Answer:
Step-by-step explanation:
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
Possible different selection 9366819
What is the difference between the keys on Javanese metallophones and Balinese metallophones?
A. Javanese metallophones have thicker wooden keys than Balinese ones.
B. Balinese metallophones have thicker metal keys than Javanese ones so they produce a brighter sound.
C. Balinese metallophones have thicker wooden keys than Javanese ones.
D. Javanese metallophones have thicker metal keys than Balinese ones so they produce a brighter sound.
Balinese metallophones have thicker metal keys than Javanese ones so they produce a brighter sound. therefore correct answer is B.
A metallophone is any musical instrument in which the sound- producing body is a piece of metal( other than a substance string), conforming of tuned essence bars, tubes, rods, coliseums, or plates. ultimate repeatedly the metal body is struck to produce sound, generally with a mallet, but may likewise be triggered by discordance, keyboard action, or other means.
Metallophones have been used in music in Asia for thousands of spells. There are several different types used in Balinese and Javanese gamelan ensembles, containing the gender, gangsa and saron. These devices have a single row of bars, tuned to the distinctive pelog or slendro scales, or a subset of them.
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Question 5 of 50
If 15% of college students own a television, and 10% of college students own a stereo, and 2% of college students own both a television and a stereo, then the percent of college students that own either a television or stereo is 23%.
True
False
The percentage of students who owns either a television or stereo is given by the set formula P ( A ∪ B ) = 23 %
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
The equation is n(A∪B) = n(A) + n(B) - n(A⋂B)
Given data ,
Percentage of college students who owns a television or stereo be represented as = P ( A ∪ B )
Percentage of college students who owns a television is P ( A ) = 15 %
Percentage of college students who owns a stereo is P ( B ) = 10 %
Let the percentage of college students who owns a television and stereo is P ( A ∩ B ) = 2 %
So , the value of P ( A ∪ B ) is calculated as
P (A∪B) = P ( A ) + P ( B ) - P ( A ⋂ B )
Substituting the values in the equation , we get
P (A∪B) = 15 + 10 - 2
On simplifying the equation , we get
P (A∪B) = 25 - 2
P (A∪B) = 23 %
Therefore , the value of P (A∪B) is 23 %
Hence , the percentage of students is 23 %
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Can someone please solve a, b, c, and d? Thanks.
a) The variables are;
d = the number of hours walking his neighbor's dog.
c = the number of hours washing cars
b) The system of inequalities are;
6c + 7.5d ≥ 75
d + c ≤ 15
c) The two possible combinations are; (5, 10) and (10, 5)
d) Yes it will be sufficient
How to solve a system of equations?We are told that;
Tom is going to walk his neighbors dog for $6 an hour. Thus;
Money from walking neighbor's dog = $6 per hour
Money from car wash = $7.5 per hour
Total Number of hours of work not more than 15 hours
a) Let d represent the number of hours walking his neighbor's dog.
Let c represent the number of hours washing cars
b) Thus, money from walking neighbor's dog = 6c
Money from car wash = 7.5d
Therefore;
Total money saved = 6c + 7.5d
Since total number of hours of work is not more than 15 hours, then we have the inequality;
d + c ≤ 15
Tom needs to make at least $75 to cover prom expenses and so we have the inequality as;
6c + 7.5d ≥ 75
The system of inequalities represents this solution are;
6c + 7.5d ≥ 75
d + c ≤ 15
From the graph, the shaded part in between both lines provides the possible number of hours which we have as possibly; (5, 10) and (10, 5)
If he works 10 hours washing neighbors dogs and 3 hours on the cars, he will earn;
6(3) + 7.5(10) = $84
This is sufficient.
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HELP IM IN K12 THERS MORE OF THESE
Answer: y=6x
Step-by-step explanation: You have to find the relationship between x and y. For this, 1 (x) times 6 = 6 (y). 2 (x) times 6 = 12 (y). This pattern will repeat in this table for eternity, so the relationship is y=6x.
