Answer:
27
Step-by-step explanation:
The cat weighs 7 kg.
The rabbit weighs 3 kg.
The dog weighs 17 kg.
You can check these answers by adding them together.
A cat plus the rabbit is 10 kg.
The rabbit and the dog is 20 kg.
The dog and cat is 24 kg.
Triangle QRS and its dimensions are shown.
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?
The dimensions that represent a similar triangle to triangle QRS are given as follows:
B. 10 cm, 20 cm, 25 cm.
What are similar triangles?Similar triangles are two triangles that have the same angle measures.
These triangles will also have proportional side lengths, because of the sine/cosine/tangent relations in a right triangle and the law of sines for non-right triangles.
In this problem, we want a triangle that is similar to a triangle with the dimensions presented as follows:
s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.
Hence all these dimensions have to be multiplied by the same scale factor.
Then, option B is correct, as the ratios between the lengths are given as follows:
10/6 = 20/12 = 25/15 = 5/3.
Meaning that all sides were multiplied by 5/3.
Missing InformationThe problem is given by the image at the end of the answer.
A similar problem, also featuring similar triangles, is presented at https://brainly.com/question/11920446
#SPJ1
Answer Answer is B, thank you, I just love to help.
Step-by-step explanation:
Write a polynomial function with rational coefficients so that P(x) has given roots: -4 and 2i.
P(x) is a polynomial function having rational coefficients that has given roots is: P(x) = x³ + 2x² + 4x + 8.
Define the term roots of polynomial?The values of a variables for which the provided polynomial equals zero are referred to as the roots of a polynomial. If an is the polynomial p(x) root, then p(a) = 0.P(x) has given roots: -4 and 2i.
A radical is always preceded by a pair of plus & minus signs.
As a result, there would be another root -2i.
All of the roots are -4, -2i, + 2i.
As, the number of roots given are 3, thus the polynomial formed ill be cubic.
The roots in terms of the polynomial can be written as-
P(x) = (x - (-2))(x - 2i)(x + 2i)
P(x) = (x + 2)(x - 2i)(x + 2i)
Simplifying,
P(x) = x³ + 2x² + 4x + 8
Thus, P(x) is a polynomial function having rational coefficients that has given roots is P(x) = x³ + 2x² + 4x + 8.
To know more about the roots of polynomial, here
https://brainly.com/question/2833285
#SPJ4
Please help! This makes no sense to me
Geometry A
Brainliest for correct answer!!
What is the distance from the origin to point P graphed on the complex plane below?
The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
Given,
In the question;
From the figure,
To find the distance from the origin to point P graphed on the complex plane .
Now, According to the question:
To see the graph,
The point P lie on the x- axis and y - axis .
x = 2 and y = -5
We know the formula of distance,
Distance (d) = [tex]\sqrt{x^{2} +y^2}[/tex]
d = [tex]\sqrt{2^2 + (-5)^2}[/tex]
d = [tex]\sqrt{4 + 25}[/tex]
d = [tex]\sqrt{29}[/tex]
Hence, The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]
Learn more about Distance of point at:
https://brainly.com/question/12040665
#SPJ1
14 The equation u = 0. 99c shows the value of the U. S. Dollar compared to
the Canadian dollar on one particular day, where c = the value of the
Canadian dollar and u = the value of the U. S. Dollar. The table shows
the value of the U. S. Dollar compared to the Australian dollar on the
same day. Was the U. S. Dollar closer in value to the Canadian dollar or
the Australian dollar that day?
N
t
sed the
the unit
Australian Dollar
1
2
3
4
compare
U. S. Dollar
0. 95
1. 90
2. 85
3. 80
Show your work.
