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
of the 400 employees,5% of them managers.How many managers does the zoo employ?
Answer:
20 of them are managers
Step-by-step explanation:
Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05
400 x 0.05 (multiplying it will just increase your answer) and you will get 20
To check it
20/5% or 0.05 = 400
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answer: 5 kilometers.
Step-by-step explanation:
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
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
4x + 7 = 6x + 4. what is this answer step by step?
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
please answer , thank you in advance to whoever does !!!!
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
534 divided by 43. Please help..
Answer:
Step-by-step explanation:
The numbers in the fraction cannot be reduced to create a simplified fraction. Therefore there are 3 ways to write this answer ...
1) [tex]\frac{534}{43}[/tex]
2) 12[tex]\frac{18}{43}[/tex]
3) 12.41861
When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
Given the two similar triangles below, which proportion is true?
Answer:
B) 10/15 = 15/22.5
Step-by-step explanation:
For the two triangles, proportions that involve ratios of the corresponding sides are true.
Can someone help me with this plis
Answer:
it is c
Step-by-step explanation:
I NEED HELP ASP AHH
I need help on number 5 and 8
This is for geometry
number 5 and 8 are rhe blank ones
#5:
Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.
(4x + 23) + (9x - 38) = 180
13x - 15 = 180
13x = 195
x = 15
Now that we have x, we can solve for y. Alternate interior angles are congruent.
(4x + 23) = (21y - 1)
4(15) + 23 = 21y - 1
60 + 23 = 21y - 1
83 = 21y - 1
84 = 21y
y = 4
#8:
Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.
10x = 13x - 33
-3x = -33
x = 11
Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.
Supplement = 180 - 10x
Supplement = 180 - 10(11)
Supplement = 180 - 110
Supplement = 70
Supplement = 5y
70 = 5y
y = 14
Hope this helps! :)
- #5 -
y = 4
[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:
4x + 23 + 9x - 38 = 180
13x - 15 = 180
13x = 195
x = 15
[] Now we will plug-in and solve for one of them
9x - 38
9(15) - 38
135 - 38 = 97
[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:
97 + 21y - 1 = 180
96 + 21y = 180
21y = 84
y = 4
- #8 -
y = 14
[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:
13x - 33 = 10x
-33 = -3x
11 = x
[] Plug-in and solve for one of them
10x = 10(11) = 110
[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve
110 + 5y = 180
5y = 70
14
- See attached for where I am pulling numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
(Help me please!!)
Write the equation of each linear relationship in slope-intercept form. (Convert the slope to decimal form.)
X: 25, 35, 45, 55
Y: 94. 88, 82, 76
Answer:
y = -0.6x +109
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (88 -94)/(35 -25) = -6/10 = -0.6
The y-intercept is ...
b = y -mx = 94 -(-0.6)(25) = 109
The equation of the line is ...
y = mx +b
y = -0.6x +109
HELPPPPPPOOOO SHOW WORKING ALSO THANKS
Step-by-step explanation:
I have explained that in the sheet
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°
Answer:
sine 70 = opposite / hypotenuse
sine 70 = 12 / x
x = 12 / sine 70
x = 12 / 0.93969
x = 12.7701688855 cm
x = 12.8 cm (rounded to nearest tenth.
Step-by-step explanation:
which is equivalent to 2^-3/2^2
Answer:
[tex]1/32[/tex]
Step-by-step explanation:
To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.
Example I would like to find out [tex]2^{-2}[/tex],
You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]
Which would be 0.25 or 1/4
Lets apply this knowledge to the following question:
1. [tex]2^{-3} / 2^{2}[/tex]
2. [tex]\frac{1}{8} / 4[/tex]
3. [tex]1/32[/tex]
Use the correct order of operations to solve the problem below.
26 - (5 + 4) - 20 ÷ 4
Answer:
15
Step-by-step explanation:
To solve this question we will be using BIDMAS.
This stands for, Brackets, indices, division, multiplication, addition and subtraction.
As brackets is first, we need to do 5+4, to get 9.
This gives us 26-9-20 divide 4
Next is division so we do 20 divide by 4, to get 5.
This gives us 29-9-5
So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
Can someone help me with this x / 12 = -8
X/12 = -8
Solve for x by multiplying both sides by 12
X = -96
Answer:
X=12*-8-----> X= -96. multiply 12 by -8
3q+3.97=7.57 please help im stuck on ixl
Answer:
1.2
Step-by-step explanation:
3q+3.97=7.57
3q=7.57-3.97
3q=3.6
q=3.6/3
q=1.2
reciprocal of 2 3/11
Answer:
11/25
Step-by-step explanation:
Reciprocal is the fraction flipped
Please help me solve this much appreciated
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
the answer of the question is 4
Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?
29 Nickels
15 Dimes
Hope this is helpful!
Simplify x⁷y⁹ ÷ x³y⁶
In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
Help me plz I would really appreciate it!
[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
3.75
Word form
please help
Answer:
three and seventy-five hundredths or three point seven five
Step-by-step explanation:
Pls help! And USE QUADRATIC FORMULA
Answer:
the answer is A
Step-by-step explanation:
1. y=3x^2-2x-2
0=3x^×-2x-2
2. 3x^2-2x-2=0
[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]
3.
[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]
4.
[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]
5.
[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]