A projectile is fired from ground level with an initial speed of650 m/secand an angle of elevation of 30 degrees. Use that the acceleration due to gravity is9.8 m/sec^2The range of the projectile is meters. The maximum height of the projectile is meters. The speed with which the projectile hits the ground ism/sec
The range of projectile =21556.122 m
The maximum height of the projectile will be = 5280.03 m
The speed at which the projectile hits will be 650 m/s.
Initial speed [tex]v_0=650 \:m/s[/tex]
Angle of elevation [tex]\theta=30^{\circ}[/tex]
Acceleration due to gravity [tex]=9.8 m/s^2[/tex]
i) Range of the Projectile:
[tex]$$\begin{aligned}& R=\frac{v_0^2 \sin (2 \theta)}{g}=\frac{(650)^2 \sin (30)}{9.8} \\& R=21556.122 m\end{aligned}$$[/tex]
ii) Maximum Height of the projectile.
[tex]$$\begin{aligned}& H=\frac{v_0{ }^2 \sin ^2 \theta}{2 g}=\frac{(650)^2 \sin ^2(30)}{2 \times 9.8} \\& H=5389.03 m\end{aligned}$$[/tex]
iii) The speed at which the projectile hits the ground is the same as the initial speed.
i.e. speed [tex]$=650 \mathrm{~m} / \mathrm{s}$[/tex]
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applying the law of cross-cutting relations to the rock pictured above, what is the order (first to last) in which the rock units a-d formed? note that all of the dark-colored rock should be considered part of unit d. group of answer choices a, b, c, d a, c, b, d d, c, b, a d, a, c, b b, c, a, d
unit D must be the youngest rock unit and the order of formation must be A, B, C, D
The Law of Cross Cutting Relations states that any feature (such as a fault or a like) that cuts across a rock unit must be younger than the rock unit.
In the picture, the dark colored rock (unit D) cuts across all of the other rock units (A, B, and C).
Therefore, unit D must be the youngest rock unit and the order of formation must be A, B, C, D.
Therefore, the order of formation is A, B, C, D.
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3x + 2y = 4
-2x + 2y = 24
The answer is (-4,8) I just need someone to solve it please
Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing. How much is the total amount paid for the used car plus expenses?
The total amount paid for the used car plus expenses will be $6,914.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Zaida purchased a used car for $6,500.
State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Now,
Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Hence, The total amount paid for the used car plus expenses is,
⇒ $6500 + 4% of 6500 + $72 + $45 + $37
⇒ $6500 + $260 + $154
⇒ $6,914
Thus, The total amount paid for the used car plus expenses = $6,914
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What is the end behavior for the function 7 - 3x5 - 5x³?
O Up and Up
Down and Down
O Up and Down
O Down and Up
1. if he flips the bottle ten times, how many do you expect to land right side up? justify by either plugging into the formula or using complete calculator notation. round answer to 4 decimal places.
I expect to land right side up using probability is 2.
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.
Probability theory, which is widely employed in disciplines including statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.
I expect to land right side up using probability is 10(0.2)
so that the answer is 2.
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Electric charge produces a vector field called the electric field, which represents the force on a unit positive charge placed at the point. Two positive or two negative charges repel one another, whereas two charges of opposite sign attract one another. The divergence of Ē is proportional to the density of the electric charge (that is, the charge per unit volume), with a positive constant of proportionality The electric held at the point 7 as a result of a point charge at the origin is К? E (7) - 11 71 Calculate div Ë for 7 7. 2 div
As per the constant of proportionality, the electric held at the point 7 as a result of a point charge at the origin is К.
What is meant by constant of proportionality?
In math, constant of proportionality refers the ratio that relates two given values in what is known as a proportional relationship.
