Answer:
10 necklaces and 2 bracelets
Step-by-step explanation:
Each necklace sells for 10 dollars, at 9 dollrs each, that makes 90 dollars
That, combined with the 10 dollars the two bracelets would make her, would give the vendor 100 dollars in profit
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.
Working with the Equations
Work Separately
Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Comparing Students
Work Together
Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?
Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?
If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.
Karen begins charging $8 per hour for babysitting, and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?
Answer:
Seth:
Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen:
Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Part A: Converting it in function for by solving for y first.
Solving 7.50x + 15y = 750, equation we get
7.50x + 15y = 750
15y = -7.50x + 750
y = -1/2x + 50
Solving 6x + 4y = 700 for y, we get
6x + 4y = 700
4y = -6x + 700
y= -3/2x + 175.
On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.
If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.
Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.
In function form we could write equation as
f(x) = -1/2x + 50 and
f(x) = -3/2x + 175.
Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.
Therefore, Karen has greater y-intercept.
This means Karen earns $175 by just walking dogs.
Part C: If both students work 80 hours for the month.
Let us plug x =80 in each of the equations.
y = -1/2x + 50 => y = -1/2(80) + 50 = -40 +50 = $10.
Seth would earn $10 from mowing lawn.
Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.
y = -3/2x + 175 => y = -3/2(80) + 175 = -120 +175 = $55.
Karen would earn $50 from walking dog.
So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.
Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.
Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.
The equations would become : 8x + 15y = 750, 8x + 4y = 700.
It would not effect the graph much. Even the y-intercepts would remain same.
There would be a slightly change in slopes.
Step-by-step explanation:
Answer:
If you see this give him brainliest
Step-by-step explanation:
A truck moves 3 km in 30 min and and returns at same distance in 20 min find average speed
Answer:
Step-by-step explanation:
the truck mover 3 km one way, 3 km back, so he moves 6 km
one way the truck needs 30 min, on the way back 20 min
so we have 6 km in 50 min
v=distance/time
v one way=3km/30 min=0.1 km/min
v on the way back=3 km/20min=0.15 km/min
v average =0.1+0.15=0.125 km/min
or 7.5 km/hour
Giving brainliest to whoever answers first:)
Solve the equation 2 3 x -1 5 x = x - 1.
Answer:
Step-by-step explanation:
23x-15x=x-1
8x=x-1
7x=1
x=1/7
Write a function rule.
y is 9 less than the product of 8 and x.
Answer:
dumyemimynumifgmfdhum
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit
Answer: 40320
Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.
The number of ways for the children sit will be 40,320.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eight children sit together at story time.
And, Seven children sit in a circle and one child sits in the middle to tell the story.
Now,
Since, There are 8 students.
Hence, The number of ways for the children sit = 8!
= 40,320
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Can someone help me solve this for brainliest and a heart? Thank you!
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability of that child getting a green marble?
a) .66
b) .40
c) .33
d) . 10
Answer:
D homie
Step-by-step explanation:
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
Can someone help please I’ll give brainliest!
Answer: F.
Step-by-step explanation:
First we have to determine the common factor for all of them, which in this case is 11.75. Then we have to multiply that by 40 which gives us 470.
Please explain how to do this!!!!!
Answer:
The answer is D: y - 3 = -1/7 (x+3)
Step-by-step explanation:
Use elimination to solve each system of equations. 1. x + y = 4 x – y = 7
Answer:
Step-by-step explanation:
1(x+y=4)
-1(x-y=7)
x+y=4
-x+y=-7
x-x=4-x
-x=x=-7+x
4-x=-7+x
4-x-x=-7
4-2x=-7
-2x=-7-4
-2x/-2=-11/-2
x=5.5
Which graph represents the function below?
Answer:
It is A.
Step-by-step explanation:
Hope this helped have an amazing day!
What percentage is 26 out of 130?
Answer: 20%
I hope this helps, and Happy Holidays! :)
Answer:
20 percent
Step-by-step explanation:
26/130=0.2
multiply that by 100 equals 20
7 miles on 1/3 gallon of gas =
miles per gallon
Answer:
21 Miles per gallon
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
7*3
A. 2x+5=23
B. x+2+5=23
C. x+x+5=23
D. 5x+2=23
Answer:
b
Step-by-step explanation:
lucky guess
Answer:
your answer is A
Step-by-step explanation:
if you look at the amount of "x's " you have , you put them together and you will get 2x and you add 5 and your answer 23...
hopefully i was helpful
Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))
f−1(x)=____x+____=____
consider the equation 2,900=250+132.50T in this situation, what does the solution to this equation tell us?
Answer:
value of T = 20
Step-by-step explanation:
[tex]2900=250+132.50T\\2900-250=132.50T\\2650=132.50T\\2650/132.50=T\\20=T[/tex]
If this is the whole question so we can say that the value of T is 20 if there is more to the question than it help us tell what T signifies other than that it's just a plain value.
