The number of buttons A will be equal to 11. And the number of buttons B will be equal to 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Given that container of buttons contains a similar number of each kind of button it contains 220g of buttons.
The weight of the button is given as follows;
Button A=8 grams
Button B = 12 Grams
Consider x be the number of each button. Then the equation is;
8x + 12x = 220
20x = 220
x = 11
The number of buttons A is 11. And the number of buttons B is 11.
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What is the equation of the line that passes through the point (4,-2)(4,−2) and has a slope of \frac{5}{4}
4
5
The equation of the line that passes through the point (4, -2) and has a slope of 5/4, in point-slope form is: y + 2 = 5/4(x - 4).
How to Find the Equation of a Line? Goes through a Point?If we are given a point (a, b), that a line goes through and we also know the slope (m) of the line, the equation of the line can be written as y - b = m(x - a) in point-slope form
Given that the line has the following:
A point (a, b) = (4, -2)
The slope of the line (m) = 5/4
To write the equation of the line, substitute m = 5/4, a = 4, and b = -2 into y - b = m(x - a):
y - (-2) = 5/4(x - 4)
y + 2 = 5/4(x - 4)
The answer is: y + 2 = 5/4(x - 4).
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suppose you roll a special 37-sided die. what is the probability that one of the following numbers is rolled? 35, 25, 33, 9, 19
The probability that one of the following numbers is rolled is 0.135.
We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.
The formula to be used for calculation of probability to roll any one number on the dice -
Probability = number of favourable outcomes ÷ total number of outcomes
Keep the values in formula
Probability = 1/37
Now, for the mentioned five numbers among which any can be rolled, the probability is -
Probability = 5 × (1/37)
Performing multiplication
Probability = 5/37
Performing division
Probability = 0.135
Hence, the probability is 0.135.
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use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is 21 square unit.
We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate
Equation of line passing through (0,5) and (2,-2) is
y-5 = [(-2-5)/(2-0)](x-0)
=>y-5 = (-7) /2x
=>y= (-7/2x)+5 -------(eq1)
Equation of line passing through (0,5) and (5,1) is
y-5 = [(1-5) / (5-0)](x-0)
=>y-5 = (-4/5)x
=>y = (-4/5)x+5-------(eq2)
Equation of line passing from (2,-2) and (5,1) is
y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)
=>y+2=(3/3)(x-2)
=>y=x-4--------(eq3)
Now, we use definite integration to find the area between the different equation of line.
So, area enclosed between the equations is given by the
area =[tex]\int\limits^5_2[/tex][(-4/5)x+5 - (-7/2)x + 5)dx + [tex]\int\limits^5_1[/tex][(-4/5)x+5 -(x-4)]dx
=>area=[tex]\int\limits^5_2[/tex](7/2-4/5)x dx + [tex]\int\limits^5_1[/tex]((-9/5)x+9)dx
Using properties of integration,[tex]\int\limits x\, dx=x^{2}/2[/tex]
=>area=[tex]\int\limits^5_2[/tex](27/10)x dx + [tex]\int\limits^5_1[/tex](-9/5)x+9)dx
=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)
=>area=(27/20)×(25-4) + (-9/5)×24+9×4
=>area = (27×21)/20 + (-216)/5+ 36
=>area=(567/20) - (216/5) + 36
=>area= [(567-261×4)+(36×20)]/20
=>area=[(567-864)+720]/20
=>area=423/20
=>area=21 square unit.
Hence, area of triangle is 21 square unit.
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given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole
A segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .
Given :
given a segment ab, construct the point p on the segment that divides it into two segments such that the shorter is to the longer as the longer is to the whole .
You are asked to construct P such that :
PB / AP = AP / AB
This ratio is the reciprocal of the Golden Ratio.
( AP )^2 = PB * AB
( AP )^2 = PB * ( AP + BP )
( AP )^2 = PB ( AP ) + ( BP )^2
Divide by PB^2 on both sides
ф^2 = ф + 1
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Is this a linear function? y-8= -8(x-2)
Answer:
Yes
Step-by-step explanation:
y-8= -8(x-2) ==> solve for y
y = -8(x - 2) + 8 ==> add 8 on both sides to isolate y
y = (-8 * x - 2(-8)) + 8 ==> distribute -8 to x and -2 using the distribution
property
y = (-8x - (-16)) + 8 ==> simplify
y = (-8x + 16) + 8 ==> subtracting by a negative number is equivalent to
adding by a positive number.
y = -8x + 16 + 8
y = -8x + 24 ==> Degree of x in the equation is 1, so the function is linear
Identify the values of a, b, and c in the following quadratic equation 2x^2-3x+5
a=
b=
c=
Answer:
somone in my class is literally a new York rat
Step-by-step explanation:
Prepared building plans for Spangler Construction Company. Sent Spangler an invoice for $900 requesting payment within 30 days. (The appropriate revenue account is entitled Drafting Fees Earned.)
