The inequality to represent the number of tickets Bianca can buy without over drawing on her debit card is 14.50 + 6.50x ≤ 50 .
In the question ,
it is given that
amount of money present in Bianca's Debit card = $50
amount of money spend on lunch = $14.50
cost of 1 movie ticket = $6.50
le the number of ticket = "x"
according to the question ,
the inequality is
14.50 + 6.50x ≤ 50
6.50x ≤ 50 - 14.50
6.50x ≤ 35.5
x ≤ 35.5/6.50
x ≤ 5.46
≈ 5
Therefore , The inequality to represent the situation is 14.50 + 6.50x ≤ 50
, and the number of tickets she can buy is 5 .
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Find the angle between each of these pairs of vectors:
A = -2.00 i + 6.00 j and B = 2.00 i - 3.00 j
The angle of pairs = 170.
The characteristics of the scalar product allows to find the angle between the two vectors is:The scalar product is the product between two vectors whose result is a scalar.
A . B = |A| |B| cos θWhere A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.
The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.
i.i = j.j = 1 i.j = 0 A . B = (4 i - 4j). * -5 i + 7j) A . B = - 4 5 - 4 7 A. B = -48We look for the modulus of each vector.
|A| = 4 √2 |B| = 8.60We substitute. -48 = 4√2 8.60 cos θ -48 = 48.66 cos θ θ = cos⁻¹ θ = 170ºIn conclusion using the dot product we can find the angle between the two vectors is:
Hence, the angle θ = 170º
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A triangle has a base of 8 inches and a height of 12 inches. What is the area?
Helpful conversion fact: A=1/2b•h
96 inches
96 square inches
48 inches
48 square inches
Answer:
48 square inches
Step-by-step explanation:
A=1/2 bh
A=(1/2)(8)(12)
A=(4)(12)
A=48 square inches
you can also multiply 8 x 12 then divide by 1/2 or 2 which is still 48. either way is correct but since the formula is half of the base times height that is the step i followed. Also area is always whatever measurement used (in this case inches) squared.
Question 2 (1 point)
Determine which relation is a function.
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
The following relation are said to be the functions:
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
Relation:
Relation in math is a set of ordered pairs defining the relation between two sets.
Given,
Here we have the following relation
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
Now, we need to identify the which relations are the functions.
We know that the function means the relation in math such that each element of the domain is related to a single element in the codomain.
While we check this condition with each relation then we get,
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
This one is not a relation because here -5 take two output values.
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
This one is not a relation because here -2 take two output values.
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
This one is a function because each domain has exactly one co domain
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
This one is not a relation because here -6 take two output values.
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AGES Pedro, Sebastian, and Manuel Martinez are each one year apart in age.
The sum of their ages is greater than the age of their father, who is 60.
a. Write an inequality to represent this situation, where x is the age of the youngest brother.
b. Solve the inequality.
c. How old can the oldest brother be? Explain your reasoning.
a) The inequality is
P + S + M > 60
b) The solution of the inequality is:
P > 19
Where P is Pedro's age.
c) The oldest brother has more than 21 years-
How to write the inequality?Let's define the variables:
p = Pedro's age.
S = Sebastian's ae
M = Manuel's age
We know that the sums of their ages is more than 60, then:
P + S + M > 60
This is the inequality.
b) We know that the brother are one year apart, then:
S = P + 1
M = P + 2
replacing that we get:
P + P + 1 + P + 2 > 60
3P + 3 > 60
3P > 60 - 3
3P > 57
P > 57/3 = 19
P > 19
So Pedro has more than 19
c) The oldest brother is 2 years older than Pedro, then:
M > 19 + 2
M > 21
Manuel is more than 21 years old.
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Construct a polynomial function with the following properties: third degree, 2 is a zero of multiplicity 1, −4 is the only other zero, leading coefficient is 2.
The polynomial in standard form is equal to 2 · x³ + 12 · x² - 64.
How to derive a cubic equation
Cubic equations have three roots. In this problem we need to derive a cubic equations whose three real roots (r₁, r₂, r₃) and leading coefficient (a) are given. The procedure consists in substituting on factor form of a cubic polynomial and expanding the resulting expression until standard form is obtained.
