Using substitution method, the cost of a chicken is $44.56 and the cost of a rabbit is $36.78.
Let's use the substitution method to solve the problem.
Let's assume that the cost of a chicken is "x" dollars and the cost of a rabbit is "y" dollars.
From the first statement, we know that:
5x + 8y = 517 --- equation (1)
And from the second statement, we know that:
8x + 11y = 761 --- equation (2)
Now we can solve for one of the variables in terms of the other from one of the equations, and then substitute that expression into the other equation to solve for the remaining variable.
Solving equation (1) for "y", we get:
y = (517 - 5x) / 8
Now we can substitute this expression for "y" into equation (2), and solve for "x":
8x + 11[(517 - 5x) / 8] = 761
Multiplying both sides by 8 to eliminate the fraction, we get:
64x + 11(517 - 5x) = 6088
Expanding the brackets, we get:
64x + 5687 - 55x = 6088
Combining like terms, we get:
9x = 401
Dividing both sides by 9, we get:
x = 44.56
So the cost of a chicken is $44.56.
Now we can substitute this value for "x" into equation (1) to solve for "y":
5(44.56) + 8y = 517
Simplifying, we get:
222.80 + 8y = 517
Subtracting 222.80 from both sides, we get:
8y = 294.20
Dividing both sides by 8, we get:
y = 36.78
So the cost of a rabbit is $36.78.
Therefore, the cost of a chicken is $44.56 and the cost of a rabbit is $36.78.
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5/6 of what number
= 35
Answer:
42
Step-by-step explanation:
In order to find the answer to this question, I had to multiply 35 times 6/5.
35x6/5=42
You can check to make sure your answer is right by doing: 42x5/6=35.
You just have to multiply the number that we are using by the reciprocal of the fraction.
For instance: 2/3 of what number is 32
32x3/2= 48
48x2/3=32
The requried number is 42, where 5/6 of 42 is 35.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42
Thus, the requried number is 42, where 5/6 of 42 is 35.
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I need help with this study guide so I can use it to study for a test.
1. Colinear points are the ones that are in the same line.
In this example, K is colinear to J and L (referring to line a).
It can be N and M, referring to line c.
2. As the line has the points H and K included, it can be named HK.
3. The intersection of a line and a plane, assuming that the line is not included in the plane, is a point. In this case, the intersection of line c and plane R is point K.
4. A point is coplanar to a plane or another point when it belongs to the plane.
In this case the point M is not coplanar to the plane R (it is outside of the plane).
5. Each face of the prism is a plane and it is can be defined by 3 points. So in this case we have 5 planes (four faces and one base, that is W).
6. We can assign a name for a plane with 3 points that belong to that plane. A possible name is ABC.
7. The intersection of plane W and ADE is the line that goes through the points A and D. We can call this line with the name AD.
8. E, C or D are no colinear to A and B. They do not belong to the line that goes through the points A and B (or the line AB).
9. DF is the sum of DE and EF, so we have:
\(\begin{gathered} \bar{DF}=\bar{DE}+\bar{EF} \\ \bar{DF}=(7x+1)+(4x-3)=42 \\ 11x-2=42 \\ 11x=42+2=44 \\ x=\frac{44}{11}=4 \\ \\ \bar{DE}=7x+1=7\cdot4+1=28+1=29 \end{gathered}\)DE = 29
10. We know that:
\(\begin{gathered} JK+KL=JL \\ (5x-8)+(7x-12)=10x-2 \\ 12x-20=10x-2 \\ 12x-10x=-2+20 \\ 2x=18 \\ x=\frac{18}{2} \\ x=9 \\ \\ KL=7x-12=7\cdot9-12=63-12=51 \end{gathered}\)11. If S is the midpoint of RT, then RS=ST.
We would have:
\(\begin{gathered} RS=ST \\ 5x+17=8x-31 \\ 5x-8x=-31-17 \\ -3x=-48 \\ x=\frac{-48}{-3}=16 \\ \\ ST=8x-31=8(16)-31=128-31=97 \end{gathered}\)12. If y bisects AC, then AB=BC. Then we have:
\(\begin{gathered} AB=BC \\ 4-5x=2x+25 \\ -5x-2x=25-4 \\ -7x=21 \\ x=\frac{21}{-7}=-3 \\ \\ AC=AB+BC \\ AC=(4-5x)+(2x+25)=(4-5\cdot(-3))+(2\cdot(-3)+25) \\ AC=(4+15)+(-6+25)=19+19 \\ AC=38 \end{gathered}\)13. AB is half the value of AC, so we have:
\(\begin{gathered} 2\cdot AB=AC \\ 2(3x+4)=11x-17 \\ 6x+8=11x-17 \\ 6x-11x=-17-8 \\ -5x=-25 \\ x=5 \end{gathered}\)Then, we can calculate CD = AC
\(CD=AC=11x-17=11(5)-17=55-17=38\)We can define DE as DE = CE - CD. We can calculate it as:
\(DE=CE-CD=49-38=11\)DE = 11
The first part of the 630-mile journey was by car at 30 mph. The second part was by bus at 60 mph. If the total time was 14 hours, how many miles was traveled by bus
The total distance traveled by bus is 420 miles.
