The cheerleaders want to raise money to go to camp, so they decide to sell spirit ribbons. They will earn 50¢ for each ribbon that they sell. However, they have to purchase the ribbons first for a total cost of $75. Use the table below to figure their total profit from selling ribbons.
What is the total profit after selling 0 ribbons?
Answers
Using a linear function, we have that:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, when x increases by 10, the profit increases by 5, hence the slope is:
m = 5/10 = 0.5.
Then:
P(x) = 0.5x + b.
When x = 10, P(x) = -70, hence:
-70 = 0.5(10) + b
b = -75.
Hence:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Related Questions
Determine whether the system is consistent. x1 x2 x3 = 7 x1 - x2 2x3 = 7 2x1 3x3 = 15
Answers
The given system is not consistent.
Given system of equations are:
[tex]x_1+x_2+x_3=7\\x_1-x_2+2x_3=7\\2x_1+3x_3=15[/tex]
Here the indeterminants are [tex]x_1,x_2,x_3[/tex]. A system of equations is consistent if it has at least one set of solution values for the indeterminants.
So we try to solve the above system of equations.
Subtracting the first two solutions, we get,
[tex](x_1+x_2+x_3)-(x_1-x_2+2x_3)= 0[/tex]
⇒ [tex]2x_2-x_3=0[/tex]
⇒ [tex]x_3=2x_2[/tex]
Rewriting all the three equations using this substitution,
[tex]x_1+x_2+2x_2=7\\x_1-x_2+4x_2=7\\2x_1+6x_2=15[/tex]
This implies,
[tex]x_1+3x_2=7\\x_1+3x_2=7\\2x_1+6x_2=15[/tex]
Since the first two equations are same, we need to solve the equations,
[tex]x_1+3x_2=7\\2x_1+6x_2=15[/tex]
Multiplying the first equation by 2 and then subtracting, we get,
0 = -1, which is impossible.
So the system has no solutions.
Hence the system is inconsistent.
Learn more about consistent system of equations at https://brainly.com/question/19282045
#SPJ4
Which set of values contains no integers?
A. {-5, 9/3, 7.2}
B. {2.2361, 4, 7.8}
C. {-12, -3.33, 2.6458}
D. {-23/5, 2.4495, 5.1}
Answers
Answer:
D
Step-by-step explanation:
Integers found in:
A: -5, 9/3 = 3
B: 4
C: -12
Hope this helped! ^^
characteristics of a number may be positive negative or always zero
Answers
Answer:
There is nothing positive or negative about zero. Zero is just zero. It is NEITHER positive NOR negative. To the right of zero on number line are positive numbers and on the left of zero, lie the negative numbers on the number line.
Answer:
Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and located to the left of 0 on a number line. The number zero is neither positive nor negative.
Using the protractor tool on the right, choose the image that represents an angle that is 100°.
Answers
Answer:
If I'm right it should be B.
Step-by-step explanation:
I looked it up
Match the mathematical expression with its translation.
1 .
x divided by y
6 x = y
2 .
the product of two numbers
x + y = 6
3 .
x subtracted from y
4 .
the sum of two numbers is six
x + y
5 .
the product of two numbers is six
x - y
6 .
x minus y
y = x - 6
7 .
the sum of x and y
xy
8 .
six times a number equals y
y ÷ x
9 .
y divided by x
y - x
10 .
six less than a number is y
xy = 6 HELP...
Answers
Answer:
x divided by y - x/y
the product of two numbers - xy
x subtracted from y - y-x
the sum of two numbers is six - x+y=6
the product of two numbers is six - xy=6
x minus y - x-y
the sum of x and y - x+y
six times a number equals y - 6x=y
y divided by x - y divided by x
six less than a number is y - y=x-6
Step-by-step explanation:
Find the volume of the solid.
Answers
Answer:
15.75
Step-by-step explanation:
1/2 * b*h*l
1/2 * 4.5 * 3.5 * 2
Answer:
10.5
Step-by-step explanation:
Firstly, you must multiply the length and width of the rectangular base to get its area.
Then, you certainly must multiply the base area with the height of the pyramid.
Last but not least, divide the result from step 2 by three, and you will get the volume of a rectangular pyramid.
Evaluate the expression for X=6 y= -1 4x + 5y
Answers
We know the value of x and y,
x = 6 and y = -1 [Given]
Substitute the value,
4x + 5y4(6) + 5(-1)24 + (-5)24 - 519 Ans.The following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 what is the median?
Answers
The median of all these numbers in dollars is 7.5.
How to obtain median when no. of given data are odd ?When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.
According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.
First we observe that no. of people is even so there will be two middle nos.
Now lets arrange these nos. in an order from least to greatest which is
1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.
So, to find the median of all these nos. we will divide these two middle nos. by 2.
∴ ( 7 + 8 )/2
= 15/2
= 7.5.
Learn more about median here :
https://brainly.com/question/28060453
#SPJ4
PLS PLS PLS PLS PLS PLS
Answers
Answer:
D. (-2, -8)
Step-by-step explanation:
y = 3x - 2
y = 5x + 2
The solution to these system of equations is the point where the lines intersect.