The appropriate sales journal entry for the building plans prepared for Spangler Construction Company is as follows:
Sales Journal Entry:Debit Accounts Receivable (Spangler Construction Company) $900
Credit Drafting Fees Earned $900
(To record the revenue from drafting fees.)
What are sales journals?Sales or service journals are used to record sales or service revenue transactions.
When the services are performed on credit, the Accounts Receivable account is debited while the Service Revenue account is credited.
Transaction Analysis:Accounts Receivable (Spangler Construction Company) $900 Drafting Fees Earned $900
Thus, the above demonstrates the appropriate recording of the service revenue transaction in the sales/service revenue journal.
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Question Completion:Prepare the appropriate journal entry.
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$9.86 , Kendra donates to the charity.
Kendra worked 8 hours and 30 minutes last week
She earns $ 11.60 per hour
She will earn money if she works for 30 minutes = $(11.60÷2)
Therefore,
Total amount of money she earns last week = $((11.60×8) + (11.60÷2))
= $(92.8+5.80))
= $98.6
Kendra donates 1/10th of the total money she earns in a week
Therefore,
Amount she donate last week = total amount she earns last week * 1/10
= $(98.6*1/10)
= $9.86
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Which system of linear inequalities has the point (3, -2) in its solution set?
y < -3; y ≤ 2/3x - 4
y > -3; y ≥ 2/3x - 4
y < -3; y ≥ 2/3x - 4
y > -2; y ≤ 2/3x - 4
The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.
We know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
In option B, we have
y > -3 ----> inequality A
y ≥ 2/3x - 4 ----> inequality B
In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.
Inequality A
y > -3 ----> is true
Inequality B
y ≥ 2/3x - 4 ----> is true
Therefore
The ordered pair is a solution of the system B
As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.
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Carol purchased 4 gallons of milk. Which is the BEST estimate of the liters of milk she purchased? (1 liter = 0.264 gallons) Responses
Answer: the best estimate could be 20 liters
Step-by-step explanation: it is 20 liters because 1 liter is = 264 gallons so we round up the number and then use regular estimate methods.
Answer:
15 liters
Step-by-step explanation:
4 gal / .264 gal / liter = 15.15 liters = ~ 15 liters
Help!
Para determinar el monto del interés de un depósito con cierta tasa de interés , capital inicial
y tiempo , se usa la siguiente expresión: =
∙ (1 +
100)
. Carlos depositó un capital de
$ 1.500.000 durante un año y medio a una tasa de interés mensual del 2,5 %, ¿cuál es el monto que
retirará Carlos después de este período?
The balance of Carlos account after this period, using simple interest, is of:
$2,339,488.08.
How to obtain the balance?This is a simple interest problem, hence the balance of the account can be obtained using an exponential function, defined as follows:
[tex]B(n) = B(0)(1 + r)^n[/tex]
In which the parameters of the exponential function are defined as follows:
B(0) is the initial deposit.r is the interest rate, as a decimal.n is the number of periods.In the context of this problem, the values of these parameters are given as follows:
B(0) = 1500000, r = 0.025, n = 18, as one and a half year = 18 months.
Then the balance of Carlos account is obtained as follows:
B(18) = 1500000(1.025)^18 = $2,339,488.08
TranslationCarlos deposited: $1,500,000.Time of 1.5 years.Interest rate of 2.5% montly.Asks for the balance.More can be learned about simple interest at
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A. Jesse and Mya are playing the integer card game.The cards in jesse's hand are 3,-5,9 and -6.What is the total score of jesse's hand?
B. Jesse picks up two more cards but they do not affect his overall point total.State the value of each of the two cards and tell why they do not affect his overall point total?
