How many significant figures are there in each of the following? (a) \( 67.2 \pm 0.1 \) (b) \( 4 \times 10^{9} \) (c) \( 2.820 \times 10^{-6} \) (d) \( 0.0090 \)
Answers
The number of significant figures in each value is as follows: (a) 3 significant figures, (b) 1 significant figure, (c) 4 significant figures, and (d) 2 significant figures.
(a) In the value \(\(67.2 \pm 0.1\)\), the uncertainty value of 0.1 does not affect the number of significant figures in 67.2. The original value has three significant figures.
(b) The value \(\(4 \times 10^{9}\)\) is written in scientific notation, where the coefficient (4) represents the significant figures. In this case, there is only one significant figure.
(c) The value \(\(2.820 \times 10^{-6}\)\) is also in scientific notation. The coefficient (2.820) has four significant figures.
(d) The value 0.0090 has two zeros after the decimal point, which are considered significant figures. Therefore, there are two significant figures in this value.
To determine the number of servings of pasta that can be made, we need to consider the quantities of noodles, tomatoes, and garlic. Let's assume that each serving requires 1 cup of noodles, 2 tomatoes, and 1 clove of garlic.
From the given quantities, we have 8 cups of noodles, 24 tomatoes, and 12 cloves of garlic. The limiting factor in this case is the number of tomatoes, as we have fewer tomatoes compared to the other ingredients. Since each serving requires 2 tomatoes, the maximum number of servings we can make is 12 (24 tomatoes ÷ 2 tomatoes per serving). Therefore, we can make 12 servings of pasta.
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Related Questions
Find the length of the given curve: r(t) = (1t,3sint, 3 cost) where -1
Answers
The length of the curve is 2sqrt(10).
The length of the curve given by r(t) = (t, 3sin(t), 3cos(t)) for -1 < t < 1 is given by the formula:
L = ∫_a^b |r'(t)| dt
where r'(t) is the derivative of r(t) with respect to t, and |r'(t)| is the magnitude of the derivative.
We have:
r'(t) = (1, 3cos(t), -3sin(t))
|r'(t)| = sqrt(1^2 + (3cos(t))^2 + (-3sin(t))^2) = sqrt(1 + 9cos^2(t) + 9sin^2(t)) = sqrt(10)
So, the length of the curve is:
L = ∫_{-1}^1 |r'(t)| dt = ∫_{-1}^1 sqrt(10) dt = sqrt(10) * ∫_{-1}^1 dt = 2sqrt(10).
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help meeeeeeeeeeeeeeeeeeee
Answers
Answer:
hm
Step-by-step explanation:
Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1
plssss I need this now
Answers
Answer:
Model: y = 370 * (1.1)^t
Time for 600 cells: after about 5 hours
Step-by-step explanation:
The function that models an exponencial growth is:
y = Po * (1 + r)^t
Where y is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:
y = 370 * 1.1^t
To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:
600 = 370 * 1.1^t
1.1^t = 600/370
1.1^t = 1.6216
log(1.1^t) = log(1.6216)
t * log(1.1) = log(1.6216)
t * 0.0953 = 0.4834
t = 0.4834 / 0.0953 = 5.0724 hours
Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 11 ft high
Answers
When the pile of gravel, in the shape of a cone with equal base diameter and height, reaches a height of 11 feet, the height of the pile is increasing at a rate of 60/121π feet per minute. This rate indicates how fast the height of the pile is increasing at that specific height.
Let the height and radius of the cone be h and r respectively. Then the volume V of the cone is given by; V = 1/3 πr²h. Also given, the coarseness is such that the base diameter and height are always equal. Therefore, r = h/2. Also, given that gravel is being dumped at a rate of 25 ft³/min. The rate of change of volume with respect to time is given by; dV/dt = 25 ft³/min.
We need to find the rate at which the height of the pile is increasing when the height of the pile is 11 feet. Now we will find the relation between V and h;
V = 1/3 πr²hV = 1/3 π(h/2)²hV = 1/12 πh³.
Now differentiate both sides of the equation with respect to time;
dV/dt = d/dt (1/12 πh³)
dV/dt = 1/4 πh² dh/dt
From equation (1); dV/dt = 25 ft³/min
dV/dt = 1/4 πh²
dh/dt25 = 1/4 π(11/2)² dh/dt
dh/dt = 60/121π feet per minute.
Therefore, the height of the pile is increasing at a rate of 60/121π feet per minute when the height of the pile is 11 feet.
The concept used to solve this problem is related rates.
