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.

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

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

Answer:

set up schools

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

what values of a are the following expressions true?

|a-5| =5-a

Try putting values of ( a )

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

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

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

Answer:

0

Step-by-step explanation:

when anything is multiplied by zero it equals 0

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.

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

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.

Answer:

y−5=2⋅(x−2)

Step-By-Step solution

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.

Answer:

the answer is 21 because 3x7 is 21

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 .

Answer:

A

Step-by-step explanation:

one circle for top of cylinder and one for the bottom

Answer:

y=3/4x-3

Step-by-step explanation:

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

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

Answer:

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

Step-by-step explanation:

correct me if im wrong i dont do this work yet

Answer:

i) True

ii) True

Step-by-step explanation:

Given :-

Point (-1, 2)

To Find :

Whether the point is a solution of :

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.

please mark me as brainlest

Answer:

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

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

Answer:

no solutions

Step-by-step explanation:

Solving

Step 1: Subtract 3 from both sides.

Step 2: Subtract 3 from both sides.

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

Answer:

first one;)

Step-by-step explanation:

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.

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

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:

Answer:

200 invests and 5% earned

Step-by-step explanation:

200 plus 5% is 210 dollars

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

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

Answer:

Its 3

Step-by-step explanation:

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