Answer:
145 I think
Step-by-step explanation:
sjsksosksmsnsjjznzmskkskskskskskskskssk
ASAP SOMEONE PLEASE ANSWER THIS PROBLEM FOR ME AND IF YOU DO THANK YOU!! :D
(The counter servers at Pop Brothers earn $8 per hour. If pis the amount of earnings and his number of hours worked,
which equation can be used to calculate the earnings for 1 server?)
1:ph = 8
2:Bp=8h
3:p=h+8
4:Dh=8p
The answer would be A
Answer:
1 ph=8
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST
Base: 5(x+8)
Height: 2(x+5)
Hypotenuse:3(2x+11)
x =
Height=
Base=
Hypotenuse=
Perimeter in simplified equation ____ = 252
PLEASE HELP THANK YOU!!
Answer: x=13, Base=105, Height=36, Hypotenuse=111.
Step-by-step explanation:
Perimeter=Bace+Height+Hypotenuse
252=5*(x+8)+2*(x+5)+3*(2x+11)
Expand the brackets on the right side of the equation:
252=5x+40+2x+10+6x+33
252=13x+83
252-83=13+83-83
169=13x
Divide both sides of the equation by 13:
13=x.
Hence:
Base=5*(13+8)
Base=5*21
Base=105.
Height=2*(13+5)
Height=2*18
Height=36.
Hypotenuse=3*(2*13+11)
Hypotenuse=3*(26+11)
Hypotenuse=3*37
Hypotenuse=111.
find the angles marked with with letters
Answer:
<A=67⁰
<B=22⁰
<C=42⁰
Mark me BRAINLIESTAnswer:
a = 67° , b = 26° , c = 69°
Step-by-step explanation:
a and 67° are corresponding angles and are congruent , so
a = 67°
------------------------------------------------------
The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is
b + 34° = 60° ( subtract 34° from both sides )
b = 26°
---------------------------------------------------
The vertex of the triangle and 42° are vertically opposite and are congruent
vertex = 42°
The triangle has 2 equal legs and is isosceles with 2 base angles congruent.
c = \(\frac{180-42}{2}\) = \(\frac{138}{2}\) = 69°
find a vector equation for the line segment from (4, −3, 5) to (6, 4, 4). (use the parameter t.)
Thus, the vector equation for the line segment is: r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1
To find the vector equation for the line segment from (4, -3, 5) to (6, 4, 4), we need to first find the direction vector and the position vector.
The direction vector is the difference between the two points:
(6, 4, 4) - (4, -3, 5) = (2, 7, -1)
Next, we need to choose a point on the line to use as the position vector. We can use either of the two given points, but let's use (4, -3, 5) for this example.
So the position vector is:
(4, -3, 5)
Putting it all together, the vector equation for the line segment is:
r(t) = (4, -3, 5) + t(2, 7, -1), 0 ≤ t ≤ 1
This equation gives us all the points on the line segment between the two given points. When t = 0, we get the starting point (4, -3, 5), and when t = 1, we get the ending point (6, 4, 4).
Any value of t between 0 and 1 gives us a point somewhere on the line segment between the two points.
Know more about the vector equation
https://brainly.com/question/8873015
#SPJ11
BRAINLY TO WHOEVER HELPS
Answer:
9: D 10: A
Step-by-step explanation:
Answer:
9 is a
Step-by-step explanation:
Algebra 1 ) U. Checkpoint: Systems of equations and inequalities LOW
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Clare plans to attend the Hamilton County Fair and is trying to decide what would be a better
deal. She can pay $39 for unlimited rides, or she can pay $15 for admission plus $3 per ride.
If Clare goes on a certain number of rides, the two options wind up costing her the same
amount. How many rides is that? What is that cost?
If Clare goes on
rides, the two options will both cost $
Answer:algebra ok
Step-by-step explanation:
Answer:
8 rides $39 cost
Step-by-step explanation:
i just did it
What is one idea that Andre doesn’t understand about rotations?
