4x-30= 50
mark me brainliestttt :))
Answer:
The number is 20
Step-by-step explanation:
Let the number be x
Four times the number means = 4x
30 less than the number is 50 means = 4x - 30 = 50
Solve for x :
4x - 30 = 50
4x - 30 + 30 = 50 + 30 [ adding 30 on both sides ]
4x = 80 [ - 30 + 30 = 0 ]
x = 20 [ dividing by 4 on both sides ]
A farmer has a 40-acre farm in Georgia. The farmer is trying to determine how many acres of corn, peanuts, and cotton to plant. Each crop requires labor, fertilizer, and insecticide. The farmer has developed the following linear programming model to determine the number of acres of corn (X1), peanuts (X2), and cotton (X3) to plant in order to maximize profit. Max 550 X1 350 X2 450 X3 s.t. Constraint 1: 2 X1 3 X2 2 X3
Answer:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Step-by-step explanation: INCOMPLETE QUESTION.
As the problem statement establishes: "Each crop requires labor, fertilizer, and insecticide" and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550 ; 350 ; 450 for acres of corn, peanuts, and cotton)
Then z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
labor (h) fertilizer ( tn) Insecticide (Tn)
acres of corn (x₁) 2 4 3
acres of peanut (x₂) 3 3 2
acres of cotton (x₃) 2 1 4
Availability acres 40 120 120 100
Constraints:
1) Size of the farm 120 acres
x₁ + x₂ + x₃ ≤ 40
2) labor 120 h
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
3) Fertilizer 120 Tn
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
4) Insecticide 100 Tn
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
The Model is:
z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
Subject to:
x₁ + x₂ + x₃ ≤ 40
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
x₁ ≥ 0 ; x₂ ≥ 0 ; x₃ ≥ 0
After 3 iterations using an on-line solver optimal solution is:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
factorize for me
y + 3y + 2-sin2x=0
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
A shopping attendant needs to price a large jigsaw puzzle returned by a customer. The customer paid a total of $33.04, including a convenience charge of $1.75 and 10% sales tax on the subtotal. Use the inverse to find the original price of the puzzle. If necessary, round your answer to the nearest cent.
Answer:
28.45
Step-by-step explanation:
33.04-1.75=31.29
31.29/1.10=28.45
I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT
FIND THE VOLUME OF THE CONE
Answer:
[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]
Step-by-step explanation:
•|◉ jess ◉|•#keep learning
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
Complete the square to find the y-value for the minimum value of the function-f(x)=x^2-8x+28
9514 1404 393
Answer:
12
Step-by-step explanation:
The square can be completed by adding and subtracting the square of half the linear term's coefficient.
f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2
f(x) = (x^2 -8x +16) +(28 -16)
f(x) = (x -4)^2 +12
The minimum value of the function is 12, when the squared term is zero.
The equation y=8.50x + 33 can be used to estimate the monthly premium y of a $250,000 term life insurance policy for a male smoker who is more than 40 year old. In this equation, x is the age of a man above 40. For example, a 60 year old male smoker, x =20. Estimate the monthly insurance premium for a 48-year old male smoker. (Show all work)
Answer:
$101
Step-by-step explanation:
Given
[tex]y = 8.50x + 33[/tex]
[tex]x \to[/tex] age above 40
Required
Insurance for 48 years old
First, we solve for x
[tex]x = 48 - 40[/tex]
[tex]x = 8[/tex]
So, we have:
[tex]y = 8.50x + 33[/tex]
[tex]y = 8.50 * 8 + 33[/tex]
[tex]y = 68 + 33[/tex]
[tex]y = 101[/tex]
Can someone plz help..
Answer:
x = 40
3x=120
x+40 = 120
Step-by-step explanation:
The angles are vertical angles which means they are equal
3x= x+80
Subtract x from each side
3x-x =x+80-x
2x = 80
Divide by 2
2x/2 = 80/2
x = 40
3x = 3(40) =120
x+80 = 40+80 = 120
Plz help me solve this thanks
Answer:
y= -6/7
Step-by-step explanation:
.............. I did it, trust me
write the equation to the axis of symmetry for this graph. help??
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m3
Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
[tex]\frac{y^2}{36} -1[/tex]
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
62x+2.63x = 1
Solve
EN
Step-by-step explanation:
answer is in photo above
Answer:
-2/5
Step-by-step explanation:
Yevgenia walks 8 x 2/3 miles every week which fraction represents the number of miles that Yevgenia walks each
Answer:
16/3
Step-by-step explanation:
When multiplyin fractions by whole numbers, you can make the whole number a fraction by simply making the denominator 1, than you will multiply numerators by numerators and denominators by denominators, therefore
8 x 2 = 16
1 x 3 = 3
16/3
Simplify -|-7+4|
O 4
O -1/4
O -4
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Will give brain lest
Answer:
its 2/3 because if u divied the width u get that
Step-by-step explanation:
you welcome i tried
SEE ATTACHED IMAGE, THANK YOU!
Answer:
a)
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value is 0.75
Step-by-step explanation:
Ok, we know that out of 8 cameras, 3 are defective.
So first let's find the probability for a camera randomly selected to be defective.
This is just the quotient between the number of defective cameras and the total number of cameras.
p = 3/8
then the probability that a camera is not defective is:
q = 5/8.
Ok, now we draw 2 cameras at random from the box.
We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.
X = 0 (neither of the cameras is defective)
X = 1 (one of the cameras is defective)
X = 2 (both of the cameras is defective).
Let's find the probabilities for each case.
X = 0.
In this case, we first draw a non-defective camera, with a probability of:
P = 5/8.
The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).
Then the probability now is:
Q = 4/7
The joint probability is the product of the two individual probabilities:
P[0] = P*Q = (5/8)*(4/7) = (5/14)
X = 1
Here we have two cases:
the first is defective and the second is non-defective
the first is non-defective and the second is defective
So we just have a factor of 2, to consider both cases
Assuming the first case
Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras and the total number of cameras:
P = 3/8
For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)
Q = 5/7
The joint probability, taking in account the permutation, is
P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)
finally, for X = 2
This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:
For the first camera:
P = 3/8
For the second camera:
Q = 2/7
Joint probability:
P[2] = (3/8)*(2/7) = 3/28
then we have the table:
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value for an event that has the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability
{p₁, p₂, ..., pₙ}
is defined as:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Then in our case, the expected value is just:
EV = 0*P[0] + 1*P[1] + 2*P[2]
EV = 0 + 15/28 + 2*3/28
EV = (15 + 6)/28 = 21/28 = 0.75
You are given that 3x cubed = 375. Find the value of X
Answer:
375 divided by 3= x. 375/3= 125, the cube root is 5. X=5
Step-by-step explanation:
hope it helped
Answer:
1. 3x^3= 375
2. =>x^3= 375/3
3. => x^3= 125
4. =>x^3=( 5)^3
5. =>x=5
Step-by-step explanation:
No explanation
A home security system is designed to have a 90% reliability rate. Suppose that 6 home equipped with this system experience an attempted burglary. Find the probability that at least two of the alarms are triggered.
Answer:
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
Step-by-step explanation:
For each alarm, there are only two possible outcomes. Either it is triggered, or it is not. The probability of an alarm being triggered is independent of any other alarm, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A home security system is designed to have a 90% reliability rate.
This means that [tex]p = 0.9[/tex]
Suppose that 6 home equipped with this system experience an attempted burglary.
This means that [tex]n = 6[/tex]
Find the probability that at least two of the alarms are triggered.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.9)^{0}.(0.1)^{6} = 0.000001[/tex]
[tex]P(X = 1) = C_{6,1}.(0.9)^{1}.(0.1)^{5} = 0.000054[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.000001 + 0.000054 = 0.000055[/tex]
Then
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.000055 = 0.999945[/tex]
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
Find the area of the circle shown below if the radius is 13 inches. Use 3.14 for π. Use the formula π x R^2
A) None of these answers
B)2,122.64 inches
C)530.66 inches
D)20.41 inches
E)47.1 inches
Answer:
C
Step-by-step explanation:
that is the procedure above
The area of this circle with a radius of 13 inches is, C)530.66 inches
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
A circle with center A is given and the length of the line segment(radius),
AB = AD = AC = 13 inches.
We know, The area of a circle is,
= πr².
= π(13)² sq in.
= 530.66 sq in.
We can also find the perimeter or the circumference of the circle by the formula 2πr,
= 2π×13.
= 26π.
= 81.64 inches.
learn more about circles here :
https://brainly.com/question/11833983
#SPJ7
Which of the following is the net of a pyramid?
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
What would be the answer to this question? I am kinda stuck on this one.
Answer:
C = 16pi
Step-by-step explanation:
C = 2*pi*r where r =8
C =2*pi*8
C = 16pi
Answer:
[tex]c = 16\pi[/tex]
Step-by-step explanation:
1: Substitute:
[tex]c = 2\pi \: r \\ r = 8 \\ c = 2\pi \times 8[/tex]
2: Solve the equation:
[tex]c = 2\pi \times 8[/tex]
Calculate:
[tex]c = 16\pi[/tex]
What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
What is the area of the parallelogram shown?
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
(b) Only one of the sets can contain all five correct answers. If you are guessing, so that you are as likely to choose one sequence of answers as another, what is the probability of getting all five answers correct
Solution :
Given that there is only one set which can contain all the five correct answers. While guessing that I am likely to choose only one sequence of the answers as another, then the probability of getting all the five answers correct is given by :
Given : X [tex]\sim[/tex] binomial [tex]$\left( 5 , \frac{1}{3} \right)$[/tex]
P (X = 5)
[tex]$= \ ^5C_5\left({\frac{1}{3}\right)^5\left(\frac{2}{3}\right)^0$[/tex]
= 0.00412
Thus the probability is 0.00412
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answer:
its c
Step-by-step explanation:
