Solve the proportion. I need to show much work so a step by step explanation would help!
Answers
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
ratio of 12/7 and 36/21
Answers
(5.3 x 10^3) - (8 x 10^2)
Answers
Answer:
800
Step-by-step explanation:
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:
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
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
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
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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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
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
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 :)
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
Answer:
It’s C
Step-by-step 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
Someone please help me
Answers
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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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.
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),
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)
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.
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Let me know if u want explanation buddy..
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
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)
Kamus luined 10 years old. Her mother is four times older than Kim.
How old is Kim's mother?
Answers
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
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
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
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
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:
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
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:
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
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