Answer:
.75 is your answer
Step-by-step explanation:
One store has 3 Managers and 12 Salespeople.Another store has 4 Managaers and 15 salespeople. Do both stores have equivalent ratios of managers to salespeople explain.
Answer:
The ratio of mangers to sales people of the stores are not equivalent as the ratios in their simplest form are not equal.
Step-by-step explanation:
Given:
One store has:
3 Managers and 12 sales persons
Another store has:
4 Managers and 15 sales persons.
To find if the ratio of mangers to sales people are equivalent.
Solution:
Store A:
Managers = 3
Sales people = 12
Ratio of mangers to sales people for store A = [tex]\frac{3}{12}[/tex] =[tex]\frac{3\div3}{12\div 3}=\frac{1}{4}[/tex] (Simplest ratio)
Store B:
Managers = 4
Sales people = 15
Ratio of mangers to sales people for store B = [tex]\frac{4}{15}[/tex]
The ratio is in the simplest form and cannot be reduced further.
We can see that : [tex]\frac{1}{4}\neq \frac{4}{15}[/tex]
Hence, the ratio of mangers to sales people of the stores are not equivalent.
find the distance between (-6,6)(-5,-7)
WILL GIVE BRAINLIEST NEED HELP ASAP THANK YOU <3
Answer:
False
Step-by-step explanation: Are you asking whether or not its false? If so then yes f(x) is not a function because the x's on the left side repeat. Example the six points to two different numbers on the right side. I hope i helped!
Answer:
your answer is correct
Step-by-step explanation:
When a relation has an input that maps to more than one output, it is not a function. Both 6 and 12 map to two different outputs, so the relation is not a function. Your answer choice is correct.
Aparty rental company has chairs and tables for rent. The total cost to rent 5 chairs and 6 tables is $65. The total cost to
rent 3 chairs and 2 tables is $25. What is the cost to rent each chair and each table?
Answer:the cost of renting each chair is $2.5
the cost of renting each table is $8.75
Step-by-step explanation:
Let x represent the cost of renting each chair.
Let y represent the cost of renting each table.
The total cost to rent 5 chairs and 6 tables is $65. This means that
5x + 6y = 65 - - -- - - - - - - -1
The total cost to rent 3 chairs and 2 tables is $25. This means that
3x + 2y = 25 - - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 5, it becomes
15x + 18y = 195
15x + 10y = 125
Subtracting, it becomes
8y = 70
y = 70/8 = 8.75
Substituting y = 8.75 into equation 1, it becomes
5x + 6 × 8.75 = 65
5x + 52.5 = 65
5x = 65 - 52.5 = 12.5
x = 12.5/5 = 2.5
Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). What is this set?
Answer: The required equation for points P is [tex]4x+2y=17.[/tex]
Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).
To find the equation for points P such that the distance of P from both A and B are equal.
We know that the distance between two points R(a, b, c) and S(d, e, f) is given by
[tex]RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.[/tex]
Let the point P be represented by (x, y, z).
According to the given information, we have
[tex]PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.[/tex]
Thus, the required equation for points P is [tex]4x+2y=17.[/tex]
The inverse of x y is:
xy
xy
yx
xy
yx
To answer this question, first, we need to understand the concept of an inverse operation, especially in the context of binary operations. A binary operation is a calculation that combines two elements to produce another element. Common binary operations are addition, subtraction, multiplication, and division in mathematics.
The inverse of a binary operation, denoted here as x y, is an operation, which when performed after the initial operation, returns the original value. This means, if we take x and y to produce z through the operation x y (denoted as x y -> z), the inverse operation will bring us back to the original x or y value. In mathematical terms, if we perform z (inverse) x operation, it should give us y, and z (inverse) y should return x.
From the given options, we can clearly observe that only one option obeys the rules of the inverse operation, that is 'yx' (option 3). Because only 'yx' will satisfy, z(inverse) x = y and z (inverse) y = x.
So, option 3, 'yx' is the inverse operation of x y in the sense of the inverse element.
