In a certain fraction, the denominator is 4 larger than the numerator. If 2 is added to both the numerator and the denominator,the result is 3\5. Find the original fraction. PLS ANSWER
Answers
Step-by-step explanation:
Here you go, I tried my best
cheers
The original fraction is [tex]\frac{4}{8}[/tex]
Let the numerator = a
Let the denominator = b
Denominator is 4 larger than the numerator: b = a + 4
2 is added to both the numerator and the denominator: (a + 4 +2) and a + 2
The algebraic equation from the given statement is formed as follows;
[tex]\frac{a+ 2}{a+4+2 } = \frac{3}{5} \\\\\frac{a+ 2}{a + 6} =\frac{3}{5} \\\\5(a + 2) = 3(a + 6)\\\\5a + 10 = 3a + 18\\\\5a - 3a = 18 -10\\\\2a = 8\\\\a =4[/tex]
The original fraction is calculated as follows;
[tex]\frac{a }{a +4} = \frac{4}{4+ 4} = \frac{4}{8}[/tex]
Thus, the original fraction is [tex]\frac{4}{8}[/tex]
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Related Questions
Help me please ?!!!!
Answers
Answer:
The slope of the line is -1
Step-by-step explanation:
Slope of a Line
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table in the image, we select the points (1,4) (3,2). The slope is:
[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]
Now select two other points like (5,0) (7,-2)
[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answers
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
completely factor: 4t + 2rt + 8st
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I hope this helps
Answer:
2t(2 + r + 4s)
which system of linear inequalities is represented by the graph
Answers
Answer:
WOAH CALM DOWN JAMAL
Step-by-step explanation:
Answer:
y < x-2 and y > x+1
Step-by-step explanation:
Suzy went to a department store and brought 3 pairs of shoes. The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair. The third pair of shoes were $5 more than the first pair. She paid with a $100 bill and got $3 in change. How much did each pair of shoes cost?
Answers
Answer:
Cost of first pair shoe = a = $23
Cost of second pair shoe = b = $46
Cost of third pair shoe = c = $28
Step-by-step explanation:
Let
Cost of first pair shoe = a
Cost of second pair shoe = b
Cost of third pair shoe = c
The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.
b = 2a......... Equation 1
The third pair of shoes were $5 more than the first pair.
c = a + 5...... Equation 2
She paid with a $100 bill and got $3 in change.
a + b + c = $100 - $3
a + b + c = 97........... Equation 3
Substitute 2a for b and a + 5 for c in Equation 3
a + 2a + a + 5 = 97
4a = 97 - 5
4a = 92
a = 92/4
a =$23
The cost of the first pair of shoe = $23
b = 2a......... Equation 1
b = 2($23)
b = $46
The cost of the second pair of shoe = $46
c = a + 5...... Equation 2
c = $23 +$5
c = $28
The cost of the third pair of shoe = $28
4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I
Answers
Answer:
this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.
Step-by-step explanation:
X=adults
Y=children
I only know to make these two equations from experience doing these types of questions.
X+Y=800
7X +5Y=4600
there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract the 2nd from that whole equation.
7(X +Y=800)
7X +7Y = 5600
-(7X +5Y =4600)
0X +2Y = 1000
Y = 500 ( 500 children went to the movies )
by inspection you can probably see that 300 adults had to go too
500 kids
300 parents
also that's 4600 dollars to let those people in
7(300) + 5(500) = 4600
2100 + 2500 = 4600
How many gallons of water are in a 2 gallon pitcher that is 3/4 full?
Answers
Answer:
1.5 gallons
Step-by-step explanation:
2 x 0.75
1.5 gallons
Brainliest appreciated!
Answer:
1.5 gallons
Step-by-step explanation:
1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.
NEED HELP ASAP
SOLVE FOR V
ryv-tu=w
Answers
Answer:
v= w/ry+tu/ry
Step-by-step explanation: Isolate the variable then Divide each side by the factors that don't contain the variable.
8. A department store purchases a coat for $95 To sell the coat to customers, the price is increased by 27°. What is the new price of the coat? [A] $25.65 [B] $69.35 (C) $161 35 - [D] $12065
Answers
Answer:D
Step-by-step explanation:
$120.65 is the new price of the coat.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
A department store purchases a coat for $95
To sell the coat to customers, the price is increased by 27%
So, the new price of the coat = $95+ $95*27%
=$120.65
Hence, $120.65 is the new price of the coat.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
I need major help !!
Answers
Answer:
44 degrees
Step-by-step explanation:
The sides are even so there gonna be the same all around...please give brainlist!
Which word signals a sequence text structure?
both
finally
similarly
since
Answers
Answer:
its finally sorry it tooke so long
Step-by-step explanation:
Answer:
The answer is finally.
Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.
help x/8 = 8/64
x=
Answers
Answer:
x=1
Step-by-step explanation:
x=1
1/8
multiply the denominator and numerator by 8, and it will match 8/64
x=1
1/8
It would match 8/64
The Flynns’ monthly budget allowed them to spend $555 for household expenses. During June and July they had a room in their home remodeled and spent a total of $2,035 for household expenses. By how much did they overspend?