(a) The total score of Jesse's card is 1
(b) The value of each of the two cards can either be 0 or cards with different signs
In the question,
(a) Jesse's card are 3 , -5 , 9 and -6
We have to find the total
You should know that,
Adding a positive integer is like addition but adding a negative integer is like subtraction
So, Total score = 3 + (-5) + 9 + (-6)
=> 3 - 5 + 9 - 6
=> 1
Jesse's total score is 1
(b) Jesse has picked two cards which are not affecting her total score
So, either he got two zeroes or two cards with opposite signs with same magnitudes
Like 1 and -1 etc.
The two doesn't affect his score because their effect got cancelled out
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3. The quilt is made of squares with diagonals. (Lesson 3-12)
The length of BD is 4.
a. Find the length of AE.
Answer:2
Step-by-step explanation:took a test
Mr. Fishman decides to build a rectangular pen for his pet llama. He will use the side of his house for one wall of the pen; therefore, he will not need any fencing on that side. On the other three sides, he will use special fencing that costs
$12
per foot. He wants the entire enclosed area to be 2400 square feet. Lastly, he needs four corner posts that cost
$5
each. a) [5 pts] Let
x
represent the length of the side of the pen perpendicular to the house and let
y
represent the length of the side pf the pen parallel to the house. Write a function
C(x)
for the cost of the materials for the Ilama pen in terms of
x
. Simplify your answer. Note: Diagram not to scale. b) [4 pts] Since the Cost Function is not quadratic, you will need to use your graphing calculator to determine the dimensions of the pasture that minimize cost. Set your viewing window on your calculator from
[0,150]
on the
x
-axis and
[0,5000]
on the
y
-axis and provide a labeled sketch of your graph. Then use the CALC capability on the calculator to find the minimum point. Round your answers for both the
x
and
y
dimensions to two decimal places and express your final answer using appropriate units. c) [3 pts] What is the minimum cost for Mr. Fishman to build this Ilama pen? Round your answer to the nearest cent and express your answer with appropriate units.
a) The function C(x) for the cost of the materials for the pen in terms of x
is : c(x) = 24x+(28800/x)+20
b) the dimensions of the pasture that minimize cost is:
x = 24.62 and y = 69.28
c) minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
a) Perimeter of fence = 2x+y
∴ cost of fencing = 12(2x+y)
also cost of poses corner house = 4×5 = 20
∴ Total cost of pen = 24x+!2y+20
But area of the pen = 2400
xy = 2400
y = 2400/x
Putting 1 in total cost c(x)
= 24x+{(12×2400)/x}+20
c(x)= 24x+{28800/x}+20
b) we need to minimize c(x)
using the graphical calculator we obtain
That x = 34.61
x = 34.61 & y = 2400/34.61 = 69.28
c) Minimum value of c(x) = c(34×64) = boxed 1682.77
Minimum cost for Mr. Fishman to build this Ilama pen is $1682.77
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f(x) = 2x – 3x and g(x) = 1 – 2x find (f+g)(x)
The value of the composite function is (f + g)(x) = -3x + 1
How to evaluate the composite functions?From the question, we have the following parameters that can be used in our computation:
f(x) = 2x - 3x
g(x) = 1 - 2x
The composite function is given as
(f + g)(x)
Mathematically, this can be represented as
(f + g)(x) = f(x) + g(x)
Substitute the known values in the above equation, so, we have the following representation
(f + g)(x) = 2x- 3x + 1 - 2x
Evaluate the like terms
(f + g)(x) = -3x + 1
Hence, the composite function is (f + g)(x) = -3x + 1
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What’s the value of y 3(13/2)+2y=9
Answer:
3(13/2)+2y=9 the answer is y=-21/4
The equation s equals two fifths times f represents the proportional relationship between the amount of sugar (s) and flour (f) in a recipe. Which table represents the equation of the proportional relationship?
Sugar Flour
1 two fifths
2 four fifths
Sugar Flour
four fifths 1
two fifths 2
Sugar Flour
1 four fifths
2 two fifths
Sugar Flour
two fifths 1
four fifths 2
The table which represents the equation of the proportional relationship as described is;
Sugar Flour
two fifths 1
four fifths 2
Which table represents the equation of the proportional relationship?It follows from the task content that the table which represents the proportional relationship is to be identified among the given answer choices.
Since the given relationship is defined by the equation;
s = (2/5) f.
Hence, when f = 1; s = (2/5) • 1; s = 2/5.