Answer:yx
You have $50,000 to invest, and two funds that you'd like to invest in. The You-Risk-It Fund (Fund Y) yields 14% interest. The Extra-Dull Fund (Fund X) yields 6% interest. Because of college financial-aid implications, you don't think you can afford to earn more than $4,500 in interest income this year. How much should you put in each fund?
Answer:
Principal Fund Y = $18,750
Principal Fund X = $31,250
Step-by-step explanation:
Given;
Total amount to invest = $50,000
Maximum amount of interest =$4,500
For fund Y;
Let y represent the amount invested(principal) in fund Y
Interest = 14% = 0.14
Time = 1 year
Interest = principal × rate × time
Interest on fund y = y × 0.14 × 1= 0.14y
For fund X;
The amount invested in fund X can be given as
x =50,000-y
Rate = 6% = 0.06
Time = 1 year
Interest on fund X = x × 0.06 ×1 = 0.06x = 0.06(50,000-y)
Total interest = interest on fund Y + fund X
$4,500 = 0.14y + 0.06(50,000 - y)
4500 = 0.14y - 0.06y + 3000
0.8y = 4500-3000
0.8y = 1500
y = 1500/0.08
y = $18,750
x = $50,000 - $18,750
x = $31,250
In 2006 the population of the country was 30.3 million. This represented an increase in population of 4.7% since 2001 . What was the population of the country in 2001
Answer:
The population in 2001 was = 23.95 millions
Step-by-step explanation:
Given
Population in 2006 = 30.3 million
Rate of growth since 2001 = 4.7%
To find the population in 2001.
Solution:
The population growth formula is give as:
[tex]P=P_0\times e^{rt}[/tex]
[tex]P\rightarrow[/tex] New population
[tex]P_o\rightarrow[/tex] Initial population
[tex]r\rightarrow[/tex] rate of growth
[tex]t\rightarrow[/tex] time
Data given to us:
New population [tex]P[/tex] (2006) = 30.3 million
Rate = 4.7% = 0.047
Time = [tex]2006-2001[/tex]= 5 years
Plugging in the data in the formula.
[tex]30.3=P_0\times e^{0.047\times 5}[/tex]
[tex]30.3=P_0\times e^{0.235}[/tex]
[tex]30.3=P_0\times 1.265[/tex]
Dividing both sides by 1.265
[tex]\frac{30.3}{1.265}=\frac{P_0\times 1.265}{1.265}[/tex]
[tex]23.95=P_o[/tex]
∴ [tex]P_o=23.95[/tex]
Thus, population in 2001 was = 23.95 millions
The phenomenon that involves the misperception of the length of two identical lines, one with arrows pointing outward and one with arrows pointing inward is called the:
Müller-Lyer illusion. (T/F)
Answer:
True
Step-by-step explanation:
Müller-Lyer illusion - In this illusion two-line having the same length appear to be different from one another.
the line showing in the file attached, the line with arrow moving outward appears to have large length and line having the arrow pointing inward appear to have a short length. But given lines are equal in length, it is just an illusion that might force to believed you that one is shorter or larger than others.
Write an equation for a function with the given characteristics. A cosine curve with a period of pi, and amplitude of 1, a left phase shift of pi, and vertical transiation up 5/2 of a unit.
The equation for the function with the given characteristics is:
f(x) = (1 * cos((x - pi)/pi)) + (5/2)
We have,
The equation for the function with the given characteristics can be written as follows:
f(x) = (1 * cos((x - pi)/pi)) + (5/2)
Amplitude: The amplitude of the cosine curve is 1, so we multiply the cosine function by 1.
Period: The period of the cosine curve is pi, which means it completes one full cycle over the interval [0, pi]. The period of the cosine function is determined by the argument inside the cosine function, (x - pi)/pi. This shifts the period to start at pi and end at 2pi.
Left phase shift: The left phase shift of pi is achieved by subtracting pi from x inside the argument of the cosine function. This shifts the curve to the left by pi units.
Vertical translation: The vertical translation up 5/2 units is achieved by adding 5/2 to the entire function.