Let's denote the distance traveled by car as "x" miles.
The time taken for the car journey can be calculated by dividing the distance by the speed:
Time taken by car = x miles / 30 mph = x/30 hours.
The remaining distance, which was traveled by bus, would be the total distance of 630 miles minus the distance traveled by car:
Distance traveled by bus = 630 miles - x miles = (630 - x) miles.
The time taken for the bus journey can be calculated by dividing the distance by the speed:
Time taken by bus = (630 - x) miles / 60 mph = (630 - x)/60 hours.
Given that the total time was 14 hours, we can write the equation:
Time taken by car + Time taken by bus = Total time
x/30 + (630 - x)/60 = 14.
To solve this equation and find the value of x, we can multiply all terms by 60 to eliminate the denominators:
2x + 630 - x = 840,
x + 630 = 840,
x = 840 - 630,
x = 210.
Therefore, the distance traveled by bus is:
Distance traveled by bus = 630 miles - x miles = 630 miles - 210 miles = 420 miles.
So, the total distance traveled by bus is 420 miles.
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report the following sentence He said to me,"He is a nice fellow." i said to him,"You look sad and tired." she said to me ,"You are a clever person."
she said to them ,"You can pass your exams if you work hard."
sabnam said,"I went to the hospital yesterday."
Arbind said,"I lost my keys in the train yesterday.,:
shilpa said,"I was extremely nervous last week."
Husaain said,"We went to bed early last night."
Rahul said ,"I didn't take a taxi home last night."
Answer:
He told me that he was a nice fellow
I told him that he looked sad and tired
She told me that I was a clever person
She told them that they could pass their exams if they worked hard
Sabnam said that she had gone to the hospital the previous day
Shilpa said that she had been extremely nervous the previous week
Husaain said that they had gone to bed early the previous night
Rahul said that he had not taken a taxi home the previous night
Can i get help please??…………
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
Answer:
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
The formula for the volume of a sphere is V = Ar3, where Vis the volume
and ris the radius. Solve the formula for r, and then use it to answer the
question.
The volume of a basketball is about 435 cubic inches.
What is the radius of the basketball, to the nearest tenth of an inch? Use 3.14
for T.
it is 4 . 7 on a pex
I forgor
The radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic 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 formula for the volume of a sphere is V = 4/3πr³,
where V is the volume
and r is the radius.
Let us find the formula for r
3V/ 4π =r³
Take cube root on both sides
∛3V/ 4π = r
Now let us find the radius when the volume of a basketball is about 435 cubic inches.
∛3×435/ 4×3.14 = r
1305/12.56 = r
∛103.9 = r
4.7 = r
5=r
Hence, the radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic inches.
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You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since \(|Z| = 2.52 > 2\), the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
\(|X - \mu = 1.74|, \sigma = 0.69\)
So
\(Z = \frac{1.74}{0.69} = 2.52\)
Since \(|Z| = 2.52 > 2\), the difference is significant.
write the converse, inverse, and contrapositive of the conditional statement. find the truth value of each. if john is on vacation, then he is in london.
Given,
The given conditional statement is :If John is on a vacation, then he is in London.
Converse: If John is in London, then he is on vacation.
Inverse: If John is not on vacation, then he is not in London.
Contrapositive: If John is not in London, he is not on vacation.
From the properties of conditional statement we know that:
if p→q then
Inverse is : ∼p→∼q
Contrapositive: ∼q→∼p
Converse: q→p
Let us elaborate on the above conditions. Let us take two statement p and q such that If p happens then q also happens.
The inverse of a conditional statement is given as "if not p then not q" the converse is given as "if q then p" The contrapositive of the statement states "if not q then not p"The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.To know more about Converse, Inverse and Contrapositive statement refer to:
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A model ship is 24 inches tall and 7.2 inches long. It is modeled after a real ship that is
1200 inches tall and 360 inches long. Determine the scale factor of the model ship to
the real ship.
3 7th grade math questions please answer asap will give brainlist thingy
Answer:
1. Equation: x/-9=-16
solution: x=144
2. Equation:15*x=-75
solution: x=-5
3.Equation:0.75n=36
solution: n=48
Step-by-step explanation:
what is the slope of the line tangent to the graph of y=x2−2x2 1 when x = 1 ?
The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.
1. Take the derivative of the given function: \(y' = 2x - 2\).
2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).
To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).
Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.
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True or
False?
