Answer:
x = 23 and y = 20
Step-by-step explanation:
What i 464 divided by 60 with a remainder?
(trying to figure out how many hour i 464 minute)
When we divide the 464 by 60 we get the following remainder in our answer that is 44.
What do math remainders mean?The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
Briefing :7.733333333333333
=7 44/60 ⇔ 7 R 44
464 divided by 60
=7 with a remainder of 44
Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:
464 divide by 60 yields a quotient and residual of 7 R 44.
464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.
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The weight of a baby dog on day one is 5 kilograms. Every day, the dog grows an additional 0.1 kilograms. How heavy the dog is after 10 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The weight of the dog after 10 days is 5.9 kg.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Weight of the baby on day one = 5 kg
This can be written as,
1 day = 5 kg
The dog grows 0.1 kg each day.
This means,
On the 2nd day, we get,
2 days = 5 + 0.1
2 days = 5.1 kg
The expression for the weight of the dog on n days can be written as,
n days = 5 + (n -1) x 0.1 _____(1)
Now,
After 10 days we get,
n = 10
From (1) we get,
10 days = 5 + (10 - 1) x 0.1
10 days = 5 + 9 x 0.1
10 days = 5 + 0.9
10 days = 5.9 kg
Thus,
The weight of the dog after 10 days is 5.9 kg.
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In the morning 134 books were checked out from the library.in the afternoon 254 books were checked out and 188 books were checked out in the evening.how many books were checked out in the library that day?
Answer:
576 books.
Step-by-step explanation:
134+254+188=576 books in total.
Hopefully this helps!
find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28
What is the next step to inscribe a regular hexagon in Circle O below?
Answer:
draw diameter of the circle
The option second “with compass point at A, construct an arc of length OA intersecting the circle” is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
To construct a regular hexagon in Circle O first mark point A then, with compass point at A, construct an arc of length OA intersecting the circle.
Thus, the option second “with compass point at A, construct an arc of length OA intersecting the circle” is correct.
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Suppose the 95% confidence interval for the average balance carried by customers who accept a certain credit card offer is ($1400, $2000). Which of the following is true? The mean balance of all customers could be $1000. 95% of all customers keep a balance of $1400 to $2000. The mean balance of 95% of samples of this size will fall between $1400 and $2000. The mean balance of all customer is between $1400 and $2000.
Answer:
Ste1p-by-step explanation:
1330
Jeremiah writes the expression 40 minus (startfraction 1 over 10 endfraction times 40) to determine the number of questions answered correctly. Which is an equivalent expression? startfraction 9 over 10 endfraction times 40 40 minus 36 (startfraction 1 over 10 endfraction times 40) minus 40 (40 minus startfraction 1 over 10 endfraction) times 40.
Here on solving the give problem, with help of BODMAS , we get the answer = 36
What does math's Bodmas rule mean?The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule are used.
What distinguishes Pemdas and Bodmas from one another?Teachers in the United States often remind their pupils about the acronym PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction. BODMAS, which stands for brackets, ordering, division and multiplication, as well as addition and subtraction, is another acronym used by educators.
Here we have ,
\(40 - \frac{1}{10} X 40\)
\(40 - \frac{40}{10}\) ( here we solved multiplication first)
\(40 - 4\\\) ( Now we solved division)
36.
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Answer:
Step-by-step explanation:⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
A professional athlete wants to tile his bedroom in solid gold. Each square tile will be 16
inches long and 1/4 inches thick. If the density of gold is 11. 17 ounces per cubic inch and
the price of gold is $1,303. 80 per ounce, how much will each tile cost? Round your
answer is the nearest dollar.
To calculate the cost of each tile, we need to first determine the volume of each tile. The length and width of the tile are given as 16 inches, and the thickness is given as 1/4 inches, which can be converted to 0.25 inches. Therefore, the volume of each tile is 16 x 16 x 0.25 = 64 cubic inches.