Therefore,
The equation for the function with the given characteristics is:
f(x) = (1 * cos((x - pi)/pi)) + (5/2)
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The equation for the function is y(t) = cos(2t + pi) + 5/2.
Explanation:To write an equation for the given characteristics, we can start with the general equation for a cosine curve: y(t) = A cos(wt + p).
Given that the period is pi, we know that the angular frequency w is equal to 2pi divided by the period, so w = 2pi/pi = 2. The amplitude is 1, so A = 1.
The left phase shift is pi, so p = pi. Finally, there is a vertical translation up 5/2 units, so we add 5/2 to the equation.
Putting all these values into the equation, we get: y(t) = cos(2t + pi) + 5/2.
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The lines below are perpendicular. If
the slope of the solid line is , what
is the slope of the dashed line?
Answer:
Correct answer: s₁ = - 2
Step-by-step explanation:
The relationship between the slope of two lines that are perpendicular is:
s₁ = - 1/s = - 1/(1/2) = - 2
God is with you!!!
A particle that moves along a straight line has velocity v(t) = t 2 e −t meters per second after t seconds. How far will it travel during the first t seconds?
The distance traveled by the particle is determined as [tex]\int\limits^0_t {v(t)} \, dt=-e^{-t}t^{2}+2(-e^{-t}t-e^{-t})+2[/tex].
Given data:
To determine the distance traveled by the particle during the first t seconds, integrate the velocity function with respect to time over the interval [0, t].
Given the velocity function:
[tex]v(t) = t^2 * e^{(-t)}[/tex]
To find the distance traveled, integrate the absolute value of the velocity function over the interval [0, t]:
[tex]\text{distance} = \int\limits^0_t {v(t)} \, dt[/tex]
Since the velocity can be negative (indicating a change in direction), taking the absolute value ensures that we consider the magnitude of the velocity.
Now, calculate the integral:
[tex]D = \int\limits^0_t {t^2 * e^{(-t)}} \, dt[/tex]
To simplify this integral, split it into two parts, considering the cases when the velocity is positive and negative:
[tex]D=[-e^{-t}t^2-\int\limits^0_t {-2e^{-t}} \, dt]_0^t[/tex]
The first integral represents the distance traveled when the velocity is positive, and the second integral represents the distance traveled when the velocity is negative.
Integrating each term separately:
[tex]\int\limits^0_t {v(t)} \, dt=-e^{-t}t^{2}+2(-e^{-t}t-e^{-t})+2[/tex]
Hence, the distance is [tex]D=-e^{-t}t^{2}+2(-e^{-t}t-e^{-t})+2[/tex].
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The complete question is attached below:
A particle that moves along a straight line has velocity [tex]v(t) = t^2e^{-t}[/tex] meters per second after t seconds. How far will it travel during the first t seconds?
The function v(t) = t2 e−t defines the velocity of a particle. The displacement or distance covered by the particle in the first t seconds is given by the integral from 0 to t of the velocity function.
Explanation:
The given velocity function for the particle is v(t) = t2 e−t. The distance (or displacement) traveled by an object is the integral of the velocity over a given interval. So, to find the distance covered by the particle in the first t seconds, you would set up the following integral:
∫0t t2 e−t dt
We won't compute this integral here, as it requires knowledge of methods beyond basic calculus, specifically the use of integration by parts and possibly a tabular method for successive integrations by parts. However, this setup gives you the right starting point to find the distance covered in the first t seconds.
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Allyson and Adrian have decided to connect their ankles with a bungie cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec north and Adrian moves 8 ft/sec west. There is a building with the nearest corner 30 ft north and 20 ft west of the girls' starting point. When will the bungie cord first touch the corner of the building?
Answer: 5.5 seconds
Step-by-step explanation:
30=5/4 ×(-20) + 10t
30 =-25 +10t
10t=55
t=5.5seconds
The cord will first touch the corner of the building after 5.5secs
calculate the current in a circuit with resistance (r) of 30 and electromotive force (e) of 120vac
Answer:
E=I(R+r)
R+r=30
I=E/(R+r)
I=120/30
I=4A
Step-by-step explanation:
Final answer:
Using Ohm's Law (I = E/R), the current in a circuit with a resistance of 30 ohms and electromotive force of 120 VAC is calculated as 4 amperes.
Explanation:
To calculate the current (I) in a circuit when given the resistance (R) and electromotive force (E), we can use Ohm's Law, which states that current is equal to voltage divided by resistance (I = E/R). Using the values from the question, the resistance is 30 ohms and the electromotive force is 120 VAC. Therefore, the current in the circuit can be calculated as follows:
I = E/R = 120 V / 30 Ω = 4 A
So, the current in the circuit is 4 amperes.
Write an expression for the sequence of operations.
Subtract 4 from x, double, and add 8.
The expression for the given sequence of operations is 2(x-4)+8.
The given statement is "subtract 4 from x, double, and add 8".
We need to write an expression for the sequence of operations.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, subtract 4 from x=x-4
Double the difference that is 2(x-4)
Add 8=2(x-4)+8
Therefore, the expression for the given sequence of operations is 2(x-4)+8.
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220-450÷3 to the 2nd power=
Answer:
70
Step-by-step explanation:
220-150=70
A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Calculate the chi-square test statistic x2 to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender. Minutes spent online per day Gender 0-30 30-60 60-90 90+Male 75 45 25 35 Female 30 45 45 15 A) 19.874 B) 18.146 C) 20.912 D) 21.231
Answer:
There is enough evidence to conclude that the number of minutes spent online per day is related to gender
Step-by-step explanation:
Given that a researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below.
Gender 0-30 30-60 60-90 90+ total
Males 75 45 25 35 180
Females 30 45 45 15 135
H0: there is no association between gender and spending time online
Ha: There is association
(Two tailed test)
Expected for each cell is calculated as row total*grand total/column total
<30 30-60 60-90 >90 Row Totals
Males 75 (60.00) [3.75] 45 (51.43) [0.80] 25 (40.00) [5.62] 35 (28.57) [1.45] 180
Females 30 (45.00) [5.00] 45 (38.57) [1.07] 45 (30.00) [7.50] 15 (21.43) [1.93] 135
chi square -= 27.125
p value <0.0001
Since p is less than 1% (significance level) we reject the null hypothesis
There is enough evidence to conclude that the number of minutes spent online per day is related to gender
Answer:
The answer would be 18.146
Step-by-step explanation:
Given that a researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below.Gender 0-30 30-60 60-90 90+ totalMales 75 45 25 35 180Females 30 45 45 15 135H0: there is no association between gender and spending time onlineHa: There is association(Two tailed test)Expected for each cell is calculated as row total*grand total/column total<30 30-60 60-90 >90 Row TotalsMales 75 (60.00) [3.75] 45 (51.43) [0.80] 25 (40.00) [5.62] 35 (28.57) [1.45] 180Females 30 (45.00) [5.00] 45 (38.57) [1.07] 45 (30.00) [7.50] 15 (21.43) [1.93] 135chi square -= 27.125p value <0.0001Since p is less than 1% (significance level) we reject the null hypothesisThere is enough evidence to conclude that the number of minutes spent online per day is related to gender
An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is the probability that each of the balls will be (a) of the same color?
Answer:
As a fraction, the answer is exactly 86/969
In decimal form, the answer is approximately 0.08875
=====================================================
Work Shown:
The assumption is that no replacements are made for each selection.
5 red, 6 blue, 8 green
5+6+8 = 19 total
A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969
B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969
C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969
D = P(3 all same color)
D = A+B+C
D = 10/969 + 20/969 + 56/969
D = (10+20+56)/969
D = 86/969
D = 0.08875
It cost $525 for 7adult tickets and 12 youth tickets to the hockey game. If the difference in price between adult ticket Nd youth ticket is $18, find the cost of a youth ticket
Final answer:
To find the cost of a youth ticket, you can set up a system of equations using the given information. Solve the system of equations to find the cost of a youth ticket.