Here we have given that electric charge produces a vector field called the electric field, which represents the force on a unit positive charge placed at the point. Two positive or two negative charges repel one another, whereas two charges of opposite sign attract one another. The divergence of Ē is proportional to the density of the electric charge.
Here we need to find the positive constant of proportionality The electric held at the point.
As per the definition of the constant of proportionality, we have identified the following values from the given question,
Here we know that the two positive or two negative charges repel one another, whereas two charges of opposite sign attract one another.
And the divergence of Ē is proportional to the density of the electric charge.
So, based on these details, the point 7 as a result of a point charge at the origin is К.
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*the data set `normtemp` (**usingr**) contains measurements of 130 healthy, randomly selected individuals. the variable `temperature` contains normal body temperature. does the data appear to come from a normal distribution? if so, perform a $t$-test to see if the commonly assumed value of 98.6 degrees fahrenheit is correct. (studies have suggested that 98.2 degrees fahrenheit is more accurate.)*
A 90% confidence interval places the true mean normal body temperature between 98.14269 and 98.35577.
library(UsingR)
attach(normtemp)
print(normtemp)
hist(normtemp$temperature)
shapiro.test(normtemp$temperature)
qqnorm(normtemp$temperature)
qqline(normtemp$temperature)
We can observe that the data follows a normal distribution from the histogram and q plot.
The points in the q plot fall on a straight line and correspond to a normal distribution.
P-value = 0.2332, P>0.05, from the Shapiro test
hence, we fail to reject null htpothesis.
On accepting the null hypothesis we get to know that the data follows normal distribution.
The output for the given code will be ,
data: normtemp$temperature
t = 1527.9, df = 129, p-value < 2.2e-16
alternative hypothesis: true mean ≠0
90 percent confidence interval:
98.14269 98.35577
sample estimates:
mean of x
98.24923
Therefore , we can conclude that ,
The true mean normal body temperature is believed to be between 98.14269 and 98.35577 with a 90% confidence interval.
98.6 is not included in the 90% confidence interval.
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Solve the system of linear equations
The value of x and y for the given linear equations are as follows.
For question8: x=4,y=-1
For question9 :x=-1.2, y=-(111/37)
What is linear equations?An equation in which is the highest power of to the variables 1 is knowns as the linear equation. Mathematically: it is an algebraic equations that can be also written in the form of ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
Question 8
5x+4y=16------- eq1
-2x-4y=-4-------ea 2
5x=16-4y
X=(16-4y)/5
X=4(4-y)/5
Now substitute the value of x in equations 2
-2x-4y=-4
-2(4(4-y)/5)-4y=-4
-2(16-4y)/5-4y=-4
(-32+8y)/5-4y=-4
-32+8y-20y=-20
8y-20y= -20+32
-12y=12
y=-1
Now substitue the value of y in following equation
5x+4y=16
5x+4(-1)=16
5x-4=16
5x=4+16
x=20/5
x=4
Question 9
-5x+y=3-------------eq 1
3x-8y=24-------------eq2
-5x=-3-y
-5x= -(3+y)
x=(3+y)/5
Now substitute the value of x in equation 2
3(3+y)/5-8y=24
(9+3y)/5-8y=24
9+3y-40y=24
3y-40y=120-9
y=-(111/37)
Now substitue the value of y in following equation
-5x+y=3
-5x+(-111/37)=3
-185x-111=111
-185x=222
x= -222/185
x= -1.2
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Suppose replacing and using a gas furnace costs $5, 000 upfront and $100 per
month in gas. An alternative is an electric heat pump, which costs $7,000 up front
and $75 per month in electricity. These equations would be
C= 100t + 5000 and C= 75t + 7000.
What does the point of intersection represent?
a) The point in time where the cheaper option will become the more expensive
option.
Ob) The cost of installing either system.
Oc) The point in time where the rate of change is the same.
d) The time in months where you'd have to make another replacement.
The point of intersection of the equations C = 100t + 5000 and C = 75t + 7000 represents the the point in time where the cost of installing either will be the same.