Next, we need to determine the weight of gold in each tile. Since the density of gold is 11.17 ounces per cubic inch, the weight of gold in each tile is 64 x 11.17 = 715.68 ounces.
Finally, we can calculate the cost of each tile by multiplying the weight of gold by the price of gold per ounce. The price of gold is given as $1,303.80 per ounce, so the cost of each tile is 715.68 x $1,303.80 = $933,526.78. Rounded to the nearest dollar, each tile will cost $933,527.
In summary, each square tile made of solid gold and measuring 16 inches long and 1/4 inches thick will cost approximately $933,527. This cost is based on the density of gold, which is 11.17 ounces per cubic inch, and the price of gold, which is $1,303.80 per ounce.
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what does it mean when a negative number is in parentheses?
Usually negative numbers are in parentheses so people don't think that it is subtraction.
The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.
When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.
In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.
For example:
(-3) means negative three, which is the same as 3 but with a negative sign.
-(5 + 2) means the negative of the sum of 5 and 2, which is -7.
-x means the negative of the variable x.
In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.
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Suppose a political advisor is interested in the proportion of the vote an opponent will receive. If he samples voters randomly and tests hypotheses regarding p, the population proportion, what should he do to reduce his risk of making a Type II error
This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.
Suppose a political advisor is interested in the proportion of the vote an opponent will receive. If he samples voters randomly and tests hypotheses regarding p, the population proportion, he should do the following to reduce his risk of making a Type II error:To reduce the risk of making a Type II error, a political advisor interested in the proportion of the vote an opponent will receive, if he samples voters randomly and tests hypotheses regarding p, the population proportion should ensure that he has a larger sample size for testing. A larger sample size can help in making his results statistically significant and that the results are a true representation of the population.Proper sampling can also help to reduce the risk of a Type II error. Random sampling of the voters ensures that there is no bias in the selection process, which can skew the results. A random sample of voters is a fair representation of the population, and results obtained from a random sample are more likely to be accurate. This reduces the likelihood of a Type II error.The advisor should also increase the alpha level to reduce the risk of a Type II error. By increasing the alpha level, he is lowering the rejection region, which will reduce the likelihood of a Type II error. This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.
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i need the standard form of seventy billion nine hundred milion sixty Thousand seven thousebth eight hundred ninty nine and one three
Answer:
7e+10 + 9e+8 + 6.7e+4 + 8.99 × 10 to the power of 2 + 1/3.
Step-by-step explanation:
Angles A and B are supplementary. Angle A is equal to 20 degrees plus x, while Angle B is equal to 10 degrees plus 2 x. What is x?
Answer:
50 degrees
Step-by-step explanation:
Given
<A = 20 + x
<B = 10+2x
Since <A and <B are supplementary then the sum of their angles is 180 degrees
<A + <B = 180
20+x + 10+2x = 180
30+3x = 180
3x = 180-30
3x = 150
x = 150/3
x = 50 degrees
Hence the value of x is 50 degrees
Make q the subject of the relation
Answer:
q = rt²÷ p-r³
Step-by-step explanation:
If you are smart enough, you will grab the gist
How do you do 10? Give me explanation
Answer:
1/10
Step-by-step explanation:
Percent spent on cable TV = 10%
Percent means "per hundred".
So, we can write 10% as,
10/100
= 1/10
So the family spent 1/10 of their total budget on cable TV.
Consider the vector space C [0, 1] with inner product (f, g) = integral^1_0 f (x) g (x) dx. Determine whether the function f (x) = 3x is a unit vector in this space. If it is, then show that it is. If it is not, then find a function that is. (b) Find in exact form the cosine of the angle between f (x) = 5x^2 and g (x) = 9x.
The answer is A. The function g(x) = x is a unit vector in the vector space C[0, 1] and B. The cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x is 15 /\((2\sqrt{15})\).
To determine whether the function f(x) = 3x is a unit vector in the vector space C[0, 1] with the given inner product, we need to calculate its norm or magnitude.
