Answer:
Step-by-step explanation:
v + 7/8 = 2/8
v = -5/8
Question 1 of 25
You can access your funds easier if your account has________ liquidity.
A. less
B. more
Answer: if your account has more liquidity
Answer:
О B. more
Step-by-step explanation:
You can access your funds easier if ypur account has more liquidity.
...
The diameter of a cone's circular base measures 10 inches, and the slant height of the cone is 8 inches.
What is the approximate surface area of the cone?
Responses
The approximate surface area of a cone is 204 inches².
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The surface area of a cone is πr (r + √(h² + r²) )
Now,
Diameter = 10 inches
Radius = 5 inches
Slant height = 8 inches
Now,
The surface area of a cone is πr (r + √(h² + r²) )
Slant height = √(h² + r²) = 8 inches
So,
= πr (r + √(h² + r²) )
= π x 5 (5 + 8)
= 3.14 x 5 x 13
= 204 inches²
Thus,
The surface area of a cone is 204 inches².
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ1
The approximate surface area of the cone is 227 square inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The diameter of a cone's circular base measures 10 inches
Radius of cone is 5 inches.
Slant height = 8 inches
A=πr(r+√h²+r²)
A=3.14×5(5+√64+25)
A=3.14×5(5+√89)
A=3.14×5(5+9.43)
A=3.14×5(14.43)
A=226.61
Hence, the approximate surface area of the cone is 227 square inches.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
suppose , the number of cases of a disease, is reduced by 7% per year. for each of the following, give an exact expression for your answer. do not include commas in your answers. if there are initially 10,000 cases, express as a function of , the number of years elapsed. how many cases will there be 4 years from now? cases. how long does it take to reduce the number of cases to 1000?
If number of cases of a disease is reduced by 7% every year and there are initially 10000 cases, then "y" as a function of "t" is expressed as y=10000×(1 - 0.07[tex])^{t}[/tex] .
the number of cases of a disease is reduced = 7% per year,
so , the rate of change can be expressed as a negative 7%.
The function "y" ,which represents number of cases of disease after "t" years, can be expressed as:
⇒ y = 10000×(1 - 0.07[tex])^{t}[/tex] ;
where ; t = number of years elapsed and
⇒ (1 - 0.07) represents the factor by which number of cases decreases each year.
This equation gives the number of cases of the disease after "t" years, assuming that the 7% reduction rate remains constant over time.
The given question is incomplete , the complete question is
Suppose , the number of cases of a disease, is reduced by 7% per year , if there are initially 10,000 cases, express "y" as a function of "t" , the number of years elapsed ?
Learn more about Function here
https://brainly.com/question/29068983
#SPJ4
south carolina makes license plates with the configuration digit, letter, digit, letter, digit, digit. how many different license plates can south carolina produce?
South Carolina can produce 26x26x10x10x10 = 676,000 different license plates with the configuration digit, letter, digit, letter, digit, digit.
Permutations are arrangements of objects in a specific order. For example, if you have the letters A, B, and C, the possible permutations are ABC, ACB, BAC, BCA, CAB, and CBA. Permutations are often used to calculate the total number of possible combinations for a given set of objects, as each permutation is a unique combination. For example, if you have three letters and three digits, the total number of permutations is 26x10x10x26x26x10 = 17576000.
Learn more about permutations:
https://brainly.com/question/1216161
#SPJ4
A weather balloon is spotted from two angles of elevation, 57° and 83°, from
tracking stations A and B in the diagram below. The tracking stations are 15 km
apart. Determine the distance from tracking station A to the balloon, rounded to
the nearest kilometre.
The average of these two values is the final answer:
d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.
How to solve the problem?To determine the distance from station A to the balloon, you can use the tangent function. The formula is: d = h / tan(angle of elevation), where d is the distance, h is the height of the balloon, and angle of elevation is the angle between the line of sight from the observer to the balloon and the horizontal.