What is Linear Equations?Linear equations are equations where the right hand side and left hand side involves expressions with one or more variables for which the highest degree of the variable being 1.
We have two linear equations given,
C = 100t + 5000 and C = 75t + 7000.
The point of intersection of these linear equations will be when both the equations are equal.
100t + 5000 = 75t + 7000
100t - 75t = 7000 - 5000
25t = 2000
t = 2000/25
t = 80
This is the point in time where the cost of installing either will be the same, that is after 80 months.
Cost of installing = (100 × 80 ) + 5000 = 13,000
Or = (75 × 80) + 7000 = 13000
Hence the point of intersection of these equations represent the point in time where the cost of installing either will be the same.
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Ryan delivers flowers to two customers. He drives for 12 minutes at an average speed of
40 miles per hour to reach his first customer. He then drives for 15 minutes at an average
speed of 50 miles per hour to reach his second customer. During the 27 minutes of driving
time, how many total miles does Ryan drive?
Answer:20.5 miles
Step-by-step explanation:
the formula for distance, rate (speed), and time is
Distance=rate×time
D=40 (this is the speed he was going for the first customer) × [tex]\frac{12}{60}[/tex] (time)
the time is 12/60 because we the speed was in miles per HOUR and the time was in miles per MINUTE. To convert minutes to hours, we divide by 60.
D=40× [tex]\frac{12}{60}[/tex]
D=48/6
D=8 miles
Second trip:
D= 50×[tex]\frac{15}{60}[/tex]
D=50×[tex]\frac{1}{4}[/tex] (15/60 simplified is 1/4)
D= 12.5 miles
ANSWER: 8 miles + 12.5 miles = 20.5 miles
what is the value of n in the equation 1.5x10^12=(5x10^5)(3x10^n
Answer:
n = 6
Step-by-step explanation:
(5 x [tex]10^{5}[/tex]) ( 3 x [tex]10^{n}[/tex]) = 1.5[tex]10^{12}[/tex]
(5x3) ([tex]10^{5+n}[/tex]) = 1.5 x[tex]10^{12}[/tex]
15 x ([tex]10^{5+n}[/tex]) = 1.5 x [tex]10^{12}[/tex]
1.5 x [tex]10^{1}[/tex] ([tex]10^{5+n}[/tex]) = 1.5 X [tex]10^{12}[/tex]
1.5 X [tex]10^{1}[/tex] X [tex]10^{5+N}[/tex] = 1.5 X [tex]10^{12}[/tex]
1.5 X [tex]10^{1+5+N}[/tex] = 1.5 X [tex]10^{12}[/tex]
1.5 X [tex]10^{6 + 6}[/tex] = 1.5 X [tex]10^{12}[/tex]
1.5 X [tex]10^{12}[/tex] = 1.5 X [tex]10^{12}[/tex]
Write an expression for the sequence of operations described below.
Subtract the quotient of 3 from h
Do not simplify any part of the expression.
Answer:
h - (3/h)
Step-by-step explanation:
The expression for the sequence of operations described is h - (3/h).
To evaluate this expression, we would first need to divide 3 by h to find the quotient, and then subtract that quotient from h. This would give us the final result of the sequence of operations.
For example, if h = 10, we would first divide 3 by 10 to get 0.3. We would then subtract 0.3 from 10 to get 9.7. This would be the final result of the sequence of operations.
In general, the expression h - (3/h) can be used to represent any sequence of operations that involves subtracting the quotient of 3 from h. The value of h can be any number, and the final result of the sequence of operations will depend on the specific value of h that is used.
