3. a bag of potatoes weighs 50 lbs divided by half of its weight. how much does the bag of potatoes weigh?
Answers
The bag of potatoes weighs 40 pounds.
The problem can be solved using algebraic equations. Let x be the weight of the bag of potatoes. The problem states that the weight of the bag is equal to 50 divided by half of its weight, or 50/(x/2). We can set up the equation:
x = 50/(x/2)
Multiplying both sides by x/2, we get:
x^2/2 = 50
Multiplying both sides by 2, we get:
x^2 = 100
Taking the square root of both sides, we get:
x = ±10
Since the weight of the bag cannot be negative, we take the positive value, which is x = 10. Therefore, the bag of potatoes weighs 40 pounds (50 divided by half of 40 is equal to 40).
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Related Questions
i need help please, this question has been giving me a headache.
Answers
Answer:
The first box (upper left corner)
Step-by-step explanation:
Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.
Example:
y = 3x + 2 (0,2) is the y-intercept.
Therefore, the second number must equal 1/4 which the first box is correct.
(Negative 1/4 multiplied by -1 equals positive 1/4)
A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 1100 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 48.1 degrees. The angle of elevation from sea level to the top of the lighthouse is 50.5 degress. Find the height of the lighthouse from the top of the cliff.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Answers
We can use the tangent function to solve for the height of the lighthouse.
Let h be the height of the lighthouse from the top of the cliff.
tan(50.5 degrees) = (h + x) / 1100
tan(48.1 degrees) = h / 1100
We can divide the first equation by the second equation to get:
(h + x) / h = tan(50.5 degrees) / tan(48.1 degrees)
then we can simplify it by cross multiplying and canceling out h
h + x = (h * tan(50.5 degrees)) / tan(48.1 degrees)
then we can substract h from both sides
x = (h * tan(50.5 degrees)) / tan(48.1 degrees) - h
then we can substitute x = 1100
1100 = (h * tan(50.5 degrees)) / tan(48.1 degrees) - h
then we can add h to both sides
1100 + h = (h * tan(50.5 degrees)) / tan(48.1 degrees)
then we can multiply both sides by tan(48.1 degrees)
1100tan(48.1 degrees) + htan(48.1 degrees) = h * tan(50.5 degrees)
then we can divide both sides by tan(48.1 degrees)
h = (1100 * tan(48.1 degrees) + h * tan(48.1 degrees)) / tan(50.5 degrees)
after substituting the values we get:
h = (1100 * tan(48.1) + h * tan(48.1)) / tan(50.5)
we can round it to the nearest tenth
h = (1100 * tan(48.1) + h * tan(48.1)) / tan(50.5)
then we can use a calculator to get the exact number
h ≈ 191.5
Therefore, the height of the lighthouse from the top of the cliff is 191.5 meters.
figure O is the result of a transformation on figure N. which transformation would accomplish this.
a. a rotation 90 clockwise about the orgin
b. a translation 5 units and 2 units down
c. a rotation 90 counterclockwise about the orgin
d. a translation 5 units left and 2 units up
Answers
Answer:
b. a translation 5 units [right] and 2 units down
Step-by-step explanation:
Start with Figure N. The figure is now transformed into Figure O. Notice that Figure O has the same size, shape, and orientation as Figure N. That means there is no scaling, no mirror reflection, and no rotation. There is only a translation.
The upper right vertex of Figure N is now the upper right vertex of Figure O.
The coordinates of the upper right vertex went from (0, 4) to (5, 2).
The x-coordinate went from 0 to 5.
5 - 0 = 5
A translation of 5 in x is a translation of 5 units to the right.
The y-coordinate went from 4 to 2.
2 - 4 = -2
A translation of -2 in y is a translation of 2 units down.
Answer: b. a translation 5 units [right] and 2 units down
(I think you left out the word "right" in choice b.)
The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
The given two figures are formed by the transformation.
The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.
So, the transformation of x coordinate is,
\(1-(-4)=5\rm\;units\)
And transfrmation of y coordinate is,
\(-1-1=-2\rm\;units\)
The figure is not rotated at any angle as they both are identical in orientation.
From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).
Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.
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A group photograph of a family of six (4children and their parents)is to be taken.if the parents must occupy the two middle seats.then the number of different arrangements is
Answers
Answer:
Let's find the number of arrangements with mother and father together, say N & then subtract it from total number of arrangements.