First, substitute on the factor form of the cubic equation:
y = 2 · (x - 2) · (x + 4)²
Second, expand the polynomial until its standard form is found:
y = 2 · (x - 2) · (x² + 8 · x + 16)
y = 2 · (x³ + 8 · x² + 16 · x - 2 · x² - 16 · x - 32)
y = 2 · (x³ + 6 · x² - 32)
y = 2 · x³ + 12 · x² - 64
The polynomial is equivalent to 2 · x³ + 12 · x² - 64.
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The ratio of boys to girls in a class is 2:3 if there are 48 pupils in the class.How many boy and girls are there?
tysm po
26³ +5=2(3)³ +5 7
please help me solve this lol
Answer:
(simplify 26³)
26³ = 17,576
= 17,576 + 5 = 3³+57
(simplify 3³)
3³ = 27
= 17,581 = 27+57
= 17,581 ≠ 84
Eva says you can use the conversion for 60 km into
miles to convert 600 km into miles. Use Eva's
method to convert 600 km into miles.
300
miles
After using conversion of measurements , the answer is
60 km = 37.28 miles and 600km = 372.83 miles.
What is conversion of measurements?
By multiplying or dividing a number, a conversion factor can be used to change one set of units to another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. The correct conversion factor, for instance, is 12 inches to 1 foot when converting between inches and feet. We must convert between different units in order to have accuracy and prevent measurement confusion.
Here the given we need to convert them km into miles.
To convert km to miles we need to divide the value by 1.609 .
=> 60 km
=> 60/1.609
=> 37.28 miles.
Now ,
=> 600 km
=> 600/1.609
=> 372.83 miles.
Therefore after conversion of measurement answer is
60 km = 37.28 miles and 600km = 372.83 miles.
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Order these numbers from least to greatest.
2.9042, 2.9, 4.419, 2.94
1. What property is demonstrated by the following example: 3+1 = 1+3
2 points
distributive
associative
additive identity
commutative
Clear selection
2. Which property is displayed in the given example: 4(2-x) = 8 - 4x
2 points
distributive
associative
commutative
multiplicative inverse
Clear selection
3. Which of the following examples displays the additive identity property:
2 points
3+(1+2) = (3+1) + 2
3 + 0 = 3
3+1 = 1+3
3/1(1/3) = 1
Clear selection
4. Which property below is shown here: 32 + (x +2) = (32 + x) + 2
2 points
distributive
associative
additive identity
commutative
Clear selection
5) Which of the following is an example of an expression?
*
2 points
Option 1
Option 2
Option 3
Option 4
6) Translate: Thirteen less than twice a number
*
2 points
Option 1
Option 2
Option 3
Option 4
7. The following example is demonstrating which property: 4/1(1/4)=1
2 points
distributive
associative
commutative
multiplicative inverse
8) Which of the following best describes a monomial?
*
2 points
A algebraic expression with three terms
An algebraic expression containing exactly one term
A number that has more than two factors
An algebraic expression containing two terms.
9) Charlie was evaluating the expression below and made an error. In what line did he make his error? (unit 2 Integer review)
*
2 points
Captionless Image
(1) Line #1
(2) Line #2
(3) Line #3
(4) Line #4
10) Which number sets does "0" belong to? (Unit 1 Number sets review)
*
2 points
Rational ONLY
Real, Rational, Integer, and Whole Numbers
Real and Irrational Numbers
Real and Natural Numbers
11. Solve 2/3 divided by 0.8 (Unit 3 operations with rational numbers review)
2 points
2 1/2
5/6
2 2/5
0
12. Which expression below is an example of a binomial?
2 points
2x
2x + 2
2xy + x + 2
2xy
13. Which expression correctly simplifies the polynomial? 2x - 4 + 3x + 24
2 points
1x + 20
5x + 28
1x + 28
5x + 20
14. Which expression correctly simplifies the following expression? 2.5(3n + 3.6)
2 points
5.5n + 6.5
7.5n + 3.6
7.5n + 9.0
5.5n + 9.0
15. After you translate the following problem, which choice shows the negative 1 distributed correctly? Subtract (4m + 15) from (12m - 10)
2 points
4m +15 - 12m - 10
4m +15 - 12m + 10
12m - 10 - 4m + 15
12m - 10 - 4m - 15
16. Factor the following expression: 6x - 18
2 points
2(3x - 9)
3(2x - 6)
6(1x - 3)
9(3x - 2)
Submit
Clear form
Answer:
1:commutative
2:distribution
3:3+0=3
4:distributive
5:
(ASAP Please)
Find the area of the sector. Use 3.14 for the value of pi. Round your answer to the nearest tenth.
