We want to write and solve a system of equations to model the given situation.
The answers are:
A)
y = 50 + 4*x
y = 17 + 7*x
B) after 11 weeks.
C) 94 subscribers.
First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.
Then for Robin, we can write:
y = R(x) = 50 + 4*x
The equation that models the number of subscribers that Robin has at week x.
Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:
y = D(x) = 17 + 7*x
A) Then the system of equations is just:
y = 50 + 4*x
y = 17 + 7*x
B) Now we must solve the system.
Notice that in both equations we have y isolated, then we can write:
50 + 4*x = y = 17 + 7*x
50 + 4*x =17 + 7*x
Now we can solve this for x:
50 + 4*x =17 + 7*x
50 - 17 = 7*x - 4*x
33 = 3*x
33/3 = 11 = x
This means that at week 11 they will have the same number of subscribers.
C) To get this we just need to evaluate any one of the two linear equations in x = 11
D(11) = 17 + 7*11 = 94
Both of them will have 94 subscribers.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13984867
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
The measure of the fifth interior angle is 102 degrees.
A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.
In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from sum of interior angles in a polygon.
Fifth interior angle = 540 - (88 + 132 + 100 + 118)
= 540 - 438
= 102 degrees
Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515
Please help me with the following question:
Answer:
the answer to this problem is D: 180 + w-z
DOM
The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?
Answer:
4x^2-8x+244
Step-by-step explanation:
For health reasons, Amir wants to drink eight
glasses of water a day. He's already had six
glasses. What fraction of eight glasses does
Amir have left to drink?
A. 1/8
B.1/6
C. 1/4
D.1/3
what is pls help someone with the problem?2x + 3 = 9
Answer:
3
Step-by-step explanation:
2x+3=9
2x=9-3
2x=6
2 2
x=3
Answer: x = 3
Step-by-step explanation: 2x+ 3= 9
2x +3 -3 = 9 - 3
2x = 6
2x/2 = 6/2
x = 3
1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6
Answer:
I don't understand the question. Write it again & briefly.
Set up a proportion and solve for x.
1) If I can make up one test in 30 minutes, how long will it take me to make 11 tests?
Can you please help this is due tomorrow and it’s almost Christmas break:((
30x11 is 330.
300mins
Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u
Can someone please give me the (Answers) to this? ... please ...
Answer:
6:A
7;B
8;c
9;A
10:c
11;b
12:A
Answer:
6. Commander David Scott
7. They dropped at the same speed
8. Scale (I think)
9. B
10. True
11. Gravity (not sure)
12. C
17. Weaker
18. Ellipsoid (also not sure)
19. Towards the Earth’s center
20. I don’t know this
21. Center
22. B
Step-by-step explanation:
Not sure about some of them (like 19 because it feels like it can have more than one answer) but yeah the others are self-explanatory
Pls answer only 16 and 19
Question 16:
[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.
That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]
[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]
[tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]
[tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]
So,
[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]
Compare coefficient
[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]
Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]
[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]
[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]
Ans: 8/5
Question 19:
[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]
Substitute x with -1
So,
[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]
Ans: -6
if it takes 10 people working at the same rate 5 hours to pick 300 apples, how many hours would it take 1 person to pick 300 apples
Answer:
50 hours
Step-by-step explanation:
10 times 5 is 50 so the answer is 50 hours
During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .
The price of the bed after the markup is $527.80.
The given parameters:
Discount = 30%Price of the bed, = $580Markup = 30%The price of the bed after the discount of 30% is calculated as follows;
P = $580 - 0.3($580)
P = $406
The price of the bed after the markup is calculated as follows;
P = $406 + 0.3(406)
P = $527.8
Thus, the price of the bed after the markup is $527.80.
Learn more about discount price here: https://brainly.com/question/23865811
need help gotta turn in at midnight
Answer:
c.
Step-by-step explanation:
If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.
