answer the question correctly for good luck

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:

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

[tex]c =kd[/tex]

Given that

c = 24 when d = 4

Putting the values

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

Putting the value of k

[tex]c = 6d[/tex]

Putting d = 8

[tex]c = 6(8) = 48[/tex]

Putting c = 54

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

Hence,

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Related Questions

What is the slope of 7,-2 and -3,3

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1

3-(-2)/ -3-7

5/-10

= -1/2

Help please due in an 1 hour!!

Answers

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

The first answer, 3 times the square root of x squared is correct.

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Answers

Sorry the solution cut off but it’s y=3x-10

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Find the two square roots of 144.

Answers

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

Answer:

12 and -12

Step-by-step explanation:

144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.

12 x 12 = 144

-12 x -12 = 144 (two negatives equal a positive)

ten subtracted from a number if the difference is 30 what was the orginal number​

Answers

X-10=30

X=30+10

X= 40

So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30

Which is the value of the expression when x=-2 and y =-3

Answers

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

which expression is equal to -3(4x - 2) - 2x?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

please help me :(



Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?

Answers

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

what is the lowest term of 27/45

Answers

Answer:

3/5

Step-by-step explanation:

[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

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is this set of ordered pairs of a function?
(1,1) (2,3) (3,4) (4,2) (5,1)

Answers

Yes it is a function

Charles charges 4 an our to baby sit he also adds an extra 10 dollars onto the total for families with more than 3 children. How much will charles charge to baby sit 4 children for 4 hourss

Answers

14? i’m wrong but what everyone

Answer:

i beleve 26 or 48

good luck

find the solution to following system using substitution or elimination

y = -x + 10

y = 7x + 2

A. (1,9)

B. ( 3/2 , 17/2)

C. (9,65)

D. (1, -1/7)

Answers

Answer:

the answer is (1,9)

Step-by-step explanation:

Can someone please help!!

Answers

Answer:

Step-by-step explanation:

the last one

If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?

Answers

Answer: 1/5525

Explanation:

There are 4 queen in a standard deck.

52 cards in total.

The probability of picking a queen is 4/52.

The probability of picking a queen again is 3/51.

The probability of picking another queen is 2/50

P = 4/52 x 3/51 x 2/50
P = 1/13 x 1/17 x 1/25
P = 1/5525

Answer:

0.01809955% or about 0.018%

Step-by-step explanation:

You do the multiplication of 4/52 by 3/51 by 2/50

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .

Convert 10 kg⋅cm/s2 to Newtons.


1×10−1 N

1×10−2 N

1×10−5 N

1×10−6 N

Answers

Answer:

B

Step-by-step explanation:

If it’s right can you mark me brainliest ty

The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given the metric unit of force,

10 kg⋅cm/s²

Since,

1 meter = 100 cm ⇒ 1 centimeter  = 0.01meter

So,

10 kg⋅cm/s² = 10 kg (0.01)m/s²

10 kg⋅cm/s² = 10 × 0.01  kg m/s²

10 kg⋅cm/s² = 1×10−1  kg m/s²

Since,

kg m/s² = Newton (N)

So,

10 kg⋅cm/s² = 1×10−1 N

Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".

To learn more about unit conversion,

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Write a recursive formula for the
sequence
12,27,42,57.....

HELP ME PLEASE I DO ANYTHING I BEEN STUCK FOR 30mins now

Answers

Answer: Adding 15 each time

Find the value of x​

Answers

Answer: x= 108

Step-by-step explanation: The triangle is an isosceles triangle, so the two sides are parallel which means the other angle equals to 72 as well. Now we take the triangle rule and do 180-72-72= 36 (the top angle= 36). The triangles are all equal so that means the other angle (in the upside down one) also equals 72 so we take 36+72= 108. Since it is also a parallelogram, the angles are equal.

What is the least amount of additional money Sofia can spend to get the sushi they need?

Answers

Answer:

$

Step-by-step explanation:

The coordinates of the turning point of the graph of
y = x
2 − 8x + 25 is (4,9).
Hence describe the single transformation which maps
the graph of y = x

2 onto the graph of

y = x
2 − 8x + 25.

Answers

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?​

Answers

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?

A.
60%

B.
12.5%

C.
10%

D.
7.5%

Answers

Answer:

60%

Step-by-step explanation:

Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100

$19.99 - 12.5

-------------------   times 100

12.5

Follow PEMDAS

7.49 / 12.5 = 0.5592 (100) = 59.92

Round to the nearest whole number. So about 60%

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.

Answers

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?

Answers

Answer:

the Compound interest is £1,543.90

Step-by-step explanation:

The computation of the compound interest is shown below:

As we know that

Compound interest is

Amount = Principal × (1 + rate of interest)^number of years

= £1,200 × (1 + 0.032)^8

= £1,200 × 1.286582318

=  £1,543.90

hence, the Compound interest is £1,543.90

We simply applied the above formula so that the correct value could come

And, the same is to be considered

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