Suppose c and d vary inversely, and d=2 when c=17.

a. Write an equation that models the variation.
b. Find d when c=68.

Answers

Answer 1

Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

a.

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

b.

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2


Related Questions

Use algebra tiles to find (6x² + 5x + 3) - (4x + 2).
.

Answers

Answer:

6x^2-4xdot+5x-2dot+3

Step-by-step explanation:

correct me if im wrong i dont do this work yet

Teresa invests $200.00. It earns 5% interest annually

Answers

Answer:

200 invests and 5% earned

Step-by-step explanation:

200 plus 5% is 210 dollars

5. 3x – 4y = 12 for y

Answers

Answer:

y=3/4x-3

Step-by-step explanation:

subtract 3x from both sides: -4y=-3x+12

divide by -4: y=3/4x-3

slove the equation r+ 3 = (r - 5)

explain step by step please

Answers

Answer:

no solutions

Step-by-step explanation:

Solving

Step 1: Subtract 3 from both sides.

[tex]r+3-r=r-5-r[/tex] [tex]3=-5[/tex]

Step 2: Subtract 3 from both sides.

[tex]3-3=-5-3[/tex] [tex]0\neq -8[/tex]

Therefore, there are no solutions to this equation.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

No solution l

Solving steps:

=> R + 3= (r - 5)

=> [tex]r - r + 3 = r - r - 5[/tex]

=> [tex]3 = - 5[/tex]

Step 1: substract 3 from both side

=> [tex]3 - 3 = - 5 - 3[/tex]

Step 2: Subtract 3 - 3 and -5 - 3

=> 0 = - 8

Therefore this solution that have no solution Good luck and enjoy ^_^

Mr. Andrew bought 15 boxes of crayons at the store to share with his students. Each box contains 64 crayons. Write an equation that represents ​c​, the total number of crayons that Mr. Andrew bought. Use your equation to solve for the total number of crayons.

Answers

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

A store sells paint sets each paint set costs the same amount during a sale the store reduces the price of each paint set by $1.35 Jenny sends $6.88 on 2 paint sets at the sale price. What was the price of 1 paint set before the sale?

Answers

Answer:

$4.79

Step-by-step explanation:

divide $6.88/2

add $1.35 that's it

Money reduction on a paint set during a sale = $1.35

Cost of two paint sets Jenny bought in a sale = $6.88

Given :-

Cost of every paint set is equivalent .

Then :-

Cost of each paint set during the sale :-

[tex] = \frac{6.88}{2} [/tex]

[tex] = $3.44[/tex]

The cost of each painting set during the sale was $3.44 .

Cost of each paint set before the sale :-

[tex] = 3.44 + 1.35[/tex]

[tex] =$4.79[/tex]

Therefore , the cost of each paint set before the sale was = $4.79 .

Can some one help me

Answers

Answer:

the answer is 21 because 3x7 is 21

PLEASE HELP ILL GIVE BRAINLIEST AND THANKS
SOLVE THE SIMULTANEOUS EQUATION
3y=6x+3 and 3y=4x+6

Answers

Answer:

x=3/2, y=4

Step-by-step explanation:

3y=6x+3

solve by substitution for 3y=6x+3

3y=4x+6

6x+3=4x+6

6x-4x=6-3

2x=3

x=3/2

3y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1

y=2x+1 ( substitute x=3/2)

y=2(3/2)+1

y=3+1

y=4

For what values of a are the following expressions true?

| a-5 | = 5-a

Answers

Question:-

what values of a are the following expressions true?

Expression :-

|a-5| =5-a

Answer:-

Try putting values of ( a )

Greater than 5 Less than 5 Equal to 5

First attempt :- Greater than 5

picking random number :-

Putting a = 6 :-

[tex] |a-5| =5-a \\ |6-5| =5-6 \\ | 1| = -1 \\ 1 \cancel = ( - 1) [/tex]

so a is not equal to 6

Putting a = 8

[tex]|a-5| =5-a \\ |8 - 5| =5-8 \\ |3| = - 3 \\ 3 \cancel = - 3[/tex]

a is also not equal to 8

so above values we can find a common result that a not equal to value bigger than 5

Second attempt :- Less than 5

picking random number

Putting a equal to 1

[tex]|a-5| =5-a \\|1-5| =5-1 \\ | - 4| =4 \\ 4 = 4[/tex]

a can be equal to 1

Putting a equal to -3

[tex]|a-5| =5-a \\| - 3-5| =5-( - 3) \\ | - 8| = 8\\ 8 = 8[/tex]

a can be equal to -3

So we can have a common result that a can be equal to values less than 5

Third attempt :- a equal to 5

putting a equal to 5

[tex]|a-5| =5-a \\ |5 - 5| =5-5 \\ |0| =0 \\ 0 = 0[/tex]

So we can say a can be equal to 5

Result :- (a) can be equal to or less than 5

A company bought 28 desks for each
of its 17 offices. How many desks were
bought altogether?

Answers

Answer:

476

Step-by-step explanation:

THAT SHOULD BE 28*17 Wich is 476

Answer:

28 x 17 = 476

Step-by-step explanation:

It's saying it buys 28 desks for each office. Since there's 17 offices you have to add 28 17 times, so basically you multiply 28 by 17 and you get 476 which is the total number of desks bought.

ANSWER : 476 Desks

Please match the fractions! pls pls pls Will mark BRAINALEST!

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}[/tex]

[tex]\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}[/tex]

[tex]\frac{2}{3} +\frac{1}{3} = 1[/tex]

[tex]\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}[/tex]

Answer:

1/12 + 16 = 1/4

1/4 - 1/8 = 1/8

2/3 + 1/3 = 1

1/2 - 1/6 = 1/3

Step-by-step explanation:

1/12 + 1/6

LCM of denominators 12 and 6 = 12

1/6

Multiply 2 to both numerator and denominator,

1/6 * 2/2

= ( 1*2 )/( 6*2 )

= 2/12

1/12 + 1/6

= 1/12 + 2/12

= ( 1 + 2 )/12

= 3/12

12 = 3*4

3/12

= 3/( 3*4 )

= 1/4

1/4 - 1/8

LCM of denominators 4 and 8 = 8

1/4

Multiply 2 to both numerator and denominator,

1/4 * 2/2

= ( 1*2 )/( 4*2 )

= 2/8

1/4 - 1/8

= 2/8 - 1/8

= ( 2 - 1 )/8

= 1/8

2/3 + 1/3

= ( 2 + 1 )/3

= 3/3

= 1

1/2 - 1/6

LCM of denominators 2 and 6 = 6

1/2

Multiply 3 to both numerator and denominator,

1/2 * 3/3

= ( 1*3 )/( 2*3 )

= 3/6

1/2 - 1/6

= 3/6 - 1/6

= ( 3 - 1 )/6

= 2/6

6 = 2*3

2/6

= 2/( 2*3 )

= 1/3

5. Ms. Martinville wants to order new Sharpies for
the classroom. At Walmart she can buy a package
of 16 Sharpies for $12.49 and on Amazon she can
buy a package of 24 Sharpies for $22.18. Where
should Ms. Martinville purchase her Sharpies in
order to get the best deal?

Answers

basically it’s 12.49 because i said so and this is incorrect

Answer number 4 please

Answers

Answer:

A

Step-by-step explanation:

one circle for top of cylinder and one for the bottom

Pls help i need it!!!

Answers

Answer:

set up schools

Step-by-step explanation:

The set up schools is the answer

How do you solve this?

x + 9 = 12
please I'm begging yall

Answers

Answer:

x = 3

Step-by-step explanation:

x  + 9 = 12

To solve the equation, we have to isolate 'x'.

To isolate x,  subtract 9 from both sides.

x + 9 - 9 = 12 - 9

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.

x+9=12

First, subtract by 9 from both sides.

[tex]\sf{x+9-9=12-9}[/tex]

Solve.

[tex]\sf{12-9=3}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Therefore, the final answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Counting Cookies: Hannah baked 120 peanut butter chocolate chip cookies. She
wants to put the same number of cookies in each bag. Can she put the following
numbers in each bag: 10,5,9,3, 20, 7. Explain your answer for each number.*

Answers

Answer:

10:12, 5:24, 9:13+1/3, 3:40, 20:6, 7:17+1/7

Step-by-step explanation:

You simply divide 120 by each of the numbers.

120/10=12, 120/5=24, 120/9=40/3, 120/3=40, 120/20=6, 120/7=12+1/7

Help me pls
What is the students error?

Answers

Answer:

first one;)

Step-by-step explanation:

can someone answer this? thanks

Answers

i think the answer is B
It’s D. None of the above

Does the point (-1, 2) make the following equations true? i) y = -2x ii) y = x + 3

Answers

Answer:

i) True

ii) True

Step-by-step explanation:

Given :-

Point (-1, 2)

To Find :

Whether the point is a solution of :

y = -2xy = x + 3

Solving :-

Substitute the value of the point in each of the equations.

=> y = -2x

=> 2 = -2(-1)

=> 2 = 2 [∴ The point makes it true]

=> y = x + 3

=> 2 = -1 + 3

=> 2 =  2 [∴ The point makes it true]

Answer:

true

Step-by-step explanation:

first, you take the y = -2x and plug that into y = x + 3. so your equation should be -2x = x + 3. you then solve for x which comes out to be -1. you then plug the -1 into y = -2x. your equation should be y = -2(-1). solve for y which equals 2. the point that you got from both equations matches the point from the equation given so it is true.

I missed a whole lesson plz explain

Answers

The answer will be B. (-2.5, -1)

Answer:

it would be c or b cause thats the only thing that would make scince

Step-by-step explanation:

1x7x8x4x5x3x4x6x9x8x2x12x4x8x69x6x8x9x5x3xx6x7x4x3x87x0

Answers

Answer:

0

Step-by-step explanation:

when anything is multiplied by zero it equals 0

2) Albert has a $16,000, six-year loan with an APR of 7.25%.
a. What is the monthly payment?
b. What is the total amount of the monthly payments?
c. What is the finance charge?

