Answers
Let f, s, and t denote the hours needed by the first, second, and third sellers, respectively, to sell a given plant.
"In one hour, the first grower sells 3 fly traps … The second grower sells 1 fly trap … The third grower sells 3 fly traps …" - this means that for each hour f, the first grower sells a total of 3f fly traps. Similarly, the second grower sells 1s fly traps, and the third grower sells 3t fly traps. Together, they want to sell 39 fly traps, so that
3f + s + 3t = 39
You set up two more equations for the sundews and bladderworts:
f + 2s + 2t = 30
2f + s + 2t = 28
Now write the system of equations in augmented matrix form and row reduce it:
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\1&2&2&30\\2&1&2&28\end{array}\right][/tex]
Add row 1 to -3 (row 2); this is to say, treating each row as a list, multiply through the second row by -3, then add the first row to that result. For example,
(3, 1, 3, 39) + -3 (1, 2, 2, 30) = (3, 1, 3, 39) + (-3, -6, -6, -90)
… = (3 - 3, 1 - 6, 3 - 6, 39 - 90)
… = (0, -5, -3, -51)
Also, add 2 (row 1) to -3 (row 3) :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&-5&-3&-51\\0&-1&0&-6\end{array}\right][/tex]
Multiply through the last two rows by -1 to make everything positive, and swap them around:
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&5&3&51\end{array}\right][/tex]
Next, add -5 (row 2) to row 3 :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&3&21\end{array}\right][/tex]
Multiply through row 3 by 1/3 :
[tex]\left[\begin{array}{ccc|c}3&1&3&39\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
Add -1 (row 2) and -3 (row 3) to row 1 :
[tex]\left[\begin{array}{ccc|c}3&0&0&12\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
Multiply through row 1 by 1/3 :
[tex]\left[\begin{array}{ccc|c}1&0&0&4\\0&1&0&6\\0&0&1&7\end{array}\right][/tex]
This row-reduced matrix tells you that f = 4, s = 6, and t = 7. In other words, in order for the three growers to collectively sell the required number of plants, the first seller needs to work for 4 hours, the second seller needs to work for 6 hours, and the third seller needs to work for 7 hours.
Related Questions
(640F - 32 ) x 5/9
*640 Fahrenheit*
Step by step please!! <3
Answers
Answer:
160/9 or approx 17.78
Step-by-step explanation:
64-32=32
(32*5)/9
160/9 or approx 17.78
(640F - 32) x 5/9 = (640F - 89.6F) x 5/9 = 2752/9F
Use what you've learned to write the equation of a parabola that is narrower than y = x ,
2
opens downward, and has vertex (2, – 4).
Answers
Answer:
y = -a(x – 2)² – 4
a > 1
Example:
y = -2(x – 2)² – 4
Step-by-step explanation:
y = a(x – h)² + k
____________________
vetex: (h, k)
a: vertical reflection or stretch/compression
__________________________________
If it opens downward, has a vertex of (2, -4) and is narrower than y = x².
Then x² will have a negative coefficient of less than -1 and the input of x will be subtracted by the x value of the vertex which is 2, and the output will be added by the y value of the vertex which is -4.
Therefore y = -a(x – 2)² – 4 where a > 1
What is the y-value of the vertex of the function f(x)=-(×+8)(x-14)?
Answers
Will mark brainliest and If you give explanation
Answers
Answer:
[tex]\frac{17}{20}[/tex]
Step-by-step explanation:
-What could be concluded if the relative frequency of an event is equal to 0?
Answers
Answer: If the frequency is 0, it does not repeat.
Step-by-step explanation: A relative frequency table is a chart that shows the popularity or mode of a certain type of data based on the population sampled. When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.
find the solution to this system 5x - 2y = -11 -2x + 5y = 17 to create x coefficients that are additive inverses equation 1 can be multiplyed by
Answers
Answer:
A term can be a constant or a variable or both in an expression. ... Understanding how to solve math problems becomes easier as one learns ... Additive inverse The opposite of a number or its negative. ... The numbers a, b, and c are the coefficients of the equation and may be ... The arithmetic mean, denoted x, of a set of.
Step-by-step explanation:
Pls help
Pls help
Pls help
Answers
Answer:
x=180-(31+40)
I need help please!!!!!!
Answers
Answer: The Answer is 11.
Step-by-step explanation: You line up the least to the greatest so in this case, 8, 6 , 10 , 13 , 14 , and 15, and than you divide that amount by however many numbers there are you are working with. Which would be 6. When all divided and done, it is all equal to 11
What is the sum of the interior angles of the polygon pictured below?
