Answers
Answer:
A should be correct.
Step-by-step explanation:
Given, a = 1/2 and b = -1/3
First, let's solve the numerator. Then we have:
1/2 - 1/3
= 1/6
Since we found out our numerator, It is time to find out our denominator.
We have:
1/2 x -1/3
= -1/6
Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.
1/6 divided by -1/6 is equaled to -1.
Therefore, A should be correct.
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Answer:
A. -1
Step-by-step explanation:
1/2 + -1/3
-------------
1/2 x -1/3
First, make 1/2 and -1/3 have the same denominator
1/2 x 3/3 = 3/6
-1/3 x 2/2 = -2/6
Add
3/6 + -2/6 = 1/6
Multiply
1/2 x -1/3
1 x -1
-------
2 x 3
= -1/6
This makes the big equation
1/6
-----
-1/6
Simplify
1/6 / 1/6
-----------
-1/6 / 1/6
1/-1
or -1
Related Questions
expand the brackets (x+5)(3x-2).
Answers
Answer: 3x^2 +13x - 10
Step-by-step explanation:
(x+5)(3x-2) = x(3x-2) + 5(3x-2)
x(3x-2) + 5(3x-2) = 3x^2 - 2x + 15x - 10
3x^2 - 2x + 15x - 10 = 3x^2 + 13x - 10
Answer:
3x²+13x-10
Step-by-step explanation:
(x+5)(3x-2)x(3x-2)+5(3x-2)3x²-2x+15x-103x²+13x-10HELP PLS " A circle’s circumference is approximately 76 cm. Estimate the area of the circle"
Answers
Answer: if the circumference is 76 the area is 38
Step-by-step explanation:
tupac guarda monedas de coleccion en su alcancia tiene dos monedas de 10 pesos tres monedas de 5 pesos siete monedas de 0.50 pesos cinco monedas de 0.25 pesos y tres monedas de 0.10 pesos ¿cuanto denero tiene en total Me ayudan plis
Answers
Answer:
40.05
Step-by-step explanation:
multiplicas la cantidad de monedas por su valor:
2 monedas de 10 = 20
3 de 5 = 15
7 de 0.50 = 3.50
5 de 0.25 = 1.25
3 de 0.10 = 0.30
sumas lo multipicado:
40.05
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Correct answer please
Answers
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?
Answers
Answer:
15*4=60;60*3.5=210
Step-by-step explanation:
60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets
Answer:
answer is 1/4 × 3 1/2 =
3 1/8
If x2 = 30. what is the value of x?
Answers
Answer:
5.4772255750516 that's if it is x squared
Can someone tell me the answer to this?
Answer choice B is incorrect
Answers
Answer:
B) or C)
Step-by-step explanation:
What’s the answer to this question?
Answers
Answer:
x should equal 0
Step-by-step explanation:
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
Answers
Answer:
270.15
Step-by-step explanation:
Answer:
270.15
Step-by-step explanation:
u just add 52 and 18.72 and subtract it from 340.87
What is the least common denominator (LCD) of 13 and 34?
Answers
Answer:
442
Step-by-step explanation:
find tge equation of the line
Answers
Answer:
y = -2x + 9 or y = 9 - 2x
Step-by-step explanation:
First find the gradient
Pick two points on the graph, (4, 1) and (1,7)Find the change in y (7 - 1 = 6)Find the change in x (1 - 4 = -3)Divide the change in y by the change in x = 6 ÷ -3 = -2The gradient is -2: y = -2x + cNext, look at where the line intercepts (goes through) the y-axis: 9
The equation of the line is y = -2x + 9
Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.
Hope this helps!
Please help! I’ll mark your answer as brainliest. <3
Answers
Answer:
The width is: 11
The length is: 2
Step-by-step explanation:
The width is 5 feet longer than 3 times the length so
If the length is 2: 2 x 3 times = 6 plus the five = 11
The area of a rectangle is a = the width x the lenght
So 2 x 11 = 22 that is the area.
2x √3x+1
Find the derivative
Answers
3 3/2 x1/2
explanation:
download math-way it helps a lot
Answer:
3 3/2x1/2
Step-by-step explanation:
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answers
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
Kristal was writing 5,060 in scientific notation. She said that it was 5.6 x 10^3 do you agree or disagree
Answers
Answer:
I disagree
Step-by-step explanation:
It is 5.06 x 10^3
What do I put in the blank box? Could you also add step by step explanation? If you cant its fine :)
Answers
Answer:
its 34/5
Step-by-step explanation:
change that mixed fraction by simply multiplying 6×5 then add 4 you'll get 34 then place it over the denominator 5 =34/5........ hope it helps
Help please!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
6) At y-intercept , x = 0
So, y-intercept = 3
5) Slope = Change in y/ change in x
[tex]= \dfrac{3-1}{0-[-3]}\\\\= \dfrac{2}{0+3}\\\\= \dfrac{2}{3}[/tex]
find three fraction larger than√2 and less than√3
Answers
Step-by-step explanation:
the answer is in the image above
Solve for X Please show your work.