Group of answer choices
$925
$897
$675
$1,200
Answers
write the fraction 18/24 in its simplest form
Answers
Answer:
3/4
Step-by-step explanation:
Divide the numerator and the denominator by the greatest common factor of 18 and 24, 6.
[tex] \frac{18}{24} [/tex]
[tex] \frac{18 \div 6}{24 \div 6} [/tex]
[tex] \frac{3}{4} [/tex]
Plz help me
Thank you
Answers
Answer:
^^ so the formula is y=mx+b.
b is the y intercept, the slope is the mx part.
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 35 °
F. The temperature increases by 20 °
F per minute, x, when being heated.
The equation is y =
Answers
Answer:
x
Step-by-step explanation:
Plsssss helppppp y-27 greater than or equal to -13
Answers
Answer:
y-27 >= -13
Step-by-step explanation
you are finding y, so you will leave the y and convert the 27 into a positive 27.
y >= -13 + 27
Once that is done, simplify.
-13+27 = 14
so your answer will be:
y>14
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SAS
B. ASA
C. AAS
D. SSS
Answers
Answer:
ASA Postulate
Step-by-step explanation:
It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.
Answer:
B. ASA
Step-by-step explanation:
We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.
-4x + 6(4x -3)= -8 help im timed
Answers
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Write equation
-4x + 6(4x - 3) = -8
Step 2: Solve for x
Distribute 6: -4x + 24x - 18 = -8Combine like terms: 20x - 18 = -8Add 18 to both sides: 20x = 10Divide both sides by 20: x = 1/2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -4(1/2) + 6[4(1/2) - 3] = -8Evaluate: -2 + 6[2 - 3] = -8Evaluate: -2 + 6(-1) = -8Evaluate: -2 - 6 = -8Evaluate: -8 = -8
PLEASE HELP ME!!
Which estimation technique will yield a solution that is the farthest from the actual product of (-14.89)(1.35)
A) front-end estimation
B) rounding to the nearest tenth
C) rounding to the nearest whole number
D) compatible numbers
Answers
Answer:
C sorry if im wrong
Step-by-step explanation:
its what i think
Answer:
A. front-end estimation.
Step-by-step explanation:
I got it right on the test. It'd be appreciated if this was marked as brainliest.
If Courtney paid a total of $27.93 to download songs, which includes $2.06 for tax, how many songs did she download at a cost of $1.99 per song?
Answers
Answer:
13 songs.
Step-by-step explanation:
$27.93 - $2.06 = $25.87 in order to get the price of the songs before the tax.
Since each song cost $1.99, $25.87 divided by $1.99 is equal to 13
Answer:
13 songs
Step-by-step explanation:
The total cost of the songs is $27.93, including the tax. The tax cost should be removed from the total cost to find how many songs Courtney downloaded because she didn't pay $2.06 for the songs.
[tex]27.93 - 2.06 = 25.87[/tex]
The cost of all the songs is $25.87. Each one costs $1.99 so, to find how many songs she bought, the cost of each song should be divided from the total cost.
[tex]25.87 \div 1.99 = 13[/tex]
2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360
Answers
Answer:
360
Step-by-step explanation:
the intirior angles equals 180 so ttthe outside have to equal 360
if Sam has 200$ and gives her mom 20$ to go get her some clothing. her mom comes back and gives Sam 9$. how much did her mom spend?
Answers
Answer:
her mom spent 11 dollars
Step-by-step explanation:
20-9 is 11
Answer:
Her mom spent $11
Step-by-step explanation:
$20-9= $11
What is one punch mans real name?
A. Mogi Hata
B. Saitama
C. One punch man
D. Jerihalomni
Answers
Answer:
It's saitama, I love one punch man so much lol
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answers
Answer:
V= 5 X=6
Step-by-step explanation:
NEED HELP PLEASE BEGGING PLEASE!!!!
Answers
Answer:
-54
Step-by-step explanation:
[tex]8(-9) - 6(-3)\\[/tex]
Multiply 8 by -9 and 6 by -3
[tex]-72 - (-18)[/tex]
Subtract[tex]Value = -54[/tex]
Hope this helps
plz mark brainliest
does anybody know how to solve this equation 5+3∣10−4x∣=20
Answers
x = 5/4 or x = 15/4
Step-by-step explanation:
7+root 3 divided by 7-root 3
Answers
7 - root3 = 5.26
Thus
8.73/5.26 = 1.659
I WILL GIVE YOU BRAINLIEST IF YOU GIVE AN ACTUAL ANSWER
If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.
Answers
Answer:
Step-by-step explanation:
You could make 8 different ways
24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1
the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27
Answers
Answer:
the room square side is 4.8m
Area of the room is= 4.8=²23.04²m
perimeter of square tiles=4a =1.2
a=1.2/4
or a=o.3m
area of the square tiles =0.3²=0.09m²
numbers of the tiles are rcover floor of the room
23.0.4/0.09=256
each tiles cost Rs 27
the total cost=256*27=6912
the th coalst cover by the th floor is Rs .6912