In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54​

Answers

Answer 1

Answer:

y=40

Step-by-step explanation:

x   y

9   15

24  y

9/24=15/y

24*15=9y

360=9y

40=y

Therefore, 40 is correct.

Answer 2

If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, in a proportional relationship when x=9 we know that y=15.

If x is directly varies to y we get

x∝y

x=ky

Now, 9=15k

k=9/15

k=3/5

So, equation is x=3/5y

When x=24, we get

24=3/5y

24×5=3y

y=40

Therefore, option (3) is the correct answer.

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Related Questions

Guys, I need help ASAP!!
The standard deviation of the following data set is 0.31. 95% of the data would fall in which range?
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Pr (3.88 ≤ X ≤ 5.12)
Pr (2.67 ≤ X ≤ 5.33)
Pr (4.19 ≤ X ≤ 4.81)
Pr (3.57 ≤ X ≤ 5.43)

Answers

Answer:

Step-by-step explanation:

Answer is "B"

-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)

(70 points.)

Answers

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

What is PEMDAS?

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

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The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)

ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units

Answers

Answer:

28.8

Step-by-step explanation:

Answer:28.8

Step-by-step explanation:

There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x

1. what is the constant proportionality

2. How long will it take to fill 8 bowls

3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS

Answers

Its 1 , i know that because the constant is neverending

It takes John 54 minutes to paint a fence with a length of 12 meters. On average, how long did he take to paint 1 meter of the fence? *
25 points
3.5 minutes
4.5 minutes
4.8 minutes
5.4 minutes
Other:

Answers

Answer:

4.5

Step-by-step explanation:

I think it will work if you Divide 54 over 12 = 4.5

It will really help if you answer atleast 2 of them

Answers

2. 8 x 43 = 344

8 x 43 = 8 (40 + 3)

8 x 43 = 320 + 24

3. 6 x 532 = 3192

6 x 532 = 6 (500 + 30 + 2)

6 x 532 = 3000 + 180 + 12

4. 5 x 923 = 4615

5 x 923 = 5 (900 + 20 + 3)

5 x 923 = 4500 + 100 + 15

I hope this helps :)

What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7

Answers

Answer:

2

Step-by-step explanation:

-1-11/-4-2 = -12/-6 = 2

The required slope for the linear relationship is -2.

Slope to be determine for table x = -4  2   5,  y = 1   -1  -7 showing linear relationship.

What is slope?

Slope of function is defined as the rate at which function is increasing.

Here, slope

[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]

Thus, the required slope for the linear relationship is -2.

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Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3

Answers

Answer:

-3i + (6 x 9)

Step-by-step explanation:

The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients.

The zeroes of the polynomial will be 1 + i, 1 – i, and 3.

Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).

Then the polynomial will be

(x – 1 – i)(x – 1 + i)(x – 3)

[(x – 1)² – i²](x – 3)

(x² – 2x + 2)(x – 3)

x³ – 2x² – 3x² + 2x + 6x – 6

x³ – 5x² + 8x – 6

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I got bullied guys *drop mic 100000000000x times till faints*

Answers

Step-by-step explanation:

1-800-273-8255 my dude

Answer:

I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.

What is the equation of the line that passes through the points (4, 5) and (7, 3)

Answers

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)

Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?

Answers

108+x = 550

550-108= 442

Jonah made 442 party favors .

Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .

Answers

F(x)=2x
I would write that since x represents the weeks and we know that she watches two movies a week

Whats the answer for this question guys???

Answers

Answer:

0.78539816

Step-by-step explanation:

hope this helped

Answer:

25m

Step-by-step explanation:

/_B=pie/4=45°

since we have /_C=90° then this triangle is a right isosceles triangle

so sides are equal

so a=b= 25 m

A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?

Answers

Answer:

37.7 feet

Step-by-step explanation:

1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.