Total arrangements = 6! = 720.
Now, as mother & father are together, let's treat mother and father as a single person. Now, there're 5 persons.
Number of arrangements in this way = 5! = 120.
But mother and father can change their places in 2! = 2 ways.
N = 120 × 2 = 240.
Ans. = 720-240 = 480.
Step-by-step explanation:
F(x) = x+3/x find inverse
Answers
I am unable to solve this problem.
Anyone please help asap
Answers
Answer:
Step-by-step explanation:
area of the big square plus the area of the little rectangle.
total area = s² + bh
= 7² + (4)(3) ft²
Find the slope between these two points (3,-1) and (-2, 9)
02
O-2
ol
Answers
The perimeter of a right triangle is 60 feet and the area is 150 square feet. If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle? A. 500 ft. B. 600 ft. C. 7120 ft. D. 8640 ft.
Answers
Answer:
B. 600 ft
Step-by-step explanation:
The formula for the Perimeter of a right triangle = Side a + Side b + Side c
The perimeter of a right triangle is 60 feet
If the lengths of the sides of the triangle are each multiplied by 10, what is the perimeter of the new right triangle?
Hence, the perimeter of the new right triangle = 10 × 60ft
= 600ft
Option B is the correct Option.
Answer:
600
Step-by-step explanation:
Which data set has the greatest spread for the middle 50% of its data?
A.
{18, 13, 22, 17, 21, 24}
B.
{17, 19, 22, 26, 17, 14}
C.
{13, 17, 12, 21, 18, 20}
D.
{18, 21, 16, 22, 24, 15)
Answers
Answer:
The answer is (c) {13, 17, 12, 21, 18, 20}.
Step-by-step explanation:
The given data sets are:
{18, 13, 22, 17, 21, 24},
{17, 19, 22, 26, 17, 14},
{13, 17, 12, 21, 18, 20}
and
{18, 21, 16, 22, 24, 15}.
To find the greatest spread for the middle 50%, we need to find the Interquartile range for all the data sets and check which one is highest.
For first set, Interquartile range (IQR) = 22 - 17 = 5.
For second set, IQR = 22 - 17 = 5.
For third set, IQR = 20 - 13 = 7
and
for fourth set, IQR = 22 - 16 = 6.
Since IQR is highest for the third data, so the correct option is (c) {13, 17, 12, 21, 18, 20}.
Hope it helps
Mark as brainliest
Answer:
{13, 17, 12, 21, 18, 20}
Step-by-step explanation:
Suppose that E(X) = E(Y) = 1, Var(X) = 2, Var(Y) = 3 and Cov(X, Y) = 1. (a) What are E(0.1X + 0.9) ) and Var(0.1X + 0.9Y)? (b) For what value of w is Var(wX + (1-w)Y) minimized? Suppose that X is the return on one asset and Y is the return on a second asset. Why would it be useful to minimize Var(wX + (1-w)Y)?
Answers
a) To find E(0.1X + 0.9)-1, Var 2.45. and b) By minimizing the variance, we can find the optimal combination of assets that balances risk and return. This can help investors make informed decisions and construct portfolios that align with their risk tolerance and investment objectives.
(a) To find E(0.1X + 0.9), we can use the linearity of expectation. We multiply the constants with the respective expectations:
E(0.1X + 0.9) = 0.1 * E(X) + 0.9 * E(Y) = 0.1 * 1 + 0.9 * 1 = 0.1 + 0.9 = 1.
To find Var(0.1X + 0.9Y), we need to use the properties of variance. Since X and Y are independent, Var(0.1X + 0.9Y) = (0.1)^2 * Var(X) + (0.9)^2 * Var(Y) = 0.01 * 2 + 0.81 * 3 = 0.02 + 2.43 = 2.45.
(b) To minimize Var(wX + (1-w)Y), we need to find the value of w that minimizes the expression. We can do this by taking the derivative of Var(wX + (1-w)Y) with respect to w and setting it to zero. By solving this equation, we can find the value of w that minimizes the variance.
Minimizing Var(wX + (1-w)Y) would be useful when selecting a portfolio of assets. A lower variance indicates lower risk. By minimizing the variance, we can find the optimal combination of assets that balances risk and return. This can help investors make informed decisions and construct portfolios that align with their risk tolerance and investment objectives.