Using the first angle of elevation (57°), we can calculate the distance as:
d = h / tan(57°) = h / 1.998 = 15 / 1.998 = 7.5 km
Using the second angle of elevation (83°), we can calculate the distance as:
d = h / tan(83°) = h / 4.398 = 15 / 4.398 = 3.38 km
The average of these two values is the final answer:
d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.
Learn more about angle of elevation in brainly.com/question/21137209
#SPJ1
please help me,
will give 50 points
The equivalent value of sin{D} is -
sin{D} = √13/10.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a right angled triangle.
In the given right angle triangle, we can use the Pythagoras theorem as -
{FD}² = {√13}² + {√87}²
{FD}² = 13 + 87
{FD}² = 100
FD = 10
So, we can write that -
sin{D} = √13/10
Therefore, the equivalent value of sin{D} is -
sin{D} = √13/10.
To solve more questions on Trigonometric equations, visit the link below-
brainly.com/question/1041084
#SPJ1
helppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
5
Step-by-step explanation:
Hope it helps! =D
Leila works in retail and is paid $290.00 per week, plus 3% on all sales over $500.00.
During one week, her total sales were $960.00. Find her gross earnings. (4 points)
The number of hours worked multiplied by the hourly wage of an employee is how gross wages for hourly workers are determined is 318.8
What is meant by gross earnings?Employees' gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made. Net pay, often known as take-home pay, is the amount that is left over once all withholdings have been taken into account.
Here,
Given :
=> 290
=> interest = 3% of 500
=> 960 * 3/100 = 28.8
=> 28.8 + 290 = 318.8
The total amount of money a person makes each year, whether they work or invest, is their gross income. In the case of a self-employed person, earned income is restricted to salaries, commissions, bonuses, and business income after deducting expenses.
The total of your earnings at a certain employment before deductions is your gross salary. Before any deductions from your pay are made, this is often listed at the top of your pay slip.
To learn more about gross earnings refer to:
brainly.com/question/13793671
#SPJ1
In circle O, AC and BD are diameters.
Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x.
What is mArc A B?
72°
108°
120°
144°
Answer: the measure of arc A B is 180°.
Step-by-step explanation:
mArc A B = mArc B O + mArc O A Because line segments B D and A C are diameters, they are also chords of the circle and therefore bisect each other. This means that angle A O C and angle B O C both measure x.
A radius drawn to cut angle C O C into 2 equal angle measures of x, it means that angle C O C measure 2x. So, arcs A O and B O are also equal.
Since angle A O C and angle B O C both measure x, and arcs A O and B O are equal, it means that mArc A B = mArc B O + mArc O A = x + x = 2x
As angle C O C measure 2x, and x angle measures are equal to each other. It means that x = (2x)/2 = x = angle C O C/2 = (180°)/2 = 90°
So, mArc A B = 2x = 2(90°) = 180°
Therefore, the measure of arc A B is 180°.
Write a system of equations that has no solution.
Answer:
A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. A system of linear equations that has no solution is called an inconsistent pair of linear equations.
A 4.5 kg block of ice with a temperature of -10∘C is placed on a large stone slab with a temperature of +10∘C. The stone slab is so large that its temperature does not change. The ice and the slab are isolated from the rest of the universe. Part A What is ΔSice as the system comes to equilibrium? Express your answer with the appropriate units. ΔSice = ? Part B What is ΔSstone as the system comes to equilibrium? Express your answer with the appropriate units. ΔSstone = ? Part C What is ΔStot as the system comes to equilibrium? Express your answer with the appropriate units.
A) The change in entropy of the ice is 0.346 kJ/K.
B) The change in entropy of the stone slab is -1.257 kJ/K.
C) The total change in entropy of the system is -0.911 kJ/K.
Part A:
The change in entropy of the ice can be calculated using the formula:
ΔS_ice = Q_ice / T
where Q_ice is the heat transferred to the ice and T is the temperature at which the heat transfer occurs.