(x+3)/(x^2-9)=(2x+7)/(x^2+2x-15)
Thank you
Answers
No Links Please!!I Need Help (I'm Not a Fan Of Math)Thank You So Much If You Help Me Out Here =D
Answers
Answer: 24 boxes
Step-by-step explanation:
Answer:
Arianna can move 24 boxes
5
3:5
256 fluid ounces
Step-by-step explanation:
In the year 2010, a company made $3.2 million in profit. For each
consecutive year after that, their profit increased by 11%. How much would
the company's profit be in the year 2013, to the nearest tenth of a million
dollars?
Answers
Answer:
result is $6432.00 | 221.43
Find the missing angle measures. Be sure to show your work in arriving at your answers.
Please help urgently thank you,
Answers
Answer:
k=50º
m=90º
Step-by-step explanation:
a line is 180º total
so 130+k=180
k=50
a triangle also is 180º total
so 180-40-k=m
180-40-50=m
90=m
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
Answers
The spider's movement is an illustration of a parabola.
The equation of a parabola is: [tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]The focus of a parabola is: (40,-30)The axis of symmetry is: [tex]\mathbf{x = 40}[/tex]The directrix is:[tex]\mathbf{y = 50}[/tex](a) The equation
The spider passes through the origin.
So, we have:
[tex]\mathbf{(x,y) = (0,0)}[/tex]
The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:
[tex]\mathbf{(h,k) = (40,10)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(0 - 40)^2 + 10}[/tex]
Subtract 10 from both sides
[tex]\mathbf{a(0 - 40)^2 =- 10}[/tex]
[tex]\mathbf{1600a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{160}}[/tex]
Substitute [tex]\mathbf{a =- \frac{1}{160}}[/tex] and [tex]\mathbf{(h,k) = (40,10)}[/tex] in [tex]\mathbf{(h,k) = (40,10)}[/tex]
[tex]\mathbf{y = -\frac{1}{160}(x - 40) + 10}[/tex]
(b) The focus, directrix and the axis of symmetry
The focus of a parabola is:
[tex]\mathbf{Focus= (h, k + p)}[/tex]
Where:
[tex]\mathbf{p = \frac{1}{4a}}[/tex]
So, we have:
[tex]\mathbf{p = \frac{1}{4 \times -1/160}}[/tex]
[tex]\mathbf{p = -\frac{160}{4}}[/tex]
[tex]\mathbf{p = -40}[/tex]
So, we have:
[tex]\mathbf{Focus = (40,10-40)}[/tex]
[tex]\mathbf{Focus = (40,-30)}[/tex]
The axis of symmetry is:
[tex]\mathbf{x = h}[/tex]
So, we have:
[tex]\mathbf{x = 40}[/tex]
The directrix is:
[tex]\mathbf{y = k - p}[/tex]
[tex]\mathbf{y = 10 + 40}[/tex]
[tex]\mathbf{y = 50}[/tex]
Read more about parabolas at:
https://brainly.com/question/25237745
Solve. 3/4x + 6 = 33
explain the work please :,)
Answers
Answer:
x=36
Step-by-step explanation:
first take six away from both sides to get 3/4x=27
then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33
3/4x+6=33
We move all terms to the left:
3/4x+6-(33)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We add all the numbers together, and all the variables
3/4x-27=0
We multiply all the terms by the denominator
-27*4x+3=0
We multiply elements
-108x+3=0
We move all terms containing x to the left, all other terms to the right
-108x=-3
x=-3/-108
x=1/36
I hope this helps :)
Is (10^-2)3 = (10^-3)2 the same?
Answers
Answer:
i think it is same let me know
A formula used for calculating velocity is v=1/2at^2 what is a expressed in terms of v and t
Answers
Answer:
[tex]v = \frac{1}{2} a {t}^{2} \\ a = \frac{2v}{ {t}^{2} } [/tex]
'a' can be expressed in terms of 'v' and 't' as -
[tex]$a=\frac{2v}{t^{2} }[/tex]
We have the following expression -
[tex]$v = \frac{1}{2} at^{2}[/tex]
We have to express → a in terms of v and t.
What is the value of x in -Sin([tex]2n\pi x[/tex]) = 0.785?On solving, we get -
Sin([tex]2n\pi x[/tex]) = 0.785
Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])
2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]
x = [tex]$\frac{1}{8n}[/tex]
According to the question, we have -
[tex]$v = \frac{1}{2} at^{2}[/tex]
[tex]$a=\frac{2v}{t^{2} }[/tex]
Hence, 'a' can be expressed in terms of 'v' and 't' as -
[tex]$a=\frac{2v}{t^{2} }[/tex]
To solve more questions on Rearranging expressions, visit the link below-
brainly.com/question/8864600
#SPJ2
Find the unknown sizes of angles in the following figure:
Answers
Answer:
angle x is 86
angle y is 38
Step-by-step explanation:
are my choices correct?
pls check math geniuses!!
Answers
X would be 10, and 2 because:
(10-10) = 0 and (2-2) = 0
The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.
Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.
Mellie is playing a bowling game at an arcade. She rolls two balls into the 30 point hole four balls into the 20 point hole and three balls into the 50 point hole. Write and evaluate an expression to find mellies total score.
Answers
Answer:
290
Step-by-step explanation:
30x2 + 20x4 + 50x3
Hope this helps. Please mark brainliest if you would. It would really help me out
Answer:
290
Step-by-step explanation:
30x2+4x20+3x50 multiply first and you get 60+80+150=290
When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.
Answers
Answer:
k = 6
Step-by-step explanation:
