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
Hadley earned 8 more points on her test than Adam earned. Their points add up to 162. How many points did each student earn ?
Answers
Answer:
Adam - 77 / Holly - 85
Step-by-step explanation:
x + (x + 8) = 162
2x + 8 = 162
2x = 154
x = 77
x = Adam
x + 8 = Holly
Therefore, Adam - 77 / Holly - 85.
6.25 x 10^-2 in standard notation
Answers
Answer:
0.0625x
Step-by-step explanation:
Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).
O f(x) = 3r+1
O f(x) = 3x - 1
O f(x) = &r + 10
O flac) = 8x - 10
Answers
Answer:
y = 3x - 1
Step-by-step explanation: All you have to do here is solve the equation for y. When you add 5 to both sides, you are left with 3(x-2) + 5. Now, you just have to open the parentheses, giving you 3x-6+5, or 3x-1.
The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls from a height of 125 feet, estimate how long it will take to reach the ground
Answers
Answer:
it would take 14mph
Step-by-step explanation:
A function assigns the values. The time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet.
Now, in order to calculate the time, it will take for the rock to fall from the height of 125 feet, simply substitute the height of the rock from which it is dropped in the formula given.
Therefore, the time it will take for the rock to reach the ground from a height of 125 feet is,
t = √h / 4
t = (√125) / 4
t = (5√5) / 4
t = 2.795 seconds
Hence, the time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.
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A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has how many seats
Answers
Answer:
The equation x + (2 x + 40) + (3 x - 50) = 15,002 represents this scenario suitable.
Step-by-step explanation:
Hope it helps :)
I know I'm answering all your questions it's just bc I'm bored
Write 3x --1 + 5x + 7 in simplest form.
Answers
Answer:
8x+6
Step-by-step explanation:
Which point lies on the line that passes through the
point (9,-5) and has a slope of -6?
Answers
Answer:
y=5
Step-by-step explanation:
I am pretty sure that is the answer but dont rely completely on me
What is the final price of a $125 jacket that is on sale for 35% off?
Answers
Answer:
$81.25
Step-by-step explanation:
first change the percent into a decimal by moving the point 2 spaces to the left. then multiply that decimal by the asnwer to see how muhc money she's getting off. Finally subtract the total by that number.
NEED HELP ASAP!! convert 287 cm to inches
Answers
287 centimeters is 112.992 inches
Answer:
112.992
Step-by-step explanation:
divide the length value by 2.54.
Your student class council needs $600 for the Winter Dance. With only $210 in their treasury, the council decided to raise the rest by selling donut coupons for a profit of $1.50 per dozen. Write and solve an equation to find how many donut coupons they will need to sell
Answers
Answer:
$390
Step-by-step explanation:
Need: 600
Have: 210 600-210=390
HELP ASAP PLEASE!!!
what is the equation of the line that passes through the points (11, - 4) and (13,- 7) in slope-intercept form?
answer choices shown in picture
Answers
Answer:
E. None of these
Step-by-step explanation:
Points: (11, -4), (13, -7)
slope = m = (y2 - y1)/(x2 - x1) = (-7 - (-4))/(13 - 11) = (-7 + 4)/2 = -3/2
y - y1 = m(x - x1)
y - (-4) = (-3/2)(x - 11)
y + 4 = (-3/2)x + 33/2
y + 8/2 = (-3/2)x + 33/2
y = (-3/2)x + 25/2
Answer: E. None of these
Step-by-step explanation:
A(11,-4) B(13,-7)
x1 y1 x2 y2
y=mx+c
-4=11m+c -(i) -7=13m+c -(ii)
Subtract equation (ii) from (i)
-7=13m+c
-4=11m+c
+ - -
-3=2m
2m=-3
m=-3/2
put m=-3/2 in equation (ii)
-7=13*(-3/2)+c
c=-7+39/2
c=(-14+39)/2
c=15/2
y=mx+c
y=-3/2x+15/2
y=(-3x+15)/2
2y=-3x+15
2y+3x-15=0
1.(03.01 LC)
Which of the following sets represents the range of the function shown? (5 points)
{(-3, 4), (5, 11), (9, -1), (10, 13)}
{-3, 5, 9, 10}
O {-1, 4, 11, 13}
{(4, -3), (11, 5), (-1, 9), (13, 10)}
{-3, -1, 4, 5, 9, 10, 11, 13}
HELP ME
Answers
Answer:
-1, 4, 11, 13
Step-by-step explanation:
the range of the function is the y values in this scenario, which are the second numbers of the original points given
32º+ 20 + 5x+ 4x - 1. Find x.
Answers
Answer:
32°+20+9x-1
collect like terms
32°+20-1+9x
32+18+9x
50=9x
divide both side by 9
5.6
1 significant figure
=6
In July, the average temperature in one US city was 29 degrees by December, the average temperature had fallen by 29 degrees. Explain why the average temperature in December was 0 degrees.