Solve please

18 + 8x<34

Answers

Answer:

x=2

Step-by-step explanation:

2 is greater than x

help no good at maths

Answers

We know that all angles of a triangle equal 180 when added together. We have two angle measures which are 3/2x and 1/2x
***3/2x + 1/2x + x = 180 degrees***
For the other way you can switch around the positions of the angles in the equation as long as the = stays 180 so like
X + 3/2x + 1/2x = 180
180 + x + 1/2x + 3/2x
Or maybe change the 3/2x to 1 1/2x

Solve for p: 16p + 24 = 48

Answers

hi

16p +24 = 48

16p = 48-24

 16p = 24

    p = 24/16

    P =  8*3 /8*2

    p =    3/2

Answer:

3/2

Step-by-step explanation:

First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!

Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %​

Answers

Answer:

Step-by-step explanation:

3% in a decimal is 0.03.

A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1.

What is the residual e when x = 12?

Enter your answer in the box.
e =

Answers

Answer:

Im pretty sure it is E=8

Step-by-step explanation:

Answer:

E=8

Step-by-step explanation:

took the test :)

p-1/4=5 1/4

(Change mixed number into a improper fraction first.)

PLZ HELLP WILL GIVE BRAINLY

Answers

5.500

p-1/4-(21/4)=0

Step by step solution :

STEP
1
:

21
Simplify ——
4
Equation at the end of step
1
:

1 21
(p - —) - —— = 0
4 4
STEP
2
:

1
Simplify —
4
Equation at the end of step
2
:

1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 4 as the denominator :

p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:

(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:

Pulling out like terms :

5.1 Pull out like factors :

4p - 22 = 2 • (2p - 11)

Equation at the end of step
5
:

2 • (2p - 11)
————————————— = 0
4
STEP
6
:

When a fraction equals zero :

6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
2 • (2p-11) = 0

Equations which are never true:

6.2 Solve : 2 = 0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : 2p-11 = 0

Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500

Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?

Answers

Answer:

y=4, y=2

Step-by-step explanation:

Please help I need help fast

Answers

Answer:This problem asks how many groups of 1/3 are in 4.

Quotient :12

Step-by-step explanation:

Hey I will give BRAINLIEST if its correct thanks !:)

Answers

Answer:

B

Step-by-step explanation:

C=2πr

which is 2*pi*radius

For you to give brainliest.

5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions

Answers

Step-by-step explanation:

Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)

4x+7=6x-154x+7=6x−15

7=6x-15-4x7=6x−15−4x

7=2x-157=2x−15

7+15=2x7+15=2x

22=2x22=2x

22=2x / 222=2x/2

x=11x=11

Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.

Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.

Answers

Answer:

( - 1, 3 )

Step-by-step explanation:

( 1 - 2 , 1 + 2 ) = ( - 1, 3)

(1, 1) -----> ( - 1, 3 )

Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.

Answers

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)

True or False: A check is a document that directs the bank to deduct money from your account and make a payment

Answers

Answer:true

Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.

The answer is true.

I give you brainliest

Answers

Answer:

Problem 1:

H = (5,2)

I = (8, 4)

J (7,8)

K (3,8)

L (2,4)

Problem 2:

H (2, -4)

I (5,-2)

J (8, -4)

K (7, -8)

L (3, -8)

For problem 3 just use the coordinates points to plot/sketch the graph

Step-by-step explanation:

A football team loses an average of 3 yards per play. How many yards
have they lost after 4 plays? Write a number sentence to show your
answer.

Answers

The expression would be:

3x

x=number of plays

Insert 4:

3(4)

=12

They would 12 yards after 4 plays if losing 3 yards every play.

The amount of yards the football team loses after 4 plays is given by the equation A = 12 yards

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of yards the football team loses after 4 plays be A

Now , the equation will be

Let the amount of yards the football team loses per play = 3 yards

So , the amount of yards the football team loses after 4 plays = 3 x amount of yards the football team loses per play

Substituting the values in the equation , we get

The amount of yards the football team loses after 4 plays A = 3 x 4

On simplifying the equation , we get

The amount of yards the football team loses after 4 plays A = 12 yards

Hence , the amount of yards is 12 yards

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A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

Answers

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

What is static equilibrium?

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

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