A binary predictor variable is tested for significance using a different test statistic than used for a quantitative predictor variable.
Answer:
it is False
Step-by-step explanation:
state the domain of f(x) = √x
Answer:
The domain is equal to (x)=√x
(x)=x is x>0x>0
I am trying to find the volume of this pyramid! Please help
HELPPPPPP MEEEE PLESDEEEE
Answer:
7, 5, 1, 3
Step-by-step explanation:
Hope this Helps!
Please mark me Brainliest
Find the value of x.
A. 41
B. 74
C. 82
D. 37
Answer:
37⁰
Step-by-step explanation:
180⁰ - 106⁰ =74⁰
74⁰ ÷ 2= 37⁰
made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation
Answer:
Step-by-step explanation:
0.75x+3-10x=21
Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(,) and Yis N(4,²). Given that the sample number of X and Y are n=m=25, and X = 33.8, S=3.9,Y=32.5, S=5.1. Use these observations to give a level a=0.05 test for H₁:μx = μy VS Hoxy. Give the p-value of this test. (10 pts)
To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.
The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.
Using this information, we can calculate the test statistic, which is given by:
t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))
Plugging in the values, we get:
t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))
Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).
Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.
Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
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Question is in the attachment
Answer:
B is the answer in the first quadrant x is positive
19/92 written as a percentage
Answer:
20.65%
Step-by-step explanation:
\( \frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%\)
suppose it is certain that an earthquake will occur someday. what is the probability (to the nearest percent) that it will occur while you are at work? assume you are at work 8 hours per day, 250 days per year.
To the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
The probability that an earthquake will occur while you are at work can be calculated by dividing the number of hours you are at work by the total number of hours in a year.
Step 1: Calculate the total number of hours in a year:
There are 24 hours in a day, so multiplying 24 by 365 (the number of days in a year) gives us 8,760 hours in a year.
Step 2: Calculate the number of hours you are at work in a year:
Since you work 8 hours per day, multiply 8 by 250 (the number of days you work in a year) to get 2,000 hours.
Step 3: Calculate the probability:
Divide the number of hours you are at work (2,000) by the total number of hours in a year (8,760) and multiply by 100 to convert to a percentage.
Probability = (2,000 / 8,760) * 100 = 22.83%
Therefore, to the nearest percent, the probability that an earthquake will occur while you are at work is approximately 23%.
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Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
0 , x<0
f(x) = ((x^2)/4) , 0 <= x <= 2
1 , 2<= x
Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) P(X %u2264 1)
(b) P(0.5 %u2264 X %u2264 1)
(c) P(X > 1.5)
(d) The median checkout duration [solve 0.5 = F(mew)]
(e) Use F'(x) to obtain the density function f(x)
(f) Calculate E(X)
(g) Calculate V(X) and %u03C3x
(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge
E[h(X)].
By using the concept of probability, it can be calculated that
a) P(X \(\leq\) 1) = 0.25
b) P(0.5 \(\leq\) X \(\leq\) 1) = 0.1875
c) P(X > 1.5) = 0.4375
d) Median = 1.414
e) F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2
0, otherwise
f) E(X) = 1.33
g) V(X) = 0.2311, SD(X) = 0.4807
h) E(h(X)) = 2
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
The cdf is
f(x) = \(\left \{ {\frac{x^2}{4}},{ 0 \leq x \leq 2} \atop {1, x=2}} \right.\)
Now,
a) P(X \(\leq\) 1) = \(\frac{1^2}{4} = 0.25\)
b) P(0.5 \(\leq\) X \(\leq\) 1)
= \(\frac{1^2}{4} - \frac{0.5^2}{4}\\\\\frac{3}{16}\\\\0.1875\)
c) P(X > 1.5) = 1 - P(X \(\leq\) 1.5)
\(1 - \frac{1.5^2}{4}\)
0.4375
d) Let \(\mu\) be the median
P(x \(\leq \mu\)) = 0.5
\(\frac{\mu^2}{4} = 0.5\)
\(\mu^2 = 0.5 \times 4 =2\\\mu = \sqrt{2}\\\mu = 1.414\)
e) F'(x) =
\(\frac{2x}{4}, 0 \leq x \leq 2\\0, otherwise\)
F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2
0, otherwise
f) E(x) =
\(\int_0^2 x \times 0.5 xdx\\=0.5 \times \frac{x^3}{3} |_0^2 \\=0.5 \times \frac{2^3}{3}\\=\frac{4}{3}\\=1.33\)
g) V(X) = E(\(X^2\)) -\((E(X))^2\)
E(X^2) =
\(\int_0^2x^2(0.5x)dx \\0.5 \times \frac{x^4}{4}|_0^2\\2\)
\(V(X) = 2 - (1.33)^2\)
V(X) = 0.2311
SD(X) = \(\sqrt{0.2311} = 0.4807\)
h) h(X) = \(X^2\)
E(h(X)) = \(\int_0^2X^2({0.5X)dx\)
= \(0.5 \frac{x^4}{4}|_0^2\)
= \(0.5 \times \frac{2^4}{4}\)
= 2
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Please help! Simplify the following expression by combining like-terms.