The norm of a function f(x) in this vector space is defined as ||f|| = sqrt((f, f)), where (f, f) is the inner product of f with itself.
Using the inner product given, we can calculate the norm of f(x) as follows:
\(||f|| = sqrt(integral^1_0 (3x)^2 dx)\\= sqrt(integral^1_0 9x^2 dx)\\= sqrt[9 * (x^3/3) | from 0 to 1]\)
= sqrt[9/3 - 0]
= sqrt(3).
Since the norm of f(x) is sqrt(3) ≠ 1, we can conclude that f(x) = 3x is not a unit vector in this vector space.
To find a function that is a unit vector, we need to normalize f(x) by dividing it by its norm. Let's denote this normalized function as g(x):
g(x) = f(x) / ||f||
= (3x) / sqrt(3)
= sqrt(3)x / sqrt(3)
= x.
Therefore, the function g(x) = x is a unit vector in the vector space C[0, 1].
(b) To find the cosine of the angle between \(f(x) = 5x^2\) and g(x) = 9x, we can use the inner product and the definition of cosine:
cos(θ) = (f, g) / (||f|| ||g||).
Using the given inner product, we have:
\((f, g) = integral^1_0 (5x^2)(9x) \\\\dx= 45 * integral^1_0 x^3 \\\\dx= 45 * (x^4/4 | from 0 to 1)\)
= 45/4.
The norms of f(x) and g(x) are:
\(||f|| = sqrt(integral^1_0 (5x^2)^2 dx)\\= sqrt(integral^1_0 25x^4 dx)\\= sqrt[25 * (x^5/5) | from 0 to 1]\)
= sqrt(5).
\(= sqrt(integral^1_0 81x^2 dx)\)
\(= sqrt(integral^1_0 81x^2 dx)\)
\(= sqrt[81 * (x^3/3) | from 0 to 1]\)
\(= 3\sqrt{3}\)
Substituting these values into the cosine formula:
cos(θ) = (45/4) / (sqrt(5) * 3√3)
\(= (15/2) * (1 / (sqrt(5) * √3))= (15/2) * (1 / √15)= (15/2) * (1 / (√3 * √5))= 15 / (2√15).\)
Therefore, the cosine of the angle between \(f(x) = 5x^2 and g(x) = 9x is 15 / (2\sqrt{15}).\)
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answer the question please
Answer:
The answer for the Values are:
A
D
E
Step-by-step explanation:
Since when you square the options in A D and E they can not be easily divided by 2
Consider line segment AC, such that A (-5, 4) and C (4, -5). Find the coordinates of the point B that partitions the segment such that AB:BC is 1:2.
Answer: Therefore, the coordinates of point B that partitions the segment AC such that AB:BC is 1:2 are (1.17, -2.17).
Step-by-step explanation:
Let's first find the coordinates of the midpoint of AC, which will be the coordinates of point B if AB:BC is 1:2.
The x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of C) / 2 = (-5 + 4) / 2 = -0.5
The y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of C) / 2 = (4 - 5) / 2 = -0.5
So the midpoint of AC is B(-0.5, -0.5).
Now we can find the coordinates of A by using the midpoint formula:
The x-coordinate of A = (2 * x-coordinate of B + x-coordinate of C) / 3 = (2 * (-0.5) + 4) / 3 = 1.17
The y-coordinate of A = (2 * y-coordinate of B + y-coordinate of C) / 3 = (2 * (-0.5) - 5) / 3 = -2.17
So the coordinates of point A are (1.17, -2.17).
Therefore, the coordinates of point B that partitions the segment AC such that AB:BC is 1:2 are (1.17, -2.17).
Seven people are in the pool who each have expected payouts of $8,600 for the year. One more person is added to the pool whose expected payout is $14,000 per year. How much is the average expected payout for each member of the group of eight? Expected Payout for each member of the group is $
Step-by-step explanation:
Seven people are in the pool who each have expected payouts of $8,600 for the year. One more person is added to the pool whose expected payout is $14,000 per year. How much is the average expected payout for each member of the group of eight? Expected Payout for each member of the group is $
The graph of a polynomial function is shown. Which statement about the polynomial is true?