Answers
Answer:
360°
explanation:
the sum of interior angles of all quadrilaterals (polygons with four sides) is 360°. If you put a pen at any of the four corners and try to draw a line to any other corner, you'll find you can only make two triangles. And since the angle sum of triangles is 180°, 180 times 2 = 360
PLEASE HELP ASAP
P(-5, 2), Q(4, 5), R(6, – 1), S(-3, -4)
this is a rectangle right and why is it and not rhombus or square?
Answers
Answer:
It's a rectangle, but not a rhombus (or square).
Step-by-step explanation:
Let's see the vectors of each next vertex:
[tex]Q - P = (4, 5) - (-5, 2) = (9, 3)\\R - Q = (6, -1) - (4, 5) = (2, -6)\\S - R = (-3, -4) - (6, -1) = (-9, -3)\\P - S = (-5, 2) - (-3, -4) = (-2, 6)\\[/tex]
Firstly, we can notice that it's a parallelogram - because the Q-P side is parallel to the S - R side (if the x:y ratios are the same, the sides are parallel).
A rhombus needs the sides to be of the same length. But the length of a (x, y) vector is [tex]\sqrt{x^2 + y^2}[/tex] and [tex]\sqrt{9^2 + 3^2} > \sqrt{2^2 + (-6)^2}[/tex], we don't even have to compute it exactly. If it's not a rhombus, it's also not a square (every square is a rhombus).
The last thing left is to know if it's a rectangle - for it to be a rectangle, we need to check if the vectors are perpendicular.
We can compute the dot product of the vectors - perpendicular vectors always have a dot product equal to zero. The dot product of two vectors [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is equal to [tex]x_1x_2 + y_1y_2[/tex].
[tex](9, 3) \cdot (2, -6) = 9\cdot 2 + 3\cdot(-6) = 18 - 18 = 0[/tex]
So the sides are perpendicular, and as such - the figure is a rectangle.
The circumference of a circular field is 191.54 yards. What is the radius of the field? Use 3.14 for Pi and do not round your answer.
Answers
Answer:
C = 2πr
191.64 = 2 × 3.14 × r
r = 191.64/6.28
r = 30.51 yds
PLEASE JUST HELP MEE :(
angle relationships in triangles...
Answers
Help ca't find the aswer
Answers
Answer:
Step-by-step explanation:
Answer:
Is
[tex] - 5[/tex]
Step-by-step explanation:
(n÷3)-5= -5
OK THIS IS NOT LIKE A SCHOOL QUESTION. But I play softball and I have long acrylic am i gonna
Get like kicked off the team or like in trouble for having them..?
Answers
Answer:
I don't know but if it feels like you shouldn't be doing it then don't
Step-by-step explanation:
Answer:
You won't get in huge trouble but it probably wouldn't be the smartest thing to have them. if you think you can play good with them then you are fine! you should double check with the coach, because every school or team has different rules!
You are a first year police officer in Swanton, Ohio.
You are earning a monthly
salary of $4718.
Next year you will be given a raise to $62147 annually.
How much more per month will you earn your second year?
Answers
Answer:
$460.92
Step-by-step explanation:
First year monthly salary = $4,718
Second year annual salary = $62,147
Second year monthly salary = Annual salary / 12
= $62,147 / 12
= $5,178.92
How much more per month will you earn your second year?
Amount of increase in second year monthly salary = Second year monthly salary - First year monthly salary
= $5,178.92 - $4,718
= $460.92
Write the number in standard form.
5 x 10^2
Answers
Answer:
500 would be the answer of this question but it is also the standard form of this question
Please answer NO LINKS PLEASE
Answers
Answer:
123.38
36+54+11.69+11.69
Make sure to round
The senior class of a high school needs to decide where to go for their senior trip. They have four choices: A cruise, a camping trip, a snorkeling trip, or to the Great Wall of China. Due to budget constraints they cannot survey all 800 people in the senior class so they randomly select 150 people from the class and ask them their preference. The table shows the results. Using the sample results, estimate the proportion of the entire population that would like to go camping in the Tetons.Using the sample results, estimate the proportion of the entire population that would like to go camping in the Tetons.
A) 0.03
B) 0.14
C) 0.27
D) 0.55
Answers
Answer: D) 0.55
Step-by-step explanation: good luck
Answer:
D) 0.55
Step-by-step explanation:
I got it correct on USATP.
Hope this helps!
From: Aug1e
Simplify.