In related rates problems, we are given the rates at which certain variables are changing and we are asked to find the rate at which another variable is changing. To solve such problems, we typically set up an equation that relates the variables and then differentiate both sides of the equation with respect to time.
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The number of Miles a car can be driven is proportional to the number of gallons of gasoline at uses. The car can be driven 14 miles per one and a half gallon of gasoline used. What is the constant of proportionality for the relationship between miles driven and gallons of gasoline?
Answers
Answer:
k = 9.34
Step-by-step explanation:
The number of Miles a car can be driven is proportional to the number of gallons of gasoline it uses.
x ∝ g
x = kg ....(1)
k is constant of proportionality, x is no of miles and g is no of gallons
The car can be driven 14 miles per one and a half gallon of gasoline used.
Here x = 14 and g = \(1\dfrac{1}{2}=\dfrac{3}{2}\)
Put values in equation (1) to find k.
\(k=\dfrac{14}{\dfrac{3}{2}}\\\\x=9.34\)
Hence, the value of constant of proportionality is 9.34.
Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)
Answers
Answer:
Town C.
Step-by-step explanation:
Average change of population with time for town A = \( \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 \)
Average change of population with time for town B = \( \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 \)
Average change of population with time for town C = \( \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 \)
Average change of population with time for town D = \( \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 \)
Town C had the greatest average change in population over time (800/yr).
Answer:
its c
Step-by-step explanation:
Minimize TC=4Q 1
2
+5Q 2
2
−Q 1
Q 2
subject to the constraint that Q 1
+Q 2
≥30 using the Lagrangian method. Solve for the values of Q 1
and Q 2
. Calculate the value of lambda and explain its importance intuitively.
Answers
If the constraint Q1 + Q2 ≥ 30 is relaxed by one unit, the total cost will increase by λ = 4.
The given objective function is TC=4Q1²+5Q2²−Q1Q2, which we need to minimize subject to the constraint Q1+Q2≥30 using the Lagrangian method. Let's begin the Lagrangian method solution as follows;
L(Q1,Q2,λ)= TC + λ(30 - Q1 - Q2)
Where λ is the Lagrange multiplier
1: Calculate the partial derivatives of L with respect to Q1, Q2, and λ and set them equal to zero
∂L/∂Q1 = 8Q1 - Q2 - λ = 0 .......(1)
∂L/∂Q2 = 10Q2 - Q1 - λ = 0 .......(2)
∂L/∂λ = 30 - Q1 - Q2 = 0 .......(3)
2: Solve the above three equations for Q1, Q2, and λ using the elimination method. Eliminate λ by adding equations (1) and (2). Then substitute this λ value in the third equation. Simplify the equation and solve for Q1 and Q2.
Q1 = 6 and Q2 = 24
λ = 4
The optimal values of Q1 and Q2 are 6 and 24 respectively. The value of lambda is 4.
The value of λ represents the marginal cost of relaxing the constraint by one unit. Intuitively, lambda represents the shadow price of the constraint, i.e., the amount by which the objective function value will increase if the constraint is relaxed by one unit.
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In its standardized form, the normal distribution has which of the following properties?
O A. It has a mean of 0 and a standard deviation of 1
O B. It has a mean of 1 and a variance of 0
© C. It cannot be used to approximate discrete probability distributions
O D. It has an area equal to 0 5.
Answers
The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.
The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.
The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.
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A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).
y -(-8) = -6(x - 2)
y -(-8) = -6x + 12
y -(-8) + 8 = -6x + 12 + 8
y = -6x + 20
Explain why the work is not correct.
(it has to be in a sentence or paragraph!)
Answers
Determine the Laplace transforms of: a. f(t)=cos[ϖ(t−t
o
)]u(t−t
o
) F(s)=e
−t
o
s
s
2
+ϖ
2
s
b. f(t)=3δ(t)+3u(t)+sin(5t)u(t) F(s)=3+
s
3
+
s
2
+25
5
2. Calculate f(t) for the function
F(s)=
s(s
2
+4s+5)
(s+1)
.