These lines intersect at (-2, -8)
7. Charlotte needs to order thread to sew buttons onto marching band uniforms.
A 400-yard spool of thread is sold for $5.
• Each uniform needs 50 buttons.
There are 100 uniforms that need buttons.
• Each button requires of a yard of thread.
How much money should Charlotte ask for in the budget to spend on thread?
Answers
Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:
50 x 100 = 5000.
Each button requires of a yard of thread, hence the number of yards needed is:
5000 x 1 = 5000 yards.
A 400-yard spool of thread is sold for $5, hence the budget needed is:
(5000/400) x 5 = $62.5.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. salma wants to rent a car, knowing that: she plans to drive 275 miles. she has at most $140 to spend
Answers
Salma can rent the car for at most 5 days while driving 275 miles
Although part of your question is missing, you might be referring to this full question: A rental car company charges $22.50 per day to rent a car and $0.10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend. Write and solve an inequality which can be used to determine, the number of days Salma can afford to rent the car while staying within her budget
The equation which addresses this problem is:
22.5x + 0.10(275) <=140
Let x be the number of days Salma can afford to rent the car
Per day rent of the car = $22.5
Cost per mile = $0.10
Plan to drive = 275 miles
Budget with Salma = $140
Equation:
22.5x + 0.10(275) <= 140
Solving the equation we get x <= 5
So, Salma can rent the car for at most 5 days while driving 275 miles
Learn more about inequality:
https://brainly.com/question/20383699
#SPJ4
Help please I don’t understand it What is the sum of these questions?
1.X - 10=-9
2.X + 10 = -3
3.x- 3 = 4
4. x / 5 =2
5.22= -11k
6.-13m = -377
7.b - 7= -1
8.-8 = p - 13
9.-40 = -5p
10.-2 = m / 16
Answers
I need some help since I don't comprehend what you're asking.
1. A(x) = (f(x)-f(a)) / (x-a) This average rate of change function is called A. The function f's input is represented by x minus a, while the function f's response to the input changing from a to x is represented by f(x) minus f(a).
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 from the table.
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x²+6x)/(2x²+13x+1)
Using the numbers shown in the table, x = 4,5,6,7,8,9 and f(x) = 88,85,155,116,180,151,238.190,304,233,378.280
3. f(x)=x2-6x+8, g(x)=x-2, x2-6x-x+8+2=0, x2-7x+10=0 f(x)=g(x)x2-6x+8=x-2x2-6x-x+8+2=0
x₁,₂=(7⁺₋√(7²-4*10))/2=(7⁺₋3)/2 x₁=5, x₂=2
Because 2 doesn't appear in the table of values, the answer using the table of values is x=5.
To learn more about average rate visit : https://brainly.com/question/8061202
#SPJ9
PLEASE PLEASE ANSWER QUICK
What is the domain of the relation?
Answers
The picnic shelter must be at least overline 10 feet from any edge of the park. On graph paper with the distance between grid lines representing 10 feet, a city engineer makes a scale drawing of the park, as shown below. The region where the picnic shelter CANNOT be built is shown shaded. The corners of both the park and the region where the picnic shelter may be built are at the intersections of grid lines. The corners of the picnic shelter must also be at the intersections of grid lines. How many different locations in the park are possible for the placement of the picnic shelter?
Answers
Answer:
52
Step-by-step explanation:
since the shaded region is an exclusive counting the grid between 13*4 gives 52
We can see here that the number of locations in the park that are possible for the placement of the picnic shelter is C. 52
What is graph paper?Graph paper, also known as grid paper or coordinate paper, is a type of paper that has a grid of equally spaced horizontal and vertical lines drawn on it. The lines form a pattern of squares or rectangles, which facilitates drawing graphs, charts, diagrams, and geometric shapes with precision.
We can see here that multiplying the length and breadth of the picnic shelter using the unshaded boxes, we have:
13 × 4 = 52
Learn more about graph on https://brainly.com/question/29168204
#SPJ2
ƒ(x) = −4x² + 10x + 13
Find f(7)
Answers
Answer:
-113
Step-by-step explanation:
Plug in 7 for x and you get -4(7)² + 10(7) + 13
7² = 49 so -4(49) = -196
10(7) = 70
Add them all up and you get -113 (-196 + 70 + 13 = -113)
2(6-9)-31 helpppppppppppppppp
Answers
Answer: -37
Step-by-step explanation:
Use order of operations
2(6-9)-31
2(-3)-31
-6-31
= -37
Please help I have no idea
Answers
Answer: a=5
Step-by-step explanation:
-4(7a+5)=-160
-28a-20=-160
-28a-20+20=-160+20
-28a=-140
a=5
|−9| − |−5| i hate next gen but help pls
Answers
Answer:
4
Step-by-step explanation:
[tex]\mathrm{-9 = 9, -5 = 5,\:because\:they\:are\:in\:absolute\:value}\\9 - 5 = 4[/tex]
Answer:
-4
Step-by-step explanation:
−9 − (−5)
Multiply
−1 by −5.
−9 + 5
Add
−9 and 5.
you get...
−4
M
80.7°
Solve x
29°
N
Answers
Answer:
So what's M and N?