-a + 6b - a + 8b - a + 10b
2x to the power of 2 + 4x + 7 + 3x to the power of 2 - 2x - 6
Answers
Answer:
1) -3a + 24b
2) 5x^2 + 2x +1
Step-by-step explanation:
1) (-a + -a+ -a) + (6b + 8b + 10b)
(-3a) + (24b)
-3a + 24b
2) (2x^2 + 3x^2) + (4x - 2x) + (7-6)
(5x^2) + (2x) + ( 1 )
5x^2 + 2x + 1
Answer:
the other guy is correct
Step-by-step explanation:
mark him brainliest!! or me it does'nt matter
Can someone help me!!??
Answers
Answer:
I think the answer is C.
Step-by-step explanation:
A triangle inside always has to add up to 180. So of you subtract 78 and 41 from 180 it wil give you 61
Help ASAP ASAP please please help please please ASAP please easy question huryyyyyyy
Answers
Please find the attached photograph for your answer
Pl help it’s for a grade
Answers
Step-by-step explanation:
Given,
1. The given expression is [tex]\sqrt[10]{x^9}[/tex].
We need to write it into exponential form.
We know that,
[tex]\sqrt[a]{x} =x^{1/a}[/tex]
Here, a = 10
So,
[tex]\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}[/tex]
2.
[tex](\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}[/tex]
Hence, this is the required solution.
3√-64/125 evaluate -4/5 -825 8/25 4/5
Answers
Answer:
a
Step-by-step explanation:
3rd root of 64=4
3rd root of 125=5
=-4/5 since there's a negative inside
Will give extra points if you get it right <3
Add or subtract the given polynomials. Be sure to show all steps
(9x2 + 3x – 5) + (8x2 – x + 2)
Answers
Answer:
17x² + 2x – 3
Step-by-step explanation:
(9x2 + 3x – 5) + (8x2 – x + 2) →
(9x² + 3x – 5) + (8x² – x + 2) →
[Group like terms]
(9x² + 8x²) + (3x – x) + (2 – 5) →
[Simplify]
17x² + 2x – 3
Compare investing $1500 at 9% compounded monthly for 11 years with investing $1500 at 14% compounded monthly for 11 years.
Answers
Answer:
Final amount after 11 years = $4021.97
Step-by-step explanation:
We will use the formula to get the final amount after t years,
Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]
here a = Initial amount
r = Rate of interest
n = Number of compounding in a year
For Initial amount 'a' = $1500
r = 9%
t = 11 years
n = 12 [Compounded monthly]
F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]
= $4021.97
Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)
Answers
Answer:
x²+y² = 64
Step-by-step explanation:
The standard form of writing the equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given the diameter of the circle with endpoints (8,0) and (-8, 0)
d = √(x2-x1)²+(y2-y1)²
d = √(-8-8)²+(0-0)²
d = √(-16)²
d = √256
d = 16
radius r = 16/2
r = 8
The centre of the circle will be the midpoint of the coordinates
M = (8-8/2, 0+0/2)
M = (0/2, 0/2)
M = (0,0)
Hence the centre is at (0,0)
Get the required equation
Recall that (x-a)²+(y-b)² = r²
Substitute the centre and the radius
(x-0)²+(y-0)² = 8²
x²+y² = 64
This gives the required equation
those are 25 men on the roster of the base ball team three are cattchers 8 are infelids 6 are outsiders and the remainder are pitchers what is the probability that out of two players chosen at random that they would be the pitcher and an inf eiders
Answers
Answer:
1/115
Step-by-step explanation:
there are 25 players on the team (10+6+9)
there are 6 infielders
They are picking without replacement
6/25 * 5/24 * 4/23
rearranging
6*4/24 *5/25 *1/23
1 *1/5 *1/23
1/115
Answer: 1/115
Dave owns 1/4 of a business. Delta owns 1/5 and Alice owns 1/2. The banks owns the rest. Who owns the smallest portion on the business? What fraction of the business does the bank own?
Answers
Answer: bank owns smallest portion 1/20
Step-by-step explanation: Dave 1/4= 0.25 = 25 %. Delta 1/5 = 0.20 = 20%
And Alice 1/2 = 0.5 =50%. Bank owns 5% = 5/100 = 1/20
There plz help me is my last question and assignment
Answers
Answer:
I believe Jamal is correct, because he is just doing it an easy way. Instead of converting the mixed number to an improper fraction he is adding the measurements step by step.
Hope it Helps!
:)
Calculate the volume of the prism shown below. 4 cm 2 cm 8 cm Answer: in cm 3
Answers
Answer: if you do length x width x height you should get 64 cm
Step-by-step explanation:
