6 is the expression that represents the final number.

Step-by-step explanation:

-Given the number Lonnie thinks of at the beginning is 'n'-


1) adding 3 to n

sum = n + 3


2) multiply the sum by 2

sum = 2(n + 3)


3) subtract 6

sum =  2(n + 3) - 6.


Answer 2

Answer: 2(n + 3) - 6

Step-by-step explanation:


Related Questions

Help pleasee? Same ones

Answers

Since we are given that ABC is congruent to JKL, then AB has to be equal to JK

therefore --- [tex]14x+7=5x+34[/tex]

Subtract 7 from both sides

[tex]14x=5x+27[/tex]

Subtract 5x from each side

[tex]9x=27[/tex]

Divide 9 on each side

[tex]x=3[/tex]

Since, We are asked to find the length of AB and JK

plug in 3 for x

[tex]5(3)+34=15+34=49[/tex]

Hannah buys 2/3 pound of roast beef.She uses 1/4 pound to make a sandwich for lunch. How many roast beef does she have left

Answers

Answer:

2/3 - 1/4

=> taking L.C.M of the denominators we get,

=> 8/12-3/12

=> 5/12 is left with her,, ;)

HOPE THIS HELPS YOU...;)



800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6

Answers

823054658786 is the answer to your question

CE and BD are angle bisectors of △ABC which intersect at point F. If ∠BFC=110°, find the measure of ∠A.

Answers

Answer:

∠A=40°

Step-by-step explanation:

Equation 1: ∠A+∠B+∠C=180°

Equation 2: ∠B/2+∠C/2+110°=180°

2(Equation 2): ∠B+∠C+220°=360°

                                 ∠B+∠C=140°

Equation 1 - 2(Equation 2): ∠A=40°

Therefore, ∠A=40°

The perimeter of a rectangle is 62 feet.If the width of the rectangle is 19 feet.What is the length of the rectangle

Answers

l - length

19 ft - width

62 ft - perimeter

l + l + 19 + 19 = 2l + 38 - perimeter

The equation:

2l + 38 = 62    subtract 38 from both sides

2l = 24     divide both sides by 2

l = 12 ft

Answer: The length = 12 ft.

Which equation represents a geometric sequence?
A. y=2x+3
B. y=x^2+5x-6
C. y=x^3-1
D. y=4^x+3

Answers

I think the answer is A, but I could be wrong. I think the answer is A, because it is the only equation that is linear. In mathematics a geometric sequence  is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number, meaning when you graph it the line should be linear. Of all of these A is the only that is Linear the others are not. The slope of line A is 2 and the Y-intercept is 3.

Tim is making a fence in the shape of a triangle for his livestock. He wants one side of the triangle to be two times as along as another side and the thrid side to be 21 meters long. Tim wants the perimeter of the triangle to be more than 42 meters and less than 84meters

Answers

Answer:


Step-by-step explanation:

42 < 21+3x < 84

21 < 3x < 63

7 < x < 21

The measure of sides of a triangle lies between 7<x<21.

Given that, Tim is making a fence in the shape of a triangle for his livestock.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Let the measure of one side of a triangle be x meters.

One side of the triangle to be two times as along as another side and the third side to be 21 meters long.

Second side =2x meters and the third side =21 meters

Tim wants the perimeter of the triangle to be more than 42 meters and less than 84meters.

Now, 42<x+2x+21<84

21<3x<63

7<x<21

Therefore, the measure of sides of a triangle lies between 7<x<21.

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Adam goes to the grocery store to buy cereal. the shelves contain 9 boxes of Brand A and 6 boxes of Brand B. He selects one brand at random and then put it back. Another person does the same thing. What is the probability they both selected Brand A?

Answers

We can first find the probability of the first person picking Brand A, which would be:

9/6+9

=9/15

=3/5

We can then find the probability of the second person choosing brand A:

(9-1)/(6+9-1)

=8/14

To find the probability they both select Brand A, we could multiply them together:

3/5 x 8/14

=12/35

Therefore the answer would be 12/35.

Hope it helps!


What is the remainder R when the polynomial p(x) is divided by (x - 2)? Is (x - 2) a factor of p(x)? P(x) = -4x4 + 6x3 + 8x2 - 6x - 4 A) R = 0, no B) R = 0, yes C) R = -72, no D) R = -72, yes

Answers

Answer:

B

(x-2) is a factor since remainder is 0.

