The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
Can someone help me with these problems and explain them as well please
Answer:
b=112°
Step-by-step explanation:
two complementary angles
b=180°-68°=112°
sum of 2 angles is
x= 35°+25°=60°
Answer:
3. b=112
4. x = 60
Step-by-step explanation:
3.
b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.
4.
35+25 = 60, therefore x = 60.
How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!
The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)
Find the measure of DAE
Can someone help me out with these few problems 1,3,4,6,7,10,12,15
Please only reply back if you really are trying to help me please no spam
I would really appreciate it
Answer:
Step-by-step explanation:
1) the complete squares of the picture are 12, if we unite the other we can reach 15 squares circa
15 * 50 = 750 square units
3) Area = base x height = 12 * 9 = 108 cm^2
4) Area = (base x height)/2 = (24 * 16)/2 = 192 in^2
6) Area of the square = side ^ 2 = 12^2 = 144 cm^2
height of the triangle = 20 - 12 = 8 cm
Area of the triangle = (base x height)/2 = (12 * 8)/2 = 48 cm^2
Total area = 144 + 48 = 192 cm^2
7) radius = diameter / 2 = 20 : 2 = 10 cm
circumference = radius * 2 * pi = 20 * pi = 62.8 cm
area = radius^2 * pi = 100 * pi = 314.2 cm^2
10) √25 = 5
we have to find a positive number that multiply by itself gives 25
12) √100 = 10
we have to find a positive number that multiply by itself gives 100
15) √64 = 8
we have to find a positive number that multiply by itself gives 64
a, I see, you split the workload :D
this answer is just a greeting,making you able to choose a brainliest.
if someone leaves a greeting in the other topic, it works there to. :D
solve for X and Y. be sure to solve for both.
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
I need to find the area
Answer:
781
Step-by-step explanation:
you need to separe the two shapes, find the area of both, then add
Answer:
Hello! answer: 781
Step-by-step explanation:
There's multiply ways to solve this but What im going to do is find the area of the whole thing as if it didnt have a huge chuck cut out of it then i will find the area of that separately and subtract so...
41 × 29 = 1189
29 - 12 = 17
17 × 24 = 408
1189 - 408 = 781 therefore the area is 781 Hope that helps!
In the month of agust, joes snack shack sold 400 sandwiches. If 40% of them were made with chicken, how many chicken sandwiches were sold?
Answer: 160 chicken sandwiches were sold.
To convert a percentage into a decimal, move the decimal two places back.
40%=0.40, or 0.4
This means that 0.4 is still equivalent to 40%
Remember that "of" means multiplication.
So 0.4*400=160
160 chicken sandwiches were sold
The equation of the line that has a slope and passes through the point (-1, -3) is 3x + 2y +3 = 0.
Answer:
below
Step-by-step explanation:
that is the procedure above
I know how do it but the fraction is confusing me please help will give branliest
Replace x and y in the equation with what they tell you x and y equal.
2(14) / 13 - 9(1/3)
Now simplify:
2 x 14 = 28
9 x 1/3 = 3
You now have:
28/13-3
Simplify again to het 28/10 this can be reduced to 14/5
Can someone help I’m confused
Answer:
D and E
Step-by-step explanation:
Let's double check:
D. 9 ÷ 3 = 3
E. 4 × 9 = 36
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Have a great summer :)
Answer:
the answers would be A, D, and E
Step-by-step explanation:
just replace the Cs with the number 9 and solve from there.
for example c/3=3 would say 9/3=3
what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater
Answer:
29,800
Step-by-step explanation:
that will be 149 x 2 which equals 298
149
×2 Multiply 9 × 2 = 18
------ Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1
298
Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)
Final answer: 29800
Help plz..And No links!! I repeat No links!!
Answer:54 is the54 d
Step-by-step explanation:
no sorry
Use pascal triangle to expand and simplify (5x+4y)³
Answer:
125x³+240xy²+64y³ +300yx²
Step-by-step explanation:
Row of pascals triangle to use is 1 3 3 1
For binomial expansion, use a³ +3a²b+3ab²+b³
8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm2
A rod 123.75 cm long is sawn into 16 equal lengths. If a wastage takes place of ¼ cm for each saw cut, what is the length of each piece?
Answer:
7.5 cm
Step-by-step explanation:
A rod 123.75 cm long is sawn into 16 equal lengths.
The length of each rod is calculated as:
123.75cm/16 =
= 7.734375cm
If a wastage takes place of ¼ cm for each saw cut,
The length of each piece is calculated as:
7.734375cm - 1/4 cm
7.734375cm − 0.25 cm
7.484375cm
Approximately = 7.5 cm
Therefore, the length of each piece = 7.5 cm
Help me please!!!!!!!!!!!!!
Answer:
The answer is 70 ways.
Step-by-step explanation:
8C4 = 70.
40320/576 is equal to 70.
I need this answer quickly
9=5-x÷2
x=23
23-5=18÷2=9
Can someone help me please TwT
5 oranges cost $2. Find the cost of 20 oranges.
===================================================
Work Shown:
(5 oranges)/(2 dollars) = (20 oranges)/(x dollars)
5/2 = 20/x
5x = 2*20 .... cross multiply
5x = 40
x = 40/5 .... dividing both sides by 5
x = 8
20 oranges cost $8
--------------
Another way to approach the problem is to note that the jump from "5 oranges" to "20 oranges" is "times 4".
5*4 = 20
So we'll apply the "times 4" operation to the old cost of $2 to get the new cost being 2*4 = 8 dollars
Answer:
$8
Step-by-step explanation:
if 5 oranges cost $2 then 1 orange costs 2/5 of a dollar, or 40 cents
20 oranges multiplied by 40 cents is $8
or you can set up a proportion:
2/5 = x/20
cross-multiply to get:
5x = 40
x = 8
Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
A. 2x+ 1
B. 3x-5
C. 4x-1
D. 4x+6
Solve the equation of 5(3−4)=8+15
Answer:
-5 ≠ 23
Step-by-step explanation:
5(3−4)=8+15
5(-1) = 8 + 15
-5 = 23
-5 ≠ 23
The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.
Write and solve an equation to find the number n of pages in the geometry book.
Answer: An equation is *629 = n - 99. The geometry book has 728 pages*
Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.
Hope this helps! :)
Molly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
2. R10 000 is invested for two years at 8% per year compounded quarterly
a) Calculate the value of the investment after two years.
b) Determine the Interest earned by the investment.
Drag the correct word and the appropriate value to the box with each given interval
Answer:
this answer is for functional value only
Any answers for this question
Step-by-step explanation:
hear is your both answer
The dimensions of triangular prom are shown in the diagram
10 cm
10 cm
cm
34 cm
-12 cm
What is the total surface area of the triangular prism in square centimeters?
A 1,184 sq cm
B 1,632 sq cm
C 3,264 sq cm
D 32,640 sq cm
Answer:
1,184 sq cm
Step-by-step explanation:
Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12
= 1,184 sq cm
Hope this helps!
1. Find the value of x to the nearest tenth
A. 8.1
B. 7.5
C. 8.9
D. 7.9
Answer:
C.
[tex]x = 2( \sqrt{ {6}^{2} - {4}^{2} } ) \\ x = 2( \sqrt{20} ) \\ x = 8.9[/tex]
Question is due soon I need help
Answer:
looks like C is best guess