A factory producing 1200 pounds of chips in four hours will yield 3000 pounds when operating for 10 hours, assuming a consistent production rate.
Explanation:The given problem pertains to rate, which allows the determination of how much of something can be done in a specific amount of time. In this case, the rate of potato chip production is 1200 pounds every four hours. To find out how many pounds of potato chips can be produced in 10 hours, we first need to determine the hourly rate of production.
Firstly, we determine the hourly production rate of the factory by dividing the total produce by the time spent. That is 1200 pounds / 4 hours = 300 pounds/hour.
At this hourly rate, the amount of potato chips that can be produced in 10 hours can be calculated by multiplying the hourly rate by the number of hours, which is 300 pounds/hour * 10 hours = 3000 pounds.
So, a factory that produces 1200 pounds of potato chips in four hours will make 3000 pounds of potato chips in 10 hours.
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After five years of earning interest at an annual rate of 4%, an investment has earned $1,200 in interest. Determine the amount of the initial investment. Show all work for full credit.
Answer:
$6000
Step-by-step explanation:
Let recall
Given the formula I = P*r*t or principal x rate x time
Where I=Interest earned
P=principal, the amount deposited or borrowed
R=the annual interest rate
T=Time frame
Therefore $1200 = Px0.04x5
P = 1200/(0.2)
P = 12000/2 = $6000
The amount of the initial investment id $6000
Systems of equations have one solution. I am thinking sometimes, am I right?
What is the LCM of 24a^3 b and 36ab^2?
12ab
24a 3b^2
36ab
72a 3b^2
Answer:
12ab
Step-by-step explanation:
i got a 100%
please help me with this problem.
In the diagram below, what is the relationship between the number of parallelograms and the perimeter of the figure they form?
The relationship is as you join more parallelograms together, the base length increases, and thus, the perimeter of the figure formed by these parallelograms also increases.
What happens to the parallogram ?The perimeter of each individual parallelogram can be calculated using the formula for the perimeter of a parallelogram:
P = 2(base + side)
P = 2(5 + 4) = 2(9)
= 18 units
The second parallelogram has a base of 10 units and a side length of 4 units. The perimeter of the second parallelogram is:
P = 2(10 + 4) = 2(14)
= 28 units
The perimeter of the third parallelogram is:
= P = 2(15 + 4) = 2(19)
= 38 units
The relationship is such that the perimeter is directly proportional to the number of parallelograms joined together, with each additional parallelogram adding 10 units to the base length and subsequently increasing the perimeter by 20 units.
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Find two positive real numbers whose product is a maximum.
The sum of the first and three times the second is 30
To find two positive real numbers whose product is a maximum, we need to use a mathematical technique called optimization. By solving the given equation and substituting the values back, we can find the two positive real numbers with a maximum product.
Explanation:To find two positive real numbers whose product is a maximum, we need to use a mathematical technique called optimization. Let's define the two numbers as x and y.
Since the sum of the first number and three times the second number is 30, we can write the equation:
x + 3y = 30
To find the maximum product, we need to express the product of x and y in terms of a single variable. We can do this by substituting x = 30 - 3y into the product equation xy = (30 - 3y)y.
Now, we have a quadratic equation: y^2 - 10y + 15. Finding the maximum product corresponds to finding the vertex of this quadratic equation, which occurs when y = 5.
Substituting y = 5 back into the equation x + 3y = 30, we can solve for x: x + 3(5) = 30, x + 15 = 30, x = 15. Therefore, the two positive real numbers with a maximum product are x = 15 and y = 5.
P = 2l 2w to find the length of a rectangle whose perimeter is 57 inches and whose width is 13 inches.
Answer:
the answer is 46 inches
Step-by-step explanation:
i got this question wrong when i put 140 then it told me the answer so i had to redo the question this is the write answer listen to me and get it right the first time :)
Given the graph of the function f(x) below what happens to f x when x is a very small negative number?
The behavior of the function f(x) as x becomes a very small negative number depends on the function's specific characteristics, such as decreasing values on a curve, a linear relationship, or asymptotic behavior.
Explanation:When considering what happens to the function f(x) as x becomes a very small negative number, it depends on the behavior described by the function's equation. If the graph of the function shows a declining curve starting with a maximum at x = 0, as x becomes more negative, f(x) tends to decrease assuming that this behavior continues beyond the given graph. If the graph of f(x) shows a horizontal line between x = 0 and x = 20, this would typically indicate that for small negative values of x, the function would not be defined unless otherwise specified that the function's behavior extends with the same horizontal trend outside the given interval.
Situations such as the behavior of a spring force, described by a function like f(x) = -kx, might lead to a linear decrease as x becomes a small negative number, consistent with Hooke's Law. On the other hand, the presence of asymptotes would indicate that the function's value could grow without bounds as x approaches certain critical values, as seen in the case of a function like y = 1/x.
F(x) when x is a very small positive number then F(x) is a negative number with a small absolute value.
The correct option is (D).
