If x varies directly as y,and x=18x=18when y=3.6,what is x when y=12

Answers

Answer 1

Answer:

x = 60

Step-by-step explanation:

Write an equation using the ratio between x and y:

18/3.6 = x/12 Multiply both sides by 12:

216/3.6 = x

60 = x


Related Questions

PLEASE HELP ITS MATH THANK YOUUUU

Answers

9 inches = 14 yard

Formula: divide the value in inches by 36 because 1 yard equals 36 inches. So, 9 inches = 936 = 14 or 0.25 yard.

Answer:

4 yards

Step-by-step explanation:

Use a ratio and then cross multiply

120 yd       x yd

---------  =  ---------

270 in         9 in

270x = 1080

x= 1080 / 270

x = 4 yd

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa take-home pay earned for the past month is Ghc4,265.46

From the question,

We are to determine the amount of take-home pay Adjoa earn the past month

From the given information, we have that

Adjoa’s gross salary for last month was Ghc4,687.24

Also

Ghc421.78 was deducted from Adjoa’s salary pay

To determine how much take-home pay Adjoa earn the past month,

We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month

That is,

Adjoa take-home pay = Ghc4,687.24 - Ghc421.78

Adjoa take-home pay = Ghc4,265.46

Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46

Learn more here: https://brainly.com/question/17336888

The midpoint of AB is M (4,2). If the coordinates of A are ( 6,-4) what are the coordinates of B?

Answers

Answer:

(2,8)

Step-by-step explanation:

m (4,2)

(6,-4)

(2,8)

What is the relationship for angle 1 and angle 8

Answers

Answer:

Step-by-step explanation:

In this cofiguration, there are 8 angles. 4 equal one value and 4 are their supplements of the first 4.

6 and 80 and 2 and 3 are all equal to 80 degrees.

1 4 5 and 8 are the supplements. So whatever their value, they are all equal to the same thing. <1 = <8

They are supplementary to the 80 degree angle

<1 + 80 = 180             Subtract 80 from both sides

<1 = 180 - 80

<1 = 100

So angle 1 and <8 both equal 100 degrees.

Answer:

Alternate exterior angles.

Step-by-step explanation:

Alternate exterior angles are angles on opposing sides of the transversal and the outside of the parallel lines. Moreover, they are congruent. Therefore, ∠1 ≅ ∠8.

I know how to do it just then one’s a bit confusing

Answers

Answer:

208 ft^3

Step-by-step explanation:

Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.

They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.

Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.

Answers

nothing yw listen to your teacher

What is the domain of y=log 4(x+3)?

Answers

All the real number less than -3. It the first one hope this help

Answer:

Y= log 4(x+3)

then you should do (x+3)= 3x= log 4.

Step-by-step explanation: Sorry I'm not 100 % sure so yeah

But let's see 3x  =  log 4

oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.

So now I think it's C). All real numbers are les than 3.

x / 2.5 = 10
plz helppp

Answers

Answer:

x=25

Step-by-step explanation:

You deposit $9000 in an account that pays 5% interest compounded quarterly.

A. Find the value of one year

B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)

Answers

Step-by-step explanation:

Given:

Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4

A. Find the value of one year

[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]

B.  Use the future value formula for simple interest to determine the effective annual yield

[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%

Answer:

A)  $9458.51

B)  5.09%  (2 d.p.)

Step-by-step explanation:

Part A

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 year

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]

[tex]\implies \sf A=9000(1.0125)^4[/tex]

[tex]\implies \sf A=9458.508032...[/tex]

Therefore, the value of the account after 1 year is $9458.51.

Part B

Simple Interest Formula

A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = $9458.51P = $9000t = 1 year

Substitute the given values into the formula and solve for r:

[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]

[tex]\implies \sf 9458.51=9000(1+r)[/tex]

[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]

[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]

[tex]\implies \sf r=0.050945...[/tex]

[tex]\implies \sf r=5.0945... \%[/tex]

Therefore, the effective annual yield is 5.09% (2 d.p.).

