Answers
Answers:
10. b. \(\displaystyle 13\)
9. b. \(\displaystyle 20\)
8. a. \(\displaystyle 33\)
7. a. \(\displaystyle 25°\)
Step-by-step explanations:
10. Both segments are considered congruent, so turn both expressions into an equation:
\(\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x\)
Plug this back into the equation to get \(\displaystyle 13\)on both sides.
9. All edges in a square obtain congruent right angles and edges, so set \(\displaystyle 45\)equivalent to the given expression:
\(\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}\)
8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:
\(\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}\)
7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:
\(\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}\)
I am joyous to assist you at any time.
Related Questions
If you want to leave an 18% tip for a waiter on a $54.35 meal, what would the total bill be?
$64.13
$9.78
$44.57
$8.15
Answers
Answer:
$64.13
Step-by-step explanation:
the tip would be added to the meal cost
Answer:
54.35+$9.78=64.13
Step-by-step explanation:
54.35*.18=9.78
Hope this helps :)
find the general solution of the given higher-order differential equation. d 4y dx4 − 2 d 2y dx2 − 8y = 0
Answers
he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
where \(c_1,c_2,c_3\) and \(c_4\) are constants.
Let’s assume the general solution of the given differential equation is,
y=e^{mx}
By taking the derivative of this equation, we get
\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)
Now substitute these values in the given differential equation.
\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)
Therefore, \(m^4-2m^2-8=0\)
\((m^2-4)(m^2+2)=0\)
Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)
By applying the formula for the general solution of a differential equation, we get
General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
where \(c_1,c_2,c_3\) and \(c_4\) are constants.
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13.
Approximate the value of the expression shown. Explain your answer.
−16
Answers
The value that results when a number is multiplied by itself is known as the square root. So, to find the square root of 16, we need to find a number that, when multiplied by itself, equals 16. The value of the expression is 4.
One way to do this is to try different numbers and see if their square equals 16. For example, we can start with 1 and see if 1 times 1 equals 16. Clearly, 1 times 1 is 1, so we know that the square root of 16 is not 1.
Next, we can try 2. 2 times 2 is 4, which is less than 16, so we know that the square root of 16 must be greater than 2.
We can then try 3. 3 times 3 is 9, which is still less than 16, so the square root of 16 must be between 3 and 4.
Finally, we can try 4. 4 times 4 is 16, which means that the square root of 16 is indeed 4.
Therefore, the value of the given expression square root 16 is 4.
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Choose the function that is a "parent function".
f() = x + 3
f(x) = (x - 3)2
f(x)= v
f(x) = \x-31
Answers
1. Which set of numbers has the largest variance?
a. 7, 8, 9, 10
b. 1, 3, 4, 7
c. 4, ?2, ?1, 0
d. 1, 0, 2, 4
2. What is the population variance of the following set of numbers: 3, 5, 8, 9, 10?
a. 29
b. 6.8
c. 7
d. 8.5
Answers
1) 1,3,4,7 dataset has the highest variance.
1. How to find the largest variance of given set of numbers?Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
to find the variance,
first step is to calculate the mean Next, take each data point and square the difference after subtracting the mean. All values' squared differences are added. Next, divide the total by the number of data points. this is the process to get the variance.
a) now given that a. 7, 8, 9, 10
\(mean = \frac{sum \: of \: al l\:data \: points \: }{ total \: number \: of \: data\: points \: } \)
\(mean = \frac{(7 +8 + 9 + 10) }{4} \)
mean = 8.5
now, take each data point and square the difference after subtracting the mean.
\((7 - 8.5) {}^{2} = 2.25 \\ (8 - 8.5) {}^{2} = 0.25 \\ (9 - 8.5) {}^{2} = 0.25 \\ (10 - 8.5) {}^{2} = 2.25\)
All values' squared differences are added.
2.25+0.25+0.25+2.25=5
Next, divide the total by the number of data points.
5/4 = 1.25
Hence the variance of 7,8,9,10 is 1.25
b) given that 1,3,4,7
mean = 3.75
variance = 18.75/4 = 4.68.
Hence the variance of 1,3,4,7 is 4.68
c) given that 4,2,1,0
mean= 1.75
variance= 2.1875
Hence the variance of 4,2,1,0 is 2.1875
D) given that 1,0,2,4
mean= 1.75
variance= 2.1875
Hence the variance of 1,0,2,4 is 2.1875
Therefore 1,3,4,7 dataset has the highest variance.