Explanation:
To find the cost of a youth ticket, we can set up a system of equations using the given information. Let x be the cost of an adult ticket and y be the cost of a youth ticket. From the problem, we know that 7x + 12y = 525 and x - y = 18. We can solve this system of equations using substitution or elimination.
First, let's solve for x in terms of y using the second equation. Adding y to both sides gives x = y + 18.
Next, substitute this expression for x in the first equation: 7(y + 18) + 12y = 525. Simplifying this equation gives 7y + 126 + 12y = 525. Combining like terms, we get 19y + 126 = 525. Subtract 126 from both sides: 19y = 399. Finally, divide both sides by 19 to solve for y: y = 21.
Therefore, the cost of a youth ticket is $21.
Find the midpoint of (0,4) and (-4,-12)
Which statement is the correct interpretation of the confidence interval in this illustration? The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%. We are 95% confident that the true mean is between 76.08 and 83.92.
Answer:
We are 95% confident that the true mean lies between 76.08 and 83.92.
Step-by-step explanation:
The confidence interval approach is used to calculate an interval in which the true population mean exists. The confidence level 1-α associated with confidence interval depicts that how confident we are that the population mean lies in the estimated interval. In the problem that confidence level is 95%, so we are 95% confident that the true mean lies between 76.08 and 83.92.
What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction? y = –2 y = –1 y = 0 y = 1
Answer:
y = -2
Step-by-step explanation:
Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).
[tex]f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}[/tex]
The horizontal asymptote is ...
y = -2
Answer:
y = –2Step-by-step explanation:
The given function is
[tex]f(x)=\frac{-2x}{x+1}[/tex]
An asymptote refers to a restriction in the domain or range set of the function. This happens to rational functions, because there's a scenario where the function is undetermined: when its denominator is zero.
So, in this case, the value that makes the denominator zero is
[tex]x+1=0\\x=-1[/tex]
That means, we need to restrict the domain for [tex]x=-1[/tex]. But this is a vertical asymptote.
To find horizontal asymptotes, we need to find the restrictions for the range of the function, we do that isolating [tex]y[/tex].
[tex]y=\frac{-2x}{x+1}\\yx+y=-2x\\yx+2x=-y\\x(y+2)=-y\\x=-\frac{y}{y+2}[/tex]
So, if we analyse the denominator
[tex]y+2=0\\y=-2[/tex]
Therefore, the restriction is [tex]y=-2[/tex]. In other words, the vertical asymptote is the first choice.
In horse racing, a trifecta is a bet that the first three finishers in a race are selected, and they are selected in the correct order. Does a trifecta involve combinations orpermutations? Explain.Choose the correct answer below.A. Because the order of the first three finishers does not make a difference, the trifecta involves permutations.B. Because the order of the first three finishers does make adifference, the trifecta involves permutations.C. Because the order of the first three finishers does not make a difference, the trifecta involves combinations.D. Because the order of the first three finishers does make adifference, the trifecta involves combinations.
Answer:
its a combination
Step-by-step explanation:
because three horses is a combination of horses
Help plz, Worth 30 pts, Will give branliest!
A.11
Step-by-step explanation:
Here apply the interpolation formula to find the value of y
From the table, you can interpolate the value of y where x is 92 by using the points (91,10) and (98,15)
The formula to apply is;
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} *(x-x_1)[/tex]
where
(x₁,y₁)=(91,10)
(x₂,y₂)=(98,15)
(x,y)=(92,?)
Substitute values in the equation;
[tex]y-10=\frac{15-10}{98-91} *(92-91)\\\\y-10=\frac{5}{7} *(1)\\\\7(y-10)=5\\7y-70=5\\7y=5+70\\\\7y=75\\\\y=75/7=10.71\\\\y=11[/tex]
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Please help asap i really need this. Brainliest. Using Square Roots to Solve Equations.