A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as:
Area = πr²
The total sector of a circle is 360°
The area of the sector of 270° is 37.68 square meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as:
Area = πr²
We have,
The radius of the circle = 4 m
The total sector of a circle is 360°
The area of the sector with 270°.
= (270°/360°) x πr²
= 0.75 x πr²
= 0.75 x 3.14 x 4²
= 37.68
= 37.7 square meters
Thus,
The area of the sector of 270° is 37.68 square meters.
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Solve: √2x-9 = x-6
a) x=9
b) The equation has no solution.
c) x= 5,9
d) x=5
Answer:
A
Step-by-step explanation:
STEP 1:
Isolate the square root on the left hand side
Radical already isolated
√2x-9 = x-6
STEP 2:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-9)2 = (x-6)2
After squaring
2x-9 = x2-12x+36
STEP 3:
Solve the quadratic equation
Rearranged equation
x2 - 14x + 45 = 0
This equation has two rational roots:
{x1, x2}={9, 5}
STEP 4:
Check that the first solution is correct
Original equation
√2x-9 = x-6
Plug in 9 for x
√2•(9)-9 = (9)-6
Simplify
√9 = 3
Solution checks !!
Solution is:
x = 9
STEP 5:
Check that the second solution is correct
Original equation
√2x-9 = x-6
Plug in 5 for x
√2•(5)-9 = (5)-6
Simplify
√1 = -1
Solution does not check
1 ≠ -1
One solution was found :
x=9
Hope this helps!!
What is the slope of a line that is parallel to the line
−
7
x
−
5
y
=
−
6
? Write your answer as an integer or fraction.
The slope of the line that is parallel to the line -7x-5y=-6 is -7/5
What is the slope of a line?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass.
Any two unique places along the line may be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the vertical change to the horizontal change in each case. We shall comprehend how to discover the slope in this piece, along with some of its uses.
Given, line is -7x-5y=-6
We have to write the given line in slope-intercept form
Then, y= (-7/5)x+(6/5)
The slope-intercept form is y= mx +c
By using the slope-intercept form,
Slope=(-7/5)
The lines that are parallel to y= (-7/5)x+(6/5) have the same slope of -7/5
Therefore, the slope of the line that is parallel to the line -7x-5y=-6 is -7/5
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(1,y) and (x,−3).
6x+3y=15
The values of x and y are 4 and 3 respectively, this forms an ordered pair of (1,3) and (4,-3).
What are the the values of x and y?Given the equation and ordered pair the question;
6x + 3y = 15Point: ( 1,y)Point; (x,−3).To determine, the y-value, plug the x-value into the equation and solve for y.
6x + 3y = 15
Plug in x = 1
6(1) + 3y = 15
6 + 3y = 15
3y = 15 - 6
3y = 9
y = 9/3
y = 3
To determine, the x-value, plug the y-value into the equation and solve for x.
6x + 3y = 15
Plug in y = -3
6x + 3( -3 ) = 15
6x - 9 = 15
6x = 15 + 9
6x = 24
x = 24/6
x = 4
Therefore, the ordered pair are (1,3) and (4,−3).
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Micheal wants to buy an efficient smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Micheal picked out costs $16,100. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 70 months. The equation y= -230x+16,100 represents the amount, Y (in dollars), that Michael owes his father after X months.
A) How much does Michael owe his dad after six months?
B) determine the slope of the line and interpret its meaning in the context of this problem.
1) Micheal owes his father $[ ] after 6 months.
2) The slope is [ ]
3) The amount Michael owes his father [choose one] by $[ ] per month.
$17690 is the amount Michael owed his dad .