Answers
Step-by-step explanation:
In July, it was positive 29 degrees, but in December it was negative 29 degrees. When you have 29-29 you get 0. Hope that helped
Answer:
Sample Response: The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.
Step-by-step explanation:
my teacher told me to answer this it got complicated for me
Answers
Answer:
SOLUTION FOR A:
YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR
SOLUTION FOR B:
MULTIPLY TO REMOVE THE VARIABLE FROM THE DENOMINATOR
THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS
yk i just rlly wanted to type in caps-
Can someone help me with this? I’m genuinely confused it’s been three hours and no one helped me :(
Answers
Answer:
wddfgfgjgfccvnjjxcvbfx bff
Answer:
as attached image shows
Step-by-step explanation:
11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). 17 - 3(w + 5) = 6(w + 5) - 2w 1). Given
2). 17 - 3w - 15 = 6w + 30 - 2w 2). Distributive property
3). -3w + 2 = 4w + 30 3). Addition property of equality
4). -7w + 2 = 30 4). Subtraction property of equality
5). -7w = 28 5). Subtraction property of equality
6). w = -4 6). Division property of equality
Solve inequality 5-3(4x-5)<32
Answers
Answer: x > -1
Step-by-step explanation:
1) Subtract 5 from both sides
-3(4x - 5) < 27
2) Divide both sides by -3 (Remember to change the inequality sign to face the other way, because you have multiplied/divided by a negative number)
4x - 5 > -9
3) Add 5 to both sides
4x > -4
4) Divide by 4 on both sides
x > -1
Veronica takes of an hour to write of a page of calligraphy.
How long will it take Veronica to write one page of calligraphy?
Answers
Using proportions, it is found that it will take Veronica 4/3 of an hour to write one page of calligraphy.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, it is found that she takes 1/3 of an hour to write 1/4 of a page of calligraphy. How long it takes her to write a page?
The rule of three is:
1/3 hour - 1/4 page
x hours - 1 page
Applying cross multiplication:
[tex]\frac{x}{4} = \frac{1}{3}[/tex]
[tex]x = \frac{4}{3}[/tex]
It will take Veronica 4/3 of an hour to write one page of calligraphy.
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-5X - 8y = 3
6x + 3y =3
Solve using elimination ?
Answers
Answer:
for the first one its x=30
for the second one its x=6
Step-by-step explanation:
its x=30 because at the end if you do the problem yourself, you would have to multiply 5×6 which is 30.
im not sure why its x=6 on that one i might be wrong but i did it but im also confused on it but i tried so yeah maybe it is.
What’s mean by report this answer
Answers
Answer:
Like make it bad.Its offensive
Step-by-step explanation:
Eve Marie used the table to describe a list of numbers. How should she fix the table?
Number
Rational
Integers
Whole
Counting
0.258
х
0
X
x
X
х
-45
X
X
4
15
Х
F 0.258 is also an integer, and should have an X placed in that column as well.
GO is not a counting number, and should not have an X in counting number column.
H-45 is also a counting number and should also have an X in the counting number
column.
3 The table is correct, theſe is no need to change it.
Answers
Answer:
your answer would be g
Step-by-step explanation:
bruh someone helpp ffs
Answers
Answer:
Step-by-step explanation:
B ruh????????
The square root of 15 is in between what 2 whole numbers?
Answers
Square root of 15 is 3.872
The square root of 15 is between 3 and 4.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that the square root is 15. The value of the square root of 15 is calculated as,
The square root of 15 is 3.872.
Therefore, the square root of 15 is between 3 and 4.
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Name the property that the statement illustrates.
If ZABC - ZDEF and ZDEF ZGHI, then ZABC - ZGHI.
Answers
Answer:
Transitive property
Step-by-step explanation:
It statea that if a=b and b=c, then a=c.
Solve this system of equation without graphing.
5x + 2y = 29
5x - 2y = 41
Answers
Answer: Solving we get x=7 and y= -3
Step-by-step explanation: We need to solve the following systems of equations:
Let:
Adding eq(1) and eq(2)
So, value of x=7
Putting value of x in eq(1) to find value of y:
So, value of y = -3
So, Solving we get x=7 and y= -3
Keywords: Solving system of Equations
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Determine the range from the set of ordered pairs
Answers
Answer:
2nd option
Step-by-step explanation:
range is all the outputs
Convert 75 seconds to hours
Answers
WHAT DIS IZ MANE!!!!
Answers
Answer:
use symbolab ion feel like doin it but itll
get u the correct answer
if length of the square is 7-x and width is 19-3x then what is the value of x
Answers
7-x-19=-3x
-x-12=-3x
-12+x=-3x+x
-12=-2x
6=x