Answer:
The company needs to sell either 30 or 40 items.
Step-by-step explanation:
We are given that the cost for selling x items given by the function:
[tex]C(x)=40x+180[/tex]
And the revenue for selling x items is given by:
[tex]R(x)=68x-0.4x^2[/tex]
The profit function is the cost function subtracted from the revenue function:
[tex]P(x)=R(x)-C(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]
To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:
[tex]300=-0.4x^2+28x-180[/tex]
Solve for x. Subtract 300 from both sides:
[tex]-0.4x^2+28x-480=0[/tex]
We can divide both sides by -0.4:
[tex]x^2-70x+1200=0[/tex]
Factor:
[tex](x-40)(x-30)=0[/tex]
Zero Product Property:
[tex]x-40=0\text{ or } x-30=0[/tex]
Solve for each case:
[tex]x=40\text{ or } x=30[/tex]
So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
24 percent discount from 85 dallors
Answer: Purchase Price: $85. Discount: (85 x 24)/100 = $20.40
Final Price:
85 - 20.40 = $64.60
Answer:
63.60, or 63.6, or 67, how u round it
Step-by-step explanation:
Smartness
Solve:3x - 4 = 2x - 10
Answer:
x=-6
Step-by-step explanation:
1. Move the variable to the left-hand side and change its sign
3x-4-2x=-10
2. Collect like terms
x=-10+4
-10+4= -6
A quantity P is an exponential function of time t. Use the given information about the function P = P0e^{kt} to find values for the parameters k and P0.
P=40 when t=4 and P=50 when t=3.
Answer:
P = 40 x 4
= 160
P = 50 x 3
= 150
prove by factorization √16×81=√16×√81
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.
Step-by-step explanation:
Hey there!
According to the question;
Side (a) = 4cm
To find : area
Now;
[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]
[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]
[tex]area \: = 4 \sqrt{3} [/tex]
Therefore, area of triangle is 6.92 cm² or 4√(3) cm².
Hope it helps!
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
someone asap
A small factory has 3 machines for producing protractors. The high speed machines produces 61% the protractors but 6% of its output is defective. The medium speed machine produces 24% of the protractors, of which 4%o are defective. The low speed machine, which has a defective rate of 2% produces the remainder.
{a) Draw a tree diagram.
(b) What is the probability of a protractor not being defective given it came from a low speed machine?
(c). Knowing that a protractor is defective, what ls the probability it came from the high speed machine?
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answer:
452.4 in³
Step-by-step explanation:
Volume half sphere = 1/2 volume sphere
Volume sphere = 4/3πr²
Volume = 4/3*3.14*27 Radius = 1/2(6) . 3³ = 27
Volume ≈ 113.1
Volume Cylinder = Area circle x hieght
Area circle = πr²
Area circle = 3.14 * 9
Area circle = 28.26
Volume cylinder = 28.26 * 12 = 339.12
339.12 + 113.1 = 452.22
Because of rounding it would be ≈ 452.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The product of 4 and the depth of the pool
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
true or false m angle 5 is greater than m angle 8
Answer:
True
Step-by-step explanation:
You can see that Angle 5 is slightly greater than 90°, so it is obtuse
Angle 8 is less than 90°, and is acute
Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the value of x in each case:
Answer:
x = 19
Step-by-step explanation:
∠ YWX = ∠ ZYW = 2x ( alternate angles )
The sum of the 3 angles in Δ WXY = 180° , that is
3x - 5 + 2x + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
What is the area of the triangle in centimeters squared?
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
(0.30,0.42)
(0.20,0.52)
(0.24,0.48)
(0.22,0.50)
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the sample proportion is = 0.36
Number of trials required for determining the margin of the error = 100
Sample size, n = 50
The point estimate = 0.36
The minimum sample proportion form the simulation = 0.28
The maximum sample proportion from the simulation = 0.40
Also the margin of the error of population proportion is found by using the half of the range.
Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)
which number represents 4%
Answer:
4
Step-by-step explanation:
The camping group has 24 ppl in all 21 out of 24 would like a s’more it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person
Answer:
16 minute 30 seconds
Step-by-step explanation:
1 minute 30 seconds = 1.5 minutes
1.5 x 21 = 31.5 minutes
One person will make 10, one person makes 11.