Byron wants to sell the shells and makr a profit of 125%. What is 125% written as a fraction in lowest terms
Answer:
5/4
Step-by-step explanation:
125/100
(divide through by 25)
5/4
Jamie joined the marching band. To pay for a uniform, he borrowed $120 for 3 months with 6% interest per month. What was the total cost of Jamie’s uniform?
Answer:
$142.92
Step-by-step explanation:
120 * 1.06^3 = 142.92192
Please help me Find the slope please no links or bots please and thank you please actually help me please
Find 110% of 80 by writing the percent as a fraction
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
Pointing to a photograph, a man said, "I have no brother, and that man's father is my father's son." Whose photograph was it?
The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.
The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________
b) At what depth did they stop to look at the octopus? ______________________
Answer:
20 meters
Step-by-step explanation:
..................
Can someone please tell me the answer
(20 points)
Answer:
the aswer is B
Step-by-step explanation:
Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many bottles of hand sanitizer the students will use in 12 weeks?
12 x 3/4
12 + 3/4
12 - 3/4
12 divided by 3/4
Answer:
A. 12 x 3/4
Step-by-step explanation:
Answer:
12 x 3/4
Step-by-step explanation:
Every one week, there is 3/4 used, which is basic multiplication
My Science teacher is named Mrs. Doyle, lol
a building 270 feet tall casts a 40 foot long shadow. if a person looks down from the top of the building, what is the measure of the angle between the upper end of the shadow and the vertical side of the building to the nearest degree? (assume the person's eyes are level with the top of the building)
A. 81°
B. 8°
C. 9°
D. 82°
Answer:
A.
Step-by-step explanation:
Use tangent ratio
Answer:
A.
Step-by-step explanation:
Use tangent ratio
At a local college there are five women enrolled for every two men. (A) If there are 5,000 men enrolled how many women are enrolled? (B) What is the constant of proportionally in this situation?
Answer:
A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2
Step-by-step explanation:
find the sides marked with letters
Also explain how to solve it
Answer:
m = 10
Step-by-step explanation:
The triangles are similar. The scale factor is 15/9.
We multiply 6 by the scale factor and get m:
m = 6 * 15/9 = 10
Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.
a = 16,6 (circa)
What is 100 plus 300??????
Answer:
The answer is 400
Step-by-step explanation:
...........
Answer:
the answer is 400 darlin
Step-by-step explanation:
Arianna and Aryanna went out to lunch over the weekend. They decided to eat at the cheesecake factory in ridge hill. their bill came out to 40$. if they wanted to leave a 20% tip for there waitress how much will the tip be
Answer:
Step-by-step explanation:
First we need to find 20% of their bill-$40.
So we write a proportion with fractions.
20/100 = x/40
Then we cross multiply. So 40 and 20 will get multiplied, and 100 and x will get multiplied. We will get this:
800 = 100x
Divide both sides by 100 to solve this.
Then we will get:
$8 = x or x = $8
Now that we know 20% of the bill this will also represent the tip. Our tip is $8.
Please answer 1 and 2
Will mark brainliest!!!!
Answer:
parallelnot perpendicularStep-by-step explanation:
1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...
m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2
Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...
m = (8 -6)/(4 -0) = 2/4 = 1/2
The slopes of lines P and O are the same, so the lines are parallel.
__
2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...
m = (2 -6)/(2 -0) = -4/2 = -2
Points on line K appear to be (0, 4) and (10, 10). Its slope is ...
m = (10 -4)/(10 -0) = 6/10 = 3/5
If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.
i have questions up will mark brainliest
Answer:
what questions?
Step-by-step explanation:
Which problem will have the greater quotient, 376.0 divided by 93 OR 376 divided by 93.01?
Answer: The first option.
Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
Learn more about how to evaluate algebraic expressions here:
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please help 25 points
Answer:
jijijija
Step-by-step explanation:
Answer:
s = -52
Step-by-step explanation:
We assume you want to find the value of s.
[tex]\dfrac{12+s}{-20}=2\\\\12+s=-40\qquad\text{multiply by -20}\\\\\boxed{s=-52}\qquad\text{subtract 12}[/tex]