Select Strong association, Weak association, or Moderate association to correctly classify each correlation coefficient. Correlationcoefficient Strongassociation Weakassociation Moderate association 0.45 0.95 -0.8 0.10
The correlation coefficient is,
0.45 is a moderate association0.95 and -0.8 are both the strong association0.10 is weak associationThis is the interpretation of the correlation coefficient,
A scatter plot's correlation coefficient evaluates the association between two variables.If the correlation coefficient's sign is positive, the two variables tend to increase or decrease in the same direction. If variable X increases, variable Y increases; conversely, if variable X reduces, variable Y increases. If the correlation coefficient's sign is negative, the two variables have an inverse relationship. This curve or line slopes downward. A correlation coefficient of +1 or -1 is a perfect association. The two variables are totally associated.A strong relationship is defined as a correlation coefficient that is less than +1 but more than 0.7. A coefficient between -0.7 and -1 would be the same.A moderate link is indicated by a correlation coefficient of +0.5 or -0.5. There is no correlation when the correlation coefficient is zero. A correlation coefficient of 0 is a null association.A weak relationship is 3;. similar when the correlation coefficient ranges from -3 to 0.To read more about Correlation coefficient
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At Rachel’s 11th birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis.At Rachel’s 11th birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping.
Relaxed time (seconds)
Jumping time (seconds)
26
21
47
40
30
28
22
21
23
25
45
43
37
35
29
32
Step 1: We need to test the given hypothesis.
We can take x1- x2 to represent the difference between the jumping and relaxed times.
[tex]H0: u1 = u2\\H1: u1 \neq u2[/tex]
Step 2: Simplification
We need to find the mean and standard deviation of both samples.
[tex]u1 = 32.375, s1 = 9.620477\\u2 = 30.625, s2 = 8.331309[/tex]
The differences between the jumping and relaxed times are calculated:
[tex]5, 7, 2, 1, -2, 2, 2, -3[/tex]
The number of differences is ∑(8, i-1) = [tex](d_{i} - \alpha ) ^{2}[/tex] = 75.5
Standard deviation differences are:
[tex]\sqrt{\frac{75.5}{7} }[/tex] = 3.284
The standard error is SE = 1.161
Using this, we can find the value of the test statistic t:
[tex]t = \frac{u1 - u2}{SE}[/tex] = 1.507
Using this and the graph, we get that the p value is 0.17554.
Therefore, since p-value is greater than α = 0.05, we cannot reject the hypothesis H0, and we can conclude that it is insufficient evidence to conclude that the average difference is not zero.
Since p-value is greater than α = 0.05, we cannot reject the hypothesis H0, and we can conclude that it is insufficient evidence to conclude that the average difference is not zero.
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translate the sentence into an equation. Three times the sum of a number and 4 is 8 .
Answer: 3(x+y)+4=8
simplified: 3x+3y=4
Step-by-step explanation:
three times x (the first number) & y (the second number) & 4. Which means +4. is 8. which means =8
3(x+y)+4=8
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is perpendicular to the line y=-4 x-3 and passes through the point (10,6).
y = -1/4x + 34/4 is the equation of the line which is perpendicular to the line y = -4x - 3
Given,
The line, y = -4x - 3
Point, (x₁, y₁) = (10, 6)
We have to find the equation of line that is perpendicular to the given line;
Here,
Slope of the line, m = -1/4 (Because the line is perpendicular)
We have to find the equation line by using the formula;
y - y₁ = m(x - x₁)
Here,
y - 6 = -1/4(x - 10)
y - 6 = -1/4x + 10/4
y = -1/4x + 10/4 + 6
y = -1/4x + 34/4
That is,
The equation of the line perpendicular to the given line is y = -1/4x + 34/4
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The one-to-one function is defined below.
Please help with this answer i’m struggling.
Answer:
<=> (8+9y)x=-y+9
<=> 8x+9yx+y=9
<=> y(9x+1)=9-8x
<=> y=(9-8x)/(9x+1)
domain: 9x+1 [tex]\geq[/tex] 0 <=> x [tex]\geq[/tex] -1/9 => R / {-1/9}
range: R/{-8/9} (horizontal asymptot)
In two common species of flowers, A and B, the proportions of flowers that are blue are papa and pbpb , respectively. Suppose that independent random samples of 50 species-A flowers and 100 species-B flowers are selected. Let pˆap^a be the sample proportion of blue species-A flowers and pˆbp^b be the sample proportion of blue species-B flowers. What is the mean of the sampling distribution of pˆa−pˆbp^a−p^b ?