Answer:
457367
Step-by-step explanation:
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
To know more about Net present value visit
https://brainly.com/question/32720837
#SPJ11
PLEASE HELP i need this for today at 4
Step-by-step explanation:
Work out the value of x.
#12The angles are supplementary as same side interior angles, sum to 180°:
x + x - 26 = 1802x = 206x = 103#13The angles are corresponding, hence congruent:
3x - 5 = x + 553x - x = 55 + 52x = 60x = 30#14The angles are supplementary as same side interior angles, sum to 180°:
2x + 24 + x = 1803x = 180 - 243x = 156x = 52#15The angles are corresponding, hence congruent:
4x - 12 = 3x + 64x - 3x = 6 + 12x = 18#16Corresponding with the right angle:
4x + 12 = 904x = 78x = 19.5#17Vertical angle of the bottom angle is supplementary with the top angle:
2x + 12 + 3x + 23 = 1805x + 35 = 1805x = 145x = 49Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
Campbell Candy Corporation desires a 13% return on investment (ROI) on all operations. The following information was available for the company for the current year: Sales$16,000 Operating Income$4,200 Turnover 0.5 What is the corporation's ROI
Campbell Candy Corporation's return on investment (ROI) for the current year is 26%.
Return on Investment (ROI) is a financial metric used to evaluate the profitability of an investment. It is calculated by dividing the operating income by the investment amount and expressing it as a percentage. In this case, the operating income for Campbell Candy Corporation is $4,200, and the turnover is 0.5.
To calculate the investment amount, we can divide the sales by the turnover. Sales are given as $16,000, and the turnover is 0.5, so the investment amount is $32,000 ($16,000 / 0.5).
Now we can calculate the ROI by dividing the operating income ($4,200) by the investment amount ($32,000) and multiplying it by 100 to get the percentage.
ROI = ($4,200 / $32,000) * 100 = 13.125%
Therefore, Campbell Candy Corporation's ROI for the current year is 13.125%, which is higher than the desired 13% return on investment. This indicates that the company has achieved a satisfactory level of profitability on its operations.
Learn more about metric here:
https://brainly.com/question/24248807
#SPJ11
The area of a rectangle is represented by x^2 + 7x - 18. Factor to find binomial expressions representing the length and width. What is the difference between the length and width?
Answer:
x^2 + 7x - 18 = (x + 9)(x - 2)
The difference between length and width is x + 9 - (x - 2) = x + 9 - x + 2 = 11.
please help me out with this
Answer:
its easy...are u in 5th
Step-by-step explanation:
I NEED HELP PLEASE.
Can someone help me please. Im not sure if that answer is correct I accidentally clicked it
Answer:
I think it's correct
PLEASE MARK AS BRAIN LIST
6.23 E4 cs=6.23 E4 (10) ms=6.23 E(4+1) ms= 6.23 E5 ms
(where c=1/100, and m=1/1000)
so correct answer is 6.23 E5 ms
for inventory how did you get these numbers like 114?
To determine the number of items in inventory, you need to consider several factors. One way to obtain a number like 114 is by conducting a physical count of the items in stock.
This involves physically counting each item and recording the quantity. Alternatively, you can use an inventory management system that automatically tracks the number of items based on purchases, sales, and returns.
Here is a step-by-step process to get the inventory numbers:
1. Start with an initial inventory count: Begin by counting all the items on hand at the start of a specific period, such as the beginning of the month or year. This is the baseline number.
2. Track incoming and outgoing items: Throughout the period, record all incoming and outgoing items. This includes purchases, sales, returns, and any other transactions related to the inventory.
3. Conduct periodic physical counts: Regularly perform physical counts of the items in stock to verify the accuracy of the recorded numbers. This helps identify any discrepancies or errors in the inventory count.
4. Adjust inventory for any discrepancies: If there are discrepancies between the physical count and the recorded count, make necessary adjustments to ensure the inventory numbers are accurate.
5. Calculate the ending inventory: At the end of the period, add up the initial inventory count and the total purchases. Then, subtract the total sales and returns. The resulting number is the ending inventory, which represents the quantity of items on hand at the end of the period.