On that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
Define the term comparison of numbers?In arithmetic, comparing numbers is described as the process or method of determining whether one number is smaller, bigger, or equal to some other number based on their values.The equation u = 0. 99c depicts the value of the US dollar in relation to the Canadian dollar on a specific day.
c = the Canadian dollar's valueu denotes the value of the US dollar.From the equation,
For Australian dollar; (from table)
u = 0.95 c -->
a = 1/0.95 u
a = 20/19 u
(20/19u - u)/ u = 1/19 ....1
For Canadian dollar:
u = 0. 99c
c = 1/0.99 u --> c = 100/99 u
Thus,
(100 u / 99 - u)/ u = 1/99 .....2
From 1 and 2]
1/19 > 1/99
Thus, on that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
To know more about the comparison of numbers, here
https://brainly.com/question/17539143
#SPJ4
Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,
From the figure
A. alternate interior angles: 1
B. same side exterior: 4
C. vertical: 4 and 3
D. same side interior: 3
E. obtuse angle: 1
F. adjacent angle pairs: 1 and 2
G. alternate exterior: 2
H. corresponding: 4
I. complimentary:
What are parallel lines?parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play
some of the are used in the in the problem and definition of some them include
adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles
Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees
vertical angles are angles opposite to each other, formed when two lines meet
Learn more about angles here:
https://brainly.com/question/29242164
#SPJ1
This stem-and-leaf plot shows the number of Australian road fatalities in April for the years 2009 to 2019. Find the range of the data. Stem Leaf 7 2 889 9 10 11 15 4 1 2 6 1 3 4 3 Key 13 0=130
Help Please!
Solve the inequality and graph it’s solution.
Answer:
A) n > 0
Step-by-step explanation:
You want the solution and graph for -8n +18 > -6(3n -3).
SolutionEliminating parentheses, we have ...
-8n +18 > -18n +18
Subtracting 18 gives ...
-8n > -18n
Adding 18n, we have ...
10n > 0
Finally, dividing by 10 gives ...
n > 0
The graph is attached.
Jayce is a taxi driver.
M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.
What does the statement M(10) = K mean?
Choose 1 answer:
A
Jayce's fee for his Kth drive is equal to $10.
(B)
Jayce's fee for his 10th drive is equal to K dollars.
The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.
Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.
Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.
Learn more about equations -
https://brainly.com/question/21405634
#SPJ4
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. What expression could you create from that problem?
Options C and E are correct. The expression can be written in the forms of
C. 10.5(12 + x) square feetE. (126 + 10.5x) square feetHow to solve for the expressionWe have the length of the room as 12 feet
The width of the room = [tex]10\frac{1}{2}[/tex] feet
The expansion of the = 12 +x
What is the area of a rectangle?
The area of a rectangle is given as lw = length x width
Hence we would have the following:
(12+x)10.5 = area
We would have to open the bracket as well
126 + 10.5x
Read more on mathematical expressions here: https://brainly.com/question/723406
#SPJ1
Complete question
1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.
A. 10.5(12x) square feet
B. (10.5 + 12 + x) square feet
C. 10.5(12 + x) square feet
D. 126x square feet
E. (126 + 10.5x) square feet
F. (22.5 + x) square feet
"6 more than 7 times the amount of 10"
Answer: 76
Step-by-step explanation:
Based on the given conditions, formulate: 6+10*7
Calculate the product or quotient: 6+70
Calculate the sum or difference: 76
on
de)
yi
19 Dados los siguientes pares de medidas, explica en cada caso cuál es más precisa y justifica
tus elecciones.
34 cm ± 0.10 cm
14
14.8 cm
22.8 +0.1 cm
34 cm ± 0.12 cm
14.85 cm
6.2 + 0.1 cm
Answer: no clue
Step-by-step explanation: i don't know Spanish lol
Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?
Answer:
your answer is [tex]27/60[/tex] and [tex]7/60[/tex]
A carton of milk holds 10 cups. a recipe for strawberry milkshake requires 3/4 of a cup of milk. how many recipes could you make with the carton of milk.
What is an equation of the line that passes through the points (3,-3) and (3,-6)
Answer:
x = 3
Step-by-step explanation:
You want the equation of the line through points (3, -3) and (3, -6).
Vertical lineThe two points have the same x-value, indicating the line through them is a vertical line. That will have an equation of the form x = c.
The x-value of the given points is 3, so the equation is ...
x = 3
__
Additional comment
We note that the answer box is pre-filled with "y =". There is no "y =" equation that will go through these points. The slope is undefined, so the slope-intercept form of the equation cannot be used.
Consider the following conjecture.
