A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.
Answers
Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
y = 30
y = 30 k = 6
y = 30 k = 6x = 5
y = 30 k = 6x = 5Equation: y = 6x
y = k × x
y = 10 × 8
y = 80
So,
y = 80
y = 80 k = 10
y = 80 k = 10x = 8
y = 80 k = 10x = 8Equation: y = 10x
y = 3x
18 = 3x
x = 18/3
x = 6
So,
y = 18
y = 18k = 3
y = 18k = 3x = 6
y = 18k = 3x = 6Equation: y = 3x
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
y = 72
y = 72k = 2
y = 72k = 2x = 6
y = 72k = 2x = 6Equation: y = 2x²
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
y = 5
y = 5k = 30
y = 5k = 30x = 6
y = 5k = 30x = 6Equation: y = 30/x
y = k/x
y = 36/4
y = 9
So,
y = 9
y = 9k = 36
y = 9k = 36x = 4
y = 9k = 36x = 4Equation: y = 36/x
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
y = 20
y = 20k = 60
y = 20k = 60x = 3
y = 20k = 60x = 3Equation: y = 60/x
y = 24/x
y = 24/12
y = 2
So,
y = 2
y = 2k = 24
y = 2k = 24x = 12
y = 2k = 24x = 12Equation: y = 24/x
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Related Questions
A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?
Answers
Answer:
18
Step-by-step explanation:
First we need to know how many vehicles they can wash in a minute.
1. So you do 10/45. You get 4.5
2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.
Hope this helps! :D
answer:
7.5
I'm not good at don't hate me pls???
Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)
Answers
Answer:
Circumference = 31.4 feet
Area= 78.5 sq. feet.
Step-by-step explanation:
brainliest please?????
Which set of ordered pairs (x,y)(x,y) could represent a linear function?
Answers
Tell me if you want me to explain!
Hope this helped!! :)
Three-fourths divided by 2 is?
Answers
Answer: i think 1/4
Step-by-step explanation: maybe i might be incorrect
Answer:
3/4 or 1 1/2
This is an easy mutiplixation problem
you just turn the 2 into a fraction.
Can you give 50 cent in 8 dollars to 17 people
Answers
Need help answering this question, and 4 others that are on my page. Giving Points and Brainiest.
Answers
h(x) = -4
Step-by-step explanation:
Simple. Plugging this into the equation will give us:
h(x) = -14 -(-40)/4 = -14+10
h(x)= -4
Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes
Answers
Answer:
"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.
Step-by-step explanation:
b. po
If they work together, they need 47 minutes to dig the trench.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.
Marty can dig a 10 ft trench in 90 minutes, and in one minute
10 ft = 90
1 ft = 90/10
1ft = 9 minuted
If Chris can dig a 10 ft trench in 110 minutes, and in one minute
10 ft = 100 minute
1 ft = 100/10
1 ft = 10 minute
If they worked together x minute needed to dig 1 ft,
1/x =1/9+1/10
1/x=1/9+1/10
1=19/90 x
90x=19
x=90/19
x=4.7 minute
For 10 feet,
x = 47 minute
Thus, if they work together, they need 47 minutes to dig the trench.
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What is the perimeter, in meters (m), of ∆PRT?
Answers
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
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given:3(x-5)+1=10 prove:x=8
Answers
Answer:
x=8
Step-by-step explanation:
3x-15+1=10
3x=10+15-1
3x=24
x=24/3=8
easy
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS?
Answers
Answer:
B
Step-by-step explanation:
jus belive me
The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
On a coordinate plane, parallelogram PQRS is shown.
Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).
In the diagram, SR = 4√2 and QR = √10.
We know SR = PQ and RQ = SP
Then the perimeter of the parallelogram is the sum of all sides.
P = PQ + QR + RS + SP
P = 4√2 + √10 + 4√2 + √10
P = 8√2 + 2√10
Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
More about the parallelogram link is given below.
