Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answers
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Related Questions
Can you also tell me if the others are right? please?
Answers
Answer:
the others are right
Step-by-step explanation:
good work keep going
You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer
Answers
Answer:
24
Step-by-step explanation:
Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.
So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .
So we have 24 different HiFi systems are available to purchase from this retailer
there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10
Answers
Answer:
9
Step-by-step explanation:
A basketball team played five games. In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9. What was the mean difference in game scores over the five games? The mean difference in game scores over the five games was
Answers
Given:
A basketball team played five games.
In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9.
To find:
The mean difference in game scores over the five games.
Solution:
Total number of games = 5
Scores in 5 matches are 7, -3, 4, -2, 9.
Positive sign is used for winning and negative sign is used for losing the game.
We know that,
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{7-3+4-2+9}{5}[/tex]
[tex]Mean=\dfrac{20-5}{5}[/tex]
[tex]Mean=\dfrac{15}{5}[/tex]
[tex]Mean=3[/tex]
Therefore, the mean difference in game scores over the five games was 3.
HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning
Answers
Answer: Be careful !
Billy is with a park ranger. Should be correct BUT
It is not given that Billy is visiting the cliff dwelling.
Billy may be the Park Ranger.
So Billy may be with a park ranger.
Step-by-step explanation:
1 gallon is equal to 4 quarts (conversion factor). How many gallons do you have if you have 18 quarts?
START END CONVERSION FACTOR(s) SOLUTION
Answers
Answer:
4.5 gallons
Step-by-step explanation:
18/4
After conversion 18 gallons will be equal to 4.5 quarts .
Given,
1 gallon is equal to 4 quarts
Convert 18 quarts to gallons
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now 1 gallon is equal to 4 quarts ,
Here,
1 gallon = 4 quarts
Hence ,
18 quarts = 4.5 quarts .
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20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS! IS THIS RIGHT!
Answers
Answer:
A
Step-by-step explanation:
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answers
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
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4 4 4 4
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
Answers
4 x 105 in standard notation
Answers
Answer:
Lol its 420
Step-by-step explanation:
1. Transform pentagon BEARS According to (x,y) → (x + 6, y + 8). Write the coordinates for
pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane
Answers
Answer:
2,1
Step-by-step explanation:
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?
Answers
Answer:
B
Step-by-step explanation:
The equation that represents this direct variation between a and b is:
b = -a. See explanation below.
What is a Direct variation?
Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.
Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a
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Someone help me pls , i really wouldn’t like to fail :(
Answers
Answer:
the answer to that is gonna be B
Step-by-step explanation:
i just looked at the x's and divided them by 2 and compared the answers to y and those were the only ones that seemed to work lol..
ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70
Answers
Find the GCF(Greatest Common Factor) of 42 and 70: 14
Divide numerator and denominator by the GCF.
42 ÷ 14 = 3
70 ÷ 14 = 5
3/5
Answer:
3/5
Step-by-step explanation:
Think of the GCF of 42 and 70
which is 14 divide by 14 which you will get 3/5
(Alternate method)
If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc
until you get to a answer that can't be divided anymore
Hope this helps!
please help am confused
Answers
Answer:
9%Step-by-step explanation:
432 ÷ 6 = 72
8 = 1% of 800
8 x 9 = 72 = 9%
Step-by-step explanation:
I = P×r%×t
432 = 800 × r/100 × 6
432 = 4800 × r/100
[tex]r = \frac{432 \times 100}{4800} [/tex]
r = 9%
Which table was created using the equation y = 4x +4?
Answers
Answer:
x -2, -1, 0 1 2
y-4 0 4 8 12
Step-by-step explanation:
i think...
Answer:
X Y
1 8
2 12
3 16
4 20
5 24
Step-by-step explanation:
I'm not seeing a table so I assume you need to creat one
can a triangle have an exterior angle that is obtuse at two vertices? Explain
Answers
Answer:
Yes
Step-by-step explanation:
An obtuse triangle will have two obtuse angle at its exterior.
Take for instance, the angles in the triangle are 100, 40 and 40.
The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).
So, using the above analysis, we can conclude that the statement is possible.
Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market
Answers
Answer: it's c
Step-by-step explanation:
-6=2/3x What does x equal
Answers
Answer:
x = -9 :)
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the equation
brainliest pls if correcto
Name a point non-complanar to plane K
Answers
Answer:
did you attach an image?
Step-by-step explanation:
We have a figure given in question.
We have to find a point non-coplanar to plane K.
What is Coplanarity of points?Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.
According to the question, we have to find a point non-coplanar to
plane K.
All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.
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The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answers
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
Which theorem correctly justifies why the lines m and n
are parallel when cut by transversal k?
converse of the corresponding angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
converse of the alternate exterior angles theorem
Answers
Suppose the parallelogram JKLM has vertices:
J (2, 1)
K (7, 1)
L (6, −3)
M (1, −3)
Write each transformation in function notation and find the new coordinates of each point.
1. J' if the parallelogram is rotated counterclockwise 270° about the origin?
2. K' if the parallelogram is rotated counterclockwise 180° about the origin?
3. L' if the parallelogram is rotated counterclockwise 90° about the origin?
4. M' if the parallelogram is rotated counterclockwise 90° about the origin?
I NEED HELP
Answers
Answer:
1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)
2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)
3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)
4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)
Step-by-step explanation:
The coordinates of the vertices of the parallelogram are given as follows;
J(2, 1), K(7, 1), L(6, -3), M(1, -3)
1. We have, for a rotation of 270° counterclockwise about the origin we have
f(x, y) = (y, -x)
Therefore, we have for the vertices;
f(J(2, 1)) = J'(1, -2)
Therefore, we have the coordinates of J' as (1, -2);
2. We have, for a rotation of 180° counterclockwise about the origin we have
f(x, y) = (-x, -y)
Therefore, we have for the vertex point K;
f(K(7, 1)) = K'(-7, -1)
3. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point L;
f(L(6, -3)) = L'(3, 6)
4. We have, for a rotation of 90° counterclockwise about the origin we have
f(x, y) = (-y, x)
Therefore, we have for the vertex point M;
f(M(1, -3)) = M'(3, 1)
A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400
Answers
Answer:
D. 6,400
Step-by-step explanation:
I got it right
The fish population at the beginning of 2012 is 100.
GivenA fish population, p, can be represented by the equation;
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]
Where t is time in years since the beginning of 2015.
How to determine the population at the beginning of 2012?The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.
The difference between year 2015 and 2012 is;
t = 2015 - 2012 = 3
Substitute the value of t in the equation
[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]
Hence, the fish population at the beginning of 2012 is 100.
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The ratio of men to woman working for a company id 5 to 8. if there are 208 woman working for the company, what is the total numbers of employees
Answers
The ratio 0f men to worm is 5 to 8, so for every 8 women there are 5 men.
Divide the total woman by 8 and then multiply that by 5.
208/8 = 26 x 5 = 130
There is 130 men.
Which expression is equivalent to one over five m − 20? (4 points)
A one over five (m − 4)
B one over five (m − 100)
C 5(m − 4)
D 5(m − 100)
HELP ASAP
Answers
Answer:
The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B
Step-by-step explanation:
Let us solve the question
∵ One over five means [tex]\frac{1}{5}[/tex]
∴ One over five m - 20 = [tex]\frac{1}{5}[/tex] m - 20
→ By using the distributive property, take one over five as a common factor
from both terms
∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex]
→ Simplify the bracket
∵ [tex]\frac{1}{5}[/tex] m ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{5}[/tex] m × 5 = m
∵ 20 ÷ [tex]\frac{1}{5}[/tex] = 20 × 5 = 100
∴ [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex] = [tex]\frac{1}{5}[/tex] (m - 100)
∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] (m - 100)
The equivalent to one over five m − 20 is one over five (m − 100)
Plz help!!! Will mark brainliest!!!!!!
Answers
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60
Answers
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
11a − 2a = 9 what does a=
Answers
Answer:
a=1
Step-by-step explanation:hhqhhahehh
1/3 x + y = 4 solve for y
Answers
hope this helps :)
The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]
First, subtract [tex]\frac{1}{3}x[/tex] on both sides.
[tex]y=-\frac{1}{3}x+4[/tex]
You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex] is your answer.