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

write the formula of mode for grouped data,and explain each term in it.​

Answers

Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?

Answers

Answer:

34

Step-by-step explanation:

Answer:

34 customers.

Step-by-step explanation:

57-23=34

pls help because im awful at math

Answers

Answer:

8/4

Step-by-step explanation:

because 8 is x and x goes first and y is 4 and y goes last

hope this helps!

what is the value of f(-4.2) given the function f(x) = 23.2x + 2.5

Answers

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

14 ft
48 ft
What is the length of the hypotenuse?

Answers

Answer:

50ft

Step-by-step explanation:

use the Pythagorean theorem 14 squared + 48 squared equals 2500 square root of 2500 equals c squared the square root of 2500 is 50

Answer:

50

the Pythagorean theorem states that the hypotenuse of a triangle squared is equal to the sums of the other 2 sides squared.

it can be expressed as so:

c^2=a^2+b^2

therefore

c^2=14^2+48^2

C^2= 196+2304

c^2=2500

square root of 2500 is 50

50=the hypotenuse.

Step-by-step explanation:

Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get

Answers

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!

(–5, 0.5) a solution of the system of equations.

What is a system of equations?

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

For more references on the system of equations, click;

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Give the coordinate of the point where the line crosses the (a) y-axis and (b) the x-axis for the equation y=3x+1 *

Answers

Answer:

y = 3x -1

Step-by-step explanation:

8) The midsegment of an equilateral triangle measures 6 yards. What is the perimeter of the equilateral
triangle?
A) 18 yards
B) 36 yards
C) 6 yards
D) 9 yards

Answers

A because 6x3= 18 hope this helps

What is the coefficient for 6y2−2x+10

Answers

Answer:

6

Step-by-step explanation:

because 6 has the highest value of square

HELP!!! Plz

You are opening a new business and have to set up utilities. The cable company charges a $49.95 one time connection fee which includes the price of hardware. The cost of the service is $45.95 per month. The phone company charges $79.95 for the connection fee and hardware, plus $29.95 per month. What is the total cost for both services for the first month? _____________ What would be the DIFFERENCE in the cost of the two plans for 12 months? ______________

Blank 1: ____________
Blank 2: _____________

Answers

Answer:

Blank 1: $205.8

Blank 2: $388

Step-by-step explanation:

For blank 1, I added up the 4 numbers because that's what 1 month would cost for both services. For blank 2, I multiplied the monthly fee for each service separately by 12, for 12 months. After that, each equation still separate add the 1 time fee and subtract each company price and you will get your answer.

- I hope this is correct and helpful :)

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

Cable company Connection fee and hardware = 49.95 dollars

Cost of service = 45.95 dollars per month.

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 49.95 dollars + (45.95 dollars per month x 12 months) Cost for a 12-month period = 49.95 dollars + 551.40 dollars Cost for a 12-month period = 601.35 dollars

Phone company Connection fee and hardware = 79.95 dollars Cost of service = 29.95 dollars per month

Cost for a 12-month period = (connection fee and hardware) + ((cost of service) x 12 months) Cost for a 12-month period = 79.95 dollars + (29.95 dollars per month x 12 months) Cost for a 12-month period = 79.95 dollars + 359.40 dollars Cost for a 12-month period = 439.35 dollars Difference in the cost = (cable company cost) - (phone company cost) Difference in the cost = 601.35 dollars - 439.35 dollars Difference in the cost = 162 dollars

Phone company costs for a 12-month period are 162 dollars cheaper than cable company costs.

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If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.

Answers

Answer:

5x -12 = 3x +8 (set the two = each other because they are the same length)

2x- 12= 8 (subtract 3x from both sides)

2x = 20 (add 12 to both sides)

x=10 (what x= for both expressions)

5(10) -12 (plug it into the first one to see what the length is and to see they're =

50 - 12 ( I already multiplied, now subtract)

38 (what the length of TR is)

3(10) +8 (plug it in again but into the other expression)

30+8 (multiply and add)

38 (the two have the same answer, so the x-value is correct.)

38+38= 76 (add the lengths of RS and TR and you get the length of TS)

Step-by-step explanation:

I hope this helps :)

Applying the segment addition theorem, the value of TS is: 76

Given:

TR = 5x - 12

RS = 3x + 8

If T is the midpoint of TS, therefore we would have the following equation:

TR = RS

Plug in the expressions

5x - 12 = 3x + 8

Add like terms together

5x - 3x = 12 + 8

2x = 20

Divide both sides by 2

x = 10

TS = TR + RS (segment addition theorem)

Substitute

TS = 5x - 12 + 3x + 8

Plug in the value of x

TS = 5(10) - 12 + 3(10) + 8

TS = 50 - 12 + 30 + 8

TS = 76

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There are 30 students in Ms. Prema's history class. 18 of these students turned in an extra credit project at the end of the semester.

Answers

Answer:

12 students didnt turn in a extra credit project at the end of the semester.

Step-by-step explanation:

3 = 3 + 7k + 7 whats the anwser and steps

Answers

Answer: what does they K stand for

Step-by-step explanation:maybe I can help you

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Subtract 10 and simplify. We choose this value so the constants on the right add up to give 0.

  3 -10 = 3 + 7k + 7 -10

 -7 = 7k

Divide by 7.