Step-by-step explanation:

We divide (x-2) into the polynomial [tex]-4x^4+6x^3+8x^2-6x-4[/tex] through long division or synthetic. We choose long division and look for what will multiply with (x-2) to make the polynomial [tex]-4x^4+6x^3+8x^2-6x-4[/tex] .

[tex](x-2)(-4x^3)=-4x^4+8x^3[/tex]

We subtract this from the original [tex]-4x^4-(-4x^4)+6x^3-(8x^3)+8x^2-6x-4[/tex].

This leaves [tex]-2x^3+8x^2-6x-4[/tex]. We repeat the step above.

[tex](x-2)(-2x^2)=-2x^3+4x^2[/tex].

We subtract this from [tex]-2x^3-(-2x^3)+8x^2-(4x^2)-6x-4=4x^2-6x-4[/tex]. We repeat the step above.

[tex](x-2)(4x)=4x^2-8x[/tex].

We subtract this from [tex]4x^2-(4x^2)-6x-(-8x)-4=2x-4[/tex]. We repeat the step above.

[tex](x-2)(2)=2x-4[/tex].

We subtract this from [tex]2x-(2x)-4-(4)=0[/tex]. There is no remainder. This means (x-2) is a factor.


Final answer:

The remainder R when the polynomial p(x) = -4x4 + 6x3 + 8x2 - 6x - 4 is divided by (x - 2) is 0, indicating that (x - 2) is indeed a factor of p(x).

Explanation:

To find the remainder R when the polynomial p(x) = -4x4 + 6x3 + 8x2 - 6x - 4 is divided by (x - 2), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of the division of a polynomial p(x) by a linear term (x - a) is equal to p(a). Therefore, to find R, simply calculate p(2).

p(2) = -4(2)4 + 6(2)3 + 8(2)2 - 6(2) - 4

p(2) = -4(16) + 6(8) + 8(4) - 12 - 4

p(2) = -64 + 48 + 32 - 12 - 4

p(2) = 0

Since the remainder is 0, this means that (x - 2) is a factor of p(x).

The correct answer is therefore R = 0, and yes, (x - 2) is a factor of p(x).

which pair of angles is a pair of corresponding angles?

Answers

Answer:

2 and 6

Step-by-step explanation:

Corresponding angles are the angles that occupy the same relative position at each intersection.  

1 and 5

2 and 6

4 and 8

3 and 7

Show your work for full credit Use the SUBSITUTION method or ELIMINATION method to solve this system of equations:

Answers

Answer

x = 3, y = -1

Step-by-step explanation:

i used substitution because i find that easier most times so here goes:

x + 6y = -3

    - 6y

x = -6y -3

now we have an "x=" to plug into the "y=" we will get ina second

2x + 3y = 3

-2x

3y = -2x + 3

divide the whole thing by 3 to get y by itself. you get:

y = -2/3x + 1

now plug in what you got for x, which was (-6y-3), into the x. so:

y = -2/3(-6y - 3) + 1

now you multiply the -2/3 by the -6y and the -3. when you distribute that you get

y = 4y + 2 + 1

then combine like terms by adding 2 + 1 to get 3 and subtracting the y on the right from the 4y on the left to get

= 3y + 3

since you cant have an empty side of the equal sign, move the 3y over to the left side by subtracting it. you get

-3y = 3    now divide everything by -3 to get y = -1

now you have your y variable so now just plug that into the original equation to get x + 3

HOPE THIS HELPS!!!

if you have more questions or didnt understand something, please let me know!! ill explain it!!

4. A bracelet that normally sells for $30.00 is on sale for $25.50. What is the percent discount?

Answers

Answer:

It is 15% off

Step-by-step explanation:

30.00-(15%×30.00)= 25.5

As x increases without bound, f(x):


increases without bound


decreases without bound


approaches x = 3


approaches y = -4

Answers

Answer: Choice D) approaches y = -4

"x increases without bound" is another way of saying "x heads off to positive infinity". Visually, you follow the graph curve going to the right. As the graph shows, the curve steadily gets closer to the horizontal line y = -4, but it never actually gets there. This line is the horizontal asymptote.

Thomas earns 15 per hour if he recurved a 10% per hour pay increase how much does Thomas now make per hour

Answers

Answer:

He will make 16.50 per hour after his raise.

Step-by-step explanation:

15 x .10 = 1.50

15.00 + 1.50 = 16.50

Find the ratio of the volume of one sphere to the volume of the right cylinder

Answers

Answer:

B


Step-by-step explanation:

Let [tex]r[/tex] be the radius of one sphere.

Volume of sphere is [tex]V=\frac{4}{3}\pi r^3[/tex]

Since radius is r,  the height of the cylinder will be [tex]4r[/tex]

Also, the cylinder has the same radius as the sphere: [tex]r[/tex]


Volume of Cylinder is [tex]V=\pi r^2 h[/tex]

Plugging in the values we get: [tex]V=\pi (r)^{2}(4r)=4\pi r^3[/tex]


Ratio of volume of 1 sphere to volume of cylinder is:

[tex]\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}[/tex]

The ratio is 1:3

Answer choice B is right.

The thousand islands are located along the border between New York and Canada the adventure club wants to place a stone marker on all 1,000 of the islands the club has placed stones on 680 islands so far how many islands remain for the adventure club to visit

Answers

Answer:

320.

Step-by-step explanation:

1,000 - the 680 that have been completed gives you 320.

Can someone help me with 7-9

Answers

Answer:

Warning:

I think that these are correct, but don't make this your official source :)

7. B

8. D

9. B

I hope this helps :)




What is the distance between the points (21, 16) and (9, 11)?

Answers

Answer: 13 units

The x value goes from x = 21 to x = 9, which is an x distance of 12 units (21-9 = 12)

The y distance is 5 units (16-11 = 5)

We have a right triangle with legs of 12 and 5. The hypotenuse is x

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x^2 = 169

x = sqrt(169)

x = 13

The hypotenuse of this right triangle is 13 units, so this is the distance between the two points.

Which ordered pair is a solution to the linear inequality?
y - 4 x < -6

(-2,4)
(1, -2)
(1, 3)
(2, 3)

Answers

Answer: Choice B (1,-2)

note: I'm assuming there is a "less than or equal to" sign as part of the given inequality, rather than a simple "less than" sign (without the "or equal to" part)

============================================

Work Shown:

Plug in x = -2 and y = 4 from the point (x,y) = (-2, 4). Then simplify. If you get a true statement, then this is a solution point

[tex]y - 4x \le -6[/tex]

[tex]4 - 4*(-2) \le -6[/tex]

[tex]4 + 8 \le -6[/tex]

[tex]12 \le -6[/tex]

This statement is false. The value 12 is not to the left of -6 on the number line, nor is 12 equal to -6. So (x,y) = (-2,4) is not a solution

-------------

Plug in x = 1 and y = -2

[tex]y - 4x \le -6[/tex]

[tex]-2 - 4*(1) \le -6[/tex]

[tex]-2 - 4 \le -6[/tex]

[tex]-6 \le -6[/tex]

This statement is true, but only if the inequality sign is a "less than or equal to" sign. Otherwise, the statement is false because -6 cannot be smaller than itself.

-------------

Plug in x = 1 and y = 3

[tex]y - 4x \le -6[/tex]

[tex]3 - 4*(1) \le -6[/tex]

[tex]3 - 4 \le -6[/tex]

[tex]-1 \le -6[/tex]

Like choice A, this is false. So (x,y) = (1,3) is not a solution

-------------

Plug in x = 2 and y = 3

[tex]y - 4x \le -6[/tex]

[tex]3 - 4*(2) \le -6[/tex]

[tex]3 - 8 \le -6[/tex]

[tex]-5 \le -6[/tex]

We end up with another false statement. So (x,y) = (2,3) isn't a solution either.


Please help with math , can you explain how to do it

Answers

Answer:

12 dogs

Step-by-step explanation:

Let d = dogs

c = cats

d = 3c

c+d = 16

Substitute d =3c into the second equation

c+3c = 16

Combine like terms

4c = 16

Divide by 4

4c/4 = 16/4

c = 4

There are 4 cats

We still need to find the number of dogs

d = 3c

d = 3*4

   = 12

There are 12 dogs


Answer:

cats = 4; dogs = 12

Step-by-step explanation:

There are 3 times more dogs than cats.

There are 16 dogs and cats in all.

Let:

dogs = d ; cats = c

Set the system of equations:

d + c = 16

3c = d

Plug in 3c for d (as d = 3c) in the first equation

(3c) + c = 16

Simplify. Combine like terms:

(3c + c) = 16

4c = 16

Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Divide 4 from both sides

(4c)/4 = (16)/4

c = 16/4

c = 4

Plug in 4 for c in one of the equations.

d + c = 16

d + (4) = 16

Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides

d + 4 (-4) = 16 (-4)

d = 16 - 4

d = 12

Answers: c = 4; d = 12

~

Charles is going camping with his family 3 /4 miles away they walked at a steady speed of 2/1/4 per hour how many minutes will it take them to get to campsite

Answers

t = x/v
t = 0.75/2.25 = 1/3 h = 20 minutes.

The amount, A, in milligrams, of radioactive material remaining in a container can be modeled by the exponential function A(t) = 5(0.5)0.25t, where t is time, in years. Based on this model, how many years does it take for half of the original radioactive material to be left remaining?

Answers

Answer: 4 years


Step-by-step explanation:

A(0) has to be amount at start. Assume that's 5mg

Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),

(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).


We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.



Final answer:

The exponential function given can be used to model how radioactivity decays. Solving this function for when half the material remains, we find it takes approximately 2.8 years for half of the radioactive material to decay.

Explanation:

The amount of radioactive material remaining in a container over time can be modelled by the exponential decay function given in the question: A(t) = 5(0.5)0.25t. Here, A(t) stands for the amount left after time t, and the function gives a general rule for how radioactivity decays over time. Specifically, this rule tells us that after 1 year (t=1), approximately 74% of the radioactive material remains.

However, you're asking for the time it takes for half of the original material to remain. To solve this, we need to set A(t) to half its initial value, which is 2.5 milligrams: 2.5 = 5(0.5)0.25t. This translates to a simple equation 0.5 = (0.5)0.25t. Solving for t, we find that approximately 2.8 years are needed for half of the material to remain. Please note, this relies on the assumptions and limitations of the exponential decay model.

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Suppose the length and the width of the sandbox are doubled.

The length of the sandbox is 10 and the width is 6.

a.Find the percent of change in the perimeter.

b. Find the percent of change in the area.

Answers

Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.

Given-

The length of the sandbox is 10.

The width of the sandbox is 6.

a) The percent of change in the perimeter.

Perimeter of the rectangle

The perimeter of the rectangle is the twice of the sum of its side.The perimeter P of the sandbox is,

[tex]P =2\times (10+6)[/tex]

[tex]P =2\times (16)[/tex]

[tex]P=32[/tex]

When the length and the width of the sandbox are doubled the perimeter [tex]P_d[/tex] of the box is,

[tex]P_d=2\times(20+12)[/tex]

[tex]P_d=2\times(32)[/tex]

[tex]P_d=64[/tex]

Percentage [tex]\DeltaP[/tex][tex]\Delta P[/tex] change in the perimeter,

[tex]\Delta P=\dfrac{64-32}{32}\times 100[/tex]

[tex]\Delta P=100[/tex]

b) The percent of change in the area.

Area of the rectangle

The area of the rectangle is the product of its side.The area A of the sandbox is,

[tex]A = (10\times6)[/tex]

[tex]A=60[/tex]

When the length and the width of the sandbox are doubled the area [tex]A_d[/tex] of the box is,

[tex]A_d=20\times12[/tex]

[tex]P_d=240[/tex]

Percentage [tex]\DeltaP[/tex][tex]\Delta A[/tex] change in the area,

[tex]\Delta A=\dfrac{240-60}{60}\times 100[/tex]

[tex]\Delta P=300[/tex]

Thus when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.

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Which of the following represents the set of possible rational roots for the polynomial shown below 2x^3+5x^2-8x-20=0

Answers

Answer:

± 1/2,±1, ±2,± 5/2, ±4 ,±5 , ±10, ± 20

Step-by-step explanation:

We can use the rational root theorem to find all the possible roots

2x^3+5x^2-8x-20=0  

Let the constant term  be called p and the leading term be called q.  Then the possible roots are the positive and negative roots of the factors of p/q

p = 20

q = 2

Factors of p: 1,2,4,5,10,20

Factors of q: 1,2

Possible roots

    1 ,2,4,5,10,20

±   --------------------------------------------------------

      1,2

So we get

±1, ±2, ±4 ,±5 , ±10 ± 20 ± 1/2± 2/2,±4/2,± 5/2,± 10/2,± 20/2

Simplifying

±1, ±2, ±4 ,±5 , ±10, ± 20, ± 1/2,± 1,±2,± 5/2,± 5,± 10

Eliminating repeats

±1, ±2, ±4 ,±5 , ±10, ± 20 ,± 1/2,± 5/2

Putting them in numerical order

± 1/2,±1, ±2,± 5/2, ±4 ,±5 , ±10, ± 20

Answer:

Its Option 1

Step-by-step explanation:

The possible rational roots will have a numerator that divides 20 (the last number) and a denominator that divides 2 (the coefficient of x^3).

