Answers
Answer: B
Step-by-step explanation:
To find r, we need to use the formula to find slope. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. Since we are given the coordinates and slope, we can plug them into the formula and solve for r.
[tex]\frac{2}{3} =\frac{3-5 }{r-4}[/tex] [multiply both sides by r-4]
[tex]\frac{2r-8}{3}=3-5[/tex] [subtract]
[tex]\frac{2r-8}{3}=-2[/tex] [multiply both sides by 3]
[tex]2r-8=-6[/tex] [add both sides by 8]
[tex]2r=2[/tex] [divide both sides by 2]
[tex]r=1[/tex]
Now that we found that r=1, we know that the answer is B.
Related Questions
A total of 500 married working couples were polled about their annual salaries, with the following information resulting: Husband Wife Less than More than $25,000 $25,000 Less than $25,000 212 198 More than $25,000 36 54 For instance, in 36 of the couples, the wife earned more and the husband earned less than $25,000. If one of the couples is randomly chosen, what is (a) the probability that the husband earns less than $25,000
Answers
Answer:
36/500
Step-by-step explanation:
The probability that the husband earns less than $25,000 is 0.496.
Given that,
A total of 500 married working couples were polled about their annual salaries, with the following information resulting:
Husband
Wife Less than $25,000 More than $25,000
Less than $25,000 212 198
More than $25,000 36 54
Thus, for instance, in 36 of the couples, the wife earned more and the husband earned less than $25,000. If one of the couples is randomly chosen.
We have to determine,
What is the probability that the husband earns less than $25,000?
According to the question,
The probability that the husband earned less than $25,000 is,
Total number of couples = 500
The count of husbands earning less than $25,000 is 212 and 36.
[tex]\rm Probability = \dfrac{Total \ number \ of \ couples}{Husband \ earn \ less \ than \ 25000}\\\\ Probability= \dfrac{212+36}{212+36+198+54}\\\\Probability = \dfrac{246}{500}\\\\Probability = 0.496[/tex]
Hence, The probability that the husband earns less than $25,000 is 0.496.
For more details refer to the link given below.
https://brainly.com/question/17090318
What is the value of x in the equation 8x – 2y = 48, when y = 4?
EOF
6
7
O OG
14
48
Answers
9 - 10x = 2x + 1 - 8x
Answers
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]9 - 10x = 2x + 1 - 8x[/tex]
[tex]9-10x=-6x+1[/tex]
Subtract 9 from both sides:
[tex]9-10x-9=-6x+1-9[/tex]
[tex]-10x=-6x-8[/tex]
Add 6x to both sides:
[tex]-10x+6x=-6x-8+6x[/tex]
[tex]-4x=-8[/tex]
Divide both sides by -4:
[tex]\frac{-4x}{-4}=\frac{-8}{-4}[/tex]
[tex]x=2[/tex]
Answer:
x = 2
Step-by-step explanation:
9-10x = 2x+1-8x
1. move all like terms to one side
-10x-2x+8x = -9+1
2. simplify
-4x = -8
3. divide the -4 from both sides of the equation
x= -8/-4
4. x=2
What is the range of this exponential function y=9^×+2
Answers
Answer4/8 x 69
Step-by-step explanation:
You add Tekashi
who can answer this
(WITH AN EXPLANATION)
will mark brainlest
Answers
Answer:
Factors: (x²y+6)(y²-11)
Step-by-step explanation:
Here's the original equation.
x²y³ - 11x²y + 6y² - 66
Let's separate it into two groups to make it easier.
(x²y³ - 11x²y) + (6y² - 66)
Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?
Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.
Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.
So (x²y³ - 11x²y) becomes x²y (y²-11)
This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)
Let's apply this same idea to (6y² - 66).
6 is the only thing in common between the two polynomials.
If we follow the same steps we get 6 (y²-11).
Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?
So lets combine the things that were on the outside of both (y² - 11).
What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.
This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).
If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.
Hope that helps!
For every three girls taking classes at a martial arts school, there are 4 boys who are taking classes. If there are 236 boys taking classes, predict the number of girls taking classes at the school
Answers
Answer:
177 girls
Step-by-step explanation:
3:4 = girls:boys
3:4 = ?:236
3 = ?
4 = 236
236 divided by 4 equals 59.
Multiply the number of girls by 59 to get your answer.
3*59=177
3:4 = 177:236
girls:boys girls:boys
Miles has 25 coins in his pocket. Some are nickels and some are dimes. He has a total of $1.65. How many of each type of coin does he have? Let x represent _____________________________ Let y represent _____________________________ System: _____________________ _____________________ Solution: x = ____________ y = ____________
Answers
Answer: 17 nickels, and 8 dimes.
