Suppose y varies directly with x. If y = 6 when x = 18, find the value of y when
x= 8.

Answers

Answer 1

Answer:

y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

y = 6 when x = 18 , then

6 = 18k ( divide both sides by 18 )

k = [tex]\frac{6}{18}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of variation

When x = 8, then

y = [tex]\frac{1}{3}[/tex] × 8 = [tex]\frac{8}{3}[/tex]


Related Questions

What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, comma, 2, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \sqrt{10} 10 ​ square root of, 10, end square root (Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root (Choice C) C 888 (Choice D) D 99

Answers

Answer:

Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root = √29

Step-by-step explanation:

When given coordinates, the distance between those points(coordinates) is calculated as:

Distance = √(x2 - x1)² +(y2 - y1)²

Given(x1, y1), (x2, y2)

Fromm the question, we are given points(4,7) and (2,2)

Distance = √(x2 - x1)² +(y2 - y1)²

= √(2 - 4)² + (2 - 7)²

= √-2² + -5²

= √4 + 25

= √29

Therefore, Choice B is the answer = √29

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?

Answers

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

please help with this, i don’t understand it.

Answers

Answer:

Im pretty sure its 50

Step-by-step explanation:

A line is 180° so you add

65 + 65 = 130

Then subtract 180

180 - 130 = 50

Hope that helps

Answer:

50

Step-by-step explanation:

The total degrees is 180 so

use the equation 65+65+x=180

simplify

130+x=180

minus 130 on both sides

x=50

the quotient of 5 times a number and 7 is equal to 10 what is the number

Answers

D.15 because 15 divided by 5 is 3 and 3+7 is equal to 10. Hope that helped

Help needed. please only answer if you know it.

Answers

Answer:

B

Step-by-step explanation:

f(x) = -(x+3)(x+1)

The zeros are -3 and -1  so we can eliminate graph a

It is negative so it points down

This eliminates graphs c and d

whats is 1+1

*i cant figure it out *

Answers

Answer:

2

Step-by-step explanation:

The. Awnser is 1+1=2

Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.

Answers

Answer:

A, C, D

Step-by-step explanation:

See attached for answer options

As per the table, the points are:

(4, 80) and (7, 140)

This is linear function and the formula is:

y = mx + bm = (140-80)/(7-4) = 2080 = 20*4 + bb = 0

So the function is

y = 20x

The correct answer options attached

You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it

Answers

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

7x/7 = 40/7

x= 5.7

Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?

Answers

Answer:

6 to 8 percent

Step-by-step explanation:

Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle books, but she can afford no more than 15 items total. If x represents the number of childrens books and y represents the number of puzzle books Amelie purchases, which point lies in the solution set?​

Answers

x = 9
y = 6

Step by step:

Divide 15 by 2: 15 ÷ 2 = 7.5
Subtract 0.5 from 7.5 (this will later be added back): 7.5 - 0.5 = 7
Subtract 1 from 7 (she wants to buy at least 2 more children books): 7 - 1 = 6
Subtract 6 from 15 (6 being the number of puzzle books, 15 being the total number of items): 15 - 6 = 9 (number of children books)

Another one please I am gonna Fail

Answers

Answer:

115

Step-by-step explanation:Beacsue that is way smaller than usal...the angle is 180 degress so if you do 55+65=120 so it defintly isn't 120 because that is correct so ya.

Write each rational exponent as a radical.
X1/6

Answers

Answer:

i pooped myself

Step-by-step explanation:

please help

A) How many stems and leaves would a stem-and-leaf plot of 20 data points from 10-59 have?

A 20 stems and 5 leaves B 20 stems and 20 leaves C 5 stems and 20 leaves D 5 stems and 5 leaves


B) 5q = 15

ANSWER BOTH PLS!

Answers

5q=15, the answer is 3 because you divide 5q by 5 and divide 15 by 5 and get 3

Explicit formula -6,-10,-14

Answers

Answer:

Tn = -6 + (n - 1)(-4)

Step-by-step explanation:

The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.

The first term is given to you and that is -6.

The common difference is -4 because:

d = -10 - (-6)

d = -10 + 6

d = -4

Hence: Tn = -6 + (n - 1)(-4)

There are 876 students in a school. There are 46 more boys than girls. How
many boys are there?

