Solve this proportion c-1/c+2=4/7

Answers

Answer 1

Answer:

c = 5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]

Step 2: Solve for c

Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]

Step 3: Check

Plug in c to verify it's a solution.

[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]

[tex]\frac{4}{7} =\frac{4}{7}[/tex]


Related Questions

What’s the answer 6^8n+6=1296

Answers

Answer:

So I did it and I got 4 it might be right might not I hope this helped.

Step-by-step explanation:

Ευρωλο
The Sugar Sweet Company is going to transport its sugar to market. It will cost $7500 to rent trucks, and it will cost an additional $175 for each ton of sugar
transported
Let Crepresent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 19 tons of sugar.
Equation:
DO
Total cost to transport 19 tons of sugar: sl
х

Answers

Answer:

$10,825

Step-by-step explanation:

let C: represent the total cost which is what we are looking for

let a: represent the cost of renting a truck

let b: represent the cost of each tone of sugar

let s: represent the quantity of the tons of sugar

From the question the additional cost of the sugar depends on the tons

so we multiply the tons by $175

so our equation will be

C = a + bs

in this case our value of b is $175

so we have

C = a + $175s

C = $7500 + ($175 * 19)

C = $7500 + $3325

C = $10,825

If f(x) = 2x2-4x+12 , what is f(-4)

Answers

f(x)=2x^2-4x+12
f(-4)=2(-4)^2-4(-4)+12
= 32+16+12
= 60

Hope this helps! Comment if you need any explanation and I’ll try to get back to you ASAP

Express 8.3% as a ratio. OR Find 7% of 500.​

Answers

Answer:

8.3 / 1

Step-by-step explanation:

Its simple... search it up

Answer:

7% of 500=7/100*500=35

Find the missing number?

Answers

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

A point is randomly selected on the grid. What is the probability that the point will be located in the shaded region? Give your answer as a fraction,​

Answers

Answer:

how big is the shaded region tell me that and i will edit my answer to the right one

Step-by-step explanation:

Answer:

13/24

Step-by-step explanation:

I just did it happy holidays

can someone help me to solve 3/4÷1/2=​

Answers

Answer:

3/4 ÷ 1/2 is one and one half or 3/2

Answer:

1.5 or 1 1/2

Step-by-step explanation:

3/4 divided by 1/2 is simply a reverse order of multiplication.

As you see if you swap the 1 and 2 in one half you get 2 over 1.

This changes the division sign to a multiplication sign.

Thus then you can multiply 3/4 by 2 to get 6/4.

6/4 then can be simplified as 1 and 1/2 or 1.5.

14 POINTS AND BRAINLIEST HELP IM TAKING A TIMED TEST!! SHOW ALL WORK

Answers

Answer:

-1.5

Step-by-step explanation:

Solving in steps

(x-2)/7 = (2x+1)/44(x-2) = 7(2x +1)4x - 8 = 14x + 714x - 4x = -8 - 710x = - 15x = -15/10x = -1.5

Question 6 of 19
Which of the following numbers is closest to 6?
A. V38
B. 39
C. 35
D. 134
SUBMIT

Answers

35 is the most closest to 6

A calling plan charges $0.10 per minute and a monthly fee of $5.99. How many minutes can a customer talk if
they want the bill to equal $37.99?

Answers

Answer:

320 mins

Step-by-step explanation:

Answer:

320 minutes

Step-by-step explanation:

37.99-5.99= 32

32/.10 = 320 minutes

Arrange 88,667 132,414 23,112 83,001 to smallest to largest

Answers

Answer:

001,23,83,88,112,132,667

Step-by-step explanation:

Are you kidding me that you need help on this?

23,112 83,001 88,667 132,414
Did you even try to answer this question that’s easy

8 - 5 + 2 = evaluate

Answers

uhm ok
the answer is 5 although u probably don’t need that

Answer:

Your correct answer is 5.

Step-by-step explanation:

8 - 5 = 3

3 + 2 = 5

Therefore, your correct answer is 5.

What integer represents spending $100

Answers

Answer: <100

Step-by-step explanation:

Given the quadratic equation ² + + = 0 where , , are real numbers and ≠ 0, which of the following is the sum of its roots? *
A.) a
B.) c
C.) -b/a
D.) c/a

Answers

Answer:

Here is a more clearer version of the same question ;

29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.

The proving of both a) and b) has been done

Step-by-step explanation:

The step by step explanation has been given in the attachment below.

Step-by-step explanation:

1) What is the inverse of the function y-2=3x?
2) What is the inverse of the function y=2x-3?

Answers

I think the answer would be =. Y=(x+5)/2

Tom needs to paint a straight fence consisting of 6 panels. He has green, red, and magenta paint, and each panel should be painted with only one color.
How many ways are there to paint the fence?