IF Tyler s currently 5 inches
tal, how many inches more
does he need to grow to be
feet tal?

Answers

Hey there! Your answer is:

7 inches

Explanation:

If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.

12 inches - 5 inches = 7 inches

Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.

I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add?
[tex]1.( \frac{0.8}{8 + x} )( \frac{5}{100} = 1 \\ 2. \frac{0.8}{8 + x} = \frac{5}{100} \\ 3. \frac{0.8}{8 + x} = \frac{100}{5} \\ 4. \frac{0.8}{8 + x} \div \frac{5}{100} = 1[/tex]

Answers

Answer:

2) 0.8/8+x=5/100

Step-by-step explanation:

Answer:

letter B is the correct answer!

if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still available to purchase

Answers

Answer:

25%

Step-by-step explanation:

Total purchase = 25%+50%

Total purchase = 75%

Percentage left = 100% - 75%

Percentage left = 25%

The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All angels are right angels.

A. how many feet does each inch represent? That is, what is the scale?

B. What are the length and width of the living room on the scale and drawing( in inches)?

C. What are the actual length and width of the living room( in feet)?

D. if the family wants to lay carpet in the living room and carpeting cost $1.25 per square foot, how much will carpet cost

Answers

Answer:

See below

Step-by-step explanation:

A)

According to dimensions of the garage, the scale is:

1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 in

B)

Living room

Dimensions on paper:

2 in x 1 1/4 in

C)

Actual dimensions:

2*20 ft = 40 ft and1 1/4 * 20 ft = 25 ft

D)

The area of the living room:

A = lw = 25*40 = 1000 ft²

Cost of carpet:

1000*$1.25 = $1250

Length

20(2)=40ft

Width

1.25(20)25ft

Area

25(40)1000ft²

Total cost

1000(1.25)$1250

What is the inverse of the function?
f(x) = 3^x + 1

f^-1(x)= log3 (x) +1
f^-1(x)= log3(x)-1

f^-1(x)=log3(x+1)

f^-1(x)=log3(x-1)

Answers

Answer:

f^-1(x)=logs3(x+1)

Step-by-step explanation:

Let y=f(x)

[tex]\\ \rm\Rrightarrow y=3^x+1[/tex]

Interchange

[tex]\\ \rm\Rrightarrow x=3^y+1[/tex]

[tex]\\ \rm\Rrightarrow lnx=ln(3^y+1)[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{ln(y-1)}{ln3}[/tex]

Again interchange

[tex]\\ \rm\Rrightarrow f^{-1}(x)=\dfrac{ln(x-1)}{ln3}[/tex]

what decimal is equivalent to 8 9/100

Answers

Answer:

8.09

Step-by-step explanation:

8.09 I think. I’m not positive but I think so.

NO LINKS!!!
Find the coordinates of point on the directed segment from (1,6) to (-2,-3) that divides it into a ratio of 5:1.
a. (-1.5,-1.5)
b. (1.5, 1.5)
c. (-1,-1)
d. (-2.5, -3.5)

Answers

Answer:

A. (-1.5, -1.5)

Step-by-step explanation:

Find the coordinates:

x = 1 + 5/6(- 2 - 1) = 1 - 5/2 = -1.5y = 6 + 5/6(-3 - 6) = 6 - 15/2 = -1.5

Correct choice is A

Estimate and solve 3,836 ÷ 63

Answers

Answer:

estimating it's 548/9

Step-by-step explanation:

HELP HELP

Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y

Answers

Answer:

m∠Y= 120

Step-by-step explanation:

Given,

FGHI≅WXYZ

m∠H=m∠Y [ Corresponding parts of congruent figures]

m∠Y= 120

Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.
She decides to keep two boxes for herself. She brings 60 cookies to the party. Write
an equation that can be used to find the number of boxes, x, Lauren bought.