Answers

Answer:

(876 + 46) ÷ 2 = 461 boys

Answer:

876/2

=438

=438+46

=484 boys are there in a school.

n − 10 + 9n − 3 4) −4x − 10x

Answers

Answer:

9n−14x−44

Step-by-step explanation:

?????????!!??!?!?!?!?!?!?!​

Answers

I most positively sure is A( the 1st one)

Answer:

The correct answer is: The y-intercept is 4

Step-by-step explanation:

A. (correct) explanation-The y-intercept is the point where the line crosses the y-axis (vertical line). The y-intercept here is 4 because that is the point where the line crosses the y-axis

B: The x-intercept is 0 (wrong)

B is wrong because the x-intercept is the point where the line crosses the

x-axis (horizontal line)

C: (wrong) A savings account started with $8 in it

C is wrong because the initial amount is usually the y-intercept, but here the y-intercept is 4.

D: (wrong) It took 4 mins to run a mile

D is wrong because there should have been a point at the location (1,4) for this statement to be true, but there is no point there

What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?

5
7
45
63

Answers

Answer:

the answer is 7 hope this helps

Answer:7

Step-by-step explanation:

What number of grams is in 17 kilograms

Answers

Answer: 17000

Step-by-step explanation: Multiply the mass value by 1000

#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected. Let x represent the number of tickets sold at the door.

In terms of x. how many tickets were sold in advance?

Answers

Answer:

170 tickets were sold in advance

Step-by-step explanation:

Let x represent the = number of tickets sold at the door.

Let y represent the = number of tickets sold in advance

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected.

Hence, we have two equations

x + y = 400 tickets

$3 × x + $2 × y = $1,030

x + y = 400.... Equation 1

x = 400 - y

3x + 2y = 1030........ Equation 2

Substitute 400 - y for x in Equation 2

3(400 - y) + 2y = 1030

1200 - 3y + 2y = 1030

Collect like terms

-y = 1030 -1200

-y = -170

y = 170

Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.

if y=24 when x=6, find y when x=-4.

Answers

Answer:

[tex]\huge\boxed{y=-16}[/tex]

Step-by-step explanation:

We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.

In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.

[tex]\frac{x}{y}[/tex]

We know that in the first fraction, x=6 and y=24.

[tex]\frac{6}{24}[/tex]

And we know that x=-4 but we have an unknown y value.

[tex]\frac{-4}{y}[/tex]

We can now set these proportions equal to each other and solve for the missing y using cross products.

[tex]\frac{6}{24}=\frac{-4}{y}[/tex] [tex]y = (24 \cdot -4) \div 6[/tex] [tex]y = -96 \div 6[/tex] [tex]y = -16[/tex]

Hope this helped!

Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit​

Answers

Answer:

he will pay 55.16

A parking lot is 272.5 feet long and 151.25 feet wide. How much longer is the lot than it is wide?

_____ feet

Answers

Answer:

121.25 feet

Step-by-step explanation:

Answer:

121.25 feet because 272.5-151.25=121.25

Solve for u 20+17u= -6 + 15u simplify as much as possible.

Answers

subtract 15u from both sides
20+2u=-6
subtract 20 from both sides
2u=-26
u= -13

What it the solution to this equation?
2x+3=x-4

Answers

Answer:

x = -7

Step-by-step explanation:

Solve for x:

2 x + 3 = x - 4

Hint: | Move terms with x to the left-hand side.

Subtract x from both sides:

(2 x - x) + 3 = (x - x) - 4

Hint: | Combine like terms in 2 x - x.

2 x - x = x:

x + 3 = (x - x) - 4

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + 3 = -4

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

x + (3 - 3) = -3 - 4

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

x = -3 - 4

Hint: | Evaluate -3 - 4.

-3 - 4 = -7:

Answer: x = -7

Find the value of n.
3n + 12
n+ 14

Answers

Answer:

Is the question 3n+12 = n +14?

Step-by-step explanation:

If so the ANSWER  is  n=1

3n+12=n+14

3n-12=n+14

3n=n+2

-n   -n

2n=2

n=1

Gracy is selling picture frames and wants to compute the areas of each of the frames that she sells one of the frames measure 1/2 foot wide and 3.8 feet long.what is the area of this size of piture frame
The answer choice is
A 1.9 square feet
B 3.3 square feet
C 4.3 square feet
D 7.6 square feet
Plz help

Answers

Answer:a

Step-by-step explanation:

Answer:

a

cause that is the right answer had that quiz

Which of the following lines is parallel to the line 4x + y = 5?