  -7/7 = 7k/7

  -1 = k

For f(x) = -3x + 8 , find f(x) when x = -2

Answers

The answer is F=-7 plug in the -2 into the equation next Time

Will give brainliest... Please I need this answer so badly

Answers

(6 - x) * (6 + x) - ( (2 - x) * (2 + x) ) =

6^2 - x^2 - ( 2^2 - x^2 ) =

36 - x^2 - ( 4 - x^2 ) =

36 - x^2 - 4 + x^2 =

36 - 4 =

32 square feet

4(-y+3)=2(5-y)
x=?

Merry Christmas

Answers

Answer:

Y=1

Step-by-step explanation:

ㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍ

Answer:

Y = 1

Step-by-step explanation:

HURRY

A bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.

What is the probability that the golf ball he selects is white or pink?

5/54

5/13

13/18

13/5

Answers

Answer:

I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out

Add them together first. You get in total 18. So that’s your base number. Then add the white balls that is 10 and the pink balls that is 3. The reason why I don’t add the 5 yellow balls is because they are not mentioned in the third sentence. When you added those you will end up with 13/18.
I hope this helps :)

I WILL MAKE BRAINIEST AND GIVE EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mrs. Garcia's math test is worth 50 points. If you answer all questions and extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?

Answers

1 and 1/10
1.1
110%

mark me brainliest if the answer is correct, thank you in advance :)

a dozen roses costs $21 at this rate, how much would you expect for four roses​

Answers

Answer:

$7

Step-by-step explanation:

Divide 21 by 12 which equals 1.75. Multiply by 4 and it's 7.

The cost of four roses is $7.

Given that, a dozen roses costs $21.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

We know that, in one dozen there will be 12 roses.

Now, cost of one rose = 21/12

= $1.75

So, cost of 4 roses = 4×1.75

= $7

Therefore, the cost of four roses is $7.

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Random variation in a process indicates __________; whereas non-random variation indicates process __________.

Answers

Answer: b. Stability/instability

Step-by-step explanation:

Random variation in a process indicates stability; whereas non-random variation indicates process instability.

When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.

When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.

How many solutions does 46x– 23 = 46x + 23 have

Answers

Answer:

no solution

Step-by-step explanation:

Let's first try to solve this.

Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:

-23 = 23

Well... this is a false statement: -23 does not equal 23.

Thus, this as no solution.

Answer:

No solutions found

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

46*x - 23 - (46*x + 23) = 0

Equations that are never true

Solve : -46  =  0

This equation has no solution.

A non-zero constant never equals zero.

HELP HELP HELP PLEASE

A line has a slope of 1/4. The line passes through the point (4, 6). The line also passes through the point (12, k). What is the value of k?

Answers

the answer is k=8 (4,6/8,7/12,8)

Work out (5X10^3) x (9X10^7) answer in standard form plz

Answers

Answer:

4.5×10¹¹

Answer:

[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]

i) use the commutative property to rearrange the terms: a+b = b+a

[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]

ii) multiply the number in the 1st bracket

[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]

iii) multiply the 2nd bracket by adding their exponents

[tex]45 \times 10 {}^{3 + 7} [/tex]

[tex]45 \times 10 {}^{10} [/tex]

iv) write the answer in standard form

[tex]4.5 \times 10 {}^{10 + 1} [/tex]

[tex]4.5 \times {10}^{11} [/tex]

The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].

Equation in standard form:

Since

The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]

Now here we use the commutative property

So,

[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]

Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.

Learn more about an equation here: https://brainly.com/question/24271130

this is um .... im hungry .

Answers

Answer:

what? im hungry too..... and the photo is blurry

Answer:

Hungry too gonna go eat

Step-by-step explanation:

Which point is a reflection of M(-5, -6) across the y-axis?
Y
8
7
6
5
4
3
2
0
-6 -5 -4 -3 -2
0 1
3
4
5
6
- 2
-3
-4
-5
-6
-8
-9

Answers

Answer:

point R

Step-by-step explanation:

reflection rule for the y-axis

p(x, y)->p'(-x, y)

therefore:

M(-5, -6)->R(5, -6)

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?

Answers

Answer:

8

Step-by-step explanation:

50/5.95

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?

Answers

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Noah and his sister are making gift bags for a birthday party. Noah
puts 3 pencil erasers in each bag. His sister puts x stickers in each
bag. After filling 4 bags, they have used a total of 44 items. What is x

Answers

Answer:

x=8

Step-by-step explanation:

sorry if thatś not what your looking for

MERRY CHRISTMAS!!!

Answer:

12 bags, 2 pencils, 3 stickers.

Step-by-step explanation:

a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots ​

Answers

Answer:

a)

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

[tex]x^2+px+4=0[/tex]

a)

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

[tex]a^2+2ab+b^2=(a+b)^2[/tex]

We already have the first term squared, and we need to find the second term. Rewriting the equation:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]

The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]

Factoring:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]

Moving the independent term to the right side:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]

Taking the square root:

[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

Solving for x:

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) If the equation won't have real roots, then the radicand should be negative:

[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]

Factoring:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

The zeros of the left-side polynomial are:

[tex]\displaystyle \frac{1}{2}p-2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=2[/tex]

p = 4

[tex]\displaystyle \frac{1}{2}p+2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=-2[/tex]

p = -4

The inequality:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

Is satisfied for values of p in the interval (-4,4)

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