What is linear equation ?Equations and equations of maximum degree 1 are also called "linear equations". The linear equation formula can be written as Y = mx + b. where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slope indicates the direction and slope of the line. . This is because (0,y) is the point where the line intersects the y-axis.
CalculationThe amount Michael owes is given by :
y = - 290x +18,560
x = number of months ; y = amount owed
Amount owed after 3 months :
Put x = 3 in the equation :
y= - 290(3) +18,560
y = - 870 + 18560
y = 17690
According to the general form of a linear equation :
y = mx + c
Where, m = slope ; c = intercept
The slope = - 290 ; Intercept = 18560
Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month
The intercept shows that the original amount borrowed is 18560
Amount Michael owes his father decreases by 290 per month.
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help please, right answers only
Part a: p gets closer to 0, the number of T-shirt purchased increases.
Part b: p gets larger, the number of T-shirt purchases decreases: so it is a decreasing function.
What is defined as the decreasing function?As we approach towards the right side of the x-axis, the graphs of increasing and decreasing functions, respectively, shift upward and downward. A function is considered to be decreasing on to an interval I if it has the value f(x) ≥ f(y). for any two values in the interval I that are such that x < y.For the given function;
The relation of the number of T-shirt and the price of the T-shirt are given by the function; n(p) = 800/p.
The graph of the function is given as; y = n(p)
From, the graph it is clear that when, the value on x axis increases, the value on y-axis decreases.
Thus, the function is decreasing function.
Part a: p gets closer to 0,
Now, when, p gets closer to 0, the number of T-shirt purchased increases as the there is a reduction of the price of T-shirt.
Part b: p gets larger.
When p gets larger, the number of T-shirt purchased decreases, as there is a increase in the price of the T-shirt.
Thus, the T-shirt purchased will be reduced.
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If you borrow $28 000 to buy a car and repay it over 5 years with a fixed interest rate of 9.8% p.a., how much simple interest will you pay?
Answer:
$13,720.00
Step-by-step explanation:
Calculate simple interest using the equation A = P(1 + rt)
Convert 9.8% to a decimal for ease (0.098)Solve: A = 28000(1 + (0.098 × 5)) = $41720.00A = $41,720.00
Interest = total repayment - original cost
$41,720.00 - 28,000 = $13,720.00
Spot Robin says, "I can find 6 x 9 by
multiplying 4 x 9 and doubling it." Does her statement
make sense? Justify your answer.
Answer:
No
Step-by-step explanation:
It does not make sense becuse 6x9=54
And 4x9(2)=72 so it would make no sense
Two customers went to a sports shop to buy baseball gloves. Each baseball costs the same amount, and each glove costs the same amount.
The first customer paid $60.00 for 4 baseballs and 2 gloves.
The second customer paid $84.00 for 5 baseballs and 3 gloves.
What was the cost, in dollars, of each baseball?
Question 7 options:
$8.50
$6.00
$5.25
$12.00
Hurry!!
The cost, in dollars, of each baseball is B. $6.00.
How to calculate the cost?The first customer paid $60.00 for 4 baseballs and 2 gloves. This will be expressed as:
4b + 2g = 60
The second customer paid $84.00 for 5 baseballs and 3 gloves. This will be:
5b + 3g = 84
Collect both expressions
4b + 2g = 60
5b + 3g = 84
Multiply equation i by 3
Multiply equation ii by 2
12b + 6g = 180
10b + 6g = 168
Subtract
2b = 12
Divide
b = 12/2
b = 6
The baseball is $6.
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The length of the segment is _____centimeters
The scale is __cm : __mm.
Answer:
I'm assuming it's just a conversion of mm into cm?? in that case it will be 2.4 cm
The graph of g(x) is the graph of f(x)=x−2reflected across the y-axis. Which equation describes function g?
The required equation of g(x) for reflection of f(x)=x-2 across the y-axis is g(x)=-x-2.
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
Given that,
f(x)=x-2
To find the required equation for g(x) that is reflected across the y-axis, Use reflection property,
According to reflection property,
Reflection Across the y-axis, the x change in -x and the remaining part of the equation remains same.