Answers

Answer:

12x-2=60

Step-by-step explanation:

since there are 12 cookies per box, u could multiply it by x boxes, and since she kept 2 you would need to subtract it from your total.

Find the missing side

Answers

Answer:

A. 8

The missing side is 8

Help as soon as possible please if the answer is correct I’ll give brainliest

Answers

Answer:

The slope is 4, while the y intercept is 2

...starting with 2 cards and adding 4 cards each week

Step-by-step explanation:

The slope is always the coefficient (the number in front) of x.

The y intercept is the number on its own.

Hope this helps!

PLS HELP ILL GIVE BRANLIEST
What is the value of b in the equation (y^b)^4= 1/y^24?​

Answers

Answer:

b= -6

y^(b×4) = y^(-24)

b= -6

Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m​

Answers

Given :

Area of square equals to the area of rectangle of sides 4.9m and 1.6m .

To find :-

The side of the square .

Solution :-

As we know ,

Area = side² 4.9 * 1.6 = a²a = √ 49/10 * 16/10 a = 7/10 * 4/10 a = 28/100 a = 0.28 m

81 x

3y + 72x
2y
2 + 16xy
3

Answers

Answer:

Step 1 :Equation at the end of step 1

 ((81•(x4))-((72•(x2))•(y2)))+24y4

Step 2 :

Equation at the end of step 2 :

 ((81 • (x4)) -  ((23•32x2) • y2)) +  24y4

Step 3 :

Equation at the end of step 3 :

 (34x4 -  (23•32x2y2)) +  24y4

Step 4 :Trying to factor a multi variable polynomial

4.1    Factoring    81x4 - 72x2y2 + 16y4

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (9x2 - 4y2)•(9x2 - 4y2)

Detecting a perfect square :

4.2    81x4  -72x2y2  +16y4  is a perfect square

It factors into  (9x2-4y2)•(9x2-4y2)

which is another way of writing  (9x2-4y2)2

How to recognize a perfect square trinomial:  

• It has three terms  

• Two of its terms are perfect squares themselves  

• The remaining term is twice the product of the square roots of the other two terms

Trying to factor as a Difference of Squares:

4.3      Factoring:  9x2-4y2

Put the exponent aside, try to factor  9x2-4y2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  9  is the square of  3

Check : 4 is the square of 2

Check :  x2  is the square of  x1

Check :  y2  is the square of  y1

Factorization is :       (3x + 2y)  •  (3x - 2y)

Raise to the exponent which was put aside

Factorization becomes :   (3x + 2y)2   •  (3x - 2y)2  

Final result :

 (3x + 2y)2 • (3x - 2y)2

Step-by-step explanation:

Answer:

81x+16y

should be the correct one

I am using remainders

Answers

Answer:

Step-by-step explanation:

Is there an image or question?

an equation for the line, in point stope form, that passes through the following points (- 4, - 4); (4, 5)

Answers

Answer:

(8,9)

Step-by-step explanation:

-4+8=4

-4+9=5

that what i think

6 (31 + 163 72)6 +2=

Answers

31 + 16372 = 16403

6 x 16403 = 98418

98418 x 6 = 590508

590508 + 2 = 590510

An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.

Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.

Answers

Answer:

m=5+g-w

Step-by-step explanation:

This should be the answer based on the equation given.

Answer:

See below

Step-by-step explanation:

The equation for the amount of water is:

w = 5 + gm

Solve for m:

gm = w - 5m = (w - 5)/g

Now solve for g:

gm = w - 5g = (w - 5)/m

5m > 45 I need help

Answers

Answer:

m = 10

5 x 10 = 50

50 > 45

Step-by-step explanation:

How much is does 8×10 equal to?

Answers

8x10= 80

Have a great day! :)

Answer:

80

Step-by-step explanation:

8x10= 80

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