In this case, the ice is absorbing heat from the stone slab until it reaches thermal equilibrium.
The amount of heat transferred can be calculated using the formula:
Q_ice = m_ice c_ice ΔT
where, m_ice is the mass of the ice, c_ice is the specific heat of ice, and ΔT is the change in temperature of the ice.
Since the ice is initially at -10∘C and the final temperature is 0∘C (the melting point of ice), ΔT is 10∘C.
Substituting these values into the equations, we get:
Q_ice = (4.5 kg) (2100 J/kg⋅K) (10 K)
= 94.5 kJ
ΔS_ice = Q_ice / T = (94.5 kJ) / (273 K)
= 0.346 kJ/K
Therefore, the change in entropy of the ice is 0.346 kJ/K.
Part B:
The change in entropy of the stone slab can be calculated using the same formula as before:
ΔS_stone = Q_stone / T
where, Q_stone is the heat transferred to the stone and T is the temperature at which the heat transfer occurs.
In this case, the stone is losing heat to the ice until both reach thermal equilibrium.
The amount of heat transferred can be calculated using the same formula as before:
Q_stone = m_stone c_stone ΔT
where m_stone is the mass of the stone slab, c_stone is the specific heat of the stone, and ΔT is the change in temperature of the stone.
Since the stone slab is initially at +10∘C and the final temperature is 0∘C, ΔT is 10∘C.
Substituting these values into the equations, we get:
Q_stone = -(4.5 kg) (790 J/kg⋅K) (10 K) = -355.5 kJ
ΔS_stone = Q_stone / T = (-355.5 kJ) / (283 K) = -1.257 kJ/K
Therefore, the change in entropy of the stone slab is -1.257 kJ/K.
Part C:
The total change in entropy of the system can be calculated by adding the changes in entropy of the ice and the stone slab:
ΔS_tot = ΔS_ice + ΔS_stone
Substituting the values we calculated earlier, we get:
ΔS_tot = 0.346 kJ/K + (-1.257 kJ/K) = -0.911 kJ/K
Therefore, the total change in entropy of the system is -0.911 kJ/K.
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ12
List any four keywords that are used in Qbasic
copy the probloem mark the givens in the diagram and write a statement reason proof if SA ∥ NE , SE ∥ NA , prove SA ≅ NE . WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.
The percentage of 7th graders students that spend less than an hour a day on social media is 51.8%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
7th graders:
Number of students that spend less than an hour = 29
Number of students = 56
The percentage of students that spend less than an hour.
= 29/56 x 100
= 51.785
= 51.8 %
Thus,
The percentage of students that spend less than an hour is 51.8%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ1
David watched 1 2 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 1 3 of the movie left to watch. How much of the movie did David watch at night?
Answer:
1/6
Step-by-step explanation:
1-1/2 = 1/2
night = x
1/2 - x = 1/3
3/6 - x = 2/6
so x = 1/6
find the general solution of the given differential equation. x dy dx (4x 1)y = e−4x
The general solution of the given differential equation is y = sin x + c. cos x
What is Equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
cos (x) dy/dx +sin (x) y =1
now, divide with cos x on both the sides
cos(x)/cos x dy/dx + sinx.y/cos x = 1/cos x
dy /dx + sinx/cosx .y = 1/cos x
= dy/dx +tanxy =secx
the above equation is linear differentiation equation in y
so, now integrating factor
IF= secx
now the solution is
y secx = (secx .secxdx+c)
y secx = (sec[tex]x^{2}[/tex]dx+c)
= y* secx = tanx+c
y = 1/secx(tanx+c)
y = cos x (tanx+c)
we know that, tanx = sinx/cosx
y = cosx(sinx/cosx +c)
y = cos x .sinx/cosx +cosx (c)
Solution of the given differential equation y = sin x + c. cos x
To learn more about Equations visit:
brainly.com/question/649785
#SPJ4
The angle bisectors of are , , and . They meet at a single point .