There are no prime numbers between 7,608 and 7,620
How could this statement be shown to be true or false? Would it still be a conjecture if no counterexample were found? Explain
There are no prime numbers between7,608 and 7,620
A prime number is a whole number greater than 1 whose only factors are 1 and itself
The numbers between 7608 and 7620 are:
7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619
Here we have to check these numbers are prime number or not
Prime factorization
7609=7×1087
7610=2×5×761
7611=3×43×59
7612=2×2×11×173
7613=23×331
7614=2×3×3×3×3×47
7615=5×1523
7616=2×2×2×2×2×2×7×17
7617=3×2539
7618=2×13×293
7619=19×401
Hence, proved that there are no prime numbers between7608 and 7620
bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
To know more about Linear Equation refer to:
https://brainly.com/question/2030026
#SPJ4
Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown.
6p + 3n = 18 and 2n = p
6(2n) + 3n = 18
12n + 3n = 18
15n = 18; n = $1.20
Onions cost $1.20 per pound.
Analyze the daughter’s solution. Which statements are true? Check all that apply.
The equation 2n = p should be 2p = n.
The equation 6p + 3n = 18 should be
6n + 3p = 18.
The actual cost of the onions is $3.00 per pound.
Potatoes cost $0.60 per pound.
Potatoes cost $1.50 per pound.
Potatoes cost $2.40 per pound.
The correct statements are,
(1) The equation 2n = p should be 2p = n.
(2) The actual cost of the onions is $3.00 per pound.
(3) Potatoes cost $1.50 per pound.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes.
The equation will be formed as,
6p + 3n = 18
n = 2p
Substitute the value of n = 2p in the equation,
6p + 3(2p) = 18
6p + 6p = 18
12p = 18
p = $1.5
The cost of an onion is,
n = 2p
n = 1.5 x 2
n = $3
To know more about an expression follow
https://brainly.com/question/11884798
#SPJ1
2x + 3x equals to 20x find the value of x.
Answer:
Here,
2x+3x=20x
or,5x=20x
or,5x-20x=0
or,15x=0(divide both sides by -15)
hence,x=0
is y=7-3x a linear function
Answer:
no
Step-by-step explanation:
because the equation is supposed to be y=mx+b and the x comes after slope which is after m
Answer: Yes
Step-by-step explanation:
Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.
Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Divide the top and bottom on the fraction by 4
a publisher reports that 45% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 300 found that 37% of the readers owned a particular make of car. determine the p-value of the test statistic. round your answer to four decimal places.
The test statistic's p-value is -2.785.
According to A publisher, 45% of its readers own a particular make of car.
Claim: An executive in marketing would like to test the claim that the percentage is different from what is reported.
[tex]H_{o}[/tex]: p = 0.45
[tex]H_{a}[/tex]: p ≠ 0.45
a random sample of 300 found that 37% of the readers owned a particular make of car.
= 37% × 300
= (37 ÷ 100) × 300
X = 111
n= 300
One sample proportion test should be used.
p-vector = x ÷ n,
p-vector = 111 ÷ 300
p-vector = 0.37
The test statistic's formula,
= [tex]\frac{p-q}{\sqrt{\frac{pq}{n} } }[/tex]
test statistic = [tex]\frac{0.37- 0.45}{\sqrt{\frac{0.45(1-0.45)}{300} } }[/tex]
≈ -2.7851
thus, the p-value of the test statistic is -2.7851.
Read more about p-value at: brainly.com/question/13865364
#SPJ4
Two friends, Bo and Daniel, had just bought their first cars. The equation y = 31.5x
represents the number of miles, y, that Daniel can drive his car for every x gallons of
gas. Bo uses 9 gallons of gas to drive 256.5 miles in his car.
By using a linear equation, it is obtained that
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
3 miles
What is linear equation?
At first, it is important to know about equation.
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas
Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]
Bo uses 9 gallons of gas to drive 256.5 miles in his car.
Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.
Bo uses 1 gallon of gas to drive 28.5 miles in his car.
Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =
31.5 - 28.5 = 3 miles
To learn more about linear equation, refer to the link:
https://brainly.com/question/2030026
#SPJ9
Complete Question
The complete question has been attached here.
please help me with this math problem
A biker travels down the street at 15 m/s. It
takes 60 seconds to travel to the end of the
street. How long was the street?