Answers

For a standard,  year $16000 home/car loan 7.25% APR with payments due at the end of the month, calculate the monthly payment:

Calculate Months:

Your loan term is for years.

Months = 12 * Years

Months = 12 *

Months = 0

Now calculate monthly Annual Percentage Rate (APR):

APR  =   Annual APR

  12

APR  =   7.25

  12

 APR  =  0.0060416666666667 <----- This is the effective interest each month.

Now calculate Annual Percentage Yield (APY):

APY = ((1+APR)12 - 1) * 100%

APY = ((1 + 0.0060416666666667)12 - 1) * 100%

APY = ((1.0060416666667)12 - 1) * 100%

APY = (1.0749582974213 - 1) * 100%

APY = 0.074958297421329 * 100%

APY = 7.5% <----- What you actually pay in interest with monthly compounding.

Calculate our monthly loan payment:

Monthly Payment  =   Loan Amt * APR

  1 - (1/(1 + APR))n

Monthly Payment  =   16000 * 0.0060416666666667

  (1 - (1 /(1 + 0.0060416666666667))0

Monthly Payment  =   96.666666666667

  (1 - (1 / 1.0060416666667)0

Monthly Payment  =   96.666666666667

  1 - 0.99399461586250

Monthly Payment  =   96.666666666667

  1 - 1

Monthly Payment  =   96.666666666667

  0

Monthly Payment = 0

Now calculate the total number of payments you will make:

Total Payments = Monthly Payment * Months in the Loan

Total Payments = 0 * 0

Total Payments = $0.00

You will end up paying $0.00 - $16,000.00 = $-16,000.00 above the principal on this loan.

The ratio of the width to the length of a rectangle is 3 to 5.
The perimeter of the rectangle is 64 cm.
What are the width and length of the rectangle?

Answers

Step-by-step explanation:

let width= 3x and length = 5x

perimeter = 64cm

now perimeter = 2(length+width)

64= 2(3x+5x)

64 = 16x

x = 4

therefore width= 3 X 4 = 12

length = 5 X 4 = 20


Order the sides of each triangle from shortest to longest

Answers

9514 1404 393

Answer:

  9) AB, AC, BC   or   c, b, a

  10) EG, (EF, FG)   or   f, (e, g)

Step-by-step explanation:

Sides are in the same order as their opposite angles. Generally the angle has an upper-case letter for its name, and the opposite side has the same lower-case letter for its name.

__

9) angle C is 32°, opposite side c, which is also labeled AB

  angle B is 68°, opposite side b, which is also labeled AC

  angle A is 80°, opposite side a, which is also labeled BC

Shortest to longest, the sides are c, b, a.

__

10) angle F is 50°, opposite side f, which is also labeled EG

The remaining two angles are both 65°, so have no smallest/largest order. Likewise their opposite sides are the same length, so have no shortest/longest order.

  angles E and G are opposite sides e and g, also labeled FG and EF, which are the same length

The shortest side is f; sides e and g are longer and are the same length.

PLEASE HELP WITH GEOMETRY HW

Answers

Answer:

m<92⁰

Step-by-step explanation:

m<16 = 55⁰

m<20 = 55

55 + 33 =88

the sum of the inside of a triangle is 180⁰ so

180 - 88 =92

lian has three lines on the board. lines m and n are parallel. lian says that the measure of <2 is 2/3 of the measure <1. What is the measure of <2?​

Answers

Answer:

Its 3

Step-by-step explanation:

18 less than the product of 5 and a number

Answers

Answer:

5x-18

Step-by-step explanation:

18 less than the product of 5 and a number.

The product of 5 and a number is equal to 5x.

You then subtract 18 from the product and you get 5x-18

Answer:

5x-18

Step-by-step explanation:

The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation to find out how long it took for the mechanic to repair the car?​

Answers

Answer:

2.25 hours

Step-by-step explanation:

Hope this helps! sorry was a tad bit late

It took 2 hours and 15 minutes to repair the car.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Total bill for the repair of car = $357

Let's say it took x hour to repair the car

So,

32x will be the labor cost

Now,

Labor cost + cost of parts = total bill

So,

32x + 285 = 357

32x = 72 ⇒ x = 2.25 hour

Now,

0.25 hour in minutes ⇒ 0.25 × 60 = 15 minutes.

Hence "It took 2 hours and 15 minutes to repair the car".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

The second class railway fare for 240 Km of journey is Rs. 15. What would be the fare for a journey of 139.2 Km? pls answer my question..i will mark brainliest..​

Answers

please mark me as brainlest

what is the point slope form of (2,5) , (4,9)​

Answers

Answer:

y−5=2⋅(x−2)

Step-By-Step solution

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