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5.6.AP-1
Solve the inequality.
3 + 4x> 27
Answers
Answer:
The answer is X>6
if you click the image it will show the steps to solving the inequality. hope this helps.
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?
WILL GIVE BRAINLIEST
Answers
Answer:
under
Step-by-step explanation:
change the underminator, we have
7×(x-2)-4×(3x+5)=-3×7×4
7x-14-12x-20=-84
-5x=-50
x=10
Verify that (AB)^T = B^TA^T. A = 1 −2 2 1 0 1 and B = 2 −1 4 3 1 0 STEP 1: Find (AB)T. (AB)T = STEP 2: Find BTAT. BTAT = STEP 3: Are the results from Step 1 and Step 2 equivalent? Yes No
Answers
Without the dimensions of matrices A and B, it is not possible to verify the equation (AB) = BTAT.
To verify that (AB) = BTAT, we need the product AB by multiplying the matrices A and B.
Here the steps to verify the equation (AB) = BTAT:
To Find (AB) multiply matrix A and matrix B. The result is denoted as (AB) = x.
Now we transpose matrix B, transpose matrix A, and then multiply them. The result is denoted as BTAT = 6.
We compare the results, which are x and 6, respectively. If x = 6, then the equation (AB) = BTAT is verified.
we have no information about the matrices A and B, such as their dimensions or values. so it is not possible to compute the actual values of (AB) and BTAT or determine their equivalence.
In summary, without the specific values or dimensions of matrices A and B, it is not possible to verify the equation (AB) = BTAT.
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Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter
![AcellusIf P = (3,2), find the imageof P under the following rotation.90 counterclockwise about the origin([?],](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/v0lqhdFGp39NOL6dh7524GuD5YVgLpIh.png)
Answers
Answer:
(-2, 3)
Step-by-step explanation:
Think of this in the future:
Counter-clockwise rotations:
90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)
270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)
Clockwise rotations:
90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)
270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)
Solve the equation using the Quadratic Formula. x^{2}-11x-5=0
Answers
Solution of the equation x² -11x -5 =0 using quadratic formula is equal to x = (11 ±√141)/ 2 .
As given in the question,
Given equation is equal to
x² -11x -5 =0
Solving the given equation using quadratic formula we get,
Standard quadratic equation is
ax² + bx + c =0
D = √b² -4ac
D >0 two distinct roots.
Roots given by:
x = ( -b ± √b² -4ac) /2a
Here a = 1 , b= -11, c= -5
D = √ (-11)² -4(1)(-5)
= √121+20
=√141 >0
Two distinct roots.
x = (-(-11) ± √141) /2(1)
= (11 ±√141) /2
Therefore, Solution of the equation x² -11x -5 =0 using quadratic formula is equal to x = (11 ±√141)/ 2 .
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A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
Answers
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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PLEASE HELP... PLEASE
Answers
Answer:
So I am honestly not sure what THEY though when they did this.
Step-by-step explanation:
So when you look at this, we see that:
3x+3y=10
2x+3y=20
Lets just compare these two.
There is only two differences
There is 1 less x, or -1x in the bottom equation.
The number value is 10 more, or +10, in the bottom equation.
This must mean that -x=10
Or
x=-10
This is my way of doing it, their way of doing this is:
Combining the two equations 3x+3y=10 and 2x+3y=20
lets work through this their way and find our mistake.
So combining them we get:
5x-6y=30
Oh...
Well, I see their mistake, do you?
This is our equation:
5x+6y=30
Their equation:
5x=30
The difference is that they though they needed to subtract 3 y from 3y, canceling the two y variables out. When really, you need to combine the two y values.
So this is our REASONING.
Now, you cannot solve it this way further, since you have two variables.
However, using the method above, we were able to find that x=-10
Hope this helps! :)
2.
Find the slope of the line.
A. \(-\frac{4}{3}\)
B. \(\frac{3}{4}\)
C. \(-\frac{3}{4}\)
D. \(\frac{4}{3}\)
![2.Find the slope of the line.A. [tex]-\frac{4}{3}[/tex] B. [tex]\frac{3}{4}[/tex] C. [tex]-\frac{3}{4}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/2hgdSYEO05QI8arUXnu5uhwhf88qDTFP.jpeg)
Answers
Answer:
C. -3/4
Step-by-step explanation:
Answer:
-3/4
Step-by-step explanation:
You could identify two points and used the slope formula given two points.
OR
You can just count from one point to another.