By following these steps, you can obtain accurate inventory numbers like 114. Remember to maintain proper documentation and perform regular checks to ensure the accuracy of your inventory count.
To know more about the stock, visit:
https://brainly.com/question/12083642
#SPJ11
Which of the following tools is used to capture data packets over time(continuously or overnight)?PuTTYTraffic AnalyzerWiresharkNetWitness Investigator
Wireshark is the tool used to capture data packets over time, either continuously or overnight.
Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.
With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.
Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.
Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.
Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.
To learn more about Wireshark, refer below:
https://brainly.com/question/10729199
#SPJ11
2. (15 pts) Find \( y^{\prime} \) and the two equations of the tangent line to the graph of \( x^{3}+3 x y^{2}+y=15 \) when \( x=1 \). (Use exact values and write the equations in slope-intercept form
The value of y' of x³ + 3xy² + y = 15 when x = 1, are:
dy/dx (at x = 1) = -(3 + 3y²) / (1 + 6y)
The two equations of the tangent lines to the graph of x³ + 3xy² + y = 15 when x = 1 are:
y - 2 = -15/14 * (x - 1)
y + 7/3 = -1/14 * (x - 1)
Here, we have,
To find y' and the equations of the tangent line to the graph of x³ + 3xy² + y = 15 when x = 1, we will first find the derivative dy/dx and evaluate it at x = 1 to get the slope of the tangent line.
Then, we can use the point-slope form to write the equations of the tangent line.
Let's start by finding dy/dx:
Differentiating the equation x³ + 3xy² + y = 15 implicitly with respect to x:
3x² + 3y²(dx/dx) + 6xy(dy/dx) + dy/dx = 0
Simplifying the equation:
3x² + 3y² + 6xy(dy/dx) + dy/dx = 0
Rearranging to solve for dy/dx:
dy/dx = -(3x² + 3y²) / (1 + 6xy)
Now, we evaluate dy/dx at x = 1:
dy/dx (at x = 1) = -(3(1)² + 3y²) / (1 + 6(1)y)
= -(3 + 3y²) / (1 + 6y)
This gives us the slope of the tangent line when x = 1.
Now, let's find the y-coordinate corresponding to x = 1. We substitute x = 1 into the original equation and solve for y:
(1)³ + 3(1)y² + y = 15
1 + 3y² + y = 15
3y² + y = 14
This is a quadratic equation in terms of y. We can solve it to find the y-coordinate:
3y² + y - 14 = 0
Using factoring or the quadratic formula, we find that y = 2 or y = -7/3.
So, we have two points on the graph when x = 1: (1, 2) and (1, -7/3).
Now, we can write the equations of the tangent lines using the point-slope form:
Tangent line at (1, 2):
Using the slope dy/dx = -(3 + 3y²) / (1 + 6y) evaluated at x = 1:
y - 2 = dy/dx (at x = 1) * (x - 1)
Substituting the values:
y - 2 = (-(3 + 3(2)²) / (1 + 6(2))) * (x - 1)
Simplifying:
y - 2 = -15/14 * (x - 1)
This is the equation of the tangent line at (1, 2) in slope-intercept form.
Tangent line at (1, -7/3):
Using the slope dy/dx = -(3 + 3y²) / (1 + 6y) evaluated at x = 1:
y - (-7/3) = dy/dx (at x = 1) * (x - 1)
Substituting the values:
y + 7/3 = (-(3 + 3(-7/3)²) / (1 + 6(-7/3))) * (x - 1)
Simplifying:
y + 7/3 = -1/14 * (x - 1)
This is the equation of the tangent line at (1, -7/3) in slope-intercept form.