(In other words, is the incenter of .)
Suppose TV=22, CV=27, TCU=52, SAV=46 and .
Find the following measures.
Note that the figure is not drawn to scale.
The measure of∠SAU = 92°,
SV = 22, ∠SBV = 18°.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is that the sum of its internal angles to 180 degrees. This quality is referred to as the angle sum property of triangles.
Given a triangle ABC
and AV, BV, and CV are angle bisectors,
TV = 22 and CV = 27
∠TCU = 52°, ∠SAV = 46°
A: to find ∠SAU,
as we know angle bisector divides an angle into two equal parts,
so ∠SAV = ∠VAU = 46°
∠SAU = ∠SAV + ∠VAU
∠SAU = 46 + 46 = 92°
B: to find ∠SBV,
we have ∠SAU = 92° and ∠TCU = 52°
from angle sum property,
∠SAU + ∠TCU + ∠SBT = 180°
∠SBT + 92 + 52 = 180
∠SBT = 180 - 92 - 52
∠SBT = 36°
so ∠SBV = ∠BVT = ∠SBT/2 (due to angle bisector)
∠SBV = ∠BVT = 36/2
∠SBV = ∠BVT = 18°
C: to find SV,
since V is the incenter, Due to the junction point of the central axis being the center of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.
so TV = UV = SV = 22
Hence ∠SAU = 92°,
SV = 22,
∠SBV = 18°
Learn more about triangles;
brainly.com/question/2773823
#SPJ1
The length of the side of a triangle are the ratio 2:5:8. The perimeter of the triangle is 60 cm. Find the length of each side of the triangle.
Answer:
The first side = 2x = 2(4) = 8 cm
The second side = 5x = 5(4) = 20 cm
The third side = 8x = 8(4) = 32 cm
Step-by-step explanation:
We can use the fact that the ratio of the sides of the triangle is 2:5:8 and the perimeter of the triangle is 60 cm to find the length of each side of the triangle.
First, we can use the ratio to find the ratio of the perimeter to the sides of the triangle: 2:5:8. Since the perimeter is 60 cm, we can set up the following equation:
2x + 5x + 8x = 60
where x represents the length of one side of the triangle in cm.
We can then simplify the equation:
15x = 60
To find the value of x, we can divide both sides of the equation by 15:
x = 4
So each side of the triangle is 4 cm long.
Therefore,
The first side = 2x = 2(4) = 8 cm
The second side = 5x = 5(4) = 20 cm
The third side = 8x = 8(4) = 32 cm
find the product and list the unit of 8hx$9/h
The product is equivalent to $72 and its unit is $
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The rate,
8hx$9/h
In simple words,
$9 per hour for 8 hours.
Now, for 1 hour, the cost is $9.
Therefore, for 8 hours,
It can be written as -
x = 9 x 8
x = $72
Hence, the product is equivalent to $72.
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
Marco is 450 m due east of the centre of the park: His friend Ray ` is 450 m due south of the centre of the park; Which is the correct expression for the exact distance between the two boys? 2254/2 m 450N2 m 450 1 What is the exact value for tan (2409)2 -N3
The exact value for the tangent of 240° is -0.422618261740699. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.
Learn more about ratio here
https://brainly.com/question/29467965
#SPJ4
a sample of customers is taken and their mean grocery receipt is calculated. it is determined that there is a 97% chance that the mean of their receipts is less than $38. determine the sample size that was taken.
This cannot be determined with the information given. To calculate the sample size, we would need to know the population means, the population standard deviation, and the confidence interval.
The confidence interval is 97%, which is the likelihood that the mean of the receipts is less than $38. We can use this information to calculate the margin of error and then use this to calculate the sample size. The margin of error is calculated by taking the critical value (in this case, 1.96) and multiplying it by the standard deviation of the population. We then divide this by the square root of the sample size to get the margin of error.