Also, when f = 2; s = (2/5) • 2 = 4 / 5.
Therefore, the table which represents the equation of the proportional relationship is;
Sugar Flour
two fifths 1
four fifths 2
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(True or False) with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean.
with the correct sampling method, you expect to obtain a sample mean exactly the same as the population mean is false statement.
Sampling is an important tool used to collect data from a population. It is a process by which a subset of individuals from the population is selected to represent the population as a whole. Sampling allows researchers to collect data more quickly and efficiently than if data were collected from the entire population. It is also cost-effective and time-saving. However, it is important to note that no sampling method can guarantee that the sample mean will be exactly the same as the population mean. This is because of the random nature of sampling, which means that a sample mean could be slightly different from the population mean. Therefore, it is important to use appropriate sampling techniques and to be aware of the potential for sampling bias.
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When solving a system of equation Jared found?
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression.
In the given question, when solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.
Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation.
We have to check who is correct.
Nicole and Jared are both accurate. To generate an equation with just one variable, you can solve for either variable and then use the equivalent expression. You can then resolve. In contrast to Nicole, who would have produced a one-variable equation that can be used to solve for y, Jared would have produced an equation with just one variable that can be used to get the value of x.
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The right question is:
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y - 10 for the same equation and substituted y - 10 for x in the other equation. Who is correct? Explain.
Find the measure of angle 0.
35°
83°
23°
23
Step-by-step explanation:
The answer is 23 because it is closer to the 0
Answer: the answer is 141
Step-by-step explanation:
bro its not that hard the guy up top is a bum just add all the angles together thats the answer and remember the formula is (n-2)180 for INTERIOR i wrote it in caps cuz some of yall goofy fr
30/4+5•3-9
help me please!! ;)
Answer:
30/4+5•3-9
= 7.5+15-9
= 22.5-9
= 13.5
Step-by-step explanation:
plot the probability mass function of the sample mean of x1, ... , xn, when (a) n = 2; (a) n = 3. assume that the probability mass function of the xi is p{x = 0} = .2, p{x = 1} = .3, p{x = 3} = .5 in both cases, determine e[x ] and var(x ).
The probability mass function of the sample mean of x1, ... , xn, then the
Expectation [tex]E[X][/tex] = 1 and Variance [tex]Var[X][/tex] = 4.9
To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X)=μ=∑xP(x).
var(X)=∑(x−μ)2pX(x), where the sum is taken over all values of x for which pX(x)>0. So the variance of X is the weighted average of the squared deviations from the mean μ, where the weights are given by the probability function PX(x) of X.
Given that,
The probability mass function of the sample mean of x1, ... , xn,
p{x = 0} = 0.2, p{x = 1} = 0.3, p{x = 3} = 0.5
when (a) n = 2; (a) n = 3
Expectation is defined as
[tex]E[X][/tex] = ∑ˣ [tex]x P(X =x)[/tex]
We have
[tex]E[X][/tex] = ∑ [tex]x P(X =x)[/tex]
[tex]x[/tex]∈(2,3)
[tex]E[X][/tex] = [tex]P(X =0)+2P(X=1)+3P(X=3)[/tex]
[tex]E[X][/tex] = 0.2 + 0.3 + 0.5
[tex]E[X][/tex] = 1
Variance is defined as
[tex]Var[X][/tex] = E[(X-[tex]E[X]^{2}[/tex]]
[tex]Var[X][/tex] = [tex]E[X^{2}][/tex] - [tex](E[X])^{2}[/tex]
We get
[tex]E[X]^{2}[/tex] = [tex]1^{2} P[X=0]+2^{2} P[X=1]+3^{2} P[X=2][/tex]
[tex]E[X]^{2}[/tex] = 0.2 + 4(0.3) + 9(0.5)
[tex]E[X]^{2}[/tex] = 0.2 + 1.2 + 4.5
[tex]E[X]^{2}[/tex] = 5.9
Variance is defined as
[tex]Var[X][/tex] = [tex]E[X^{2}][/tex] - [tex](E[X])^{2}[/tex]
[tex]Var[X][/tex] = 5.9 - [tex]1^{2}[/tex]
[tex]Var[X][/tex] = 5.9 - 1
[tex]Var[X][/tex] = 4.9
Therefore,
The probability mass function of the sample mean of x1, ... , xn, then the
Expectation [tex]E[X][/tex] = 1 and Variance [tex]Var[X][/tex] = 4.9
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Which statement best describe a parallelogram a parallelogram? A.a quadrilateral with one pair of parallel sides
B.A quadrilateral with two pairs of parallel sides
C.A quadrillateral with two pairs of congruent sides. D.any four sided figure with opposites sides congruent
B.A quadrilateral with two pairs of parallel sides
How do you identify a parallelogram?A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
What is an example of a parallelogram?Few examples of a parallelogram are rhombus, rectangle, and square.