Step-by-step explanation:
\( = 4x - 8y + 6 {x}^{2} + 3x - 5y\)
\( = 6 {x}^{2} + (4x + 3x) + ( - 8y - 5y)\)
\( = 6 {x}^{2} + 7x - 13y\)
The answer is B.
Answer:
b.) 6x² + 7x - 13y
Explanation:
Given Expression
= 4x - 8y + 6x² + 3x - 5y
collect like terms
= 6x² + 4x + 3x -8y - 5y
combine similar terms
= 6x² + 7x - 13y
n points are chosen at random on the cicumference of a circle. a convex n-gon (n sided polygon) is drawn by joining these n points. what is the probability that the center of circle lies inside the region of n-gon?
The probability that the center of the circle lies inside the region of n-gon = 1/2
Let the N point be chosen randomly on the circumference of the circle.
Let's take N as a1, a2, a3,…….an.
Now we need to find the probability that how many centers lie inside the region of n-gon. As there will be n- sided polygons can be formed inside the circle by joining all the points.
So here are the Possible Outcome is 2. One center may lie outside the polygon and the other which lie inside the center.
But we want one which lies inside the center. So our Favorable Outcome is 1.
So the Probability = Favorable outcome \ possible outcome
= 1/2
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a.) Use the table below to calculate the average percent change in population in California from 2000-2009.
b.) If California's population in 2009 was 37,000,000 and the population trend were to continue, what would the population be in the year 2015?
The average percentage change in population in California from 2000-2009 is 1.35% and population in 2015 will be 39306963.
What is average?
In mathematics, the average is a value that represents the central or typical value in a set of numbers. There are several types of averages, including the mean, median, and mode.
The mean is the most commonly used type of average, and it is calculated by adding up all the numbers in a set and then dividing the sum by the total number of numbers. For example, the mean of the set {3, 5, 8, 12} can be calculated as:
mean = (3 + 5 + 8 + 12) / 4 = 7
Now,
To calculate average of percentage change from 2000-2009
we have to add percentage change for every year
and that will be = 1.97+1.71+1.65+1.42+1.22+1.02+1.07+1.22+0.93
=12.21%
then average=12.21/9=1.35%
hence,
The average percentage change in population in California from 2000-2009 is 1.35%.
The population in 2015 will be = 37000000 + (1.35)⁶ × 37000000/100
=37000000+2306963.15
=39306963
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The table shows the approximate area in square miles of the largest and smallest states in the United States.
State Area (mi2)
Alaska 873
Rhode Island 392
What is the difference between the areas in square miles?
__ square miles
The difference between the areas in square miles is 481.
Given that Alaska is 873 sq miles in size, while Rhode Island is 392 sq miles in total, to determine what is the difference between the areas in square miles, the following calculation must be performed:
873 - 392 = X 481 = X
Therefore, the difference between the areas in square miles is 481.
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What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.
Answer:
13.125 cubic inches
Step-by-step explanation:
Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches
Find the length of the missing side leave in simplest radical form
Answer:
choice 4) sq rt 69 ft
Step-by-step explanation:
13^2 - 10^2
169-100 = 69
sq rt 69
If the line segment JK is tangent to circle L, find x.
Answer:
1/2×19
by triangle
by radius
38
2×38
How many distinct initial possible pairings are there for a single-elimination ping-pong tour- nament involving n players that result in distinct tournament brackets, for n
The number of distinct initial possible pairings is determined by the formula (n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1, where the number of terms in the product is (n-1)/2.
In a single-elimination ping-pong tournament, each player gets to play against every other player once. It is a type of tournament in which players are eliminated after losing once until there is only one winner.
The total number of games that need to be played in such a tournament is (n-1), since each game eliminates one player from the tournament.
As a result, we know that the number of games played in a single-elimination ping-pong tournament with n players is (n-1).
The possible pairings for the first game in the tournament are n/2, since the first player may be paired with any of the remaining n-1 players, the second player may be paired with any of the remaining n-2 players, and so on.
Then we may have (n-2)/2 possible pairings for the second game, (n-4)/2 possible pairings for the third game, and so on.
In general, we can see that there are (n-2k)/2 possible pairings for the k-th game.
Because a distinct tournament bracket is generated by each of these distinct initial pairings, the number of distinct initial pairings resulting in a distinct tournament bracket is given by:
(n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1,
where the number of terms in the product is (n-1)/2
Since a distinct tournament bracket is generated by each of these distinct initial pairings, this formula calculates the number of distinct initial possible pairings resulting in a distinct tournament bracket.
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