As per the given distribution, the mean of the sampling distribution is Pa - Pb
The term mean in distribution refers adding all numbers in the data set and then dividing by the number of values in the set.
Here we have given that the proportions of flowers that are blue are papa and pbpb , respectively.
And we need to find the mean of the sampling distribution
While we looking into the given question the mean of a sampling distribution is the population mean from which values are sampled.
Here for a population of mean µ, then the mean of the sampling distribution is μx
=> μα = μ
Here from the given parameters, let us consider that then independent random samples of 50 species-a flowers and 100 species-b flowers are selected
Then it can be written as Pa refers sample proportion of blue specie - a and Pb refers sample proportion of blue specie - b
Therefore, the resulting mean is Pa - Pb
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Torah says he made to the development of Judaism.
Jewish Leader Action as Leader Contribution to Judaism
Abraham Start typing here..
Moses
David
Solomon
The development made to the Judaism is mentioned below;
Action as Leader;
Abraham;
Abraham's care for others is one of his leadership strengths. Abraham expressed his sorrow for Sodom and Gomorrah when the Lord informed him that they would be destroyed. He "stick his neck out for his people," as one who cares for others. He pleaded with God on their behalf.
Moses;
Early on, Moses realized he didn't have to handle everything by himself. He eventually succeeded as a leader by using delegation.
David;
As a man of God, David had learned to wait on the Lord, but he also had to learn how to be patient with those around him.
Solomon;
His name in Hebrew means peace and he used his wisdom to bring about peace in the world through deeds rather than conquest.
Contribution to Judaism
Abraham;
Before Abraham, people believed in multiple gods; Abraham was the first to preach that there is only one God. Ironically, Terach, Abraham's father, had made a fortune by selling idols of several deities.
Moses;
The Jews were delivered from slavery in Egypt by Moses, who also guided them to the Holy Land that God had promised.
David;
Many of the Old Testament Psalms are attributed to him; they were probably penned on his renowned lyre, upon which he was reputed to be a master.
Solomon;
As the Israelite monarch who constructed the first Temple in Jerusalem, Solomon is well-known. He was also the second and final king of a united Israel, which was at the height of its power during his rule (after his father, David).
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let z be standard normal random variable. let v be chi-squared random variable with d degrees of freedom. let x and v be independent random variables. show that has student t distribution with $d$ degrees of freedom.
let z be standard normal random variable. let v be chi-squared random variable with d degrees of freedom. let x and v be independent random variables. [tex]$= \frac{1}{\sqrt{2\pi}}\int_{0}^{\in[/tex]
Let [tex]$X$[/tex]and [tex]$V$[/tex] be independent random variables.
[tex]$X \sim N(0,1)$[/tex] , [tex]$V \sim \chi^2(d)$[/tex]
We know that for a standard normal random variable [tex]$X$[/tex] and a [tex]$\chi^2$[/tex] random variable [tex]$V$[/tex] with [tex]$d$[/tex] degrees of freedom, the random variable [tex]$T$[/tex] given by:
[tex]$T = \frac{X}{\sqrt{\frac{V}{d}}}$[/tex]
has a student t-distribution with d degrees of freedom.
