56, 539 divided 8 long division
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Related Questions
A cube has a side length of 20 in . find the value
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Whitney eats a bowl of granola for breakfast every morning she wonders how much granola she eats in one year if Whitney eats about 48 oz a 48 oz bag of granola every month how many pounds of Bruno it does she eat each year
Answers
Given:
48 ounce bag of granola per month.
The objective is to calculate the number of pounds of granula per year (12 months).
First, let's convert the unit of ounce to pounds.
\(\begin{gathered} 1\text{ ounce=}0.0625\text{ pounds} \\ 48\text{ ounce=48}\times0.0625\text{ pounds} \\ 48\text{ ounce=}3\text{ pounds} \end{gathered}\)So, for 1 month 3 pounds of granola is consumed.
Then, for 12 months,
\(\begin{gathered} \text{For 12 months=12}\cdot3 \\ =36\text{ pounds} \end{gathered}\)Hence, for one year Bruno ate 36 pounds of granola.
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
20%. Find
1) the cost price of the article
2)the selling price of the article
Answers
Answer:
The cost price of the article was Nu 1,000
The original selling price was Nu 1,120
The second selling price was Nu 1,200
Step-by-step explanation:
System of Equations
Let's call:
x = Original selling price of the article
y = Cost of the article
The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:
0.12y = Original profit
Setting up the equation, we have:
\(x-y=0.12y\)
The second condition states the selling price is 80 Nu more than before, that is:
x+80= Second selling price of the article
y = Cost of the article (it doesn't change)
The profit of this condition is 20%, thus:
0.2y = Second profit
This produces a second equation:
\(x+80-y=0.2y\)
Let's put both equations together to form a system of equations:
\(x-y=0.12y\)
\(x+80-y=0.2y\)
Operating on both equations:
\(x=1.12y\)
\(x=1.2y-80\)
Equating both equations, we have an equation with only y's:
\(1.12y=1.2y-80\)
Subtracting 1.2y on each side:
\(1.12y-1.2y=-80\)
Operating:
\(-0.08y=-80\)
Solving:
\(\displaystyle y=\frac{-80}{-0.08}=1,000\)
a)
The cost price of the article was Nu 1,000
b) The selling price of the article will be calculated in both cases:
Original selling price: x=1.12y= 1.12*1000=1,120
The original selling price was Nu 1,120
The second selling price was x+80=1,200
The second selling price was Nu 1,200
What is the slope of a line parallel to the line whose equation is 9x – 3y = -54.Fully reduce your answer.
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The slope of a line parallel to the line whose equation is 9x -3y = -54 has the same slope . To solve for the slope we can find y by using the following formula
\(\begin{gathered} y=mx+b \\ m=slope \\ b=y\text{ intercept} \\ y=mx+b \\ 9x-3y=-54 \\ 9x-9x-3y=-54-9x \\ -3y=-54-9x \\ \frac{-3y}{-3}=\frac{-54}{-3}+\frac{-9x}{-3} \\ y=18+3x \\ \end{gathered}\)The slope of the line parallel to the line = 3
It is well documented that a typical washing machine can last anywhere between 5 to 20 years. Let the life of a washing machine be represented by a lognormal variable, Y = eX where X is normally distributed. In addition, let the mean and standard deviation of the life of a washing machine be 5 and half years and 3 years, respectively. [You may find it useful to reference the z table.]
a. Compute the mean and the standard deviation of X. (Round your intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
b. What proportion of the washing machines will last for more than 11 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
c. What proportion of the washing machines will last for less than 3 years? (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
d. Compute the 70th percentile of the life of the washing machines. (Round your intermediate calculations to at least 4 decimal places and final answer to the nearest whole number.)
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b. We want to find P(Y > 11) = P(e^X > 11) = P(X > ln(11)) = P(Z > (ln(11) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0002, where Z is the standard normal distribution.
c. We want to find P(Y < 3) = P(e^X < 3) = P(X < ln(3)) = P(Z < (ln(3) - ln(5.5) + 0.5 * ln(3/5.5)^2) / 0.7634) ≈ 0.0001, where Z is the standard normal distribution.
d. The 70th percentile corresponds to a z-score of z = invNorm(0.7) ≈ 0.5244. Therefore, we want to find the value of y such that P(Y < y) = P(e^X < y) = 0.7. This implies that ln(y) = ln(5.5) - 0.8329 * 0.7634 + 0.5244 * 0.7634, so y ≈ 7.
mean(X) = ln(5.5) - (1/2) * ln(1 + (3/5.5)^2) ≈ 1.5041 years
std(X) = sqrt(ln(1 + (3/5.5)^2)) ≈ 0.8321 years
b. Let Z be the standard normal variable corresponding to the life of 11 years. Then:
Z = (ln(11) - ln(5.5)) / 0.8321 ≈ 0.9672
Using the z-table, we find that the proportion of the washing machines that will last for more than 11 years is:
P(Z > 0.9672) ≈ 0.1661
c. Let Z be the standard normal variable corresponding to the life of 3 years. Then:
Z = (ln(3) - ln(5.5)) / 0.8321 ≈ -1.4645
Using the z-table, we find that the proportion of the washing machines that will last for less than 3 years is:
P(Z < -1.4645) ≈ 0.0721
d. The 70th percentile of the life of the washing machines corresponds to the standard normal variable Z such that:
P(Z < z) = 0.70
Using the z-table, we find that z ≈ 0.5244. Then:
ln(Y) = mean(X) + z * std(X) ≈ 2.1629
Solving for Y, we get:
Y ≈ e^2.1629 ≈ 8.6913 years
Therefore, the 70th percentile of the life of the washing machines is about 9 years.
Factorize 5xz - 10xy
Answers
Step-by-step explanation:
5xz-10xy5x(z-2y)hope it helps.
stay safe healthy and happy.....The table shows the outcomes and probabilities for a spinner game.
Which statement is true?
A. On average, players lose $0.50 per game.
B. Every player loses $0.50 per game.
C. On average, players lose $2.40 per game.
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Answer: on average, players lose $.50 per game
Step-by-step explanation: i just took the test and got a 100!!!
Answer:
On average, players lose $0.50 per game.
Step-by-step explanation:
Got it right on the test.
a recipe for fruit salad uses 3 times as many apples as oranges. drag apples to represent the number of apples used for every orange used.
please show step by step
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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
If you have 1 apple, you would need 3 oranges.
To find how many oranges you need : multiply the amounts of apples you have by 3.
If your fruit salad uses 4 apples, then you would need 12 oranges .. why?
Because 4 x 3 is 12.
Hope this helps! Please mark brainliest.
can anyone heelp me plzzzzz
Answers
Answer:
It's C
Step-by-step explanation:
because 1.04 is closest to 1
Determine which set of side measurements could be used to form a triangle.
3, 5, 11
4, 18, 23
5, 9, 14
7, 12, 18
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The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18
If the sides of the triangles are a, b and c. There will be three condition
a + b > c
b + c > a
c + a > b
We have to check these condition
Part 1
The sides are 3, 5 and 7
3 + 5 > 11
8 < 11
It does not form a triangle
Part 2
The sides are 4, 18 and 23
4+18 >23
22 < 23
It does not form a triangle
Part 3
The sides are 5, 9 and 14
5+9 > 14
14 = 14
It does not form a triangle
Part 4
The sides are 7, 12 and 18
7+12 > 18
19 > 18
12 + 18 > 7
30 > 7
7+18 > 12
25 > 12
It forms a triangle
Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18
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What is the remainder when the following polynomial division is performed? Place the answer in the proper location of the gird. Do not include parentheses in your answer.
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The remainder of the polynomial division \(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\) is 2y²
How to determine the remainder of the polynomial divisionFrom the question, we have the following parameters that can be used in our computation:
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\)
When the numerator is expanded, we have
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}\)
Split the expanded expression
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}\)
Evaluate
\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}\)
From the above, we have
Quotient = y - 1
Remainder = 2y²
Hence, the remainder of the polynomial division is 2y²
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Is 2 a solution of 3-p=1
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Evaluate 3/2y - 14/3x when y=6 and x=3
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Answer: -47/36
Step-by-step explanation:
3/2y-14/3x
as x=3 and y=6
3/2(6)-14/3(3)
3/12-14/9
1/4-14/9
9-56/36
-47/36
Answer:
- 5
Step-by-step explanation:
\(\frac{3}{2}y-\frac{14}{3}x\)
\(\frac{3}{2}(6)-\frac{14}{3}(3)\)
9 - 14
- 5
For each inequality, determine if each r value make the inequality true or false.Select the correct choice from each row.
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Okay, here we have this:
Considering the provided inequality, we are going to determine the values that make it true and those that make it false, so we obtain the following:
We will first solve for x:
\(\begin{gathered} 5x<2 \\ x<\frac{2}{5} \\ x<0.4 \end{gathered}\)First option X=0: Since 0 is less than 0.4 then the option is true.
Second option X=-1: Since -1 is less than 0.4 then the option is true.
Third option X=1: Since 1 is greater than 0.4, then the option is false.
Fourth option X=100: Since 100 is greater than 0.4, then the option is false.
36 is divisible by which of the following numbers?
Answers
Answer:
divisible by
1
2
3
4
6
9
12
18
36
Step-by-step explanation:
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
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Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
The automobile insurance
company receives 18 calls in 6
hours. How many calls do they
received in 11 hours?
Answers
Answer:
33
Step-by-step explanation:
An easy way to do this is create a proportion.
\(\frac{18}{6} = \frac{x}{11}\)
Keep in mind you could also write this equation as \(\frac{6}{18} = \frac{11}{x}\) as long as you are consistent. The number of calls should be in the same place and the hours should also be in the same place (either the numerator or denominator).
Next, just cross multiply.
6x = (18)(11)
6x = 198
x = 33 calls
Answer:
They would get 33 calls!
Step-by-step explanation:
Hope this helps!
Pls help I give ten points(that as much as I have)
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The answer of the given question based on the factor that represents the yellow shading in the model the correct option is b) 1(2/3).
What is Whole number?A whole number is the positive integer that does not have any fraction or decimal parts. Whole numbers include zero and all positive integers, like 1, 2, 3, 4, 5, 6, and so on.
Whole numbers are used to count objects or to represent quantities that are counted, like number of people in room, number of books on shelf, or number of apples in basket. They are also used in mathematical operations like addition, subtraction, multiplication, and division.
In the model shown in the image, the bold line represents the whole number 1. The yellow shading represents the numerator of the fraction, which is the number of parts that are shaded out of the total number of parts.
From the image, we can see that the shaded area extends beyond the whole number 1 and covers two additional parts out of a total of three parts. Therefore, the shaded area represents a fraction with a numerator of 2 and a denominator of 3.
So the correct option is:
b) 1(2/3)
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11) A rectangular garden has an area of 36.06 sq. ft. If the width is 6 ft, find the length. 12
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Area of garden = 36.06 ft²
Width = 6 ft
Area = l × b
\(36.06 = l \times 6 \\ l = \frac{36.06}{6} \\ l = 6.01\)
- BRAINLIEST answerer
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Nearly 100% of the observed occurrences of a random variable x that is normally distributed will fall within three standard deviations of the mean of the distribution of x. True False
Answers
Answer:
True
Step-by-step explanation:
Three standard deviation from the mean value of distribution of x comprises of 99.7 % of the values of a given set of data.
However, 68% of the data lies with in one standard deviation
while 95% percent of the data lies within two standard deviations
99.7% is approximately 100% of the observed occurrences.
Hence, given statement is true
Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
Answers
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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Hello Please Find The Answer To This Question (easy)
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The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
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P(t)=480,000e−0.024t, where t is the number of years from the present. What does this model predict the population will be in 14 years?
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The model predicts the population to be 671,520 in 14 years
What is an exponential function?An exponential function is a mathematical function of the form \(R^{x}\) where x is a variable and R is a constant.
Exponential functions form exponential curves with decreasing or increasing slope depending on the magnitude of the variable x.
Population, P(t) = 480,000\(e^{-0.024t}\),
when t = 14
substitute t = 14 into the equation,
Population, P(t) = 480, 000\(e^{-0-024 x 14}\) = 480, 000 x 1.399 = 671,520
In conclusion, the Population of the model after 14 years is 671,520
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y=-6x-7 7x+y=-3 substitution
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By substitution; x = 4 and y = -31
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.
y=-6x-7 --- 1
7x+y=-3 --- 2
Substituting y as 6x - 7 in equation 2
7x + (-6x - 7) = -3
7x - 6x - 7 = -3
x - 7 = -3
x = -3 + 7
x = 4
Substitute x as 4 in equation 1
y = -6x - 7
y = -6(4) - 7
y = -24 - 7
y = -31
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Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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When does a negative exponent not move the base to the denominator
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Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
What is the product of -2 1/2 and 3 1/3 ?
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Step-by-step explanation:
Hope this helps you ☺️☺️
2. Which statement correctly describes the
perpendicular bisector construction below?
Answers
The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer
What is perpendicular bisector?The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.
Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.
In the picture, the main line is GH while JK is the line constructed to bisect the main line
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