Step-by-step explanation:
So Miles has 25 coins in his pocket, Suppose that x is the number of nickels, and y is the number of dimes, then we have that:
x + y = 25
And we also know that the total value is $1.65
Then we have that:
x*0.05 + y*0.10 = 1.65
Then we have a system of equations:
x + y = 25
x*0.05 + y*0.10 = 1.65
The first step is isolating one of the variables in one of the equations, i will isolate x in the first one.
x = 25 - y
Now we can replace that in the second equation:
(25 - y)*0.05 + y*0.10 = 1.65
Now we solve this for y.
25*0.05 - y*0.05 + y*0.10 = 1.65
1.25 + y*(0.10 - 0.05) = 1.65
y*0.05 = 1.65 - 1.25 = 0.40
y = 0.40/0.05 = 8
So Miles has 8 dimes.
And:
x + y = 25
x + 8 = 25
x = 25 - 8 = 17
And Miles has 17 nickels.
A research organization studying families in various countries reported the following data for the amount of time that children spent with their fathers each day. What is the mode and the median, respectively? Country Time with Dad (minutes) Belgium 30 Canada 44 China 54 Finland 50 Germany 36 Nigeria 42 Sweden 46 United States 42 A. 42, 42 B. 42, 43 C. 43, 42 D. 43,43
Answers
Answer:B. 42, 43
Step-by-step explanation:
STEP 1 Listing out the data set
Country Time with dad
Belgium 30
Canada 44
China 54
Finland 50
Germany 36
Nigeria 42
Sweden 46
United States 42
STEP 2--- finding the mode and median
Mode----The mode of this data set is the number that occurs most frequently in this research date.
Time with dad in ascending order is given as 30, 36, 42, 42, 44,46,50,54
The number that occurred the most is 42 = mode
Median The median is the middle value in a data set
Since these data set is an even number, we take the average of the two middle numbers
Arranging in ascending order, we have
30, 36, 42, 42, 44, 46, 50, 54---------------42 and 44 are the middle numbers
42+ 44/2 =43
Therefore mode and median are 42 and 43 respectively
A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4, 5. The second column is labeled f of x with entries 105, 0, negative 15, 0, 9, 0, negative 15, 0, 105, 384. According to the table, which ordered pair is a local minimum of the function, f(x)?
Answers
Answer- A,D,E
Step-by-step explanation:
A two column table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5.
Which equations represent the data in the table? Check all that apply.
y – 6 = y minus 6 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 2 = –y minus 2 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 1 right-parenthesis.(x – 1)
y + 2 = y plus 2 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x minus 6 right-parenthesis.(x – 6)
y – 1 = –y minus 1 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)
y – 3.5 = –1.25x
Im just rephrasing the question
Answer:
D. (2,-15)
Step-by-step explanation:
Hope this helps!
Please help I will give branlyest
Answers
Answer:
3
Step-by-step explanation:
. Answer the following: 7 x 2 = 14
1. Fin
d 2/3÷4
Answers
Answer:
2/3 ÷ 4=1/6
Step-by-step explanation:
2/3÷4=2/3×1/4
=1/3×2
=1/6
What is the substitution for the equation
Answers
Answer:
[tex]y=3x[/tex] (Equation 1)
[tex]y=x-2[/tex] (Equation 2)
We can substitute Equation 1 into Equation 2 like so:
[tex]y=x-2[/tex]
[tex]3x=x-2[/tex]
Subtract x from both sides:
[tex]2x=-2[/tex]
Divide both sides by 2:
[tex]x=-1[/tex].
Substitute [tex]x=-1[/tex] into Equation 1 to find y:
[tex]y=3x[/tex]
[tex]y=3(-1)[/tex]
[tex]y=-3[/tex]
Bill found a book he wanted on sale for $20.80. The original price of the book was $32. Find the discount rate.
Answers
Answer:
35% discount
Step-by-step explanation:
We can first find what percent of 32 20.80 is.
This can be shown by using a percent proportion.
[tex]\frac{20.80}{32} = \frac{x}{100}[/tex]
We can cross multiply to find the value of [tex]x[/tex].
[tex]20.80\cdot100=2080\\\\2080\div 32 = 65[/tex]
So 20.80 is 65% of 32.
However, this is the percent of the original price. To find the discount, we have to subtract 65 from 100.
[tex]100 - 65 = 35[/tex]
So the book was on a 35% discount.
Hope this helped!
Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x. The time of Trip 2 is how many hours. The distance of Trip 1 is how many km.
Answers
Answer:
time = .8 hours distance = 4km
Step-by-step explanation:
Answer:
The First on is 0.8 hours
The seconded one is 4 km
2/3 + 1/4
Answers should be in the format 5/2 or 2/5 no decimals or mixed numbers
Answers
Answer:
11/12
Step-by-step explanation:
2/3+1/4
8+3/12
=11/12
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Answer:
The 12.6 oz bottle
Step-by-step explanation:
0.19/oz for the 12.6 oz
0.21/oz for the 25.3 oz
The size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.