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If 43 liters of water are enough to water 25 of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
Answers
4 x 43 = 172L
Your answer is 172 litres :)
(If you meant 25 plants I would be able to help you if you could tell me how many plants were in the house altogether)
Split £10 into the ratio 4:1
Answers
Answer:
let the shares be 4x and 1x (4:1)
total share = 4x + 1x = 5x
total amount = 10£
5x = 10£
x = 2£
1st share = 4x = 4*2£ = 8£
2nd share = 1x = 1*2£ = 2£
.
.
[tex]{\bold{\red{HOPE\:IT\:HELPS!}}}[/tex]
[tex]\color{yellow}\boxed{\colorbox{black}{MARK\: BRAINLIEST!❤}}[/tex]
Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?
Answers
Answer:
25 this is a write answer
halfway between -20 and 10
Answers
Answer:
[tex]-5[/tex]
Step-by-step explanation:
Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]
P = y² + 2z find the value of P if y = 3 and z = -4
Answers
Answer:
[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]
Answer:
P = 1
Step-by-step explanation:
P = [tex]y^{2}[/tex] + 2 (-4)
P= [tex]3^{2}[/tex] + -8
P = 9 + -8
P = 1
Hope this helps!
Fully Factorise : 8x^2+6x
Answers
Answer:
2(4+3) or undefined
Step-by-step explanation:
lmk if this helped
what triangle is formed with the angles 32 126 and 32
Answers
Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?
Answers
Answer:
$18.75
Step-by-step explanation:
multiply 25 * 3/4 ( 0.75) and you get 18.75
What is the slope of this line?
Answers
Answer:
y= -3x -3
Step-by-step explanation:
why is the product of 3/2 and 3/4 greater than 3/4
Answers
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
please answer the question and how you answered it NO LINKS AND NO WEBSITES
Answers
Answer:
y= 27-6x
Step-by-step explanation:
For the first equation you add 6x on both sides which will leave us at
-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answers
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
What is the area of this tile?
Answers
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
how many times does 15 go into 142 please no links thank you 71 points
Answers
Explanation
Janelle came to bat 464 times in 131 games. At this rate, how many times should she expect to have at bat in a full season of 162 games?
Answers
The rate at which she bats is an illustration of ratio and proportions
She's expected to bat 574 times in 162 games
In 131 games, she bat 464 times
Represent this as a ratio
[tex]\mathbf{Ratio = 131 : 464}[/tex]
Let the number of times she bat in 162 games be represented with x.
So, the ratio is represented as:
[tex]\mathbf{Ratio = 162 : x}[/tex]
Equate both ratios
[tex]\mathbf{162 : x = 131 : 464}[/tex]
Express as fractions
[tex]\mathbf{\frac{x}{162 }= \frac{464}{131 }}[/tex]
Multiply both sides by 162
[tex]\mathbf{x= \frac{464}{131 } \times 162}[/tex]
Multiply
[tex]\mathbf{x= \frac{75168}{131 } }[/tex]
Divide
[tex]\mathbf{x= 574}[/tex]
Hence, she's expected to bat 574 times in 162 games
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20 points im confused with this one
Answers
Answer: D
Step-by-step explanation:
Answer:
i say go with D
Step-by-step explanation:
In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME
Answers
Answer:
765 students
Step-by-step explanation:
x- total number of students
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students
The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.
If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;
x be the total number of students
Therefore,
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students.
Learn more about the unitary method, please visit the link given below;
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The sum of the squares of two numbers is 202 the difference of the numbers is -2 both numbers are positive find the numbers
Answers
Answer: a2 + b2 = 202
Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.
Answer:
[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex] ⇔ [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]
Step-by-step explanation:
find the mode of the following set data
3, 10, 36, 26, 19, 2, 2, 40
Answers
Answer:
2
Step-by-step explanation:
it is the only number that occurs more than once
Please help it’s so hard for me
Answers
Answer:
Answer is d
Step-by-step explanation:
