Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24.

Answers

Answer 1

Answer:

B = 4

Step-by-step explanation:

Given that B is directly proportional to A then the equation relating them is

B = kA ← k is the constant of proportionality

To find k use the condition B = 3 when A = 18 , then

3 = 18k ( divide both sides by 18 )

k = [tex]\frac{3}{18}[/tex] = [tex]\frac{1}{6}[/tex]

B = [tex]\frac{1}{6}[/tex] A ← equation of proportion

When A = 24, then

B = [tex]\frac{1}{6}[/tex] × 24 = 4


Related Questions

Solve the equation
(If possible please show work)

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2(-x-4)+3=-7-4x[/tex]

First, distribute the left side:

[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]

Add values on the left side:

[tex]2x+11=-7-4x[/tex]

Add 7 to both sides. The right side cancels:

[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]

Divide both sides by -6:

[tex](-6x)/-6=18/-6\\x=-3[/tex]

Therefore, x equals -3.

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]

[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]

[tex]2x + 8 + 3 = - 7 - 4x[/tex]

[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]

MARNIE OUT!

:)

For g(x)= (x+7)^2 + 6x determine the input of x when the output of g(x) =13

Answers

Answer:

x = -2 or -18.

Step-by-step explanation:

(x+7)^2 + 6x = 13

x^2 + 14x + 49 + 6x - 13 = 0

x^2 + 20x + 36 = 0

(x + 2)(x + 18) = 0

x = -2, -18.

Find the number of positive divisors of 1470.

Answers

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

Answer: plz mark as brainliest

Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:

1470 / Divisor = Quotient

To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:

1470 / 1 = 1470

1470 / 2 = 735

1470 / 3 = 490

1470 / 4 = 367.5

etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.

The Divisors of 1470 are as follows:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.

how do you calculate the area of this square which has two semicircles in it?

please help​

Answers

The area of the square is 100 square units because 10×10=100

The radius of a circle is half the length of the square. The radius is 5.

The 2 semi-circles added together actually equals a circle.

The area of a circle is π[tex]r^{2}[/tex].

5=r.

So [tex]5^{2}[/tex] equals 25.

The circle is 25π

So just subtract.

The area of the square with two semi-circles in it is (100 - 25π)

♡ Hope this helps! ♡

❀ 0ranges ❀

Which expression is equivalent to 3(3x + 8) ? A B С C D 9x = 21​

Answers

Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4

Answers

Answer: The third option is true, -8<-4

Step-by-step explanation:

Negative four is greater than negative eight because it is closer to zero on the number line

What is the approximate value of tan C?

Please help! Urgent!

Answers

Hey there! I'm happy to help!

Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.

If we look across from angle C, we see that the opposite side is 5.

The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.

So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.

Have a wonderful day! :D

Answer:

0.38

Step-by-step explanation:

took a p e x test

Jordan's football team gained 12 yards on their first play. On the second play, the team
lost 8 yards. Which expression could be used to describe the total yards gained by
Jordan's team?

Answers

Answer:

4 yards

Step-by-step explanation:

they gained 12 yards and then lost 8

that can be expressed as 12-8=4

Answer:

12+(−8)

Step-by-step explanation:

1. Solve for x, 5 (2x + 3) + 3 (x - 4) = 25 And one more question 2. The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

Answers

Answer:

Step-by-step explanation:

1) 5(2x + 3) + 3(x -4) = 25

Use distributive property

5*2x + 5 *3 + 3*x - 3*4 = 25

10x + 15 + 3x - 12 = 25

Add like terms

10x + 3x +15 - 12 = 25

13x + 3 = 25

Subtract 3 form both sides

13x = 25 - 3

13x = 22

x = 22/13

x = [tex]1\frac{9}{13}[/tex]

2) Breadth = b m

Length = 5b - 4

Perimeter of rectangle = 40 m

2*(length + breadth) = 40    { Plug in the values of breadth & length}

2* (5b - 4 + b) = 40

2 * ( 6b - 4 ) = 40  

2*6b - 2 *4 = 40

12b - 8 = 40  { add 8 to both sides}

12b - 8 + 8 = 40 + 8

   12b = 48  { divide both sides by 12}

  12b/12 = 48/12

b = 4 m

Breadth = 4m

Length = 5*4 - 4 = 20 - 4 = 16 m        

Answer:

16cm

Step-by-step explanation:

5(2x+3) + 3 (x-4)= 25

10x+15+3x-12=25

(combine the like terms)

13x+3=25

13x= 22

x= 1 and 9/13

perimeter= 40m

length=5a-4

breadth=a

5a-4+a+5a-4+a= 40

12a-4-4 = 40

12a-8=40

12a= 48 a= 4cm

the breadth is 4cm, the length is 5×a-4= 20-4 =16cm

your welcome!

At 12:00 P.M., the water pressure on a submarine is 435 pounds per square inch. Ffom
12:00 P.M. to 12:30 P.M., the water pressure increases 58 pounds per square inch.
From 12:30 P.M. to 1:00 P.M., the water pressure decreases 116 pounds per square
inch. What is the water pressure at 1:00 P.M.?
0 261 pounds per square inch
493 pounds per square inch
O -58 pounds per square inch
O 609 pounds per square inch
O

Answers

Answer:

[tex]\Large \boxed{ \mathrm{377 \ pounds \ per \ square \ inch} }[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds per square inch.

From 12:00 PM to 1:00 PM, the initial pressure increases by 58 pounds per square inch and then decreases 116 pounds per square inch.

⇒   435 + 58 - 116

⇒   377

Answer:

[tex]\huge\boxed{377 \ pounds / in.^2}[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds / in.²

After that it increases by 58 pounds / in.²

So, it became

=> 435 + 58

=> 493 pounds / in.²

Then, it decreases by 116 pounds/square inch

=> 493 - 116

=> 377 pound / in.²

This is the final pressure.

If he pays $16.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine

Answers

Answer:

About $1.40 per each monthly magazine.

Step-by-step explanation:

16.80 / 12 = 1.4

Mrs. Haddox is mailing a package that weighs 18.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? 1 pound (lbs) = 16 ounces (oz) I GIVE BRAINLIEST PLZ

Answers

Answer:

296 ounces

Step-by-step explanation:

I used the formula "Multiply the mass value by 16"

Hope this helps:)

Answer:

296 is the total ounces it weighs

Step-by-step explanation:

lf x+1/x=12 then find the value of x3+1/x3​

Answers

Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332

Given g(x)=9x^2-5 and k(x) =3x-1, find g(x) + k(x)

A. 2x^2 +3x - 6
B. x^4 + 3x^3 - 6x^2 - 15x + 15
C. 3x - 6
D. 5x^2 - 6

Answers

I hope this helps you

Question wants sum of two functions

g(x) +k(x)

9x^2-5+3x-1

9x^2+3x-6

3(3x^2+x-2)

3(3x-2)(x+1)


Which step can you use to solve the equation 6z=48

Answers

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

1. Observa la imagen. Luego, responde las preguntas
.
a. ¿Qué molécula representa?​

Answers

Can you put the image ?

5 3/4 divided by 1 and 1/2 ​

Answers

Answer:

0.25

Step-by-step explanation:

(3/4/1)-1/2

0.75-0.5=0.25

Answer:

5 3/4 divided by 1 1/2 is 3 5/6

Step-by-step explanation:

Viola makes gift baskets for Valentine's Day. She plans to make 12 baskets each day. If there are 7 working days until the day she begins to sell the baskets, how many baskets will she have to sell?

Answers

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12

PLEASE ANYONE HEEELLLLPP.......I NEED HELP I DONT UNDERSTAND!!!

Answers

Answer:

[tex]\large \boxed{\mathrm{Option \ 4}}[/tex]

Step-by-step explanation:

The area has to be found for the floor.

The whole rectangle = length × width = x × (x-4), has an area of x(x-4).

The area x(x-4) has to be subtracted from the area of the stage and closet.

Area of stage = area of triangle : base × height × 1/2

(x-4) × 8 × 1/2

(0.5) × (8) × (x-4)

Area of closet = area of rectangle : length × width

(3) × (7)

The area of the floor = x(x-4) - 0.5(8)(x-4) - 3(7)

Answer:

i don’t understand it either

Step-by-step explanation:

What is the algebraic expression for the following word phrase: the sum of 7w and 5?
A. StartFraction 7 w over 5 EndFraction
B. 12w
C. 7 w minus 5
D. 7w + 5

Answers

Answer:

7w+5

Step-by-step explanation:

7w, and then the sum indicates an addition sign, so it becomes 7w+5

Answer:

7w+5

Step-by-step explanation:

sum means add

7w+5

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people attended one day how many would be children

Answers

999

why becuase thats the answer mine had

PLEASEEEEEE Which system of equations does not have a real solution? y = x 2 + 3 x - 5 and 4 x + 5y = 20 y = x 2 + 3 x - 5 and x + y = -10 y = x 2+ 3 x- 5 and x + y = -9

Answers

Answer:

[tex]\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}[/tex]

Step-by-step explanation:

y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.

When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.

Answer:

Step-by-step explanation:

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.

Answers

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

Solve for n
3n-2=2n
N=

Answers

Answer:

Hey there!

3n-2=2n

n-2=0

n=2

Let me know if this helps :)

3n - 2 = 2n

n =?

3n - 2n = 2

n = 2 ✔️

A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days? Estimate the answer by rounding off the number of toys to the nearest thousand.

Answers

Answer: $7,018,000

This value is a little over 7 million dollars

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

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

A dog is tied to a fire hydrant with a 3 foot leash. Describe the shape of the area the dog can travel.

Answers

Step-by-step explanation:

The shape will be circle, and its area will be πr²

factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)

Answers

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..

what is the width?
2w + 2(w+6) = 84

Answers

Answer: w = 18

Step-by-step explanation:

2w + 2(w+6) = 84

Distribute: 2w + 2w + 12 = 84

4w + 12 = 84

4w=72

how to find three-quarters of x

Answers

Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

HELP ME PLEASE PLEASE HELP ASAP PLEASE

Answers

Answer:

X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]  

Step-by-step explanation:

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