The question shows a graph of a function[tex]\( f(x) \)[/tex]and asks what happens to[tex]\( f(x) \)[/tex] when [tex]\( x \)[/tex] is a very small negative number.
To answer this question, we do not need calculations but rather an interpretation of the graph. When [tex]\( x \)[/tex] is a very small negative number (approaching zero from the left), we need to look at the behavior of the graph as it approaches the y-axis from the left-hand side.
From the graph, it appears that as [tex]\( x \)[/tex] becomes a very small negative number (close to zero), [tex]\( f(x) \)[/tex] increases without bound. This suggests that[tex]\( f(x) \)[/tex]approaches positive infinity.
So, based on the graph, the answer would be:
[tex]\( f(x) \)[/tex] is a very large positive number.
This corresponds to option D on the multiple-choice answers provided.
Please Help!!!!!!!!!
The radius of the base of a cylinder is 3 feet. Is the volume of the cylinder a linear or nonlinear function of the height of the cylinder? ...?
Upon finding all the values, such as amp, the period and any shifts, how would I know how to graph the actual graph, and more importantly, to scale the horizontal axis?
A true-false test consists of 50 questions. how many does a student have to get right to convince you that he is not merely guessing Explain
To convince me that they're not guessing on a true-false test, a student needs to get significantly more than half of the questions right.
Explanation:A true-false test consists of 50 questions. To convince me that he is not merely guessing, a student would need to get significantly more than half of the questions right. If the student gets exactly half of the questions right, that would be the result we would expect from guessing. However, if the student consistently gets more than half of the questions right, it would indicate that they have some knowledge or understanding of the material.
Let's say a student gets 30 out of 50 questions correct. This would be 60% of the questions, which is higher than 50%, indicating that the student is not merely guessing.
Find the height of a square pyramid that has a volume of 75 ft.³ and a base length of 5 feet
what is 60 x 100 give the greatest
Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B starts with $400 and earns 5% simple annual interest.
Question I need help with: Which account has a greater principal, and how much greater is the principal? Which account has a greater annual interest rate, and how much greater is the annual interest weight?
After k payments, the amount A still owed is
A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. The amount of the fixed payment is determined byM = Pi/[q(1-[1+(i/q)]-nq)]. The amount of principal that can be paid off in n years isP = M(1-[1+(i/q)]-nq)q/i. The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid isI = Mnq - P.Confused with a question. Will upvote!
Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
Would it be 4,000 crickets or 64,000 crickets?
Answer:
64000
Step-by-step explanation:
so, you have to double it every three months, so you are doubling is 8 times total. so, when you double 250 the first time you get 500 so then you double that, and you get 1000 the you double that to get 2000 then you double that to get 4000 then you double that again and get 8000 then you double that again to get 16000 then again to get 32000 and the one more time to get your answer 64000
A 56-foot rope is cut into 2 pieces whose lengths are in the ratio 3:. What is the length of the longer piece in feet?
The student should understand how to use the concept of ratios to solve the problem. With a 56-foot length of rope and a ratio of 3:1, each unit is worth 14 feet. Thus, the longer piece, representing 3 units, is 42 feet.
Explanation:The question is essentially asking for one to utilize the concept of ratios in problem solving. Given that a 56-foot rope is cut into two pieces in the ratio 3:1, the lengths of the two pieces would be divided in line with the said ratio. To obtain the lengths of the pieces in feet, you have to add the two parts of the ratio (3+1=4) and then divide the total length by this sum. In this case, 56/4 equals 14 feet. Therefore, one unit of the ratio is equivalent to 14 feet.
Following on, you multiply the first part of the ratio which is 3 by 14 to get the longer piece's length. Thus, the length of the longer piece is 42 feet.
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If 72 is increased by 130 percent what is the result
To increase 72 by 130 percent, convert the percentage to a decimal (1.3), multiply 72 by this number to get 93.6, and then add it back to the original number to get the result of 165.6.
Explanation:To calculate the result of increasing 72 by 130 percent, you multiply 72 by 130% (which is the same as 1.3 in decimal form) and then add it to the original number.
Calculation steps:
Convert the percentage increase to decimal form: 130% = 1.3.
Multiply the original number by this decimal: 72 × 1.3 = 93.6.
Add this value to the original number: 72 + 93.6 = 165.6.
Therefore, when you increase 72 by 130 percent, you get 165.6.
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simplify the expression -196
a) 98
b) -14
c) 14
d) 392
The simplification of the expression -196 is -14 because the square root of 196 is 14 and the initial expression has a negative sign, option b) is the correct answer.
Explanation:The question is asking us to simplify the expression -196. When it says 'simplify', and it's giving us a numerical value, it's most likely referring to finding the square root of a number, since the square root is a number that, when multiplied by itself, gives the original number. In this case, we are looking for the square root of 196, but we must keep in mind the negative sign, which indicates that we are dealing with negative square roots.