First step: Identify two points where the line crosses nicely.
I see one at the y-intercept (0,1) and another at (4,-2). So starting at the y-intercept, how much do we need to travel down to get to (4,-2). Hopefully you say down 3, so the rise is -3. Now how much to the right after traveling down 3 from (0,1) to we need to travel to get to (4,-2) . Count the spaces...4 units right so the run is 4.
The slope is -3/4
EASY POINTS UP FOR GRABS!!
Answers
Answer:
\(1.445 \times {10}^{3} \)
Step-by-step explanation:
\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)
Determine if the following equation has x-axis symmetry, y -axis symmetry, origin symmetry, or none of these. Y = -|x/3| SOLUTION x-Axis Symmetry y-Axis symmetry Origin Symmetry None of these.
Answers
To determine if the equation y = -|x/3| has x-axis symmetry, y-axis symmetry, or origin symmetry, we can analyze the behavior of the equation when we replace x with -x or y with -y.
X-Axis Symmetry: To check for x-axis symmetry, we replace y with -y in the equation and simplify:
-y = -|x/3|
By multiplying both sides by -1, the equation becomes:
y = |x/3|
Since the equation does not remain the same when we replace y with -y, it does not exhibit x-axis symmetry.
Y-Axis Symmetry: To check for y-axis symmetry, we replace x with -x in the equation and simplify:
y = -|(-x)/3| = -|-x/3| = -|x/3|
By multiplying both sides by -1, the equation becomes:
-y = |x/3|
Again, the equation does not remain the same when we replace x with -x, indicating that it does not exhibit y-axis symmetry.
Origin Symmetry: To check for origin symmetry, we replace both x and y with their negative counterparts in the equation and simplify:
-y = -|(-x)/3| = -|-x/3| = -|x/3|
By multiplying both sides by -1, the equation becomes:
y = |x/3|
Once more, the equation does not remain the same when we replace both x and y with their negatives, showing that it does not possess origin symmetry.
Therefore, the equation y = -|x/3| does not exhibit x-axis symmetry, y-axis symmetry, or origin symmetry.
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least common denominator of 1/3 and 7/12
Answers
Least common denominator is the least common multiple of the given denominators.
Find the least common multiple of 3 and 12, this way:
The least common multiple of 3 and 12 is 12, which means that the least common denominator of 1/3 and 7/12 is 12.
explain the relationship between combinations and winning a lottery. Think of another scenario that has a similar relationship with combinations.
Answers
The possibility of winning the lottery is determined by the possible number of combinations, this means there are many possible combination but only one wins.
What is a combination?In math, a combination refers to the possible way to arrange a set of items.
How are combiantions related to the lottery?In the lottery, each ticket has a unique combination of numbers, which determines the total number of tickets and the possibility to win the lottery. Moreover, only one specific combination will be equivalent to the winner combinaton.
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please help, my time is running out
Answers
Answer: 40 ?
Step-by-step explanation:
Austin borrowed $3000 from the bank at a rate of 2.25% simple interest per year. How much total did he have to pay back after 5 years?
Answers
Answer:
Austin will have to pay $33,750 for the simple interest.
Step-by-step explanation:
2.25% into decimal = 0.0225
0.0225 x 3000 = 6750
6750 x 5 = 33750
find the perimeter in inches of the polygon. 7 in.24 in. a right triangle is given. one leg is labeled 7 inches. the other leg is labeled 24 inches. the hypotenuse is not labeled. in
Answers
The perimeter of the triangle is 56 inches.
The Pythagorean theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other two sides
We can use the Pythagorean theorem to find the length of the hypotenuse, which is the missing side of the right triangle:
\(c^2 = a^2 + b^2\)
\(c^2 = 7^2 + 24^2\)
\(c^2 = 625\)
c = 25
So the length of the hypotenuse is 25 inches. The perimeter of the triangle is the sum of the lengths of its three sides:
P = 7 + 24 + 25
P = 56
Therefore, the perimeter of the triangle is 56 inches.
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Please please PLEASE HELP I NEED IT RNNNNNN
Answers
Answer:
-2 is the answer
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-6-(x+3)/y
x = -5
y = 2
-6-(-5 + 3)/2
-6-(-2)/2
-6 + 2/2
-4/2
-2
Joe made $3200 in payments to Ashley Furniture for his sofa. The purchase price was $2999 before any fees. What was the finance charge? A. $201 B. $2999 C. $6199 D. $301
Answers
Answer:A
Step-by-step explanation:
We add all the numbers untill whit one of tham we get 3200
The sum of three consecutive even integers is 108. What is the largest number?