The street was 900m long when the speed is 15m/s and, the time is 60 seconds.
What is meant by distance, speed, and time?To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.
Distance divided by time equals speed. Distance = time * speed
To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.
Given,
Speed of the biker who travels down the street=15m/s
Time taken=60seconds
Distance=?
We know that,
Distance=Speed× Time
Distance=15×60
Distance=900m
Therefore, the street was 900m long
To know more about distance, speed, and time, visit:
https://brainly.com/question/21901071
#SPJ1
To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
A) The monthly credit card payment would be $511.11, which is lower than the monthly payment on the bank loan.
B) The monthly payment on a bank loan would be $480, which is lower than the monthly credit card payment.
C) The monthly payment on a bank loan would be $551.11, which is lower than the monthly credit card payment.
D) The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
Any explanation would be greatly appreciated as well! <3
The plan that would give Genesis the lowest monthly payment is D. The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.
How to calculate the payment?From the information, the home improvement project that totals $16,000, and Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years.
The simple interest earned will be:
= Principal × Rate × Time / 100
= (16000 × 8 × 3)/100
= $551.11
The compound interest will be:
A = P(1 + r/n)^nt
A = accumulated amount
P = amount deposited
r = rate
n = times of compound per year
t = years
This will be:
A = 16000(1 + 0.15/12)^(12×7)
A = $540.78
Therefore the correct option is D.
Learn more about payment on:
brainly.com/question/28817399
#SPJ1
lee went shopping with $60.50 . he bought 5 boxes of blue berries and 3 watermelons and had $16.50 left each watermelon cost $8.30
Assuming the question is : "how much does 1 box of blueberries cost?"
After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50
Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44
We are given the cost of 1 watermelon is $8.30
Therefore, 3 watermelons cost $8.30 x 3 = $24.90.
-> 5 boxes of blueberries cost $44 - $24.90 = $19.10
-> 1 box of blueberries cost $19.10 : 5 = $3.82
Answer:
If your trying to find the total of the 5 boxes of blue berries the answer is
$19.10
Step-by-step explanation:
60.50 - 16.50 = 44$ meaning he spent that much.
8.30 x 3 = 24.9
19.10 + 24.9 = 44
hope this helps
One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?
The change that Tamir would have to receive would be: $5.75
How to solve for the changeWe would first have to solve for the total amount of the tickets that Tamir has received
This would be given as
32.5 + 26.5 dollars
= 59 dollars
Given that he has a 1/4 off in both of the tickets the amount that he would have to pay would be
59 - 1/4 * 59
59 - 14.75
= $44.25
This is the amount that he would have to pay for the coupons.
Given that he used a $50 bill, we would have to solve for his change.
This would be solved as $50 - $44.25
= 5.75
Hence his change is going to be $5.75
Read more on change here: https://brainly.com/question/7827315
#SPJ1
The handle of a car jack is moved 75cm and the car is lifted 2.5 cm. What is the ideal mechnical advantage of this car
Jack?
The ideal mechanical advantage of this car Jack: 30cm
What is Ideal mechanical advantage?
The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (dr) and the distance over which the effort is applied (de).
The Handle of the car jack = 75cm
The car lifted by the jack = 2.5cm
According to the formula:
Ideal mechanical advantage = The resistance force / The effort force
or, (Fr/Fe)
IMA = 75 / 2.5
IMA = 30cm
Hence, Ideal mechanical advantage of the car jack = 30cm
To learn more about Ideal mechanical advantage click on the link
https://brainly.com/question/27679784
#SPJ1
3x + 5y = 4
16x + 10y = 4
How can one number in the second equation be changed so the system has only one solution? Explain.
The way that one number in the second equation be changed so the system has only one solution is; to divide each term by 2 to get the coefficient of y as 5.
How to solve simultaneous equations?There are different methods to solve simultaneous equations such as;
Substitution MethodElimination MethodGraphical MethodWe are given the equations as;
3x + 5y = 4
16x + 10y = 4
Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.
The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.
Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.
Read more about Simultaneous equations at; https://brainly.com/question/16863577
#SPJ1