11
11× 1.5 = 16.5
10× 1.5 = 15
16.5 is the answer
Which is the solution to the equation below? 4n+5=25-3n
Answer:
[tex]n = \frac{20}{7}[/tex]
Step-by-step explanation:
[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]
Answer:
n = 20/7
Step-by-step explanation:
4n+5=25-3n
Add 3n to each side
4n+3n+5=25-3n+3n
7n +5 = 25
Subtract 5 from each side
7n+5-5=25-5
7n = 20
Divide by 7
7n/7 = 20/7
n = 20/7
Solve using the zero-factor proper (13x + 7)(6x - 7) = 0
Answer:
x = -7/13 and x = 7/6
Step-by-step explanation:
Using the zero factor property, set each factor equal to zero, and solve for x:
13x + 7 = 0
13x = -7
x = -7/13
Solve the other factor:
6x - 7 = 0
6x = 7
x = 7/6
So, the solutions are x = -7/13 and x = 7/6
76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?
D
76
21. In the last three basketball games,
Paula has scored 21, 25, and
15 points p. Which inequality does
not describe the numbers of points
she has scored?
Ap> 21
Bps 25
cp< 30
Dp 2 10
Answer:
A
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
Paula's 3 scores are greater than 15 and less than 26
p> 21 implies her score is greater than 21. this is wrong because there is a score of 15
Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164
Answer:
128
Step-by-step explanation:
I did the math
Answer:
it's 2 :)
Step-by-step explanation:
quotient is a term used in division so you divide
16 divided by 8 is 2 <3
don't forget to say thanks if you got it right ! :)
5x + 7y = 42 I need to find the x−and y−intercepts.
Answer:
Y intercept = (0;6)
X intercept = (42/5;0)
Which list of numbers are valid for both inequalities?
3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4
Answer:
-3, - 2, - 1, 0, 1, 2, 3, 4
Step-by-step explanation:
The blue line of the number line can have its inequality range written as :
Since both startibg and endpoints are shaded :
-1 ≤ x ≤ 4
The red line can also be written as :
Only the start is shaded:
-3 ≤ x < 2
Listing out the values :
Blue line :-1 ≤ x ≤ 4
-1, 0, 1, 2, 3, 4
The red line : -3 ≤ x < 2
-3, - 2, - 1, 0, 1, 2
Combining both values :
-3, - 2, - 1, 0, 1, 2, 3, 4
in a class of 30 students, 5 have a brother and 23 have a sister. there are 2 students who have a brother and a sister. what is the probability that a student has a sister also has a brother
Answer:
2/23
Hope this helps!
Simplify the following expression.
29.718 - 29.63
Answer:
0.88 is the correct answer
-2(y-4)=18 PLEASE HELPPPPPPP
Answer:
y = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-2(y - 4) = 18
Step 2: Solve for y
[Distributive Property] Distribute -2: -2y + 8 = 18[Subtraction Property of Equality] Subtract 8 on both sides: -2y = 10[Division Property of Equality] Divide -2 on both sides: y = -5One side of a REGULAR OCTAGON is 19 ft.
What is the PERIMETER of this octagon?
feet.
I
Answer:
152 ft.
Step-by-step explanation:
19*8 = 152
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
José drove from New York to Florida. Resting for 1 hour for every 5 hours he drove. If he drove for 35 hours how many hours did he rest.
Answer:
7 hours
Step-by-step explanation:
He drove 35 total miles so he would rest 35/5 hours. 35/5 is equal to 7 hours.
The answer is that he rested for 7 hours.
The sum of four consecutive integers is -62. What is
the least of the four integers?
9514 1404 393
Answer:
-17
Step-by-step explanation:
Let x represent the smallest of the integers. Then their sum is ...
x +(x+1) +(x+2) +(x+3) = -62
4x +6 = -62 . . . . . . . . . . . . . . . collect terms
4x = -68 . . . . . . . . . .subtract 6
x = -17 . . . . . . . divide by 4
The least of the four is -17.