G(s)=
(s+b)
2
+ω
2
s+c
f(t)=[
5
1
+.632e
−2t
cos(t−108.4]u(t)
g(t)=[e
−bt
cos(ωt)+
ω
c−b
e
−bt
sin(ωt)]u(t)
Answers
a. The Laplace transform of f(t) = cos(ω(t−to))u(t−to) is F(s) = e^(-to*s) * s / (s²+ ω²). b. The Laplace transform of f(t) = 3δ(t) + 3u(t) + sin(5t)u(t) is F(s) = 3 + 3/s + 5/(s²+ 25). c. The inverse Laplace transforms are: For F(s) = s(s²+ 4s + 5)/(s+1), f(t) = t² + 5t + 8δ(t) + 2e^(-t). For G(s) = (s+b)² + ω²/(s+c), g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).
a. Given f(t) = cos(ω(t−to))u(t−to), where u(t) is the unit step function, we can find its Laplace transform F(s) as follows:
F(s) = L{f(t)} = ∫[0,∞] cos(ω(t−to))u(t−to)e^(-st) dt
To evaluate this integral, we split it into two parts based on the unit step function:
F(s) = ∫[0,to] cos(ω(t−to))e^(-st) dt + ∫[to,∞] cos(ω(t−to))e^(-st) dt
The first integral evaluates to zero since cos(ω(t−to)) is zero for t < to.
For the second integral, we substitute u = t−to, which gives us dt = du. Also, we substitute t = u+to:
F(s) = ∫[0,∞] cos(ωu)e^(-s(u+to)) du
F(s) = e^(-sto) ∫[0,∞] cos(ωu)e^(-su) du
Using the definition of the Laplace transform of cosine function, we have:
F(s) = e^(-sto) * s / (s² + ω²)
Therefore, the Laplace transform of f(t) is F(s) = e^(-to*s) * s / (s² + ω²).
b. Given f(t) = 3δ(t) + 3u(t) + sin(5t)u(t), where δ(t) is the Dirac delta function and u(t) is the unit step function, we can find its Laplace transform F(s) as follows:
F(s) = L{f(t)} = 3L{δ(t)} + 3L{u(t)} + L{sin(5t)u(t)}
The Laplace transform of δ(t) is 1, and the Laplace transform of u(t) is 1/s.
Using the Laplace transform of sin(ωt), we have:
F(s) = 3(1) + 3(1/s) + L{sin(5t)} * L{u(t)}
F(s) = 3 + 3/s + (5/(s² + 5²))
Simplifying further:
F(s) = 3 + 3/s + 5/(s² + 25)
Therefore, the Laplace transform of f(t) is F(s) = 3 + 3/s + 5/(s² + 25).
c. Given F(s) = s(s² + 4s + 5)/(s+1) and G(s) = (s+b)² + ω²/(s+c), we want to find the inverse Laplace transforms f(t) and g(t) respectively.
Using partial fraction decomposition, we can write F(s) as:
F(s) = s(s² + 4s + 5)/(s+1) = s² + 4s + 5 + (s² + 4s + 5)/(s+1)
To simplify further, we write (s² + 4s + 5)/(s+1) as s + 3 + 2/(s+1):
F(s) = s² + 4s + 5 + s + 3 + 2/(s+1)
F(s) = s²+ 5s + 8 + 2/(s+1)
The inverse Laplace transform of s^2 + 5s + 8 is the function f(t) that we want to find.
By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:
L^-1{s²} = t²,
L^-1{5s} = 5t,
L^-1{8} = 8δ(t),
L^-1{2/(s+1)} = 2e^(-t).
Combining these terms, we have:
f(t) = t² + 5t + 8δ(t) + 2e^(-t).
For the function G(s), we can write it as:
G(s) = (s+b)² + ω²/(s+c) = (s² + 2bs + b² + ω²)/(s+c)
Using partial fraction decomposition, we can express it as:
G(s) = (s² + 2bs + b² + ω²)/(s+c) = (s² + 2bs + b²)/(s+c) + ω²/(s+c)
The inverse Laplace transform of (s² + 2bs + b²)/(s+c) is the function g(t) that we want to find.
By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:
L^-1{s²} = t²,
L^-1{2bs} = 2bt,
L^-1{b²} = b^2δ(t),
L^-1{ω²/(s+c)} = ω^2e^(-ct).
Combining these terms, we have:
g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).
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A company does research on their product and finds that 3/5 of people who try the product, use it again. If 400 people try the product, how many would we expect to use it again? 120 240 80 30
Answers
Answer:
240
Step-by-step explanation:
maybe
Answer:
240
Step-by-step explanation:
3/5 of the people try it use it again.
so, it you divid you would get 3/2000 which is wrong.
but, if you multiply you would get 240.
3/5 x 400 = 240
What fraction of an hour is 10 minutes?
Give your answer in its simplest form.
Answers
Answer:
1/6
Step-by-step explanation:
Answer: 1/6
Step-by-step explanation: 60 minutes in a hour and one sixth of it is 10 minutes
Solve each problem.It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining. Use the exponential model F = F0ent to determine the annual rate of deforestation in El Salvador.
Answers
Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
Define exponents.A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.
Given,
It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
Let the area present in forest be x,
F₀ = x,
Forest's final area:
F = 53/100 x
F = 0.53x
Time = 20 years
As we know,
Exponential model,
F = F₀ e^rt
0.53 = e^r(20)
Equating en both sides,
en 0.53 = en e ^20r
en 0.53 = 20r
r = en 0.53/20
r = 0.0265
r - 2.65%
Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
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If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?
Answers
Answer:
72.13
Step-by-step explanation:
If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?
If the 1t peron ave 1/4 of total , 2nd peron ave 2/3 of total and the 3rd peron ave 1/10 which fraction i left to pay for the birthday party
Answers
Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?
The fraction left to pay for the birthday party is 17/30.
The calculation is as follows:
1 * 1/4 = 1/4 … (1)
1/4 * 2/3 = 2/12 … (2)
2/12 * 1/10 = 2/120 … (3)
Fraction left to pay:
= 1 - (1/4 + 2/12 + 2/120)
= 1 - (30/120 + 20/120 + 2/120)
= 1 - (52/120)
= 1 - 13/30
= 30/30 - 13/30
= 17/30
Thus, the fraction left to pay for the birthday party is 17/30.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
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consider rolling dice and getting a total of 8 which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when three dice are rolled?
Answers
Rolling a total of 8 when two dice are rolled is more likely than rolling a total of 8 when three dice are rolled.
This is because there are more combinations of two dice that can add up to 8 (four combinations; 1-7, 2-6, 3-5, 4-4) than there are combinations of three dice (three combinations; 1-3-4, 2-2-4, 3-3-2).
Therefore, the probability of rolling a total of 8 with two dice is greater than the probability of rolling a total of 8 with three dice.
Additionally, the odds of rolling a total of 8 with two dice can be calculated using the formula (Number of favourable outcomes/Total number of outcomes) x 100%.
In this case, the formula would be (4/36) x 100%, which equals 11.11%. The odds of rolling a total of 8 with three dice is calculated using the same formula, which would be (3/216) x 100%, which equals 1.39%.
This shows that the odds of rolling a total of 8 with two dice is much greater than the odds of rolling a total of 8 with three dice.
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Fast Pax Annual Salaries (Thousands of Dollars) The report mentioned that the average salary is $39,500. Based on the report about salary, what would you say to someone who wants to work for Fast Pax?.
Answers
Average is the best prediction. For the given case, if someone is wanting to work for Fast Pax, then his salary is most likely to be around $39,500
What is the interpretation of average?Arithmetic mean is the best central measure available for representing the values of a data set. It is also called average of the values of the considered data set.
It serves as one representation of the values of the data set. If for a data set, only its average is given, then we can't say much about the values of the data set, but we can say that the data values are going to be around that average (average is closest number to its data set's values compared to any other number)
It serves as predicted value(in case no other information of the data is available) of that data set.
Average provides ill information in case of skewed data.
Thus, for the given case, as average annual salary for the Fast Pax is $39,800, so we can say that, the salaries of someone who wants to work for Fast Pax would be around $39,800 most probably.
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Answer:
The data is skewed, so the mean is not a good measure of the data.
A median of $20,000 is probably a better indicator of the salary you would earn.
75% of all employees make less than $25,000 annually.
Step-by-step explanation:
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any factor of 6 on the other?
Answers
Answer:
1/3
Step-by-step explanation:
Factors of 6 are 1, 2, 3, 6.
Even numbers are 2, 4, 6
3/6 * 4/6 = 12/36 or 1/3
Consider "Since some shoes are sneakers, some non-sneakers are non-shoes." This inference, drawn by contraposition, is:
A) Valid
B) Not valid
C) Valid by limitation
Answers
The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”
We know that all sneakers are shoes, but all shoes are not sneakers. Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”
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The price of a share of stock for Nike at the beginning of the week was $24.75. Over the next five days, the share of stock gained $2.50 on Monday, lost $3.25 on Tuesday, lost $0.75 on Wednesday, gained $1.25 on Thursday, and gained $4.75 on Friday. What was the price of the share of stock at the end of Friday? A. $37.25 B. $29.25 C. $12.25 D. $22.50 What is the Answer?
Answers
Answer: B. $29.25
Step-by-step explanation:
In integers loss is represented by negative integers whereas profit is represented by positive numbers.Given, Beginning price = $24.75
Over the next 5 days,
On Monday, gain of $2.50 represented by + $2.50.
On Tuesday, loss of $3.25 represented by - $3.25 .
On Wednesday, loss of $0.75 represented by - $0.75.
On Thursday, gain of $1.25 represented by + $1.25.
On Friday, gain of $4.75 represented by + $4.75.
Price of the share of stock at the end of Friday = (Beginning price)+ ( + $2.50 - $3.25- $0.75+ $1.25+ $4.75)
= $( 24.75 + 2.50 -3.25 -0.75 +1.25 +4.75)
= $29.25
Hence, the correct option is B. $29.25.
Cant do this either pls help
Answers
which is the right equation
Answers
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{2}{3}\) x + 1 ← is in slope- intercept form
with slope m = \(\frac{2}{3}\)
Parallel lines have equal slopes , then
the slope of a parallel rail has slope = \(\frac{2}{3}\)
The only equation with this slope is
y = \(\frac{2}{3}\) x + 3 ← could represent the path of the second rail → C
The elevation of a city is positive if the city is above sea level and negative if below sea level. The elevation of New Orleans is -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text. What does an elevation of -0.3 \text{ m}−0.3 mminus, 0, point, 3, start text, space, m, end text represent in this situation? Choose 1 answer: Choose 1 answer: (Choice A) A New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text above sea level. (Choice B) B New Orleans is at sea level. (Choice C) C New Orleans is 0.3 \text{ m}0.3 m0, point, 3, start text, space, m, end text below sea level.
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
the anwser is below sea level
Step-by-step explanation:
Ustal, jaką wartość przyjmuje funkcja y=-2x+3 dla argumentu (-2) oraz dla jakiego argumentu funkcja przyjmuje wartość (-1)
Answers
Answer:
no hablo espanyore lol
Step-by-step explanation:
makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3
- Red paint costs Rs. 800 per 10 litres
- White paint costs Rs. 500 per 10 litres
- Peter sells his pink paint in 10 litre tins for Rs. 800
Answers
The profit he made from each tin he sold is Rs. 180
What is Ratio?Ratio is a comparison of two or more numbers that indicates how many times one number contains another.
How to determine this
Given a large amount of pink paint by mixing red and white paint in ratio 2 : 3
i.e Red paint to White pant = 2 : 3
= 2 + 3 = 5
To find the amount red paint = 2/5 * 10
= 20/5
= 4 liters
Amount of white paint = 3/5 * 10
= 30/5
= 6 liters
To find the cost per liter of red paint = Rs. 800 per 10 liters
= 800/10 = Rs. 80
So, the cost of red paint = Rs. 80 * 4 = Rs. 320
The cost per liter of white paint = Rs. 500 per 10 liters
= 500/10 = Rs. 50
So, the cost of white paint = Rs. 50 * 6 = Rs. 300
The total cost of Red paint and White paint = Rs. 320 + Rs. 300
= Rs. 620
To find the profit he made
= Rs. 800 - Rs. 620
= Rs. 180
Read more about Ratio
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the length of a rectangle is 5 times the width. if the perimeter is to be greater than 120 meters. what are the possible values for the width? (use w as the width)
Answers
The possible value for the width is 10.
What is the length of a rectangle?
Since its sides are coupled, it essentially only has two distinct dimensions. The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.
Here, we have
The length of a rectangle is 5 times the width
L = 5w
120 < Perimeter = 2L + 2w
= 2(5w) + 2w
= 10w+2w = 12w
10 > w
w < 10
Hence, the possible value for the width is 10.
To learn more about the length of a rectangle from the given link
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x² + 6x +8=0
In factoring algorithm
Answers
Answer:
(x+2)(x+4)
Step-by-step explanation:
Answer:
( x + 2 ) ( x + 4 )
Step-by-step explanation:
Please please please please please please please please help with my daily thing
Answers
Answer:
A
Step-by-step explanation:
2. If you can bake 15 cookies in 5 minutes, then how many cookies can you
bake in 32 minutes?
Answers
same and bethan share £54 into the ratio 5:4 how much does each person get
Answers
Bethan will get £24
Answer:
Sam gets £30 and Bethan gets £24
Step-by-step explanation:
5:4
5+4=9
£54/9= £6
£6 x 5= £30
£6 x 4 = £24
Therefore, Sam gets £30 and Bethan gets £24