Therefore, the two equations of the tangent lines to the graph of x³ + 3xy² + y = 15 when x = 1 are:
y - 2 = -15/14 * (x - 1)
y + 7/3 = -1/14 * (x - 1)
To know more about slope-intercept, visit:
brainly.com/question/30216543
#SPJ4
If A+B =45 then prove that
i) CotA.CotB-CotA-CotB=1
Answer:
Step-by-step explanation:
\(if A+B=45\\tan(A+B)=tan(45)\\\dfrac{tanA+tanB}{1-tanA.tanB}=1\\ \implies tanA+tanB=1-tanA.tanB\\\frac{1}{cotA}+\frac{1}{cotB}=1-\frac{1}{cotA}\frac{1}{cotB}, \{tanX=\dfrac{1}{cotX} \}\\ cotA+cotB=cotA.cotB-1\\cotA.cotB-cotA-cotB=1.\)
I don't understand question 4.
Your answer for A is correct.
For B, I would keep the base of the logarithm as simple as possible.
\(y = 100 \cdot 3.24^x \implies \dfrac y{100} = 3.24^x \implies \log_{3.24}\left(\dfrac y{100}\right) = \log_{3.24}(3.24)^x \\\\ \implies x = \log_{3.24} \left(\dfrac y{100}\right)\)
In part A, the function told us the number of students with cell phones (dependent variable) after some number of years post-2000 (independent variable). Our new function turns this around and tells us the time in years after 2000 (dependent) based on how many student have cell phones (independent).
For C, if we set \(y=7200\) students, then we can estimate the time it takes for the all students to acquire cell phones by solving for \(x\).
\(x = \log_{3.24}\left(\dfrac{7200}{100}\right) = \log_{3.24}(72) \approx 3.63794\)
If you're using a typical calculator, it probably won't have buttons for logarithms of any base other than 10 or the natural base \(e\). To work around that, use the change-of-base identity
\(\log_{3.24}(72) = \dfrac{\log_{10}(72)}{\log_{10}(3.24)} = \dfrac{\ln(72)}{\ln(3.24)}\)
At any rate, it would take about 3.64 years for all students to get a cell phone, according to this model.
a researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. how should we interpret the relationship between these variables?
In the above condition of positive correlation, the higher a person scores on involvement, the higher they tend to score on life satisfaction. Therefore, the option B holds true.
Positive correlation can be referred to or considered as the correlation, wherein the relationship between two or more elements, that are taken into consideration, is direct. The direct relationship means that the movement of a change in one element leads to an equal movement in the other. Positive correlation also states about the measure of life satisfaction in the above condition.
Learn more about positive correlation here:
https://brainly.com/question/27886995
#SPJ4
Complete question
A researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. How should we interpret the relationship between these variables?
A) There is no relationship between involvement and life satisfaction.
B) The higher a person scores on involvement, the higher they tend to score on life satisfaction.
C) The higher a person scores on involvement, the lower they tend to score on life satisfaction.
D) Involvement and life satisfaction are probably the same variable
Aiden is grocery shopping and wants to know which packages are cheapest. He is
looking at four different bottles of liquid laundry detergent: Bottle A is 175 fluid
ounces for $19.25; Bottle B is 138 fluid ounces for $8.97; Bottle C is 100 fluid ounces
for $8.00; and Bottle D is 72 ounces for $7.56. Assuming the detergent is of equal
quality, which bottle is the best deal?
Answer:Bottle B
Step-by-step explanation:
Given
Bottle A has 175 fluid ounce and cost \(\$19.25\)
So it cost \(\frac{175}{19.25}=9.09\ \text{ounce per}\ \$\)
Bottle B has 138 fluid ounce and cost \(\$8.97\)
So it cost \(\frac{138}{8.97}=15.38\ \text{ounce per}\ \$\)
Bottle C has 100 fluid ounce and cost \(\$8.0\)
So it cost \(\frac{100}{8}=12.5\ \text{ounce per}\ \$\)
Bottle D has 72 fluid ounce and cost \(\$7.56\)
So it cost \(\frac{72}{7.56}=9.52\ \text{ounce per}\ \$\)
So, Bottle B delivers more ounces at same price
A woman is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 revolutions per minute, find the speed at which she is traveling in mph
The speed at which she is traveling is 2.87 mph (approximately).
Given that the wheels of the bicycle have a diameter of 28 inches and it rotates at 130 revolutions per minute.
We need to find the speed at which the woman is traveling in mph.