This can be seen by the following calculation:
[tex]$f_T(t) = \int_{-\infty}^{\infty} f_X(xt)\frac{1}{\sqrt{2\pi v}}e^{-\frac{v}{2}}\frac{v^{d/2}}{\Gamma(d/2)}\frac{1}{v^{d/2}}e^{-\frac{v}{2d}t^2}dv$[/tex]
[tex]$= \frac{1}{\sqrt{2\pi}}\int_{0}^{\in[/tex]
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Myesha and her children went into a bakery that sells cupcakes for $4.25 each and cookies for $0.75 each. Myesha has $30 to spend and must buy at least 16 cupcakes and cookies altogether. If xx represents the number of cupcakes purchased and yy represents the number of cookies purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of the equation is written as
xx + yy ≥ 16
$4.25xx + $0.75yy ≤ $30
the graph is attached and the solution from the graph is (5.1, 10.9)
How to write the required equationThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
If xx represents the number of cupcakes purchased
yy represents the number of cookies purchased
cupcakes for $4.25 each and cookies for $0.75 each. Myesha has $30
$4.25xx + $0.75yy = $30
buy at least ( ≥ ) 16 cupcakes and cookies altogether
xx + yy ≥ 16
The simultaneous equation
xx + yy ≥ 16
$4.25xx + $0.75yy = $30
One solution from the graph is (5, 11)
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can someone tell me the steps to solving this and tell me what to write my teacher told me “to show work”
Answer:
55 degrees
Step-by-step explanation:
Sum of ALL three angles of a triangle ALWAYS equal 180
rule is 6x+5 will equal the sum of the 2 known angles because of this
6x+5=3x+x+45
6x+5=4x+45
-4x. -4x
2x+5=45
-5. -5
2x=40
/2. /2
x=20
6(20)+5
120+5
125
180-125
55
hopes this helps please mark brainliest
Fred is (x-1)years old now. how old is he if his age in 8 years time will be three times his age 4 years ago
Answer: Fred will be 3(x-5) years old in 8 years, which is 3x-15 years old.
We know that x-1=3x-15, so x=16.
Fred is 16 years old now.
Step-by-step explanation:
Fred's age four years ago was (x - 5), Fred will be (x+7) years old in 8 years. Fred is currently eight years old.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that Fred is (x-1) years old
i) Fred age 4 years ago
Subtract 4 years from the present age
x -1 - 4
x - 5
So, Fred's age 4 years ago is (x - 5)
ii) Add 8 years to the present age
(x-1) + 8
(x+7)
So, Fred's age after 8 years from now is (x+7) years
iii) By the given statement
⇒ (x+7) = 4 [ x - 5 ]
We can then solve for x by expanding the right side of the equation:
⇒ x + 7 = 4x - 20
Then, we can combine like terms to get:
⇒ 4x - x = 20 + 7
⇒ 3x = 27
⇒ x = 9
Fred's present age = (x-1) = 9 - 1 = 8 years
Thus, Fred's current age is 8 years.
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The question seems to be incomplete the correct question would be:
Fred is (x-1) years old now How old: (1) was he 4 years ago. (ii) will he be 8 years from now? (ii) is he now, if his age in 8 years time will be three times his age 4 years ago?
Graph: y ≥ 6
Is (6,2) a solution? yes or no
Is ( -2,5) a solution? yes or no
Answer:
both of them are incorrect so the answer is no
Step-by-step explanation:
If the value of y grater than 6 or equal to 6 it should be 6 or above but in (6,2) the value of y is 2 and x=6 so the value of y is less than 6
and in (-2,5) the value of x is -2 and y=5 , again the value of y is not above 6 so the answer is no for both.
Tell me which equation is false based on the solution set
Answer: -26=2(3p-5) is false
Step-by-step explanation:
The solution is 4
Substitute in 4 in place of the variables to prove whether its false or true
1/4(4)+17=18
18=18 true
5=4(4)-11
5=16-11
5=5 true
-26=2(3(4)-5)
-26=2(7)
-26[tex]\neq[/tex]14
3(4+4)=24
3(8)=24
24=24 true
-26=2(3p-5) is false
Answer:
The third option is false, because when you plug in 4 for p, you get 14, and 14 is not equal to -26.
Hope this helps! :D
Step-by-step explanation: