Let the original fraction be
[tex]\dfrac{n-1}{n}[/tex]
Now let's increase both numerator and denominator by 2:
[tex]\dfrac{n+1}{n+2}[/tex]
This produces a 1/12 increase:
[tex]\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}[/tex]
The left hand side can be rearranged as
[tex]\dfrac{2}{n^2+2n}=\dfrac{1}{12}[/tex]
Invert both sides:
[tex]\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24[/tex]
Solve the quadratic equation:
[tex]n^2+2n-24=0 \iff n=-6 \lor n=4[/tex]
So, in the first case, the original fraction is
[tex]\dfrac{n-1}{n}=\dfrac{-6-1}{-6}=\dfrac{7}{6}[/tex]
In the second case, we have
[tex]\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}[/tex]
Write an expression to describe a number x increased by 10
Answer:
x+10
Step-by-step explanation:
increased = + so x+10
HOpe this helps plz hit the crown :D
answer please !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
x = 67
Step-by-step explanation:
180 - 113 = 67
Answer:
x=67 degrees
Step-by-step explanation:
113+x=180--->linear pair
x=67--->subtractioin property
15 – (3 + 4) + 7 x 2 – 3 2
Answer:
-10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
15 - (3 + 4) + 7 × 2 - 32
Step 2: Evaluate
(Parenthesis) Add: 15 - 7 + 7 × 2 - 32Multiply: 15 - 7 + 14 - 32Subtract: 8 + 14 - 32Add: 22 - 32Subtract: -10someone help me please
Answer:
The answer is B
Step-by-step explanation:
The solution is -3 by the way
Can somebody please help me with this question
Answer:
B
Step-by-step explanation:
triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'.
Answer: (x,y) —> (x-6, y+4)
Step-by-step explanation:
Answer:
(x,y) —> (x-6, y+4)
Step-by-step explanation:
:)
Blockbuster Video charges $3 to a rent a video, plus an additional $2 for every day that the video is late. Which equation can be used to represent the fee that a customer pays for the video based on the number of days that the video is late?
y = 3 + 2
y = 3x + 2x
y = 2x + 3
y = 3x + 2
y = 3(2x)
Answer:
y=2x+3
Step-by-step explanation:
the normal charge is 3 + 2 x number of days so this equation is the correct one.
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
Madeline drives 15 miles in 12 minutes. If she drove three hours in total at the same rate, how far did she go?
Before you try that problem, answer the question below.
How many minutes did Madeline drive in total?
Answer:
225 miles in total
Step-by-step explanation:
At Irtaza's Deli he is selling 7 oranges for $5.99 and Brianna's Food Mart is selling them 10 for $8.99. Where would you go shopping and why?
Answer:
At Irtaza's Deli
Step-by-step explanation:
For this you should find the unit price and whichever is less is where you should go.
(1) Irtaza Deli:
First I would round the 5.99 to 6 then we'll do 6 divided by 7.
[tex]\frac{6}{7}=.8571428571=.86[/tex]
(2) Brianna's Food Mart:
First I would round the 8.99 to 9 then we'll do 9 divided by 10.
[tex]\frac{9}{10}=.9[/tex]
Now let's compare:
So the first store sells oranges for $.86 and the second store sells them for $.90. I don't know about you but I would go to the first store they would be much more cheaper.
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answer:
It is 4x + 12
a rectangular prism is 5 in Long 8 inch wide and 10 inches tall what is the length of its longest diagonal
In comparison to 2/3 where would 4/6 on number line
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction numbers are given below.
2/3 and 4/6
Convert the fraction into the simplest fraction, then we have
4 / 6 = 2 / 3
The fraction numbers 2/3 and 4/6 will lie on the same point on the number line.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ5
The point-slope form of a line that has a slope of 3 and passes through point (6, 0) is shown below.
Answer:
Step-by-step explanation:
its the second one
u gotta add zero to the other side to isolate the y which would give you
y = [tex]\frac{2}{3}[/tex]x - 6
I hope this helps :)
Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.
1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
Answer:
1 a
Use the midpoint formula:
m=x1+x2/2, y1+y2/2, z1+z2/2
m= 4+6/2 ,8+12/2, 2+10/2
m= (5 ,10, 6)
Step-by-step explanation:
A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 ft wide on all sides. The length of the sandbox is 4 ft more then width, and the total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.
Answer:
Dimensions:
Length = 13.256m
width = 9.256m
Step-by-step explanation:
Let the length of the sandbox be = l and its width be = w
The length of the sandbox is 4 ft more than the width.
This means that [tex]l = 4 + w[/tex] ----- equation 1
For the next step, we will be assuming that the strip of grass is a perfect rectangle. The length of the grass strip will be equals to the length of the sandbox.
Area of the grass = length X width = [tex](4 +w) \times 5= 5(4+w)[/tex]------ equation 2
The total area for the sandbox and the grass is 189 square feet.
This means that
[tex](w \times (4+w)) + 5(4+w)=189\\w^2+4w+20+5w=189\\w^2+9w-169=0\\w=9.256m[/tex]
(Kindly note that the positive value for the width was chosen as length cannot be negative).
Now that we have our width, we can put this into equation 1 to get the length.
[tex]l=9.256+4=13.256m[/tex]
PLS HELP WILL GIVE BRANLIEST PLUS 15 POINTS
Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you
Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
what are the like terms in this exspression 9a-3b + 4ab
Answer:
none of these terms are like terms
Answer:
there is no like terms in this expression
Step-by-step explanation:
there is "a", "b" and "ab"
you cant combine anything because they are all different
Hope this helps!!
PLZ HELP ITS URGENTTTT FIRST TO ANSWER WILL BE BRAINLIEST
3x³y²/9xypower 5
Approximately 60 percent of municipal solid waste in the United States is composed of some form of organic matter that could be composted. Every American generates approximately 2 kg of waste every day. The amount of compostable waste that could be generated by one individual in a week would be closest to
Answer:
8.4 kg
Step-by-step explanation:
First, find how much waste is created in a week:
Multiply 2 by 7, since they create 2 kg of waste each day:
2(7)
= 14 kg
Then, find 60% of this:
Multiply 14 by 0.6:
14(0.6)
= 8.4
So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg
The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage
Where:
Kg of waste=2kg
Number of days in a week=7 days
Municipal solid waste percentage=60% or 0.60
Let plug in the formula
Compostable waste amount=2kg×7 days×0.60
Compostable waste amount=8.4 kg
Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Learn more about compostable waste here:https://brainly.com/question/25342752
Marin spends 28% of her monthly income for a Loan payment. her loan payment is rupees 1,736. What is her monthly income?
Answer:
6200 rupees
Step-by-step explanation:
Think the monthly income x
According to the question
The equation is
x×28%=1736
x×28/100=1736
x=1736÷28/100
x=1736×100/28
x=62×100
x=6200
So monthly income is 6200 rupees
Answer:
[tex]6200\ Rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\[/tex]
[tex]\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\[/tex]
Tollowing:
a)
3x + 4 = 9.5
7 + 2x =
b)
= 5
See attachment for math work and answer.
*BRAINIEST & 25 POINTS*
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Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
a= -3i
g=2i - 1lj
Find: -a - g
Answer:
Step-by-step explanation:
Given:
a= -3i
g=2i - 1lj
Solve:
-a - g
If l is an L then
-(-3i) - (2i-1lj)
i + lj
If I is an i then
-(-3i) - (2i-1ij)
i + ji
A building has 17 floors of offices above ground and 5 floors below ground. Kaylea parks on the 4th floor below ground and has an office on the 15th floor. The ground floor is zero. How many floors must she go up from her car to her office?
Answer:
19 floors
Step-by-step explanation:
Let us consider the ground floor as 0 and the floors above it as positive and the floors below the ground floor as negative.
So, the floor in which she parked is -4 and the floor where her office is at +15.
The number of floors she has to climb is the absolute value of the difference of the two floors.
The number of floors she has to go up is [tex]|-4-15|=19[/tex].
Find the measure of each exterior angle of the regular polygon.
Answer:
30°Step-by-step explanation:
Sum of exterior angles of the regular polygon is 360°The pictured is 12-gon
Each exterior angle measures:
360°/12 = 30°Answer:
30 degrees
Step-by-step explanation:
(Sum=360)
360/12=30
(We got 12 because there are 12 sides in the polygon!)
Three bakers can each bake three
cakes in three hours. How many cakes can
8 bakers bake working at the same rate in
20 hours? Use the solve a simpler problem
strategy.
Answer:
i think its 20 cakes
Step-by-step explanation:
1 cake per hour
Solve x−5≥1. please help me quick
Answer:
x greater than or equal to 6
[6, infinity)
Step-by-step explanation:
x-5+5 greater than or equal to 1+5
Step-by-step explanation:
x=6
[tex]x - 5 \geqslant 1[/tex]
[tex]x - 5 + 5 \geqslant 1 + 5 [/tex]
[tex]x \geqslant 6[/tex]