34
Answers
Answer:
It's 38.
Step-by-step explanation:
the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.
I hope this helps you!
Answer:
We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.
The problem states that the sum of three consecutive even integers is 108, so we can write an equation:
x + (x+2) + (x+4) = 108
We can simplify this equation by combining like terms:
3x + 6 = 108
3x = 102
x = 34
So, the smallest of the three consecutive even integers is 34.
The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38
The largest number of the three consecutive even integers is x+4 = 38.
Consider the monthly payment formula M = (Pr(1+r)^n/(1+r)^n-1 What is the name of the formula you get if you solve for P?
What about if you solve for n? What special function do you need to use when solving for n?
I will give brainliest if correct.
Answers
In the given formula we have variables:
M - monthly payment,P - principal,r - interest rate,n - number of payments.If we have to solve it for P then it should be called 'Principal' or 'Loan amount'.
If we have to solve it for n then it should be called 'Number of payments' or 'Number of installments'.
Since n is the power of a number we need logarithm to solve it for n.
Answer:
"Principal (loan amount)"
"Term of the loan (in months)" or "Number of monthly payments"
Logarithms
Step-by-step explanation:
Monthly Payment Formula
\(M=\dfrac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\)
where:
M = monthly payment.P = principal loan amount.r = interest rate per month (in decimal form).n = term of the loan (in months).If we solve for P, the name of the formula is "Principal (loan amount)".
If we solve for n, the name of the formula is "Term of the loan (in months)" or "Number of monthly payments".
When solving for n, we need to use logarithms:
\(\boxed{\begin{aligned}M&=\frac{Pr\left(1+r\right)^n}{\left(1+r\right)^n-1}\\\\M(\left(1+r\right)^n-1)&=Pr\left(1+r\right)^n\\\\\frac{\left(1+r\right)^n-1}{\left(1+r\right)^n}&=\frac{Pr}{M}\\\\1-\frac{1}{\left(r+1\right)^n}&=\frac{Pr}{M}\\\\\frac{1}{\left(r+1\right)^n}&=1-\frac{Pr}{M}\\\\\left(r+1\right)^{-n}&=1-\frac{Pr}{M}\\\\\ln \left(r+1\right)^{-n}&=\ln \left(1-\frac{Pr}{M}\right)\\\\-n\ln(r+1)&=\ln\left(1-\frac{Pr}{M}\right)\\\\n&=\frac{-\ln\left(1-\frac{Pr}{M}\right)}{\ln(r+1)}\end{aligned}}\)
Please help me!!!!
3. Compute the product axb in each of the
following cases:
a) a = -7.5
and b=0.25 ;
b) a = -2.5
and b=-18;
c) a = -812
and b=-0.75;
d) a = 4.25 and b= -326.
Answers
Answer:
a). -7.5*0.25 = -1.875
b). -2.5*(-18) = 45
c). -812*(-0.75) =609
d). 4.25*(-326) = -1385.5
How can it be shown that a = 1 is equivalent to 3a = 9?
Answers
Answer:
Can't be done
Step-by-step explanation:
3a = 9 divide both sides by 3
a = 3
that is not equivalent to a = 1
can't be done
Answer:
They aren't equivalent; a = 3
Step-by-step explanation:
If a = 1, then the expression will show:
3(1) = 9
3 × 1 does not equal 9.
3 × 3 equals 9.
The expression and variable are not equivalent.
A must equal 3 to be equivalent as that's the only was to equal 9 from this expression.
simplify (a+b) ²-2ab
Answers
Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
9. In Culver City, there are 720 households. If 5 out of every 12 of these households own a dog,
and 6 out of every 10 households that own a dog also have a fenced-in backyard, how many of
the households in Culver City are dog owners with fenced-in backyards?
a. 86
b. 180
C. 228
d. 360
e. 464
+
Answers
The households in Culver City that are dog owners with fenced-in backyards are 432.
How to determine the households that have a dog and fenced-in backyardsGiven the information provided in the question, there are 6 out of every 10 households that own a dog also have a fenced-in backyard. This can be expressed as a fraction - 6/10.
In order to determine the number of dog owners with fenced-in backyards, multiply 6/10 by the total number of households.
6/10 x 720 = 432 households
To learn fractions, please check: https://brainly.com/question/25779356
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Answer:
The solution is 8