Answers

Answer:

Total number of ways = 20

Step-by-step explanation:

Given:

Total number of panels = 6

Total number of color = 3

Find:

Total number of ways

Computation:

Total number of ways = ⁶C₃

Total number of ways = !6/!(6-3)!3

Total number of ways = !6/(!3)!3

Total number of ways = 20

Answer:20

Step-by-step explanation:

idk

A car traveled 180 miles at a constant rate.
Part 1. Complete the table to show the rate at which the car was traveling if it completed the same
distance in each number of hours.
travel time
(hours)
rate of travel (miles per
hour)
5
4.5
3
2.25
Part 2. In the scenario in question 4 write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if they traveled for t hours WILL GIVE 80 POINTS 

Answers

Answer/Step-by-step explanation:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Therefore, rate travelled for t hours would be:

[tex] r = \frac{180}{t} [/tex]

The rate of travel gives the average speed the car will be going if it covers

the 180 miles in different times

Part 1. The table showing the rate at which the car was going is presented as follows;

[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]

Part 2. To  make it easy to find the rate of travel, the following equation may be uses;

 [tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Reasons:

Part 1.

The given distance travelled by the car = 180 miles

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Therefore, we have;

[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]

Part 2.

The equation that would simplify the finding of the car's travel rate is given

by the following expression;

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Where:

The constant distance traveled = 180 miles

The time taken = t

The equation that will make finding the rate of travel, easy in therefore;

[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Learn more:

https://brainly.com/question/17374284

Bria drank an 8-ounce glass of water
from a 32-ounce container of water. How
many more 8-ounce glasses were left?

Answers

Answer:

3  8-ounce glasses of water were left

Step-by-step explanation:

If you divide 32 by 8, you get 4. And since she already drank a glass of water, you subtract 1 from 4, and you are left with 3.

To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?

Answers

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

To learn more about inequality :

https://brainly.com/question/14506583

#SPJ2

An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, price, number of power settings, and color. What are the individuals in this data set?

a) microwave ovens
b) brands
c) prices
d) colors

Answers

Answer:

  a) microwave ovens

Step-by-step explanation:

Since we don't know what the dataset is, we cannot say with certainty what its elements are. The first sentence talks about microwave ovens, so it may be reasonable to assume that will be the members of the data set.

_____

Additional comments

In computer programming terms (as for a shopping web site, for example), the data set would consist of tuples of ...

  (brand, price, number of power settings, color)

and perhaps other attributes, such as dimensions, home/commercial, length of warranty, and more. That is, the appropriate answer would be "all of the above."

__

We recommend you discuss this with your teacher and try get a clear statement of the rule that can be applied to questions like this. There are many "this situation" questions that are popular now, in which "this situation" could be any of numerous features of the scenario described. Defining the question properly is the first step to solving it.

Answer:

A

Step-by-step explanation:

the sum of two consecutive integers is -35. Name the integers

Answers

Okay so for consecutive
Your first integer can be represented by the variable x.
The second number will be x+1, since it is consecutive. (For example 1+1=2, where 1 and 2 are consecutive)

So, your equation will be
x+(x+1)=-35
Combine like terms
2x+1=-35
-1 -1
—————
2x=-36
Begin isolating the variable by moving the 1 to the right
Divide each side by 2 to completely isolate x
2x=-36
—— —-
2 2
x=-18

So, one of the numbers is -18. For the other integer, insert -18.
x+1=-18+1

-17

So one integer is -17, and the other is -18. You can check by adding these integers, which gives you -35.

Hope this helps!!

What is 9/4 - 7/10 subtracting fractions

Answers

Answer:

31/20

Step-by-step explanation:

write all numerators above the LCD 20

45-14/20

subtract the numbers

31/20

Answer:

31/20

Step-by-step explanation:

Write an equal ratio for the fraction 5/7

Answers

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

what is the answer to 8(4h+5) ​

Answers

Answer:

32h+40

Step-by-step explanation:

8*4h=32h

8*5=40

Which of the following shows a function written in equation notation that is equivalent to the function below? f(x) = 3(x+10)​

Answers

Answer:

A.  y = 3x + 10

Step-by-step explanation:

Answer is correct from plato too.

Answer:

y= 3(x + 10)

Step-by-step explanation:

I tried the y =3x=10 and I got it wrong, so I tried my answer and it said it was correct.

the solution of the equation y+2=_2 is​

Answers

Answer:

the answer is y= -4

Step-by-step explanation:

in this you basically just isolate the variable which means that you get rid off all the numbers that are applied to the varible by preforming the opposite opperation. In this case if you subtract 2 from both sides, the 2 on the left gets cancelled out and the -2 on the right turns into -4, so your equation would look like y=-4

5. Find the value x. (3pts.)
6x - 18
3x + 18
someone help

Answers

Answer:

x=12

Step-by-step explanation:

6x - 18 = 3x + 18

6x = 3x + 36

3x = 36

x=12

Answer:

its 12

Step-by-step explanation:

WILL GIVE BRAINLIEST, PLS ANSWER ASAP

Answers

Answer:

THE THIRD CHOICE

Step-by-step explanation:

from the first step of the construction, drawing the arcs on both rays establishes that AB is

similar to AC
Congruent to AC
Different from AC

Answers

Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass

Step-by-step explanation:

What is -3(5x-1)=-27?

Answers

Answer:

2

Step-by-step explanation:

5x-1=9

5x=9+1

5x+10

x=2

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