Solve the proportion. I need to show much work so a step by step explanation would help!

Solve The Proportion. I Need To Show Much Work So A Step By Step Explanation Would Help!

Answers

Answer 1

Answer:

Solution: x=5

Step-by-step explanation:

Equations

This is an equation in the form of a proportion or ratio:

[tex]\displaystyle \frac{2}{x+3}=\frac{5}{4x}[/tex]

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

[tex]\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}[/tex]

Simplify both sides:

[tex](4x)*2=(x+3)*5[/tex]

Operate:

[tex]8x=5x+15[/tex]

Simplify:

[tex]3x=15[/tex]

Solve for x:

[tex]x=15/3=5[/tex]

Solution: x=5


Related Questions

The product of two factors is 3,500. If one of the factors is 70, which is the other factor?

A.
50

B.
80

C.
500

D.
700

Answers

Answer:✨

A. 50

✨Step-by-step explanation:✨

3,500 ÷ 70 = 50

Check if answer is correct:

70 x 50 = 3,500

I’m pretty sure it’s A. 50

ratio of 12/7 and 36/21

Answers

The answer is true you welcome

The camper to instructor ratio at a summer camp is 9 campers to 1 instructor. If the camp employs 13 instructors, what is the maximum number of campers the camp can have at a time?
campers

Answers

Answer:

117 campers

Step-by-step explanation:

Please answer this question for me

Answers

Answer:

11, 12 is right

Step-by-step explanation:

if you do the equation the answer is 11.7473etc, and is in the middle of 11 and 12

Answer:

you marked the right one

Step-by-step explanation:

PLEASE HELP ME!!!

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y = - \frac{2}{3}x + 5 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is the first one.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if u want explanation buddy..

Daud can jog 4 miles in 75 minutes. What is David's jogging rate per hour?

Answers

Answer:

3 mph

Step-by-step explanation:

1 hour = 60 minutes.

4 miles/ 75 minutes = x miles / 60 minutes

240 = 75 x

x = 3.2

3.2 miles per hour

Can somebody who knows this answer all these correct plz thank you!!!!

(WILL MARK AS BRAINLIEST FIRST ANSWER)
Grade5math

Answers

7. 0.4

8. 0.55

9. 0.125

10. 3.5

11. 11.8

12. 7.625

13. 0.556 rounded nearest 10th = 0.6

14. 0.455 rounded nearest 10th = 0.5

15. 6.714 rounded nearest 10th = 6.7

Hope this helps :)

DUE IN 6 MINUTES!!

Which diagram provides a counter example to the statement below?

“Supplementary angles are never congruent.”


Answers

Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex].  Thus, the appropriate option would be C.

Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].

Congruent property of angles implies that they have equal value.

Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”

Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.

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A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
y+ 2 = } (x - 5)
A.
B.
y-5= (x + 2)
O C. y= {x +
3
o
D.
y+5 = (– 2)

Answers

y-5=m(x+2) is the answer in point slope form

Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

A rectangular box is 8 inches long, 10 inches wide, and 6 inches tall.

What is the approximate length of its longest diagonal?

Answers

Answer:

480

Step-by-step explanation:

If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480

Which has a greater slope, a horizontal line or a vertical line?

Answers

Answer:

A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

A horizontal line has a greater slope than a vertical line

Someone please help me

Answers

Question A = 30
Question B = answer choice A
question c = answer choice B
question d = answer choice A

six times a number decreased by 8 is less than five times the number plus 21

Answers

Answer:

6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.

Step-by-step explanation:

Question = 6x - 8 < 5x +21

so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5.  so the first factor of 6 is 6 so:

(6 x 6) - 8 < (5 x 6) + 21

36 - 8 < 30 + 21

28 < 51

so x = 6

Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:

(6 x 30) - 8 is more than (5 x 30) + 21

180 - 8 is more than 150 + 21

172 is more than 171

hope that helps  : )

Representing the problem using mathematical equation, the inequality which represents the scenario is n < 29

Let the number be represented as n :

6n - 8 < 5n + 21

We can then solve for n

6n - 5n < 21 + 8

n < 29

Therefore, the inequality expression which represents the possible values of n for which the expression is true is n < 29

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HELP!!!! NEED ANSWER ASAP!
Leanne earned $400 and $550 in the interest in the last 2 years. How much interest must she earn
this year so that her average earnings over the three year period is more than $600?

Answers

Answer:

yes, its more than 600$ the answer is 700$ good luck and tell me if u got this right or wrong (if it's wrong, I'm sorry)

Kamus luined 10 years old. Her mother is four times older than Kim.
How old is Kim's mother?

Answers

Her mother is 40 yrs

YOOO HELP‼️

What is the slope of the line represented by the equation -52 + 2y = 10?

Answers

Answer:

5/2

Step-by-step explanation:

Use PEMDAS to solve the equation in y=mx+b form.