A quadrilateral with both pairs of opposite sides parallel is known as a parallelogram.
Additionally, a parallelogram has the following qualities:
Congruent opposite angles;
The opposing factions are in agreement;
Additional angles can be found nearby;
The diagonals cut each other in half.
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Give the equation of the circle centered at the origin and passing through the point (-11, 0)
Answer:
Step-by-step explanation:
Since we know the general circle equation is in the form
x^2 + y^2 = r^2, where r is radius
Now we are given the information that circle has the origin (0,0) and pass through point (-11,0), which mean the radius is 11 units.
Now we can write the circle equation as
x^2 + y^2 = 11^2
Answer:
the equation for the circle is:
X² +Y² = 11² = 121
Can someone please help me asap, This is overdue and i need to get it done and im very confused... !! ILL GIVE BRAINLIST !!
Answer:
Below
Step-by-step explanation:
At B ( 40 mins) and D (30 mins) he is not moving....visiting .
The width of A is the time it took to get to first house = 20 mins
The width of C is t the time to get to second house = 60 to 70 = 10 mins
Riding toward home at C and E ( the distance...the y-value....is getting less)
He is fastest where the line has greatest slope...where it is steepest = C
He was away from home the width of the graph = 115 mins
Check all properties that the following relations on the set of positive integers have: The relations are defined by (x, Y) € R if and only if the indicated condition is satisfied x and Y have a common prime factor A. reflexive B. symmetric C. irreflexive D. transitive E: antisymmetric (b) x _ y is a multiple of 3 A. symmetric B. antisymmetric C: irreflexive D. reflexive E. transitive (c) x and y are both prime A. transitive B. irreflexive C. symmetric D. reflexive E: antisymmetric (d) x and y are twin primes (they are primes and their distance is 2) A. symmetric B. irreflexive C.antisymmetric D. reflexive E: transitive
If x and y have a common prime factor then y and x also have a common prime factor,so x and y are symmetric.
If x-y is divisible by 3 then y-x is also divisible by 3.so it is symmetric and x-y is reflexive as x ∈Z+ ,x-y is a multiple of 3.so it is reflexive.
If x,y and y,z are primes then x,z are also primes.So it is transitive and it is also symmetric If x,y are primes then y,x are also primes.
x and y are symmetric since (a,b)∈ R⇒ a,b are prime and their difference is 2⇒(b,a)∈ R
Step-by-step explanation:
Part a: x and y have a common prime factor
If x and y have a common prime factor then y and x also have a common prime factor, so x and y are symmetric.
Reflexive: x and y are not reflexive since {1,1}∉ R(1 has no prime factor)
Symmetric: If x and y have a common prime factor then y and x also have a common prime factor , so x and y are symmetric.
Irreflexive: refer point A(above)
Transitive: x and y are not transitive since {2,9}∉ R(has no common prime factor)
Anti symmetric: x and y are not anti symmetric [Refer point B(above)]
If x and y have a common prime factor then y and x also have a common prime factor, so x and y are symmetric.
b) x - y is a multiple of 3
If x-y is divisible by 3 then y-x is also divisible by 3.so it is symmetric and x-y is reflexive as x ∈Z+ ,x-y is a multiple of 3.so it is reflexive.
Symmetric: If x-y is divisible by 3 then y-x is also divisible by 3.so it is symmetric.
Antisymmetric x-y is not anti symmetric (refer above)
Irreflexive refer point D
Reflexive : x-y is reflexive as x ∈Z+ ,x-y is a multiple of 3.
Transitive: if x-y,y-z is multiples of 3 then x-z is also multiples of 3.so it is also transitive.
(c) x and y are both prime
If x,y and y,z are primes then x,z are also primes.So it is transitive and it is also symmetric If x,y are primes then y,x are also primes.
