The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.



y=20; x=12


k=
y=

Answers

Answer 1

Answer:

y=(5/3)x

Step-by-step explanation:

Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x


Related Questions

find the mean of the first six multiples of 4

Answers

Answer: 14.

Step-by-step explanation:

solving 2 step inequalities give three solutions for each inequality -3(1-z)<9

Answers

Answer:

-3, -2 and -1

Step-by-step explanation:

Given the inequality -3(1-z)<9

Expand

-3(1)-3z <9

-3-3z <9

Add 3 to both sides

-3-3z+3<9+3

-3z<12

Divide both sides by -3

-3z/-3 >12/-3

z > -4

The required solutions are values greater than -4 and they are -3, -2 and -1

The graph shows a proportional relationship between the number of workers and weekly cost, in dollars, for a company in its first year. The following year, the company spends $7,200 per 12 employees. Did the rate increase or decrease the following year?​

Answers

Answer:

increase

Step-by-step explanation:

each person gets 600 out of 7200 for 12 employis

Find the inequality represented by the graph.

Answers

Answer:

y > 4x - 2

Step-by-step explanation:

y-intercept is at -2

slope is rise by 4, run by 1

if you don't know where to shade, select a point and plug it in to see if T or F

example (0, 0)

is 0 > 4(0) - 2

is 0 > -2  True, so shade to the left because this is where (0,0) is

Answer:

Step-by-step explanation:

Analyze what each part of the inequality means mathematically.x is the solution of the problem, the quantity you are looking for.6x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 6.− 18 means that, for a reason given in the problem, 18 is subtracted from 6x.≤ 18 means that after multiplying the solution x by 6 and subtracting 18 from it, the result is at most 18.Think of some different situations in which a quantity x might be multiplied by 6.You plant 6 seeds from x different seed packets, and you want to know from how many different seed packets you plants seeds.Build on the situation and adjust it to create a verbal description that takes all of the information of the inequality into account.Elrich planted 6 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 18 plants that were already in the garden. Including the plants he removed and the seeds he planted, he expected to have at most 18 plants in the garden. From how many different seed packets did Elrich recently plant seeds?


What is the value of E(-1) n (3n+2)?

Answers

Answer:  C) 6

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

[tex]\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6[/tex]

which angle is the smallest angle

Answers

Answer:

angle c

Step-by-step explanation:

Answer:

should be angle c if im correct

What is the GCF for the terms in the following expression?
[tex]15x + 30y - 10[/tex]

What is the factored expression?

hint: it will look something like this
[tex]4 (2x + 4y - 6)[/tex] this is not the answer!

Answers

Answer:

5 (3x + 6y - 2)

Step-by-step explanation:

GCF is 5. Sorry late response

64 + (5 ÷ 3) - 2^3
help me plz

Answers

Answer:

57.67

Step-by-step explanation:

64+1.67-8

65.67-8

57.67

Myra’s flower bed has three types of flowers. There are 7 lilies, 5 tulips, and 6 zinnias. What does the ratio 5 : 13 represent in this situation? Use a model to show your work. Explain your reasoning.

Answers

Answer:

m

Step-by-step explanation:

The ratio 5 : 13 in this situation represents number of Lilies to the number of tulips and zinnias in Myra's flower bed.


What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that Myra’s flower bed has three types of flowers. There are 7 lilies, 5 tulips, and 6 zinnias. Therefore, the ratio of number of Lilies to the number of tulips and zinnias are,
Ratio = Number of Lilies : Number of tulips and zinnias
Ratio = 5 : (7+6)

Ratio = 5 : 13

Hence, the ratio 5 : 13 in this situation represents number of Lilies to the number of tulips and zinnias.

Learn more about Ratios here:

https://brainly.com/question/1504221


#SPJ2

A pair of shoes at a store costs $7.50. The total cost, in dollars is given by the function C(s) = 7.5s.

What is the cost of 4 pairs of shoes?

A
$35

B
$30

C
$25

D
$50

Answers

the answer is B 30


:)
B is the correct answer

Write an equation to represent the measures of the angle

Answers

Angles on a straight line=180°
139°+x=180°
Subtract 139° from both sides
X=180°-139°
X=41°

What is (10/8)X2+8X9X3?

Answers

Answer:

437/2

Step-by-step explanation:

Answer:

Simplify the expression.

Exact Form:

437 /2

Decimal Form:

218.5

Mixed Number Form:

218  and 1 /2

Step-by-step explanation:

Have a nice day! I hope this helps!

Use this list of numbers to answer the following questions:
0,4, -2, 2/3, -1.8, 16, 3.2,-5/4

1. Which numbers are rational numbers that are not integers?

2. Of the remaining numbers, which are integers but not whole numbers?

3. Of the remaining numbers, which are whole numbers?

Answers

1.

ans= -1.8 and 3.2,

2.

ans= -5/4 and 2/3

3.

ans= 0,4 and 16

Hope it helps.

Answer:

1.  2/3 ,-5/4 , -1.8 , 3.2

2. -2  and 0

3. 4 and 16

Step-by-step explanation:

1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.

In this case : 2/3 ,-5/4 , -1.8 , 3.2

2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.

In this case : -2 , 0

3. Whole numbers remaining are ;

   4  and 16

Please hurry it’s missing

Answers

The answer is 1 7/26

Answer:

the answer is  1 28/104 or one whole and 28 over 104 :p

                 

find the exact value of tan30⁰ × cos30⁰
give your answer in its simplest form​

Answers

ANSWER:

tan(30⁰)=√3/3

cos(30⁰)=√3/2

switch sides:

sin(x) /√3/2 =√3/3

multiply both sides by 3:

3·sin(x) /√3/2 =3·√3/3

simplify:

2√3 sin (x) =√3

divide both sides by 2√3:

2√3 sin (x) / 2√3 = √3 / 2√3

simplify:

sin (x)= 1/2

Andrew borrowed $700 from the bank to start a pressure washing business. The bank charged a simple interest rate of 7% per year. If it takes Andrew 3 years to pay back the loan, how much interest will he pay?

Answers

Answer:

$147

Step-by-step explanation:

Given:

Loan amount = $700Interest rate = 7% simpleTime = 3 years

Interest amount:

$700*3*0.07 = $147

Answer:

Simple interest=(Principal×Rate×Time)/100

Principal=$700, Rate=7%, & Time=3 years

→S.I. = (700×7×3)/100 = 147

Andrew has to pay a interest of $147.

SIMPLIFY -3/4( 8/9Y - 18) - 3/5(5/6Y + 25)?

Answers

Answer:

I believe the answer is

-7y+9/6

Answer:

-7/6 y -3/2

Step-by-step explanation:

The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7. Which pair of equations has (0, 8) as its solution? (4 points) Equation A and Equation C Equation B and Equation C Equation C and Equation D Equation B and Equation D

Answers

Answer:

d is 6,6 and 4,is -94 and plus 8

Step-by-step explanation:

please help i need help

Answers

Answer:

all i think

Step-by-step explanation:

because you just do the math 3 times 3 five times and do the same with the next

Ricky’s work. 5^3 is not the same as 3^5 or 5x3. Let me know if you need more of an explanation.

NOTE: Angles not necessarily drawn to size . what is x?

Answers

Answer: 45

Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.

Answer:

X=45

Step-by-step explanation:

Method 1 ( the long one)

So AED and CEB are vertical angles, that means that the are the same and have the same value.

So 115 plus x equal 160.

                            115 + x = 160

from there we just have to subtract 115 from both sides to get x by itself.

                            115 + x = 160

                           -115         -115

                       _________________

                                   x=45

Method 2 (short one

If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.

how to solve the volume formula for cylinders using pi​

Answers

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . i think the answer is this

Please help me I don’t get it

Answers

Answer:

x=8°

Step-by-step explanation:

If two sides are equal than there angles are also equal.

2x+40+5x+22+5x+22=180

12x+84=180

12x=180-84

12x=96

x=96/12

x=8°

NEED FAST HURRY

A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each type of candy the store sells

Caramels: $9.28
Milk Chocolate: $12.80

How much more is the cost for 1 3/4 pounds of milk chocolate than the cost for 1 3/4 pounds of caramels?

Answers

Answer:

$6.16

Step-by-step explanation:

Answer:

Caramels=$16.24

Milk chocolate=$22.40

All together= $29.04

Step-by-step explanation:

2x + 5y = -6
y-intercept: ( , )
x-intercept: ( , )

Answers

The answer is
Y(-3,0)
X(0,-6/5)

$7.00 × 20 = $140 in 40 hours
any helps !

Answers

Answer:

$280 in 40 hours!

(Just multiply)

Answer:

This is correct

Step-by-step explanation:

7.00 multiplied by 2 on both sides will give you an equivalent answer which is 140 and 40 hours. good job!

A principal of 2200 is invested at 9% interest, compounded annually. How much will the investment be worth after 6 years?

Answers

Answer:

it would be worth 3388

Step-by-step explanation:

9% of 2200 is 198

198×6=1188

1188+2200=3388

5 2/3 divided by 3/2
Please help

Answers

Answer:

I think is 3 7/9

Step-by-step explanation:

hope it helps

Answer:

fraction form: 34/9

decimal form: 3.7 (repeating)

mixed number form: 3 7/9

hope it was helpful! ^^

It cost $660 to put on the school play. How many tickets must be sold at $6 a piece in order to make a profit?

Answers

Answer:

the answer is 110

Step-by-step explanation:

660÷6=110.

??????????????? Sorry I really need points

What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x

Answers

Answer:

C

Step-by-step explanation:

They all share a common variable so you can add them all together to get the simpliest form.

Translate (4,3) to the left 3 units. Then reflect the result over the y-axis. What are the coordinates of the final point?

Answers

Translation left 3 units: subtract 3 from the original x coordinate --> 4-3=1
Reflection across y-axis: change the sign of the x coordinate --> 1 => -1
Final answer: (-1, 3)
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