Let the unit price be x:
= 0.19/oz for the 12.6 oz
x = 0.21/oz for the 25.3 oz
Thus, the size is the better buy based on the unit price is 12.6 oz bottle if a certain shampoo is available in two sizes.
Learn more about the linear equation here:
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The LCM and GCF of 4,32,12
Answers
Answer: LCM =96
GCF=4
Step-by-step explanation:
Four times the number x increased by 15 is 83
Answers
Answer:
17
Step-by-step explanation:
83-15=68
68/4=17
The number of marbles in a jar is
A quantitative discrete
B quantitative continuous
C categorical
Answers
Luke buys 4 tickets for a concert The total cost is 65.80.How much does he pay for each ticket
Answers
Answer:
$16.45
Step-by-step explanation:
Divide the total price by the number of tickets.
$65.80/(4 tickets) = $16.45/ticket
Answer: 16.45
Step-by-step explanation:
Total Money = 65.80
Number of tickets Luke buys = 4
Cost of 1 ticket = 65.80/4 = 16.45
Therefore, one ticket costs 16.45
16 - (-4) =
64
-64
4
-4
Answers
Answer:
-64
Step-by-step explanation:
A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many miles
must be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day
Answers
Answer:
The charges of both companies will be same if truck is driven 200 miles per day
Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B
Step-by-step explanation:
Let the truck is driven X miles per day
Charges of company A will be = 90+0.4X
Charges of company B will be =30+0.7X
Let us find out value of X when charges of both companies are same
which means that 90+0.4 X= 30+0.7X
90-30 = 0.7X-0.4X
60 = 0.3X
60/0.3 = X
X= 200
Answer:
200 miles
Step-by-step explanation:
hope this helps :)
the question.
A flagpole has a height of 25 meters. There are approximately 3.3 feet in 1 meter.
How tall is the flagpole, in feet, rounded to the nearest tenth?
Answers
Answer:
Step-by-step explanation:53
The height of the flagpole is 82.5 feet.
What is unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that a flagpole has a height of 25 meters.
We know that there is 3.3 feet in 1 meter.
1 meter=3.3 feet.
Now we have to find the height in feet.
So we have to multiply twenty five with three point three
25×3.3=82.5 feet
25 meters=82.5 feet.
Hence, a flagpole has a height of 82.5 feet.
To learn more on Unit of Measurement click:
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what is 5+10+10+5. Please explain
Answers
Answer: 30
Step-by-step explanation:
5+5 = 10
10 + 10 = 20
10 + 20 = 30
Hope this helps
Plz mark brainliest
Answer:
5 + 10 + 10 + 5 = 25
Step-by-step explanation:
because if you add them all up that is what you will get
May someone help me out?
Answers
=============================================
Explanation:
We can set up the following proportion
a/b = c/d
where the numerators 'a' and 'c' represent the scaled down dimensions, and b and d represent the actual real life dimensions.
For this particular problem, we have to keep in mind that 'a' and 'c' are in cm; while b and d are in inches.
So we could have
a = 16.8 cmb = 84 inchesc = 15 cmd = x inches, where x is unknown for nowSince d is in inches, this makes x be in inches as well.
------------------
Let's solve for x
a/b = c/d
16.8/84 = 15/x
16.8x = 84*15 ..... cross multiply
16.8x = 1260
x = 1260/16.8
x = 75
The suspect is 75 inches tall. This converts to 75/12 = 6.25 feet or 6 feet 3 inches (since 0.25 ft = 0.25*12 = 3 ft)
Which property of equality justifies step f?
Answers
Answer:
A
Step-by-step explanation:
You divided -7x by -7, the -7's cancel out leaving x
Simplify the expression: –3(–7 + 3z)
Answers
Hey there! I'm happy to help!
We want to multiply each term inside the parentheses by the number on the outside.
-3(-7)=21
-3(3z)=-9z
Therefore, our expression is 21-9z.
Now you know how to use the distributive property! Have a wonderful day! :D
Solve the system of equations using any method.
-3x - 18y - 3z = 0
X + 6y +z = 8
-2x - 12y – 2z = -30
Select the solution to the system of equations.
A
(1,6,1)
(0,8,-30)
no solution
(-3,1,-2)
Answers
Answer:
Step-by-step explanation:
2x + 12y + 2z = 8
-2x - 12y - 2z = -30
0 ≠ -22
no solution
Need answer please some one give me the anwser
Answers
Answer: True
Step-by-step explanation:
the first one is straightforward but the next, simply convert 5/7 into decimal form (0.7142857142857142857143) and multiply by 7 which equals 5 which fits the ratio.
I'm not sure what is 89•86/2
Answers
the answer is 3827
both multiplied and simplified.
Hey there!
[tex]Answer:\boxed{3827}[/tex]
[tex]Explanation:[/tex]
[tex]89*\frac{86}{2}[/tex]
[tex]89*\frac{86}{2}=3827[/tex] Multiply and find the answer
[tex]3827[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