For example 20/2, 10/2 and -1/2  =  10, 5 and -1/2.

The correct answer is the first option.

The table below shows four systems of equations:


System 1
4x − 5y = 2
3x − y = 4

System 2
4x − 5y = 2
10x − 21y = 10

System 3
4x − 5y = 2
24x − 47y = 22

System 4
4x − 5y = 2
10x + 3y = 15


Which pair of systems will have the same solution?

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to three times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2

Answers

Answer:

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2

Step-by-step explanation:

We are given four systems of equations.  We are asked to find which two sets have the same solution.

We find that in all the 4 systems, first equation 4x-5y =2 remains the same.

I option is wrong because

Equation I + 2times equation 2 in II system

gives 10x-7y =10 but given is 10x-21y =10 hence wrong.

Now compare 2 and 3

In system 2, I equation +2times second equation gives

24x-5y-42y =2+20 or

24x-47y =22

Hence system 2 and 3 are the same set of equations and give the same solution.


Ivanna is saving money to buy a game. So far she has saved $24, which is three-fourths of the total cost of the game. How much does the game cost ?

Answers

Answer:

The game costs 32 dollars total, we know this because if you divid 32 by 4 its 8 and . if you multiply 8 times 3 its 24

Step-by-step explanation:


Final answer:

The total cost of the game is $32, calculated using the concept of fractions in mathematics where the given $24 was considered as three-fourths of the total game cost.

Explanation:

The subject of the question involves the concept of fractions in mathematics. Here the information provided states that $24, which Ivanna has saved, represents three-fourths (or 3/4) of the total cost of the game. To find out the total cost of the game, we will consider the $24 as three parts, and we need to find out the value of one part (or one-fourth). So, we divide $24 by 3, which gives us $8. This $8 is one-fourth of the total game cost. Now, to get the total cost, we will multiply this one-fourth value ($8) by 4. So, the total cost of the game is $8 * 4 = $32.

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when you multiply a function by -1, what is the effect on its graph?

a) the graph flips over the x-axis

b) the graph flips over the line y=x

c) the graph flips over the y-axis

Answers

Answer:

A. the graph flip over the x - axis...


Option b) the graph flips over the line y=x

When you multiply two function together, you will get a third function as the result,  and that third function as the result, and that third function will be the product of the two original functions . when we multiply the function by -1 ,it becomes y=-f(x)  . Then the coordinates becomes (x, -f(x))

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The measure of an exterior angle of a triangle is equal to the *blank* of the measures of the two *blank* interior angles.

(a). Difference; remote
(b). Product; alternate
(c). Sum; remote
(d). Sum; alternate
(e). Difference; adjacent

Answers

Answer:

C

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

We also know that the measure of an exterior angle of a triangle is the sum of the measure of two opposite interior angles.

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How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answers

Answer:

A difference of squares has the following form [tex]a^2-b^2[/tex]. Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form [tex]a^2-b^2[/tex]. Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Isabelle wants to buy a bicycle. She has saved $9.76.Her mom tells her she needs 8 times more than amount. How much money does she need to buy a bicycle.

Answers

Hope this helps!

Answer:

$68.32

Step-by-step explanation:

Is 9.76 = x

And the value needed is 8 * this amount, then it can be shown with 8x

8x = 9.76 * 8

8x = 78.08

So the total price is $78.08

To find the money needed, simply subtract the saved money from this amount:

78.08 - 9.76 = 68.32

So she needs $68.32!


Hope this helps!
Final answer:

Isabelle needs $78.08 to buy the bicycle, which is 8 times her current savings of $9.76.

Explanation:

Isabelle's current savings stands at $9.76. But she needs to have 8 times this amount in order to buy the bicycle. Mathematically speaking, you find how much she needs by multiplying her current savings by 8. So, $9.76 x 8 equals $78.08. Therefore, Isabelle needs a total sum of $78.08 to buy the bicycle.

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