Step-by-step explanation:
Rachel has 15 markers. She gives 4 markers to
Jordan and 3 markers to Chris.
How many markers does Rachel have now?
Answers
The answer is 8 markers
Step-by-step explanation:
Since all children are collecting markers from Rachel who has 15 markers, the equation will be:
Markers Left = 15 - 4- 3
Markers Left = 11 - 3
Markers Left = 8
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is _____ sampling.
Answers
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.
What is systematic sampling?Systematic sampling is a statistical method used in survey methodology that involves selecting elements from an ordered sampling frame. An equiprobability method is the most common type of systematic sampling. The list is traversed in a circular fashion in this approach, with a return to the top once the end of the list is reached. Systematic sampling is a probability sampling method in which we randomly select one of the first k elements and then select every kth element after that. Using this method, each element in the population has a known and equal chance of being selected (also known as Epsem). As a result, systematic sampling is functionally equivalent to simple random sampling (SRS).Therefore, a probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.
Know more about systematic sampling here:
https://brainly.com/question/21100042
#SPJ4
The parent graph for a linear function and an absolute value function are shown below. Compare and contrast the two functions. Please include information about the characteristics of each graph, including, but not limited to domain/range, shape of the graph, etc.
Answers
From the left, the first graph's characteristics is as follows
v shaped representing two straight line graphIt has two slopes, one is negative the other is positive slopeThe intercept is 0The domain is - 10 to 10The range is - 10 to 10The graph passed through the originThe second graph characteristics is as follows
The shape represents a single straight line graphThe graph has one positive slopeThe intercept is zeroThe domain is - 10 to 10The range is - 10 to 10This graph passed through the originWhat is a graph?A graph is a pictorial representation of values used in data presentation. A graph is very useful in research as the values can help show the relationship between the data obtained. Graphs can also be used to predict events and can have multiple other uses depending on the type of graph and the nature of data plotted.
A graph has so many features that varies by the type of graph and the information it is representing. The graph treated here is a straight line graph and the equation is: y = mx + c
where m is the slope , and c is the intercept
Read more on graphs here: https://brainly.com/question/19040584
#SPJ1
Simplify (9-2a)-(4+3a)
Answers
Answer:
subtract the numbers[tex]9 - 4 =5 = -5a + 5[/tex]
Step-by-step explanation:
( a ) = a
( 9 - 2a ) = 9 - 2a
= 9 - 2a - 4 -3a
- (a + b ) = -a -b
-( 4 + 3a ) = -4 - 3a
= - 2a - 3a + 9 - 4
- 2a - 3a = - 5a = -5a + 9 - 4
give me a thanks
HELP PLEASE ILL GIVE U 100 POINTS PLS HELP AND THE LAST ONE IS 20
Answers
Answer:
20
Step-by-step explanation:
What is the classification for this polynomial?
-4a³b5 + 3a²
A. monomial
B. binomial
C. trinomial
Answers
It's been a while but I think binomial. There are two nonzero terms, -4a3b5, and 3a2, making it a binomial.
-2/-5+4/3 .,,,,,,,, nr
P
Answers
Answer:
1.73 repeated
Step-by-step explanation:
What is 7[2.5 + 3(12 - 7)] and can you please show me how to do it
Answers
Answer: 122.5
Step-by-step explanation:
First, you have to do the distributive property for all numbers. In order to do that, you must first combine like terms.
Combining like terms are numbers that are in the parenthesis that don't have an exponent, variable, etc. In this case, you would combine 12 and -7 since they are in the same parenthesis case. 12-7 would be 5. Now, you have 7[2.5] + 3(5)]
Next, you use PEMDAS which means multiplication (parenthesis) is next which means you multiply 3 and 5. 3x5 - 15.
After that, you combine like terms again with the 2.5 and the 15 since the 15 is now out of the parenthesis. 2.5 + 15 = 17.5
Finally, you take the 7 and multiply that by 17.5 now that you have those 2 numbers left and they are in the brackets. 17.5x7 is 122.5!
However, if there is a variable to solve for, then the answer would be none/no solution because both sides are not equal.
Shaneya purchased a membership to play basketball at her local gym. The membership costs $150 for the year, plus she pays $2 to rent equipment each time she goes. If Shaneya doesn't want to spend any more than $300 on basketball for the year, what is the maximum amount of times can she go to the gym to play?
Answers
Answer: maximum amount: 75 times a year
Step-by-step explanation:
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
-6 -4-2
6
A
2
-2
-4
-6-
y
2
4
6
→
X
What is true about the domain and range of the function?
The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 ≤x≤
1.
The domain is all real numbers such that -3 ≤ x ≤ 1,
and the range is all real numbers less than or equal to
4.
The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
The domain is all real numbers less than or equal to
4, and the range is all real numbers.
Answers
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.
Reset Next
Answers
Answer: it is .
Step-by-step explanation:
Rita and Tina each make $11 an hour -> 11r for Rita and 11t for Tina in the week
Rita also worked overtime hours and got paid an extra $32 -> Rita and Tina's total weekly wages can be represented as 11r + 11t + $32 (or 11(r+t) + 32)