Add 5x on each side of the = sign  (which cancels on left side, and add on right)

Your equation should look like this: 2y=5x+10

Next, you're going to divide the whole equation by 2, to get y by itself

which equals y=5/2x+10

M=slope

B= y-intercept

Solve the equation and check the solution.
a minus 2 and one-half = 1 and one-half

A.a = 1
B.a = 3 and one-half
C.a = 4
D.a = 4 and one-half

Answers

A - 2 1/2 = 1 1/2

Solve for A by adding 2 1/2 to both sides:

A = 1 1/2 + 2 1/2

A = 4

The answer is c. A = 4

Check: 4 - 2 1/2 = 1 1/2

Answer:

C. A=4

Step-by-step explanation:

i just did the assignment

A music store marks up the instruments it sells by 30%. If the price on a trumpet says $104. How much did the store pay for it?

Answers

Answer:

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%

Step-by-step explanation:

Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

 B. We have,

SP = $ 104,

  C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =  

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer:

$ 72.80

Step-by-step explanation:

30% of 104 = 0.30 * 104

                  = $ 31.20

Money paid by the store = 104 - 31.20

                                         = $ 72.80

What is the best first step in solving the equation below.
3x - 5 = 75 + 11
A Add 11 to both sides
B Divide by 7x on both sides
C Subtract 3x on both sides
D Add 3x to both sides

Answers

I think it A( not 100% sure )

Answer:

It’s C

Step-by-step explanation:

Please help ASAP please I’ll mark as brainlister

Answers

Problems

The bottom of the red figure should be long; similar to the top of the blue figure.

The top of the red figure should be the same as the bottom of the blue figure.

Red are: (1, -1), (4, -1), (1, -5), (3, -5), (2, -2), (2, -4), (3, -4), (4, -2), (4, -2)

red points should be:

(1, -1), (3, -1), (1, -5), (4, -5),  (2, -2), (2, -4), (4, -4), (3, -2),  (3, -2),

please answer this before tomorow please guys help me help me please​

Answers

Answer:

3456

Step-by-step explanation:

5555

Answer:

which grade are you

Step-by-step explanation:

skskakksksksks

Steve joins a gym with a first month fee of $50 and $10 every month after that. A. Write a function that shows the amount Rajs has paid after m months.(use f(m) and m in the function) B. How much will he have spent in total after 12 months?​

Answers

f(m)= 10m+50 m equals the amount of months and 50 is the starting value

(5.3 x 10^3) - (8 x 10^2)

Answers

Answer:

800

Step-by-step explanation:

NOW ANSWER THE QUESTION THIS TIME

Answers

Answer:

60 – 80 pounds, while a trophy can weigh over 100 pounds

1.4–1.8 kg (3.1–4.0 lb) and a fork length of 60 cm (24 in). At age seven, females average 10 kg (22 lb), males 5 kg (11 lb). King mackerel may attain 40 kg (88 lb), but any over 7 kg (15 lb) is almost certainly a female.

blue marlin 210 lbs

black marlin 1,650 lb

white marlins approximately 180

100 pounds.


find the sum . red is negatives and yellow are positives

Answers

Answer:

-3

Step-by-step explanation:

-6+3

beucase they are opposite signs (negative and positive) you subtract to find the difference; 6 minus 3 and you keep the sign of the larger number

Answer:

-3

Step-by-step explanation:

There are 3 yellows and 6 reds

then

(-6) + 3 = (-3)

Twice as a number plus 5 is equal to 27 what does x equal

Answers

Answer:

x=11

Step-by-step explanation:

2x+5=27

-5 -5

2x=22

x=11

Answer:

x = 11

Step-by-step explanation:

2x + 5 = 27

2x +5 - 5 = 27 - 5

2x = 22

x/2 = 22/2

x = 11

What is the slope of the line with equation y-3=-1/2(x-2)​

Answers

Answer:

-1/2

Step-by-step explanation:

(h, k) --> point

m ---> slope

y - k = m (x - h)

Answer:

-1/2

Step-by-step explanation:

I got it right on EDGE

Derek spends $3 on breakfast and $5.50 on lunch every school day. How much does he spend on breakfast and lunch in a school week?

Answers

Answer

42.5 is the answer

Step-by-step explanation:

this question has several steps. Derek goes to school 5 days a week. Add 5.50 and 3 together and multiply it by 5.

5.50 + 3= 8.50

8.50 × 5= 42.5

Which ordered pair is a solution for both ?

Answers

Answer:

(2, 9).

Step-by-step explanation:

You can plug the values into the equations and they would work.

The amount of water in a pool varies directly with the amount of time it is filling up. The pool has 2,900 liters of water after 15 seconds. How many liters of water will the pool contain after 45 seconds?

Answers

Answer: 24kg

Step-by-step explanation:

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