If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4

Find an equation connecting ‘c’ and ‘d’

Find ‘c’ when d = 8

Find ‘d’ when c = 54

Answers

Answer 1

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

Answer 2

Answer:

c = 6dc = 48 when d=8d = 9 when c=54

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

c = 6dc = 48 when d=8d = 9 when c=54

Related Questions

2. Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks, and 1 pair of white
socks. If she picks a pair at random, what is the probability she will pick a green pair?
Help!

Answers

AnsweGreen socks

Step-by-step explanation: the is more green socks then black and even if she put in the green socks first the is a 90% chance of getting a black sock.

Answer:

1/10

Step-by-step explanation:

ok byeeee

You go to Mellow Mushroom and your bill is $50.
You decide to leave a 20% tip.
What is your final cost?

Answers

60$

10% of 50$ is 5(50/10), so 20% (10% x 2) would be 10 (5$ x 2)

The original 50$ added to the 10$ would make 60$

The speed limit on a highway is 80 miles per hour. How many miles per minute is this?

Answers

Answer:

0.75

Step-by-step explanation:

Cuanto es 17 entre un medio

Answers

Answer: 8.5

Step-by-step explanation:

espanol- deberia ser 8.5

english- it should be 8.5 good luck!

estimate 40,182 ÷ 2​

Answers

Answer: 20,091 is the answer but if you round it becomes to 22,090

Answer:

20091

Step-by-step explanation:

what is the slope of the graph of y=12x-19

Answers

Answer:

The slope is 12

Step-by-step explanation:

Remember the slope formula y=mx+b

m= the slope

b= y-intercept

Math proportions..............

Answers

9/x = 25/100

cross multiple to get:

25x = 900

then divide to simply:

x=36

NEED HELP!!! ASAP last minute homework

Answers

The error is the sign of Inequality.

For Inequality, when the variable has negative coefficient, moving to another side would cause the Inequality symbol/sign to swap.

Therefore, from x>=-3 as it should be x<=-3

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

The regular price is $8.45 more than the sale price. The regular price
is $24.95. What is the sale price? _____

Answers

Answer:

33.04

Step-by-step explanation:

just add lolz :P

Answer:

$33.40

Step-by-step explanation:

  1  1  1

  24.95

+   8.45

__________

    33.40

5+5 is 10 so bring a 1 to the top and put a 0 for the bottom

1+9+4 is 14 so put the 4 down and put the 1 on top.

1+4+8 is 13 so put the 3 down and put the 1 on top.

1+2 is 3 so put the 3 down

then you get 33.40

Which table does NOT show y as a function of x?

Answers

Answer:

C

Step-by-step explanation:

I don’t really know what to say haha, it’s easy

what is the lowest term of 64/96

Answers

Answer: the answer is 2/3

Step-by-step explanation: hope this helps

Answer:

[tex]0.6666666667[/tex] [tex]or[/tex] [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{64}{96}[/tex] = [tex]\frac{32}{48}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]0.6666666667[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

The admission fee at a museum is $5 for children and $16 for adults. Yesterday, 800 people came to the museum and $8400 was collected. How many children and how many adults came to the museum?

Answers

(c + a = 800)5
5c + 16a = 8400
5c + 5a = 4000
Subtract
11a = 4400
a = 400
There were 400 children and 400 adults

what does 58x9234=????

Answers

Answer:

535572

Step-by-step explanation:

Np just for a friend

if there are 25 members in a club and 40% are girls how many girls are in the club

Answers

Answer:

there are 10 girls in the club

Step-by-step explanation:

25*40% is equal to 10

lemme get some help plz

Answers

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

How do I make 2x+y+ 3X - 7 y=mx+b

Answers

Step-by-step explanation:

[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]

help me please I suck at math its my weakness

Answers

Answer:

b

Step-by-step explanation:

2x29divide by 70006=x=?

Answers

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

What is the equation of the line that passes through (–5, 0) and (4, 3)?
A. y = 1/3x + 5/3
B. y = –1/3x – 5
C. y = 3x + 15
D. y = –3x – 15

Answers

Answer:

bop bada bap boom pow!Djdnxnjxjdjfbcc

For a line with the equation y=2/3x−4, the slope is:

A 2


B 2/3 thirds

C 3


D -4

Answers

Answer:

The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Answers

Answer:

10,2

Step-by-step explanation:

Solve x + 7 > 15 or 2x - 1 < 3.

Answers

Answer:16x?

Step-by-step explanation:

what that guy said 90

NEED HELP ASAP PLEASE HELP!!!!

Answers

Answer:

d

Step-by-step explanation:

the correct answer is D

Determine whether the lines are parallel, perpendicular, or neither. 5x + 2y = 14 and y = −5x + 9

Answers

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

Answer: Neither

Step-by-step explanation:

5x + 2y = 14

2y = -5x + 14

y = -5/2 x + 7; slope m = -5/2

y = –5x + 9 ; slope m = -5.

Parallel lines slopes are equal and perpendicular slopes are opposite and reciprocal.

So both lines are neither parallel nor perpendicular

Answer

C. Neither.

Solve the equation by completing the square.

6x^2-12x-16=2

Answers

X=3,-1 is the correct answer. Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

what is the horizontal asymptote for this graph

Answers

Answer:

Y=0

Step-by-step explanation:

4x+7y=83 and 5+6y=90 solved by substion

Answers

Why is there no x value

Solve each system to find the answer

Answers

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

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