Answer:
The degree is odd and the leading coefficient is positive.
Step-by-step explanation:
Clearly from the graph of the polynomial function we see that both the ends of the graph are in the opposite directions.
This means that the degree of the polynomial is odd.
( Since in even degree polynomial both the ends are in the same direction )
Also, the leading coefficient of the polynomial is positive.
Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:
when x → -∞ p(x) → -∞
and when x → ∞ p(x) → ∞
Melissa is a software saleswoman. Her base salary is $2100, and she makes an additional $80 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of copies of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 27 coples of History is Fun.
Solve for x.
2x
3 = 12
My Answer:
Answer:
x = 2
Step-by-step explanation:
lets see 2 times 2 is 4 and 4 times 3 is 12
there u go kid lol
hope this helps
have a great day
im brooke btw
lol
brainliest?
Answer:
6x
Step-by-step expla
A line crosses through the points (0,2) and (-10, -16) Which of the following is the slope of the line?
A
\( \binom{9}{5} \)
b
\( - \binom{9}{5} \)
c
\( \binom{1} {3} \)
d
\( \binom{5}{9} \)
Answer:
9/5
Step-by-step explanation:
The slope between the two points can be found by ...
m = (y2 -y1)/(x2 -x1)
m = (-16-2)/(-10-0) = -18/-10
m = 9/5
The slope of the line is 9/5. Perhaps this is a match to choice A.
Answer: 9/5
m = (y2 -y1)/(x2 -x1)
m = (-16-2)/(-10-0) = -18/-10
m = 9/5
Solve y3 = −8. Please help im desperate
Answer:
-2
Step-by-step explanation:
y^3=-8.
y=cube root of -8 = -2
Draw a quadrilateral that is not a rectangle that has an area of 18 square units. Show how you know the area is 18 square units
Answer:
Step-by-step explanation:
Help. IM SO LOST ON THIS! ;(
Answer:
1. 4\(\frac{2}{3}\)
Step-by-step explanation:
For question 1, you need to know the ratio between the recipe and the amount in question.
So if in the recipe, it says it uses 3/4 cup of diced ham, and the question uses 1 cup of diced ham, you can divide 1 by 3/4 to get 4/3. This is how many times bigger the amount used in the question than the recipe.
Then it asks for how many cups of potatoes, to do this, you look at the recipe and how many potatoes it uses: 3.5 cups
To solve it then, you just do 3.5 x 4/3 to get 4\(\frac{2}{3}\) cups of potatoes
There's your answer.
Given the conditional statement: "If it is Wednesday, then Kayden doesn't
have baseball practice." What is the hypothesis of this statement? *
Answer:
if it's wednesday
Step-by-step explanation:
68% of all students at a college still need to take another math class. If 49 students are randomly selected, find the probability that a. Exactly 32 of them need to take another math class. b. At most 31 of them need to take another math class. c. At least 35 of them need to take another math class. d. Between 31 and 39 (including 31 and 39) of them need to take another math class.
To calculate the probabilities in the given scenarios, we need to use the binomial distribution formula. The binomial distribution is applicable when we have a fixed number of trials, each trial has two possible outcomes, and the trials are independent. We will use the formula to calculate the probabilities of the desired outcomes based on the given information.
Given that 68% of all students still need to take another math class, we can conclude that the probability of a student needing another math class isp = 0.68. The probability of a student not needing another math class is q = 1 - p = 0.32.
(a) To find the probability that exactly 32 students need to take another math class, we use the binomial probability formula: P(X = k) = C(n, k) * p^k * q^(n-k), where n is the number of trials (49 in this case), k is the desired number of successes (32 in this case), and C(n, k) represents the number of ways to choose k successes from n trials. Calculate P(X = 32) using these values.