Anthony is rowing a boat upstream the following equation models his speed f(x)=3x^2-6x-13
Step-by-step explanation:
Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
D = b² - 4 a c
From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
An axis of symmetry of quadratic equation y = ax² + bx + c is :
Let us now tackle the problem!
Given:
f(x) = 3x² - 6x - 13
Asked:
Domain = ?
Solution:
Velocity is a vector quantity.
Vector quantity has magnitude and direction.
Directon of vector is represented by the sign of the quantity
If x is the velocity of the boat relative to land , then:
The value of x could be positive , negative or zero.
Answer:
Anthony is rowing a boat upstream. The following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. What is the domain of the function?
All real numbers
x ≥ 1
x ≤ −6
x ≥ −13
Step-by-step explanation:
it is a
Please help!!! what’s the answer ? :((
Answer:
B
Step-by-step explanation:
Because there parallel
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8
Answer:
[tex]y = x +7[/tex]
Step-by-step explanation:
Given
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
Perpendicular to [tex]y = -x + 14[/tex]
Required
Determine the line equation
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison with [tex]y = -x + 14[/tex]
[tex]m = -1[/tex]
Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists
[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]m_1 = \frac{-1}{-1}[/tex]
[tex]m_1 = 1[/tex]
The line equation is then calculated using:
[tex]y - y_1 = m_1(x - x_1)[/tex]
Where
[tex]m_1 = 1[/tex]
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]y - 11 = 1(x - 4)[/tex]
[tex]y - 11 = x - 4[/tex]
Add 11 to both sides
[tex]y - 11+11 = x - 4+11[/tex]
[tex]y = x - 4+11[/tex]
[tex]y = x +7[/tex]
The B, C and D parts of your question are not clear.
Apply the same steps used in (a) above and you'll get your answers
Will give crown thanks
Answer:
A is right
B is acute
C is obtuse
D is right
Step-by-step explanation:
90 is right
anything under 90 is acute
over 90 obtuse
Answer:
∠A: Right Angle.
∠B: Acute Angle.
∠C: Obtuse Angle.
∠D: Right Angle.
I hope this helped you
Yo can I get some help with this problem
Answer:
45
Step-by-step explanation:
this person posted the same question twice and I detailed on the other.
Rebecca is researching cruises in order to plan a vacation She records the length and total cost of different cruises in a table
Answer:
is there anymore to this problem
Refer to the table to answer the questions.
A 2-column table with 4 rows. Column 1 is labeled Decimal with entries A, B, C, D. Column 2 is labeled Fraction with entries one-half, five-ninths, StartFraction 5 over 90 EndFraction, StartFraction 11 over 20 EndFraction.
Which letter should be replaced with the repeating decimal 0.5?
A
B
C
D
Answer:
d
Step-by-step explanation:
d should be kept with it
Answer:
The correct answer is the letter D. :)
Step-by-step explanation:
Who is my Bestfriend
1). Oooga Booga
2). Oliva
3). Lilly
4.) Ashley
5). Doydoy TAMAIR
GET IT RIGHT OR POINTS OR BRAINLIEST!!!!!!
Answer:
5) DOY DOY TAMAIR
Step-by-step explanation:
IM TAMAIR YESSS
Answer:
Ooga booga
Step-by-step explanation:
Bc the name sounds cool.
He comprado 10 rotuladores que me han costado 8 euros cuento costara cada rotulador
Answer:
0,8 euros
Step-by-step explanation:
Según la pregunta, 10 rotuladores cuestan ocho euros.
Ahora si
10 rotuladores cuestan 8 euros
1 marcador cuesta 1/10* 8 = 0,8 euros
Por tanto, cada marcador me costó 0,8 euros
Ana Sofia performed a transformation on APQR. She
recorded her transformation and the location of Q' in the
table. Point Q of APQR is located at (-2,3). Complete the
table to determine the values of a and b that make the
algebraic descriptions of her transformation true.
Answer:
a= 6 b=4
Step-by-step explanation:
-2+6=4
3+4+7
A jet liner flying east with the wind traveled 2800 km in 4 hours 40 minutes. The return trip, flying against the wind, took 7 hours. Find the rate of the wind. *
Answer:
its pog
Step-by-step explanation:
Answer:
stop cheating on ur WRMS ALgebra 1 math test
Step-by-step explanation:
ik where u live
Ethan Planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown?
A. 1.85x= 5.30
B. 1.85+ x= 5.30
C. 1.85+ 5.30= x
D. 1.85 (5.30)= x
Answer:
x = B the answer is b
Step-by-step explanation:
What is 11/12 divided by 1/3?
Answer:
2.75
Step-by-step explanation:
Answer: 2 3/4
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
11/12×3/1=?
By multiplying this, you get 11/4. This simplifies to 2 3/4