Speed of the bicycle can be calculated by the formula: Speed = Distance / Time.
Distance covered by the bicycle in 1 minute = circumference of the wheel x number of revolutions= 2πr × RPM
Here, r = radius of the wheel = diameter / 2 = 28 / 2 = 14 inches
RPM = Revolutions Per Minute = 130
Speed = 2πr x RPM/60 mph
We need to convert the speed to mph, therefore divide it by 5280 feet (1 mile = 5280 feet)
Therefore, Speed = 2πr × RPM × 60/5280 mph
Putting the values in the formula,
Speed = (2 x 22/7 x 14 x 130 x 60) / 5280= (44 x 1820) / 5280= 15180 / 5280= 2.87 mph (approximately)
Know more about speed here:
https://brainly.com/question/2590333
#SPJ11
7.Show that quadrilateral FGHJ is a trapezoid, but is not a parallelogram.
Answer:
FJ is -3/1
Step-by-step explanation:
And in order to be a trapezoid, just one pair of sides needs to be parallel.
If h(x) = 3x² – 5x – 2, find h(2)
Answer:
h(2) = 0
Step-by-step explanation:
1) 2 * 2 = 4
2) 4 * 3 = 12
3) 5 * 2 = 10
4) 12 - 10 - 2 = 0
ANSWER FAST PLZ!!!!!!!!!!!!!!
Answer:
A y=-5/4x+6
Step-by-step explanation:
One example of consecutive odd integers would be 3, 5, 7, 9, ...
If the first consecutive odd integer is represented by x, which algebraic expression represents the second
consecutive odd integer?
____
Which expression represents the third consecutive odd integer?
____
The answers are
X+2
X+4
Answer:
1.) x+2
2.) x+4
Step-by-step explanation:
I got it right on Edge, hope this helps
The expression represents the second consecutive odd integer is X + 2
and for the third consecutive odd integer is X + 4.
What are integers?All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a set of integers is formed.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
Given One example of consecutive odd integers would be 3, 5, 7, 9, ...
the difference between 2 consecutive numbers is
5 - 3 = 2
when X is the first odd integer,
the second consecutive odd integer is X + 2
difference between 3rd and first digit is
7 - 3 = 4
the third consecutive odd integer is X + 4
Hence adding the consecutive even numbers to the first digit of odd numbers gives the consecutive odd numbers.
Learn more about integers;
https://brainly.com/question/844441
#SPJ6
Solve the equation x + x² = 132 using a trial and improvement method. You MUST show all your working.
Step-by-step explanation:
since it is a quadratic equation, we know it must have 2 solutions.
132 is a bit larger than 10².
so, let's try x = 10 :
10 + 10² = 132
10 + 100 = 132
110 = 132
not correct, but close.
the real solution must be a bit larger than x = 10.
we know, that 12² = 144. that is already too large (as the sum with x must be only 132).
so, let's try x = 11
11 + 11² = 132
11 + 121 = 132
132 = 132
correct !
so, x = 11 is one solution.
for the second solution, it is very often that it has the opposite sign to the first solution, but its absolute value is relatively close to the first solution.
so, when thinking negative values, x² has to go higher than 132, so that x (with its negative value) can bring it back down to 132.
what we just thought about +12 might have some merit for -12.
let's try x = -12 :
-12 + (-12)² = 132
-12 + 144 = 132
132 = 132
correct !
so, x = -12 is the second solution.
summary :
x = 11
x = -12
are the 2 solutions.
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
Learn more about Moving average here: https://brainly.com/question/28495879
#SPJ11
Write parametric equations of the line \(-4x+y=-2\)
a. \(x=t, y=4t-2\)
b. \(x=t, y=-4t-2\)
c. \(x=t, y=4t+2\)
d. \(x=t, y=-4t+2\)
Answer:
Option a
Step-by-step explanation:
Assign a value to variable x =t
Eq becomes
-4t+y=-2
y=4t-2
Perform the indicated operation, and write the answer in lowest terms.
−16/5 ⋅ (−15/56)
Answer:
6/7
Step-by-step explanation:
First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.