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Select all of the roots of x3 + 2x2 – 16x– 32.
Answers
Answer:
-2,-4,4
Step-by-step explanation:
just did edjunity
The root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.
What is root?Root is defined as a formula or number that, in most cases, represents the answer to an equation. There are some steps which are used to find the root. Divide the supplied number into its prime factors as the first step. Form similar factor pairings in which both factors are equal. This is step two. Take one element from the pair in step three. Calculate the product of the factors you got by taking one from each pair of factors if fourth step.
The equation is as follows: x3 + 2x2 - 16x - 32.
The equation's roots must all be located.
x3 + 2x2 - 16x - 32 = x2(x + 2) after common terms are removed.
- 16 (x + 2) = (x2 - 16)(x + 2)
We are aware that (a2-b2) = (a-b)(a+b)
So, (x2 - 16) = (x - 4)(x + 4)
x3 + 2x2 - 16x - 32 = (x + 2)(x - 4)(x + 4) is the result now.
To get the roots, use the formulas:
= (x + 2) = 0
x = -2 = (x - 4) = 0
x = 4 = (x + 4) = 0
x = -4
Thus, the root of the given equation x3 + 2x² - 16x - 32 is -2, -4 and 4.
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what is the probability that a student has a gpa under 2.0 given that he or she has skipped many classes?
Answers
The probability that a student has a GPA under 2.0 given that he has skipped many classes is 8/11.
From the table we see that,
The student who have a GPA under 2.0 = 80
The student who has skipped many classes = 80 + 25 + 5
The student who has skipped many classes = 110
Hence, the probability that a student has a GPA under 2.0 given that he has skipped many classes = The student who have a GPA under 2.0/The student who has skipped many classes
The probability that a student has a GPA under 2.0 given that he has skipped many classes = 80/110
The probability that a student has a GPA under 2.0 given that he has skipped many classes = 8/11
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The complete question is:
One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes.
What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?
A. 0.080
B. 0.281
C. 0.285
D. 0.314
E. 0.727
A survey was conducted to find the possible relationship between age groups and the most favored of three book genres. The data is representedin the frequency table.MotivationalDo-It-YourselfTotalBiographies1101134026321-30 years31-40 years804421995· 10741-50 years9269268Total285153312750To the nearest tenth, what percentage of people were in the 41 – 50 age group and favored the Do-It-Yourself books?
Answers
The Solution.
The total number of people surveyed = 750.
The number of age group 41 - 50 that favored the Do-It-Yourself books = 69
The percentage of the people in age group 41 - 50, and favored the Do-It-Yourself books is calculated as below:
\(\frac{69}{750}\times100=9.2\approx9\text{ \%}\)Hence, the correct answer is 9 percent.
(4x + 8) + (7x + 3) =
plsss help me and tell me the answerrrr
Answers
Answer:
11x+11
Step-by-step explanation:
4x+8+7x-3=11x+11
Hope this helps :D
Answer:
11x + 11
Step-by-step explanation:
( 4x + 8 ) + ( 7x + 3 )
Remove parenthesis;
Note: Remember, the associate property states that if an equation is either all multiplication or addition, then it can be done in any order, hence the parenthesis holds no weight in this case.
4x + 8 + 7x + 3
Combine like terms;
11x + 11
A Ferris wheel is 28 meters in diameter and boarded in the six o'clock position from a platform that is 4 meters above the ground. The wheel completes one full revolution every 6 minutes. At the initial time t=0 you are in the twelve o'clock position.
Answers
The height of the rider at any time t after the initial time t=0, in meters above the ground is h = 18 - 14*sin((π/3)*t)
How to find the height of the ground?The radius of the Ferris wheel is half the diameter, so it is 14 meters.When the Ferris wheel is at the six o'clock position, the bottom of the wheel is at a height of 4 meters above the ground, so the highest point of the wheel is 4 + 14 = 18 meters above the ground.The circumference of the Ferris wheel is π times the diameter, so it is 28π meters.The Ferris wheel completes one full revolution every 6 minutes, which means its angular velocity is 2π/6 = π/3 radians per minute.Now, let's consider the position of the rider at some time t after the initial time t=0.