Once we have the margin of error, we can then calculate the sample size by taking the population means minus the margin of error and dividing this by the desired confidence interval. In this case, the desired confidence interval is 97%. Therefore, without the population means, standard deviation, and confidence interval, it is impossible to calculate the sample size.
To know more about confidence intervals refer to the link brainly.com/question/24131141
#SPJ4
a particular city is serviced by three airlines for its passenger traffic. airline a carries 50% of the passengers, airline b 30%, and airline c the remaining 20%. each of the airlines is responsible for handling its security. the probabilities that a passenger carrying some type of weapon will be detected by airlines a, b, and c are 0.9, 0.5, and 0.4, respectively. if a weapon was detected on a passenger, what is the probability that airline b detected it?
The probability that airline b detected it will be 0.22.
The probability that airline B detected the weapon can be calculated using Bayes' Theorem, which states that:
P(airline B detected the weapon | weapon detected) = P(weapon detected | airline B detected the weapon) * P(airline B) / P(weapon detected)
where P(airline B) is the prior probability that a passenger was serviced by airline B (30%) and P(weapon detected) is the total probability that a weapon was detected (sum of the probabilities that a weapon was detected by each airline).
The numerator can be calculated as P(weapon detected | airline B detected the weapon) * P(airline B) = 0.5 * 0.3 = 0.15.
The denominator can be calculated as the sum of the probabilities that a weapon was detected by each airline, weighted by their respective prior probabilities:
P(weapon detected) = P(weapon detected | airline A detected the weapon) * P(airline A) + P(weapon detected | airline B detected the weapon) * P(airline B) + P(weapon detected | airline C detected the weapon) * P(airline C)
= 0.9 * 0.5 + 0.5 * 0.3 + 0.4 * 0.2
= 0.45 + 0.15 + 0.08
= 0.68
Finally, the answer is P(airline B detected the weapon | weapon detected) = 0.15 / 0.68 = 0.22.
For more questions on Bayes' Theorem
https://brainly.com/question/29546122
#SPJ4
a tank contains 20 kg of salt dissolved in 5000 liters of water. brine that contains 0.03 kg of salt per liter of water enters the tank at a rate of 25 l/min. the solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt remains in the tank after 30 minutes?
After 30 minutes, the amount of salt remaining in the tank is 18.75 kg. This is because the brine entering the tank contains 0.03 kg of salt per liter of water, and 25 liters of brine are entering the tank every minute.
Thus, in 30 minutes, 750 liters of brine will have entered the tank, bringing with it 22.5 kg of salt. Since the tank initially contained 20 kg of salt, the amount of salt remaining after 30 minutes is 18.75 kg.
The theory behind the amount of salt remaining in the tank after a given amount of time is based on the idea that the amount of salt entering the tank is equal to the amount of salt leaving the tank. The amount of salt entering the tank is determined by the concentration of salt in the brine solution and the rate at which the brine enters the tank. The amount of salt leaving the tank is determined by the same rate at which the brine enters the tank.
Learn more about the tank :
https://brainly.com/question/13691899
#SPJ4
HELP ASAP PLS WILL GIVE BRAINLIEST
Answer:
SAS because you have two congruent sides surrounding one congruent angle
Solve for y.
45-45-90
Please helpl
Answer:
y = 12
Step-by-step explanation:
I believe that you can use the geometric mean theorem to solve for y
y is the geometric mean of the segments of the hypotenuse, so
24/y = y/6
simplify using means and extremes property: y^2 = 144
simplify: y=12
The side of a cube measures 2x+1 units long. Express the volume of the cube as a polynomial.
The volume of the cube as a polynomial is 8x³ + 12x² + 6x + 1.
What is the volume of the cube as a polynomial?The volume of a cube is expressed as;
V = a³
Where a is the side of the cube.
