Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
Learn more about proportional relationships here;
https://brainly.com/question/24289972.
How do I solve this problem?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Short answer: to solve this problem, follow directions.
a. Write the inequalitiesLet c and p represent numbers of cakes and pies produced daily. Then the constraints are ...
2c +3p ≤ 108 . . . . . . . . available hours of preparation time
1c +0.5p ≤ 20 . . . . . . . available hours of decoration time
p ≥ 0, c ≥ 0 . . . . . . . . . negative numbers of cakes or pies cannot be produced
__
b. Sketch the feasible regionIt works well to let a graphing calculator do this.
The feasible region is the doubly-shaded area with vertices ...
(0, 0), (0, 36), (3, 34), (20, 0)
__
c. Write the profit functionProfit is $25 per cake and $12 per pie, so is ...
p = 25c +12p
__
d. Determine maximum profitThe attached table shows the profit for the various mixes of cakes and pies in the feasible region. The most profit is had by production of cakes only.
The maximum profit is $500 per day for production of 20 cakes.
_____
Additional comment
We have used x for cakes and y for pies in the attachment, because those are variables that the Desmos calculator prefers.
As is sometimes the case, the production point giving maximum profit leaves one of the resources (preparation time) only partially utilized.
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies?
Answer:
$9.33
Step-by-step explanation:
quarter = 25 cents
dime = 10 cents
nickel = 5 cents
penny = 1 cent
31 (0.25) = 7.75
13 (0.10) = `1.30
5 (0.05) = 0.25
3(0.01) = 0.03
7.75 + 1.30 + 0.25 + 0.03 = 9.33
Answer:
$9.33 or 933 cents
Step-by-step explanation:
Concepts:
Coins are a form of currency. They're tiny, flat, and made of metal. There are various types of coins worldwide, but the main ones in the USA are quarters, dimes, nickels, and pennies. To write the value of a coin, you can use the format $0.00 or use cents/¢ at the end of it. One quarter is worth 25 cents, one dime is worth 10 cents, one nickel is worth 5 cents, and one penny is worth one cent.Expressions are mathematical sentences that have at least two terms with numbers/variables and at least one operationSolving:
Since we know the value of each coin, let's set up an expression:
q = 25, d = 10, n = 5, p = 1
(31 · q) + (13 · d) + (5 · n) + (3 · p)
Now, let's solve our expression!
1. Plug in the values of q, d, n, and p
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)2. Simplify the terms in the parentheses
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)(775) + (130) + (25) + (3)775 + 130 + 25 + 33. Add all the terms together
775 + 130 + 25 + 3905 + 25 + 3930 + 3933Now, we know the the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies is 933 cents. However, we can also write it in decimal form by moving the decimal point to the left 2 times from the last digit of 933, 3: 933.0 -> 93.30 -> 9.330, and 9.330 = 9.33. Therefore, the answer is 933 cents or $9.33.
Which congruence theorem can be used to prove
ABR = RCA?
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
helppppppppppppppppppppppppppppppp
what is the slope of the line?
The slope is -1.
You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times, The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!
Use properties to evaluate
(2)-27
3)
QUESTION
3
-3
O O O O
27
-27
Help asap please difficult
[tex] \sf\huge\underline\purple{✏question}[/tex]
The lines presented by equations
[tex]2y + 5x = 2 \sf \: and \: y = - \frac{2}{5} + 3 \: are[/tex]
[tex] \sf\huge\underline\pink{✏ANSWER}[/tex]
PeRpEnDeCuLaR
(Perpendicular)
#BrainliestBunch
8.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. quadratic; y = 0.79x2 + 98
B. linear; y = 0.79x + 98
C. quadratic; y = 98x2 + 0.79
D. exponential; y = 98 • 0.79x
Answer:
D. exponential; y = 98 • 0.79x
Step-by-step explanation:
Answer:
Option D is correct.
Exponential model are the data best represented.
Equation:
Step-by-step explanation:
An exponential function is in the form of .....[1] where a is the initial value and b≠0 , b > 1.
Consider any two points from the table;
(0, 98) and ( 1, 77)
Then substitute these in [1];
For (0, 98)
x = 0 and y = 98 substitute in [1] we get;
98 = a
Similarly, For (1, 77)
we have;
77 = ab
Substitute the value of a =98 we get;
Divide both sides by 98 we get;
⇒ b = 0.79
We get an equation;
Therefore, the data represent here is, Exponential function.
also, an equation to model the data is;
...............................................................................................................................................
All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx
The solution is D
...............................................................................................................................................
Exponential would be the correct answer I believe...
...............................................................................................................................................
For a better understanding of the explanation provided here please find the attachment.
The solution will employ the use of the trial and error method and basic math.
As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.
We are left with the exponential model and since we have in it we can see that the deer population will fall as the years pass.
We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.
Please check the attached table for a better understanding.
Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?
5
A
B
-5
o
5 x
का
O Point B is the result of a 180° rotation.
O Point A and B have the same x-coordinate.
Answer:
the fourth option (A and B are the same distance from the origin)
Step-by-step explanation:
since B is the result of a rotation of A around the origin, they are both on the same circle (center point is the origin). so, they have both the same distance (the radius of the circle) from the center of the circle, which is the origin.
the third option is tempting, as the rotation was 90 degrees, but it was clockwise !
PLEASE HELP URGENT!!! QUESTION IS IN PICTURE PLEASE
Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.