Answer:
The answer to your question is below
Step-by-step explanation:
a) x² = 196
x = ±√196
x = ± 14 or x = -14 and x = 14
b) 9x² = 49
x² = 49/ 9
x = √(49/9)
x = ±7/3
x = ± 2.3 or x = 2.3 and x = -2.3
c) 4x² - 8 = 56
4x² = 56 + 8
4x² = 64
x² = 64/4
x² = 16
x = ±√16
x = ±4 or x = 4 and x = -4
d) x² = 160
x = ± √160
Find the prime factors of 160
160 2
80 2
40 2
20 2
10 2
5 5
1 160 = 2⁵5
x = √2⁴10
x = ±4√10
e) x² = 72
Find the prime factor of 72
72 = 2²3²6
x = √2²3²6
x = ±6√6 or
x = ±8.5
Which choice correctly expresses the solution set in the inequality in words?
Answer:
The answer to your question is letter A.
Step-by-step explanation:
Inequality x + 2 ≥ 5
Solve the inequality, remember that inequalities and equations are solved in similar ways.
- Subtract 2 in both sides
x +2 - 2 ≥ 5 - 2
- Simplify
x ≥ 3
- Remember that this sign "≥" means that x is greater or equal to a number, and this sign "≤" means that x is lower or equal to a number.
The option that satisfies our inequality is the first option.
Adnan made "x" calculators this week, but Maya made twice as many calculators. Write an algebraic expression for the number of calculators that Maya made this week. A) 2x B) x + 2 C) x 2 D) x − 2
Answer:
A) [tex]2x[/tex]
Step-by-step explanation:
Given:
Number of calculator made by Adnan in this week = [tex]'x'[/tex]
We need to write an algebraic expression for the number of calculators that Maya made this week.
Solution:
Now given:
Maya made twice as many calculators.
So we can say that;
Number of calculators made by Maya this week is equal to 2 times Number of calculator made by Adnan this week.
framing in equation form we get;
Number of calculators made by Maya this week = [tex]2\times x = 2x[/tex]
Hence an algebraic expression for the number of calculators that Maya made this week is [tex]2x[/tex].
Name at least 2 major similarities between the sheep and human brains that you did not name in your hypothesis, but that you observed or learned about during the dissection.
Answer:
Step-by-step explanation: The brains are very similar insofar that they function in almost the same way when it comes to controlling physical aspects of our existence. Our brains regulate our organs and our body parts just like a sheep's brain.
The concession stand at football games sells pizza and drinks. You buy 4 drink and 6 slices of pizza for $6.70. Your friend buys 3 drinks and 4 slices of pizza for $4.65. How much is each drink and slice of pizza?
Answer:
drinks: $0.55pizza slices: $0.75Step-by-step explanation:
Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...
4d +6p = 6.703d +4p = 4.65To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.
-2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)
-8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses
d = 0.55 . . . . . . . . . collect terms
Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...
4(0.55) +6p = 6.70
6p = 4.50 . . . . . . . . . subtract 2.20
p = 0.75 . . . . . . . . . . divide by 6
The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.
Answer:each drink costs $0.55
Each slice of pizza costs $0.75
Step-by-step explanation:
Let x represent the cost of each drink.
Let y represent the cost of each slice of pizza.
You buy 4 drink and 6 slices of pizza for $6.70. This means that
4x + 6y = 6.70 - - - - - - - - - - - - 1
Your friend buys 3 drinks and 4 slices of pizza for $4.65. This means that
3x + 4y = 4.65 - - - - - - -- - - 2
Multiplying equation 1 by 3 and equation 2 by 4, it becomes
12x + 18y = 20.1
12x + 16y = 18.6
Subtracting, it becomes
2y = 1.5
y = 1.5/2 = 0.75
Substituting y = 0.75 into equation 1, it becomes
4x + 6 × 0.75 = 6.70
4x + 4.5 = 6.70
4x = 6.7 - 4.5 = 2.2
x = 2.2/4 = 0.55
PLEASE HELP!!!! (100 PTS)
Answer:
(x) free throw = 8
(y) 2-point = 6
(z) 3-point = 2
x+(y*2)+(z*3)
8+(6*2)+(2*3)
8+12+6
=26