Given that,
Total number of snails shells and shark teeth = 60
The ratio of snail shells to shark teeth is 5:1
To find,
Total no of snail shells used by the Jeweler.
Solution,
Let there are 5x snail shells and x shark shells.
According to question,
5x+x = 60
6x = 60
x = 10
Snail shell = 5x
= 5(10)
= 50
Hence, he uses 50 snail shells.
The weekly revenue for a product is given by R(x) = 324x - 0.0495x?, and the weekly cost is C(x) = 8000 + 162x - 0.099x2 + 0.00003x”, where x is the number of units
produced and sold
(a) How many units will give the maximum profit?
(b) What is the maximum possible profit?
(a) The number of units that will give the maximum profit is
(Round to the nearest whole number as needed.)
Answer:
(a) The number of units that will give the maximum profit is 2,000 units.
(b) The maximum possible profit is $274,000.
Step-by-step explanation:
(a) How many units will give the maximum profit?
From the attached photo in the question, we are given;
R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)
C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)
In economics, profit function, P(x), is obtained as follows:
P(x) = R(x) - C(x) ………………………. (3)
Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:
P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)
P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3
P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)
Taking a derivative of equation (4) with respect to x and equating to 0, we have:
162 + 0.099x - 0.00009x^2 = 0 .................... (5)
Using the almighty formula as follows:
x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)
Where, from equation (5);
a = - 0.00009
b = 0.099
c = 162
Substituting the values into equation (6), we have:
x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)
x = (-0.099 +/- 0.261) / -0.00018
x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018
x = -900, or x = 2000
Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.
(b) What is the maximum possible profit?
From part a, x = 2000
Substituting x = 2000 into equation (4) and then solve, we have:
P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)
P(x) = 274,000
Therefore, the maximum possible profit is $274,000.
Find the GCF (greatest common factor) of 8 and 7.
Answer: Its 1
Step-by-step explanation:
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
ILL GIVE BRAINLIST HELP ASPA
the 3 D'E=3DE i think that is the correct answer
Find the area and circumference of a circle with radius 8 ft use the value 3.14 for it and do not round your answer be sure to include the correct units in your answer
Answer: C=50.24 ft, A=200.96 ft^2
Step-by-step explanation:
Area:
A=(pi)*r^2
A=(3.14)*8^2
A=200.96 ft^2
Circumference:
C=2*(pi)*r
C=2*(3.14)*8
C=50.24 ft
an 8-sided die is rolled 400 times. about how many time should it stop on 7? about how many times should an odd number appear?
is the square root of 9/31 rational
Answer:
NO
Step-by-step explanation:
no, 9/31 is not an irrational number. ... So we have shown that the square root of any non-square cannot be rational; hence, it is irrational.
The square root of 9/31 rational is not a rational number.
We have given that 9/31.
We have to determine is the square root of 9/31 rational
What is the square root of arational numbers?A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.
9/31 is not an irrational number.
So we have shown that the square root of any non-square cannot be rational.
hence, it is irrational.
Therefore it is not a rational number.
To learn more about the rational number visit:
https://brainly.com/question/43641
The weights of an orange in the bin at the grocery store vary normally with a mean of 10 oz. and a standard deviation of 2.5 oz. If you randomly pick two oranges out of the bin, what is the probability that the difference in their weight is at least 1 oz?
a) 0.421
b) 0.389
c) 0.778
d) 0.135
e) 0.842
Answer:
e) 0.842
Step-by-step explanation:
Twice the difference of p and 10 I need a answer for my hw plz
Answer:
2(p - 10)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Translate
"Twice" is multiplied by 2.
"Difference" is subtraction.
"p" is p.
"10" is 10.
Step 2: Write expression
2(p - 10)
2p - 20
what is the answer to this 2²/2³
Answer:
.5
Step-by-step explanation:
22
23
=
22
23
=
2*2
2*2*2
=
1
2
(Decimal: 0.5)
Pls help it isn’t urgent but it’s for my hw
Pls help I’m going to get in trouble if I don’t finish this test
I will mark you as brainlist
Answer:
what are some of the answers? I think the answer could be for 1 plant there is 5 Rose's. put I'm not 100 percent sure what the question is asking
Consider the function represented by the table.
What is f(0) ?
Can i have some assistance on this question?