The equation of f(x) changes in g(x) as g(x)=-x-2,
So, the equation of g(x)=-x-2 .
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help please??? for brianlest???
Step-by-step explanation:
Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)
Y value is also called f(x) as shown on your screen
The points are
(1,-8)
(2,5)
(3,-2)
(4,1)
The domain would be 4,3,2,1 and the range would be -8,-2,1,5
The common difference is that the domain follows a constant change of rate, but not the range.
A constant change of rate means that it's changing at a constant rate.
It can also be called slope.
E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)
The domain is subtracting 1, yet the range isn't following a constant change of rate.
A way to find slope is in the image.
help please only have till 12
y=mx+b
Answer:
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
A cube has a volume of 125 cubic inches. What us the length of each adge? Enter your answer in the box
5 inches
I just randomly guessed
the population of white-tailed deer is growing rapidly in the united states. in 1905 the population was approximately 5x10^5 and in 2000 the population was approximately 2x10^7 how many times larger was the population of white tailed deer in 2000 than it was in 1905
Answer:
40
Step-by-step explanation:
2 x 10⁷/5 x 10⁵ = 2/5 x 10^5-7 = 2/5 x 10² = 2 x 100/5
There were 40 times more white-tailed deer in 2000 than in 1905
convert 7 yards per minute to feet per second. (3 feet=1 yard)
please help fast!! my life is in risk!
Answer:
The answer you are looking for is 0.35 foot per second.
Step-by-step explanation:
Formula = divide the speed by 20
(Or in this case 7 divided by 20).
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The Americans with Disabilities Act (ADA) gives businesses and cities requirements, rules, for making sure that people in wheelchairs and scooters can use slopes. The ADA requires a 1:12 slope for wheelchairs and scooters. (This means that for every one unit of vertical distance, the ramp must have 12 units of horizontal distance.) Mrs. Giles has a small business. She wants to make sure she builds the entrance to her building correctly. The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store. According to the ADA rules, how long (horizontal distance) does the ramp need to be, in feet?
The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
What is ratio?Comparing one quantity to another is what it is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.
Given:
The ratio of vertical and horizontal distance = 1:12,
The vertical distance of Mrs. Giles's business = 28 inches,
If for every one unit of vertical distance, the ramp must have 12 units of horizontal distance, so or 28 inches vertical distance the horizontal distance would be = 28 × 12 = 336 inches,
([tex]1 feet = 12inches[/tex])
= 336 / 12 = 28 feet
Therefore, The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.
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Divide negative 7 and 4 over 7 ÷ negative 8 and 1 over 5.
265 over 287
negative 265 over 287
36 over 35
negative 36 over 35
The division of negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 is A. 265 over 287
What is a division?A division simply shows the separation of the number that is given. It should be noted that division is illustrated by the symbol / or ÷.
In this case, negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 will be:
= (- 7 4/7) ÷ (- 8 1/5)
= - 53/7 ÷ (-41 / 5)
= -53/7 × -5/41
= 265 / 287
Therefore the correct option is A.
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Answer: 265/287
I'm not an average brain like other people.
If you draw two cards from a standard deck of 52 cards without replacement, find
P (Queen ⋂ Queen).
The probability of drawing two queens without replacement from ths standard deck is 1/221.
What is probability?Probability is the likelihood that an event will occur.
In a standard deck of cards, the total number of cards is 52.
There are 4 queens, the probability of drawing the first queen is 4/52.
After the first draw, there'll be 3 queens left and 52 cards. Therefore, the probability will be:
= 4/52 × 3/51
= 1/13 × 1/17
= 1/221
The probability is 1/221.
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Which number has a 6 whose value is
10 times greater than the value of the
6 in 237,629?
A. 328,564
B. 426,579
C. 519,638
D. 618,402
Answer: B
Step-by-step explanation:
For 237,629 the 6 is located in the hundreds section so its value is approx. 600.
Now when you multiply 600 by 10 you get 6000
So the number of 6 should be located in the 6,000 range which is only in answer B 426,579
Answer:
B- 426,579
Step-by-step explanation:
The value of 6 in 237,629 is 600
600×10=6,000
Which answer has 6,000 as the value of 6?
- Answer B: 426,579