Transitive: If x,y and y,z are primes then x,z are also primes.So it is transitive.
irreflexive Refer It is not reflexive since {4,4}∉ R(4 is not a prime)
Symmetric: If x,y are primes then y,x are also primes.So it is symmetric..
Reflexive:It is not reflexive since {4,4}∉ R(4 is not a prime)
Antisymmetric: Refer point C
(d) x and y are twin primes (they are primes and their distance is 2)
x and y are symmetric since (a,b)∈ R⇒ a,b are prime and their difference is 2⇒(b,a)∈ R
Symmetric: x and y are symmetric since (a,b)∈ R⇒ a,b are prime and their difference is 2⇒(b,a)∈ R
Irreflexive Refer point D
Antisymmetric Refer point A
Reflexive: It is not reflexive since {4,4}∉ R
Transitive: It is not transitive because (3,5)∈R and (5,3)∈R but (3,7)∉ R
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Use the drop-down menus to complete each statement about the functions f and g
Note: Exponential functions are of the form f(x) = ab^x
-linear/exponential/neither
-differences/quotients
-constant/non-constant
A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
Hence, in this problem, the function g(x) is exponential, as when the input x is increased by one, the output g(x) is multiplied by two.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
Hence, in this problem, the function f(x) is linear, as when the input x is increased by one, the output f(x) is increased by a constant of six.
Missing InformationThe problem is given by the image shown at the end of the answer.
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cost per pound ($) ingredient beginning ending quantity (pounds) per 100 pounds of product a 2.50 3.95 25 b 8.75 9.90 15 c 0.99 0.95 50
The relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
In the given question we have to compute the price relatives for the three ingredients A, B and C.
Now finding the relative price using the formula.
Relative Price(RP) = Ending Cost(E)/Beginning Cost(B) *100
Now from the given table;
Ingredient Beginning(B) Ending(E) E/B E/B*100
A 2.50 3.95 1.58 158
B 8.75 9.90 1.131 131.1
C 0.99 0.95 0.96 96
Hence, the relative price of ingredient A is 158, ingredient B is 131.1 and ingredient C is 96.
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The right question is
A chemical company produces a special industrial chemical that is a blend of three chemical ingredients. The beginning-year cost per pound, the ending-year cost per pound, and the blend proportions follow. (Round your answers to the nearest integer.)
Cost per Pound ($)
Ingredient Beginning Ending Quantity (pounds) per 100
Pounds of Product
A 2.50 3.95 25
B 8.75 9.90 15
C 0.99 0.95 70
Compute the price relatives for the three ingredients.
Item Price Relative
A
B
C
1. At a clothing store, a pair of jeans costs $75. Using a coupon, Terese buys the jeans for $18.75 less than the original price. Complete the table.
Dollar Amount
Percentage
% off the original amount.
3.
The coupon gives Terese
How much did Terese pay for the jeans (before tax)?
it is:
4. In a bag of candy, 25% are yellow. There are 60 candies in the bag. How man' yellow candies are there?
5. For one math test, Blair had to answer 35 questions. Of those 35 questions, h answered 27 correctly. What percent did Blair get on his math test? Round to nearest percent.
6. Jeffrey has 60% as much money as Louis. Louis has $110. Select all true
statements.
• Jeffrey has $66.
• Jeffrey has $44.
• Jeffrey has - as much as Louis.
• Jeffrey has as much as Louis.
• Jeffrey has $48.
• Louis has as much as Jeffrey
• Louis has
as much as Jeffrey
1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:
Dollar Amount Percentage
% off the
original amount
$75 25%
2. The coupon gives Terese 25% off the original amount.
3. The amount Terese paid for the jeans (before tax) was $56.25.
4. The number of yellow candies in the bag is 15.
5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.
6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.
a) Clothing Store:Cost of a pair of jeans = $75
Coupon value = $18.75
Amount paid = $56.25
The coupon percentage = 25% ($18.75/$75 x 100)
b) Bag of Candy:Yellow candy = 25%
The total number of candies in the bag = 60
The number of yellow candy = 15 (60 x 25%)
c) Math Test:The total number of questions = 35
The number of questions answered correctly = 27
Percent scored by Blair = 77% (27/35 x 100)
d) Jeffrey and Louis:The amount of money Louis has = $110
The percentage of Louis' money that Jeffry has = 60%
The amount Jeffry has = $66 ($110 x 60%)
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How many 2 1/3 m lengths of rope can be cut from a rope of length 21 m?