Answers

Answer:

Step-by-step explanation:

Y=-4x

As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).

Answers

Answer:

A

Step-by-step explanation:

Got it right on edge2020

The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.

What is a function?

Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.

For example f(x)= sin x+ cos x

We have,

The Blood pressure of patient with the heart rate = 70 beats/ minute

And,

In next 10 minutes,

The maximum blood pressure i.e. (a + d) = 120 mm/Hg

The maximum blood pressure i.e. (-a + d) = 60 mm/Hg

So,

Sine function works on;

f(x) = a sin(bx + c) +d

So,

Now,

Adding Maximum and Minimum blood pressure,

i.e.

(a+d)+(-a+d) = 120 + 60

⇒a + d - a + d = 180

⇒ 2d = 180

d =90

So,

NOw, substituting this value in maximum blood pressure,

i.e. (a + d) = 120

a + 90 =120

a = 30

we have time period = 10 minutes,

So,

2Π/b = 10

⇒ b = Π/5

So,

Count is started at 0.

So, c = 0,

Putting the above value,

f(x) = a sin(bx + c) +d

⇒f(x) = 30 sin(Πx/5 + 0) +90

⇒f(x) = 30 sin(Πx/5) +90

Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.

Learn more about the modeling click here:

https://brainly.com/question/12070030

#SPJ2

.................. Simplify 9 + 7 + n.

Answers

Answer:

n+16

Step-by-step explanation:

9+7+n

Combine Like Terms

=9+7+n

=(n)+(9+7)

=n+16

Answer:

16+n

Step-by-step explanation:

9 + 7 +n

16 + n

Other Questions
1) you are building a model plane that needs small block inside to balance its weight. you find that the block material you are using has half the density you thought it did. you still need the same weight for the blocks in the plane, and they must have the same width and length. how you can keep the weight the same?2) your teachers set two cups on a bench at the front of the class. one contains water dyed blue and the other clear water. the teacher says one cup is very salty water and the other one is freshwater. how would you figure out which one is salty and which one is fresh. 3) In much of the world, SI units are used everyday life and not just in science. why would it make sense for people in the united states to use SI in everyday life, too? explain using math terms such as calculate and convert.HELP ME PLEASEE Let n be equal to 156% of 70. Which of the following proportions is true? What is Shakespeares epitaph? What are separate sections of a bill called? Which antonym helped you determine the meaning ofcallous?Tender ASAP MULTIPLE CHOICE WILL MARK BRAINLIESTWhich of the following absolute monarchs used his "westernization" plan to modernize Russia?Ivan the TerriblePeter the GreatCharles VLouis XIV WILL GIVE BRAINLIEST! How does Baron de Montesquieus concept of Separation of Powers, set forth in the US Constitution, attempt to effectively balance the power of government?How does the system of checks and balances seek to supportseparation of powers? A student measures the sides of a cube with a ruler and finds that the length of each side is 2.70 cm what is the volume of the cube in centimeter cubed Yolanda bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy? i need answers to b and c ASAP this i due tomorrow please label which is b and c What is 8785000000 in Scientific notation Precipitation that occurs in the low latitudes is also known as-Orographic precipitationConvectional precipitationWeathering precipitationFrontal precipitation what isotope has a mass number of 18 and an atomic number of 7 Find the median of the following data 2,8,7,8,6,15,6,8,3 Jose and Fernando are both working at the same company. Jose worked 42 hours last week while Fernando worked 38 hours during the same week. Jose makes $15/hour and Fernando makes $16/hour. Who made more money that week? 5.What is the link between resources and power? A woman enters a home because she wants to steal all of the jewelry. While on her way there, she changes her mind about stealing the jewelry, but it starts pouring, so she decides to go in and trespass into the house anyway until it stops raining (adapted from Jackson v. State).DID SHE COMMIT BURGLARY? Miss Warner says the best TV show is Avatar giving Counterpoint Cheetah mothers perform a number of different behaviors. They and their cubs stay in one place for only four days, moving on before they leave too strong a smell behind in one area. They also expend time and energy teaching their cubs to hunt successfully. In one or two sentences, explain how these behaviors affect cheetah reproductive success.(2 points) Hillary unraveled 3.0 centimeters of ribbon and then continued to unravel 1.5 more centimeters.Which horizontal NUMBER LINE could be used to SHOW the number of centimeters of ribbon Hillary unraveled?