We can find the angle that the rider has traveled around the wheel by multiplying the angular velocity by the time elapsed:
θ = (π/3) * t
To find the vertical position of the rider at this angle, we can use the sine function, since the height of the rider on the Ferris wheel varies sinusoidally as the wheel rotates:
h = 18 - 14*sin(θ)
Plugging in the expression for θ, we get:
h = 18 - 14*sin((π/3)*t)
This formula gives the height of the rider at any time t after the initial time t=0, in meters above the ground.
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Write 6 1/6 as an improper fraction
Answers
Answer:
37/6
Step-by-step explanation:
The improper fraction is 37/6.
What is improper fraction?
An improper fraction is defined as a fraction whose numerator is greater than the denominator. Suppose, x/y is an improper fraction, such that x > y. It is therefore, the improper fraction is always greater than one.
Fractions have two parts, numerator and denominator. If ⅓ is a fraction, then 1 is the numerator, and 3 is the denominator. An improper fraction has a numerator greater than the denominator. For example, 3/2 is an improper fraction.
Given fraction is \(6\frac{1}{6}\)
firstly we will multiply 6 by 6 and then we will add 1
(36+1)/6
= 37/6
Which is improper fraction.
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i don’t I understand please help
Answers
A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70 cm long, correct to the nearest 10
What is the largest number of fence posts that can possibly be cut from the log?
Answers
The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)
What is word problem?A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm
Therefore;
1m = 100cm
16m = 16× 100 = 1600 cm
Therefore the maximum number of fence post that can be obtained is
1600/70 = 160/7
= 23.8 ( nearest tenth)
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Find the value of x for which / || m
Answers
Answer:
x = 26
Step-by-step explanation:
The volume of air in a balloon is represented by the function v(r)=4/3 pi ^3, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.
Answers
ANSWERS IN MY QUESTION :)
Which of the following are the x-intercepts on the graph of the function shown below?
f(x) = 3(x+3)(x- 5)
A. 3
B. -3
C. 5
D. -5
The answers are B. -3 and C. 5!!!!!!
Answers
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Answers
Please help Me ASAP!!!!!!!!!
Answers
Answer:
to make one tortilla, you need 0.75, or 3/4 cup of flour for every 1 cup of water
Step-by-step explanation:
900% of what number is 7650
Answers
Answer:850!
Step-by-step explanation:
We have, 900% × x = 7650
or, 900/100 × x = 7650
Multiplying both sides by 100 and dividing both sides by 900,
we have x = 7650 × 100900
x = 850
If you are using a calculator, simply enter 7650×100÷900, which will give you the answer.
Make x the subject of the formula
y = a-x
Answers
The subject of the formula for variable is x = y+ a.
What is Algebra?Algebra is the branch of mathematics that represents problems in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
y = a-x
Now, we have to find the x as subject of the formula
By meaning of subject of the formula we have to focus on the variable 'x'.
we have to create a formula through which we can find the value of x
So, the created formula for x is
x= y +a
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10th GRADE
GEOMETRY
PLEASE HELP
Answers
l4ynhrnhebegbyev3tv3tv3tv3g 3f eg ef ev3tv3tv
A number n square plus 12 is the same as the
quotient of p and 4.
Answers
Answer:
n² + 12 = p/4
or
n² + 12 = p ÷ 4
Step-by-step explanation:
The number n is squared, and you have to add 12 to complete the equality. So n squared plus 12 will equal p divided by 4.
Please help! I will mark as brainliest IF answer is right. <3
Answers
Answer:
sorry I don't know hehe
Step-by-step explanation:
u don't care beach
Help me please with this question
Answers
The distance between the two points (2, 6) and (7, -6) will be 13 units.
What is the distance between two points?Let one point be (x, y) and another point be (h, k). Then the distance between the points will be
D² = (x - h)² + (y - k)²
A right triangle with the two points forming the hypotenuse. The two points are given below.
(2, 6) and (7, -6)
Then the distance between the points (2, 6) and (7, -6) will be given as,
D² = (7 - 2)² + (-6 - 6)²
D² = 5² + (-12)²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (2, 6) and (7, -6) will be 13 units.
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What is the place value of 9 in 194.6 (full explanation is NOT neccesarry!)
Answers
I need to do 20 characters so im writing this