2 1/3 + 6 3/5
Adding the fraction
Rationalize the denominator 2/root 3 - 1
Answer:
Step-by-step explanation:
[tex] \frac{2}{ \sqrt{3} - 1 } \\ \frac{2}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} \\ \frac{2 \times ( \sqrt{3} + 1)}{( \sqrt{3} - 1)( \sqrt{3 } + 1) } = \frac{2 \sqrt{3} + 2}{( \sqrt{3} )^{2} - {1}^{2} } \\ \frac{2 \sqrt{3} + 2 }{3 - 1} = \frac{2 \sqrt{3} + 2 }{2} = \frac{2( \sqrt{3} + 1)}{2} \\ \sqrt{3 } + 1 = 1.732 +1 = 2.732[/tex]
Or[tex] \frac{2}{ \sqrt{3 - 1} } \\ \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{2 \sqrt{2} }{( \sqrt{2} ) ^{2} } = \frac{2 \sqrt{2} }{2} \\ \sqrt{2} = 1.4142[/tex]
I hope I helped you^_^
What is the answer to this? Please send help
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask any question please let me know.Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?
Answer:
$681.50
Step-by-step explanation:
$13.63 x 50 = $ 681.50
what is the vaule of 11a+2(3a+4b)-5b for a=6 and b=-2
Answer:
96
Step-by-step explanation:
a= 6 b = - 2
So just subsitute all the a and b into the number they gave
11(6) + 2(3(6)+4(-2)) - 5(-2)
66+ 2(10) +10
66+20+10
96
Just be careful with your positive and negatives
Need awnsers please
Answer:
<C+83=90 [ sum of complementary angles ]
<C=90-83
<C=7
Now,
<C+83=180 [ sum of supplementary angles ]
<C=180-83
<C=97
Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3
Answer:
y + 7 = 1/3 (x + 5)
Step-by-step explanation:
The format for writing a point-slope equation is: y - y1 = m(x - x1).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
where, m = 1/3, x1 = -5 and y1 = -7
[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]
[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]
[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]
[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]
[tex]y = \frac{1}{3} (x + 26)[/tex]
What are the names of three collinear points?
A parallelogram is shown with point upper J at its center. Ray upper J upper K is drawn horizontally to the right. Ray upper J upper L is drawn horizontally to the left. Points upper A and upper D are located inside the parallelogram above point J. Point upper B is located inside the parallelogram below point J. (1 point)
Points D, J, and K are collinear.
Points A, J, and B are collinear.
Points D, J, and B are collinear.
Points L, J, and K are collinear.
Answer:
L,J, and K are collinear
Step-by-step explanation:
1. A number is represented by x. How would we represent:
a) 2 more that the number.
b) 5 times the number.
c) 3 less than twice the number.
d) Twice as much as 3 less than the number.
e) A 1/4 of the number.
Step-by-step explanation:
If the number is represented by x, then
x+25x2x-3(x-3)21/4× x=x/4multiply (2x+5) (2x-3)
(x-4) (3x²+5x+2)
Answer:
[tex]thank \: you[/tex]
H. Pete wants a new truck. The sale price is 15% lower than the original price. The sale price is $20,000. Write and evaluate an expression for the original price Uses for sale price and p for original price. L. Emma Lee needs a new road bike. The sale price is 10% lower than the original price. The sale price is $450. Write and evaluate an expression for the original price, Uses for sale price and p for original price. J. You can find the distance in feet that an object falls in t seconds using the expression 1612. If you drop a ball from a tall building, how far does the ball fall in 5 seconds?
100-15=85%=SP
[tex]\\ \sf\longmapsto 85\%\times x=20000[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{100}x=20000[/tex]
[tex]\\ \sf\longmapsto x=20000\times \dfrac{100}{85}[/tex]
[tex]\\ \sf\longmapsto x=235.2(100)[/tex]
[tex]\\ \sf\longmapsto CP=23520[/tex]
Solution:-2SP=450Discount=10%CP=?100-10=90%=SP
[tex]\\ \sf\longmapsto 90\%\times x=450[/tex]
[tex]\\ \sf\longmapsto \dfrac{90}{100}x=450[/tex]
[tex]\\ \sf\longmapsto x=450\times \dfrac{100}{90}[/tex]
[tex]\\ \sf\longmapsto x=5(100)[/tex]
[tex]\\ \sf\longmapsto CP=500[/tex]
solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
Answer:
2x-y= 5, x + 2y=5
Step-by-step explanation:
x = 3, y = 1
how are 1/4 of 12 and 12 divided by 4 related????
Answer:
they are related because both of the equation equal to 3
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
The rule for the translation can be written as T–3, 1(x, y).
The rule for the translation can be written as T–1, 3(x, y).
The rule for the translation can be written as
(x, y) → (x + 1, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y + 1).
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
Answer:
The rule for the translation can be written as T–3, 1(x, y).
The rule for the translation can be written as
(x, y) → (x – 3, y + 1).
Step-by-step explanation:
Got it right on Edge
combine like terms and simplify. 7(3y-5)-2(10+4y)
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])
C............... .......
Answer:
10 is your answer
Step-by-step explanation:
I would love brainliest, thanks!
f(4) =
If g(x) = 2, x =
Answer:
f(4)=-10
x=0 if g(x)=2
i hope you will understand it
solve this problem I am not able to solve this please help me
Answer:
4/5
Step-by-step explanation:
What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).
First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.
Remember the formula,
sin a = opposite/hypothenuse.
Substitute the values in,
sin 2A = 4/5
please help easy maths
Answer:
option D
Step-by-step explanation:
y-intercept=-8
point(0,-8)
m=4
Using point slope form:
y-y1=m(x-x1)
y-(-8)=4(x-0)
y+8=4x
y=4x-8
Cathy are in $16 per day how much will she have at the end of 64 days
Answer:
1024
Step-by-step explanation:
multiply 16 by 64
what is -5x-x?
thank you!
Answer:
-5x-x=-6x
hope this helps you
Answer:
-6x
Step-by-step explanation:
-5x-x
add like terms
-6x
x^2-2x/2x^2+8 - 2x^2/8-4x+2x^2-x^3
Answer:
[tex]-2x^3+\frac{11}{4} x^2 - 4x +8[/tex]
A truck can be rented from Company A for $140 a day plus $0.80 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
600 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 140 + 0.80x
Company B: 80 + 0.90x
Set up an equation:
140 + 0.80x = 80 + 0.90x
Isolate variable x:
60 + 0.80x = 0.90x
60 = 0.10x
600 = x
Check your work:
140 + 0.80(600) = 80 + 0.90(600)
140 + 480 = 80 + 540
620 = 620
Correct!
The common ratio of the geometric sequence -14,-84,-504
A common ratio is basically a ratio of next sequence and the sequence you want
To find a common ratio of geometric sequence, we usually define 'r' as common ratio.
[tex] \displaystyle \large \tt{r = \frac{next \: \: sequence}{the \: \: sequence \: \: you \: \: want} }[/tex]
For example, I want to focus on -14 and the next sequence would be -84.
Hence,
[tex] \displaystyle \large{r = \frac{ - 84}{ - 14} }[/tex]
Thus, r is 6 because both numerator and denominator are negative. negative divides negative = positive.
Or you want to choose -84, then the next sequence would be -504.
[tex] \displaystyle \large{r = \frac{ - 504}{ - 84} }[/tex]
Then r would still be 6. Since both ways have r as 6 and this proves that the sequence is geometric.
Hence, the common ratio is 6.
2. The cost of a badger is b pence. A raccoon is 5 pence more expensive than a badger and a beaver three times as expensive as a badger.
a) What is the cost of a raccoon?
b) What is the cost of the beaver?
c) What is the total cost of a raccoon and 8 beavers?
Answer:
A. b+5
B.3(b+5)
C.b+5+8b=9b+5
Step-by-step explanation:
Given the equation 5x + 23 = - 2x - 12, which order of operations completely solves for x? (1 point)
O Add 2x, then subtrost 23, lastly divide by - 7
Subtract 2x, then add -23, lastly divide by 7
O
Subtract 5x, then add 12, lastly divide by 7
Subtract 5x, then add 12, lastly divide by - 7
4.(01.02)
Answer:
-5
Step-by-step explanation:
5x+23= -2x-12
Add 2x to the other side
7x+23= -12
Subtract 23 from the other side
7x= -35
Divide 7 from the other side
x= -5
In a survey, 250 people were asked if they smoke…..
Answer:
90%
Step-by-step explanation:
22%
Find the H.C.F of 32, 48 and 64
Answer:
Step-by-step explanation:
Factor into primes
32: 2*2*2*2*2
48: 2*2*2*2*3
64: 2*2*2*2*2*2
The highest common factor is 2*2*2*2 = 16
helpppppp me please i need help
Answer:
2nd one?
Step-by-step explanation:
Have a good day
-Bradi
Prove that √(3*5^-3) ÷ 3√(3^-1*5) * 6√(3*5^5) = 3÷5
Answer:
it dose
Step-by-step explanation:
i use my brain to the problem