Normally, the square root of 196 is 14. However, because there is a negative sign (-) in front of the 196 in this problem, we are actually looking for the negative square root. Therefore, the 'simplified' version of -196 in this case would be -14, which is option (b).
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The Gordons make $49,000 a year and live in West Virginia, which has a median annual income of $37,989. If their monthly expenses amount to $3900 per month, do they qualify for Chapter 7 bankruptcy?
The Gordons' eligibility for Chapter 7 bankruptcy cannot be definitively determined without detailed calculations. While their income is above West Virginia's median income, their high monthly expenses might allow them to pass the bankruptcy means test.
Explanation:To determine whether the Gordons qualify for Chapter 7 bankruptcy, we must consider their income, monthly expenses, and the median annual income for their state. As their income is $49,000 a year, they exceed the median annual income of West Virginia, which is $37,989. Their $3,900 monthly expenses total to $46,800 annually.
Under Chapter 7 bankruptcy, a means test is applied to identify whether the Gordons' income is low enough for eligibility. This test compares the family’s monthly income to the median income of a family the same size. However, it is important to note that not all income is counted in this means test and some deductions are given for various necessary expenses.
In this scenario, the Gordons' income is above the median income for West Virginia. However, their high monthly expenses might still allow them to pass the means test. You would need to calculate whether their income, minus allowable expenses, is still above the median. Without these detailed calculations, it's impossible to definitively say whether the Gordons qualify for Chapter 7 bankruptcy.
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rachel bought 1 3/5 pounds of peaches for $.60 and 3 1/2 pounds of apples for $1.75. which fruit costs more per pound ? explain how you know
Gerry is at dominos and sees that 2 choco-lava cakes cost $50. he needs 6 choco-lava cakes. how much will those 6 choco-lava cakes cost?
Gerry needs to pay $150 for 6 choco-lava cakes which cost $25 each.
Explanation:The subject here is Mathematics, particularly dealing with proportionality. If Gerry sees that 2 choco-lava cakes cost $50, we can say that the price of each choco-lava cake is $50 divided by 2, which is $25 per choco-lava cake. Then, if Gerry needs 6 choco-lava cakes, we take the price of one choco-lava cake ($25) and multiply it by how many cakes he needs, which is 6. So, 6 cakes at $25 per cake give us $150.
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How long is the arc subtended by an angle of 7π/5 radians on a circle of radius 25 cm?
There are 5 fewer trucks than cars in the parking lot. If there are 8 trucks. How many cars are there.
Answer:
13 cars
Step-by-step explanation:
There are 5 fewer trucks than cars in the parking lot. There are 8 trucks in total.
5 less trucks than cars. we need to find number of cars in the parking lot.
Cars are more than trucks. To find the number of cars, we add 5 with the total trucks .
8 trucks + 5 = 13
So there are total of 13 cars .
Solve the equation for x.
-6x + 8x = -46
A) -23
B) 3.2
C) 12
D) 16
A package of baseball cards includes 5 cards how many baseball cards are in 6 packages
24+ =120 divided by 3
To solve the equation 24+?=120 divided by 3, subtract 24 from 40 to find the missing number, which is 16.
Explanation:To solve the equation 24+?=120 divided by 3, we need to find the value of the missing number. We can do this by using the inverse operation of division, which is multiplication. Since 120 divided by 3 is equal to 40, we can subtract 24 from 40 to find the missing number. Therefore, the missing number is 16.
What is the correct solution to the equation? 5(x - 5) = 15
a. 50
b. 2
c. 8
d. 80
Which best describes the formula for the perimeter of a square?
A.
It’s four times the sides.
B.
The formula for the perimeter of a square is 4s.
C.
Square the sides of the square.
D.
4s is the perimeter of a quadrilateral.
given: 1 pail = 4 liters
1 pail = 9 liters
You are going to the river to fetch water. How could you carry 6 liters of water using only this two pails?
note: pails have no permanent calibration. ...?
If the purchase price for a house is $309,900, what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%? a. $729.98 b. $912.48 c. $1,486.41 d. $1,858.01 A. Not to sure, I'm not a math expert. I could be wrong.
Answer:
$1486.41.
Step-by-step explanation:
Purchase price = $309,900
Down payment percent = 20 %
Remaining amount Percentage = 100-20 = 80%
Mortgage amount = [tex]309900 \times 0.80[/tex]
=[tex]247920[/tex]
Formula of monthly payment : [tex]P =\frac{\frac{rM}{1 -(1 +\frac{r}{n})^-{nt}}}{n}[/tex]
where P = the payment,
r = the annual rate =6% = 0.06
M = the mortgage amount = $247920
t = the number of years=30
n = the number of payments per year= 12
Substitute the values.
[tex]P =\frac{\frac{0.06 \times 247920}{1 -(1 +\frac{0.06}{12})^-{12\times 30}}}{12}[/tex]
[tex]P=1486.40566196[/tex]
Hence the monthly payment is $1486.41.
Thus Option C is correct.
Answer:
C
Step-by-step explanation:
Edge 2020 says i was right for the quiz