Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.

Answers

Answer 1

Answer:

when y=65, x=20

Step-by-step explanation:

We are given:

y varies directly as x

and y=26, when x=8

We need to find x, when y = 65

y varies directly as x can be written as:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality.

Finding k, when y=26 and x=8

[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]

We get the value of k = 3.25

Now, we need to find value of x, when y=65 and k=3.25

[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]

So, when y=65, x=20


Related Questions

is 19, and 40 a prime or composite number

Answers

Answer:

19 is a prime number. 40 is a composite number

Step-by-step explanation:

40 can be divided by number other than 1 and its self

19 can only be divided by 1 and itself

Answer:

19 is composition 40 is prime number

Fill in the blanks!!

(Will be given brainliest for the correct answers)

Answers

Answer:↓↓↓

Step-by-step explanation:

We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.

We know that side BC and side CB are congruent because of the Reflexive property.

Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.

Hope this helped!

Aisha wants to paint the four walls of her living room.
Each wall is 2.4 m high and 3.7 m long.
One wall has a door of 2 m by 0.7 m.
Tins of paint cost £12 per 1.5 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?

Answers

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?

Answers

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

What is the lcm of 6/8 and 4/32?

Answers

Answer:

Step-by-step explanation:

The LCM is 416. What is the least common multiple of 4 6 and 8? 4, 6 and 8 are small numbers and their LCM can be found out by writing their multiples:4: 4, 8, 12, 16, 20, 24, 28, 32,...6: 6, 12,...

ill give yall sloppy topy if yall answer ​

Answers

u gone give us whattt ??

Answer:

I'm good but your answer is B. or the Second option among your choice of answers

What is greater than 4.026

Answers

Answer/Step-by-step explanation:

The number 5 is greater than 4.026

Hope this helps!

Answer:

4.027

Step-by-step explanation:

Just add a number to the problem

Which equation shows the correct use of the Distributive Property?

Answers

Hi,

I cannot see the equations so...

Where are the equations?

happy new year. eeeeeeeee e ​

Answers

Answer:

yeah happy new year but your answer is D

Step-by-step explanation:

I'm good at math

Answer:

NEED HELP FAST PLEASEEE!!

Answers

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

PLEASE ANSWER< WILL GIVE BRAINLY TO BEST ANSWER!?

Answers

Answer: D is the correct answer.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side and answer D does exactly that because 2.6 + 8.1 =10.7 which is greater than the third side which would be 10.2.

Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
represented about x and the second number is represented about y. Write the equation that goes with
this description.

Answers

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

Answer:

Step-by-step explanation:

The sum of 2 numbers is 49

x  +  y = 49

The second number is 15 less than the first number.

y = x - 15

find the distance between (-4,0) and (8,-3)

Answers

Answer:

12.3693

Step-by-step explanation:

use distance formula

Mr Andy’s class needs $7,000 dollars to buy a graphing calculator. On Friday, they had saved $1,750. On Monday, the students brought in $380 more. How much more money does the class need to save to buy the calculator?

Answers

Answer:

$4870

Step-by-step explanation:

1,750+380=2130

7000-2130=4870

Hope this helps; have a great day :)

Answer:$4,870

Step-by-step explanation:

1,750+380=2130

7000-2130=4870

Write an algebraic expression or equation to represent each word phrase.
Five times the sum of a number n and eleven

Answers

Answer:

{ N+11 }x5

Step-by-step explanation: First you have to add <n> plus eleven. In order to get a sum, you must multiply by five.

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Answers

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

List two equivalent numbers to 0.50

Answers

1/2, 4/8. If in decimal form, you can also do 0.5 or 0.500

DETERMINE THE MISSING SIDE

Answers

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

plz help me with this

Answers

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

If the original quantity is 8 and the new quantity is ​,2 what is the percent​ decrease?

Answers

Answer: 75%

Step-by-step explanation:

75% of 8 is 6.

8 was decreased by 6 to get 2.

8 was decreased by 75% of its initial value to get 2.

Hope this helped!

Answer:

75%.

Step-by-step explanation:

8 - 100%

2 - x

[tex]\dfrac{8}{100 \%}=\dfrac{2}{x} \\\\x=\dfrac{2 \cdot 100 \%}{8} =25 \%[/tex]

100% - 25% = 75% - the percent decrease.

Solve: 68 – x = 14
( please i really need these super fast thank you! )

Answers

Answer:

x =54

Step-by-step explanation:

68 - x = 14

find the difference of 68 and 14 to get X

68 - 14 = 54

X=54

(Sorry if it is incorrect or doesn’t make sense!)

the answer is x=54 .

Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9

Answers

Answer:

your lucky you did have a online lessons earlll

Step-by-step explanation:

The following are the temperatures in °C for the first 14 days of January:

-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5

Answer:

x = -5   & x = -2

Step-by-step explanation:

x^2 + 7x +10 = 0  you takeaway 9 as quadratic equations have to equal 0

(x+5)(x+2) = 0    you find 2 numbers that go into 10 that add to make 7 and multiply to make 10

(x+5) = 0 so x =-5     &   (x+2) = 0 so x =-2


The changes in the depth of snow, in inches, at a ski resort for four days are shown below.
-1/8, 3/4, 3/4, -1/2

What is the average change in the depth of the snow during the 4-day period?
A. 2 1/8
B.3 1/2
C. 7/32
D. 17/32

Answers

Step-by-step explanation:

Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.

Average change = Total change / 4 days

= (7/8) / 4

= 7/32. (C)

I neeeeeed help please

Answers

Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct

Lydia made 3 pounds of trail mix. One portion of trail mix is 19 pound. How many portions of trail mix did Lydia make?

Answers

Answer:

I have the same question but no one will help me

Step-by-step explanation:

rectangle
rhombus
square
isosceles trapezoid

Answers

Answer:

Rhombus

Step-by-step explanation:

It does not have congruent diagonals

Simplify:
3x (x^2 + 5x – 4)

Answers

The answer is 3x^3+15x^2-12x.

What is the x intercept of the line below?

Answers

Answer:

i think it is -5

Step-by-step explanation:

-5

Answer:

there is no x-intercept

Explanation:

the line does not cross the x-axis at any point. hoped this helped.

A laundry basket has 24 t-shirts in it. Four are navy, twelve are red and the remaining are white. What is the probability of not selecting a red shirt? *

Answers

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Other Questions
which of these men is quoted in the "last words of great men"? A. Hitler B. Shakespeare C. King Henry VIII D. Socrates If you get it right i will give 100 points helppppp!need helpp Please answer quicklyGiven: sin(A) = 4/5, pi/2 < A < pi and sin(B) = -2root5/5, pi < B < 3pi/2 What is the value of cos(A B)? HELP ME THIS IS ON COMMON LIT The Myceneans people always have a surplus of food because of their efficient farming techniques. true or false If the process of meiosis shown to the right proceedsnormally, how manychromosomes will cells A, B, C, and D have?B Simplify:(-3x3)(-2x)A. -5x15B6x155x6x I need help ASAPBrian has 5 marbles, Sarah has 9 marbles, Jimi has 4 marbles, and Juan has 6 marbles. They want to redistribute the marbles so that each person has the same number of marbles. If the marbles are redistributed, then how many should each person get? Calculate the profit or loss in each case below:(a) Fixed costs: 9000 rent, 4000 insuranceVariable costs: 4500 wages, 500 delivery costs and 4000 in raw materialsSales revenue: 1,500 units expected to sell at 25 each(b) Fixed costs are 26,000 per year, and variable costs include wages at 10 per unit, raw materials at 12 per unit and delivery/packaging at 3 per unit. It is expected that a business will make and sell 750 units during the year, with a selling price of 26. List various ways through which AIDS spreads please its aurgent fast I ALREADY ASKED THIS QUESTION BUT SINCE NO ONE ACTUALLY HELPED ME IM ASKING AGAIN BC I REALLY NEEDA TURN IT IN SO PLEASEEE HELP!!A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work. Please also describe how actin-binding sites are made available for cross-bridging with myosin heads during contraction. What are the possible benefits of hybridization? What is the name of the compound NS2 use either box, foil, or distribution method in order to multiply and solve (4m-6)(8m-4) Which of the following statements is true?9.5 2.4817.18 > 17.211.5 = 11.05 Negative thoughts/feelings example of 12 hours and 50 minutes add 8 hours 46 minutes step by step yarr please urgent tommorow is my paper Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the grocery store. Joey spent a total of $5.75 on the fruit. Which number line best represents the number of bananas Joey purchased?F.G.H.J. Solve.3.5 x (5.8 - 7.09) =