50x - 100 = 25x + 25
25x - 100 = 25
25x = 125
x = 5
Angle 3 = 50(5) - 100 = 250 - 100 = 150
Angle 5 = 25(5) + 25 = 125 + 25 = 150
Hope this helps!
Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me
Answer: [tex]9\sqrt{2}[/tex]
Step-by-step explanation:
The sides of a square are all equal in length.Use the Pythagorean Theorem:
[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]
find x you know
|8-x|=x^2+x
giving the funtions f(x)=2x-5 and g(x)=3x2=2 perform the indicated operation
Answer:3165
Step-by-step explanation:
is the perpendicular bisector of . Point T is the midpoint of . Point U lies on . If the length of is 7 units, the length of is how many units?
Complete question is;
RS is the perpendicular bisector of PQ . Point T is the midpoint of PQ. Point U lies on RS. If the length of UP is 7 units, the length of UQ is ______ units.
Triangle is attached
Answer:
UQ = 7 Units
Step-by-step explanation:
From the image attached, we can see that;
T is the midpoint of PQ
Thus;
PT = TQ
Since RS is perpendicular to PQ, then we can say that;
∠PTU = ∠QTU
Now, from SAS congruence theorem, we can say that;
△PTU = △QTU
Thus, from corresponding sides of both triangles, we can say that;
UP = UQ
Thus,
UQ = 7 Units
Answer:
7 units
Step-by-step explanation:
help me with this question of O math
Answer:
domain is { - 1, 0, 1 }
Step-by-step explanation:
The domain are the values of the input x
Substitute the value from the range y into the equation and solve for x
y = 1
2x + 3 = 1 ( subtract 3 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
-------------------------------
y = 3
2x + 3 = 3 ( subtract 3 from both sides )
2x = 0 , then
x = 0
-------------------------------
y = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Then the domain is { - 1, 0, 1 }
Find the sum... 6.87 + 2.39
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
A=E
BCE=90
BF=AC
AC=EC
==========================================================
Explanation:
HL stands for Hypotenuse Leg. This rule works only for right triangles.
So we must have two hypotenuses that are congruent, and we must have two legs that are congruent
The diagram shows that AB = DE are the congruent hypotenuses. So we have "H" taken care of. We just need the "L" portion.
We can see that only choice D works, which is AC = EC. If we knew that AC and EC were the congruent legs, then we have enough info to use HL.
If we are given the value of α. How can we find the value of β?
Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
Let f(x) = 9x − 1 and g(x) = x3. Evaluate (g ∘ f)(1).
Step-by-step explanation:
here's the answer to your question
Please help solve x and round all answers to the nearest tenth
evaluate expression: evaluate each expression when a = "-2" b=4 and c=-10
2a+b
ac-b
a+b/a
8a+5b
-4a-b
3c/-5
Answer:
2a+b=0
ac-b=16
a+b/a=-4
8a+5b=-4
-4a-b =4
3c/-5=6
f(x) = 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
Step-by-step explanation:
= 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
Solve the mean for the data set. (4,11,25,1,17,34,11,30)
A. 12
B. 14.5
C. 16.6
D. 18.9
Answer:
The mean is C. 16.6
Step-by-step explanation:
the mean is the average, to find the average add all the numbers together and divide by the amount of numbers
4+11+25+1+17+34+11+30=133
133/8 = 16.6
A group has more than $120 to spend. The inequality 5x + 20 > 120 represents the cost to rent a hall for a conference, where x represents the number of hours the group can rent the hall. Which of the following is the solution for this situation?
Answer:
x>20
Step-by-step explanation:
You want to try and get the x alone so
5x + 20 > 120
-20 -20 Subtract 20 from each side
5x > 100
5x/5 > 100/5 Divide 5 from each side
x > 20
Please help me solve this guys today is my last day & I’ve been trying so hard
y = x^2 - 3x - 4
Factored Form: y = (x - 4)(x + 1)
X-Intercepts: (4,0) and (-1,0)
Axis of Symmetry: x = 1.5
Vertex: (1.5, -6.25)
Domain: All real numbers
Range: y > -6.25
Hope this helps!
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
if the radius of a sphere is7 cm find its volume
Answer:
1437.33 cm square
Step-by-step explanation:
Now we will use the frmula to et the volume of a sphere
volume of sphere is
4÷3pi r cube
where r is the radius of the sphere
Chukwu, Abdul and kunle are to share $142, such that Abdul gets $11.00 less than Chukwu and $7.00 more than Kunle. How much is Chukwu's share?
Answer:
Chukwu's share is of $57.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Chukwu's share is x.
Abdul's share is y.
Kunle's share is z.
Chukwu, Abdul and kunle are to share $142
This means that [tex]x + y + z = 142[/tex]
Abdul gets $11.00 less than Chukwu
This means that:
[tex]y = x - 11[/tex]
$7.00 more than Kunle.
This means that:
[tex]y = z + 7[/tex]
So
[tex]z = y - 7[/tex]
[tex]z = x - 11 - 7[/tex]
[tex]z = x - 18[/tex]
How much is Chukwu's share?
We want to find x, so:
[tex]x + y + z = 142[/tex]
[tex]x + x - 11 + x - 18 = 142[/tex]
[tex]3x - 29 = 142[/tex]
[tex]3x = 171[/tex]
[tex]x = \frac{171}{3}[/tex]
[tex]x = 57[/tex]
Chukwu's share is of $57.