The linear function f(x) = 4/5x - 9
Given,
f(-20) = -25
Slope, m = 4/5
We have to find the linear function f(x)
We know the slope-intercept form, y = mx + b
Here,
f(-20) = -25
x = -20 and y = -25
slope, m = 4/5
So, lets solve for b.
y = mx + b
-25 = 4/5 (-20) + b
-25 = 4 × (-4) + b
-25 = -16 + b
Add 16 to both sides
16 - 25 = -16 + 16 + b
We get,
-9 = b
Now, find f(x)
f(x) = 4/5x - 9
That is, the linear function f(x) = 4/5x - 9
Learn more about linear function here:
https://brainly.com/question/8346797
#SPJ1
the temperature was 20 degrees below 0 at midnight. By morning it fell another 15 degrees. choose the correct expression
A. 20-15
B. -20+(-15)
C. -20+15
Answer:
C
Step-by-step explanation:
-20 + 15 = -35
a negative + a positive = a negative
Hope this helps!
A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is
Answer:
The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1500
The population proportion is [tex]p = 0.013[/tex]
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]
=> [tex]\sigma =0.0087[/tex]
The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.
How to find the sample standard deviation for distribution of a sample proportion?Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
For the given case, we're given that:
Sample size= n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]Thus, standard deviation of the sampling distribution is approximately 0.0027
Learn more about standard deviation of proportion distribution here:
https://brainly.com/question/16548769
could someone help me please?
Answer:
62
Step-by-step explanation:
Identify the slope as positive, negative, zero or undefined from each graph.
What’s this answer
Answer:
1-positive
2-negitive
3-zero
4-undefined
Answer:
1 ) positive 2) negative 3) undefined 4) undefined
Step-by-step explanation:
Joel received a $8.00 tip from a customer who had a $50.00 bill.
Which decimal represents the fraction of the bill Joel received as a tip?
A 0.08
B 0.16
C 0.22
D 0.625
Answer:
The answer is D
Step-by-step explanation:
Find the probability below in the picture. (the answer isn't 14/4)
Is 6dd same answer as 4d+2d
Answer:
[tex]6d \: is \: same \: as \: 4d + 2d[/tex]
Step-by-step explanation:
[tex]4d + 2d = 6d \\ pls \: mark \: as \: brainliest[/tex]
Jana received $5 a week for her allowance. Every other week she earns an extra $4 for babysitting her cousins. If she saves all the money she much will she have in 8 weeks?
A $19
B $28
C $33
D $56
What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)
Answer:
(0,0)
Step-by-step explanation:
Answer:
0,0 because that’s were it starts at
Step-by-step explanation:
Can i get brainiest think
Tell whether z = 64 is a solution of z: 8=8.
Yes Or no
Answer:
Yes
Step-by-step explanation:
I think so...idk
8×8=64 thats why I said yes
You have sample data that leads you to believe that the average high temperature in Oklahoma City is 92°F.
What is the alternative hypothesis, Ha, for this situation?
Answer:
B - u>90 on edge
Answer:
B. µ > 90
Step-by-step explanation:
I can confirm that the answer to your question is B.
Use the diagram to find the following measures
A) triangle angle sum equation
B) value of x = ———- degrees
Answer:
Triangle sum of equation: x° + 109° = 180°
value of x = 71°
How do you this .. I don’t know how to do it
5. A bag contains 3 yellow marbles, 4 green marbles, 6 purple marbles, and 2 orange marbles. If a marble is drawn from a bag, what is the probability that it is green? A) 1/15 B) 4/15 C) 1/4 D) 6/15
Answer:
B) 4/15
Step-by-step explanation:
green marbles: 4
total marbles: 15
probability
4/15
answer quick please I dont really get this
Answer:
f(9) = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4(x - 3)
f(9) is x = 9
Step 2: Evaluate
Substitute in x: f(9) = 4(9 - 3)Subtract: f(9) = 4(6)Multiply: f(9) = 248 + 2 ( x - 6 ) = -2 + 2x - 2
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
8 + 2(x - 6) = -2 + 2x - 2
Step 2: Solve for x
Distribute 2: 8 + 2x - 12 = -2 + 2x - 2Combine like terms: 2x - 4 = 2x - 4Add 4 on both sides: 2x = 2xDivide 2 on both sides: x = xHere we see that x does indeed equal x.
∴ x = infinite amount of solutions.