Given that;
Side of the cube a = 2x + 1Volume V = ?Plug the given value into the above equation and simplify.
V = a³
V = ( 2x + 1 )³
Expand using FOIL method
V = ( 2x + 1 )( 2x + 1 )( 2x + 1 )
V = ( 2x( 2x + 1 ) + 1( 2x + 1 ) )( 2x + 1 )
V = (4x² + 4x + 1 )( 2x + 1 )
V = 2x(4x² + 4x + 1 ) + 1(4x² + 4x + 1 )
V = 8x³ + 8x² + 2x + 4x² + 4x + 1
Collect and add like terms
V = 8x³ + 12x² + 2x + 4x + 1
V = 8x³ + 12x² + 6x + 1
Therefore, the volume is 8x³ + 12x² + 6x + 1.
Learn more about polynomials here: https://brainly.com/question/20121808
#SPJ1
evaluate the difference quotient for the given function. simplify your answer. f(x) = −x3, f(a h) − f(a) h
The difference quotient is equal to -3a2h, which simplifies to -3a2 divided by h. This is the slope of the line tangent to the graph of f(x) = -x3 at the point (a, -a3).
The difference quotient is a way to approximate the slope of the line tangent to the graph of a given function. To calculate the difference quotient for f(x) = -x3, we can use the formula f(a h) − f(a) h. Plugging in values for f(a) and f(a h), we get -a3 - (-(a+h)3) / h. We can simplify this expression by multiplying out the parentheses: -a3 + (a3 + 3a2h + 3ah2 + h3) / h. We can then combine like terms and cancel out the h's to get -3a2h / h, which simplifies to -3a2 / h. This is the difference quotient for f(x) = -x3 at the point (a, -a3).
Learn more about quotient here
https://brainly.com/question/16134410
#SPJ4
don’t understand this.
Answer:
see explanation
Step-by-step explanation:
3
(f + g)(x)
= f(x) + g(x)
= 2x² - 4x - 5 + 3x - 13 ← collect like terms
= 2x² - x - 18
4
(f - g)(x)
= f(x) - g(x)
= 2x² - 4x - 5 - (3x - 13) ← distribute parenthesis by - 1
= 2x² - 4x - 5 - 3x + 13 ← collect like terms
= 2x² - 7x + 8
consider the initial value problem find the value of the constant and the exponent so that is the solution of this initial value problem. help (formulas) determine the largest interval of the form on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. help (inequalities) what is the actual interval of existence for the solution (from part a)? help (inequalities)
To find the value of the constant and the exponent so that is the solution of this initial value problem, you need to solve the differential equation, which can be written in the form y' + p(x)y = q(x).
To determine the largest interval of the form on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution, you need to ensure that the coefficients p(x) and q(x) are continuous on the interval and that p(x) does not change sign on the interval. The actual interval of existence for the solution is from the lower bound of the given interval to either the upper bound of the given interval or the point where p(x) changes sign.
Learn more about inequalities:
https://brainly.com/question/25944814
#SPJ4
Which rate is the best deal on a box of cereal? Hint: Think about which deal is the cheapest. Answers include (A.$3.20 for 20 ounces B.$4.50 for 25 ounces C.$5 for 40 ounces) (no need to help anymore)
Answer: C; $5 for 40 ounces
Step-by-step explanation: To find the lowest cereal amounts, we need to find the unit price. To find the unit price, you ALWAYS divide the price by the amount. In this case, we need to divide the money by the ounces. So, the prices for each (in cents) are:
[tex]\frac{3.20}{20} = 0.16[/tex]
[tex]\frac{4.50}{25} = 0.18[/tex]
[tex]\frac{5}{40}[/tex] ≈ 0.13 (0.125)
So, the decimals are the prices (in cents) and the last one was 0.125, but we need to round up to the nearest cent. This would be $0.13. This makes the 40 ounces of cereal for $5 the cheapest of the 3 deals. I hope this helped!