(b) To find the probability that at most 31 students need to take another math class, we sum the probabilities of the desired outcomes from 0 to 31: P(X ≤ 31) = P(X = 0) + P(X = 1) + ... + P(X = 31).
(c) To find the probability that at least 35 students need to take another math class, we subtract the probability of the complement event (at most 34 students) from 1: P(X ≥ 35) = 1 - P(X ≤ 34).
(d) To find the probability that between 31 and 39 students (inclusive) need to take another math class, we sum the probabilities of the desired outcomes from 31 to 39: P(31 ≤ X ≤ 39) = P(X = 31) + P(X = 32) + ... + P(X = 39).By plugging in the appropriate values into the binomial probability formula and performing the necessary calculations, we can find the probabilities for each scenario.
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Charlene and Gary want to make soup. In order to get the right balance of ingredients for their tastes they bought 2 pounds of potatoes at $4.58 per pound, 4 pounds of cod for $4.21 per pound, and 5 pounds of fish broth for $2.78 per pound. Determine the cost per pound of the soup. GOLD The cost per pound of the soup is $ (Round to the nearest cent.)
According to the information the cost per pound of the soup is $3.63.
How to determine the cost per pound of the soup?To determine the cost per pound of the soup, we need to calculate the total cost of all the ingredients and then divide it by the total weight of the soup.
The cost of 2 pounds of potatoes is $4.58 per pound, so the cost for potatoes is 2 pounds * $4.58/pound = $9.16.The cost of 4 pounds of cod is $4.21 per pound, so the cost for cod is 4 pounds * $4.21/pound = $16.84.The cost of 5 pounds of fish broth is $2.78 per pound, so the cost for fish broth is 5 pounds * $2.78/pound = $13.90.So, the total cost of the soup is $9.16 + $16.84 + $13.90 = $39.90.
Additionally we have to caltulate the total weight of the soup as is shown:
2 pounds + 4 pounds + 5 pounds = 11 pounds.Finally, to find the cost per pound of the soup, we divide the total cost ($39.90) by the total weight (11 pounds):
Cost per pound of the soup = $39.90 / 11 pounds = $3.63 (rounded to the nearest cent).Therefore, the cost per pound of the soup is $3.63.
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Colette ha an exterminator viit regulary to control an ongoing cockroach 3,800 15% 3 year
If the initial population is 3800. The population of cockroaches after 3 years will be 1603.
Consider the function:
y = a(1 ± r)ⁿ
where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, there is exponential growth happening by r fraction or r%.
If there is a minus sign, there is exponential decay happening by r fraction or r%.
If the population is currently 3,800 cockroaches.
The expression is given as
y = 3800(0.75)ⁿ
The population of cockroaches after 3 years will be
y = 3800(0.75)³
y = 3800 x 0.4218
y = 1603.125
y ≅ 1603
Hence, the population of cockroaches after 3 years will be 1603.
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The complete question is:
Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $125.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.
Both companies will charge the same for 16 tons of sugar.
Given that;
The Sugar Sweet Company will choose from two companies to transport its sugar to market, and the first company charges $2804 to rent trucks plus an additional fee of $125.5 for each ton of sugar, while the second company does not charge to rent trucks but charges $300.75 for each ton of sugar,
Hence, to determine for what amount of sugar do the two companies charge the same, and what is the cost when the two companies charge the same, the following calculation must be made:
Company 1 =
2804 + 125.50x
For company 2;
300.75x
Hence,
2804 + 125.50x = 300.75x
2804 = 175.25x
x = 2804 / 175.25
x = 16
Therefore, both companies will charge the same $3,860.50 for 16 tons of sugar.
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Complete question;
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $2804 to rent trucks plus an additional fee of $125.50 for each ton of sugar. The second company does not charge to rent trucks but charges $300.75 for each ton of sugar.
For what amount of sugar do the two companies charge the same?