Answers
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Related Questions
Find the volume of a rectangular prism with a length of 6 cm, width of 2 cm and height of 5 cm. What is the volume of the prism
Answers
Answer:
60 cm^3
Step-by-step explanation:
I need help on this plz thanks
Answers
Answer:
its a black screen
Step-by-step explanation:
Is negative 40 greater than 12
Answers
Answer:
No, 12 is greater than -40
Step-by-step explanation:
Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)
Step-by-step explanation:
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27
Answers
Step-by-step explanation:
This the answer in the photo
is -3 rational number
Answers
Answer:
Step-by-step explanation:
Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted Q
.
Since −3 can be written as −3/1
, it could be argued that −3 is also a real number.
Answer:
yes
Step-by-step explanation:
Any rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← a and b are integers , then
- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form
Thus - 3 is a rational number
Simplify the following expression.
Answers
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
I need the answer in under 34 min
Answers
Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =
Answers
Answer:
x = 48
Step-by-step explanation:
From the given diagram, the sum of the angles given is equal to 180 degrees as shown;
x+y+2x = 80
Since y = 36
x +36+2x = 180
3x = 180 - 36
3x = 144
x = 144/3
x = 48
Hence the value of x is 48
Andrew cut 24 feet of chain into pieces that were each 1/3ft long. How many of these pieces did Andrew have after cutting the chain?
Answers
Answer:
72
Step-by-step explanation:
1/3 ft is 4 inches
24 feet is 288 inches
take 288 and divide it by 4
you get 72, which is the number of pieces of chain Andrew has
Drag fruit to represent each total weight shown.
Answers
3 strawberries in the second box
2 tomatoes (or whatever that is) in the third box
5/8 lb of fruit = 1/8+1/8+1/8+1/8+1/8=5/8
3/6 lb of fruit = 1/6+1/6+1/6=3/6
2/3 lb of fruit = 1/3+1/3=2/3
1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.
Answers
Answer:
width = 2v - 19
Step-by-step explanation:
please help me with my math
Answers
Answer:
SA = 480 cm²
Step-by-step explanation:
Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)
Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)
= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]
= 24 + 216
= 240 cm²
Area of the rectangular surface of the prism = 8 × 12 = 96 cm²
Surface area of the rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = width and h = Height of the rectangular prism
= 2(8 × 12 + 12 × 6 + 6 ×8)
= 432 cm²
Surface area of the composite figure = (240 - 96) + (432 - 96)
= 144 + 336
= 480 cm²
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00
Answers
Answer:
1.39
Step-by-step explanation:
Given the quadratic equation :
2x^2+3x-8 = 0
We could apply the quadratic equation formula :
a = 2 ; b = 3, c = - 8
The formula is stated as :
-b±sqrt(b² - 4ac)/2a
To save computation tune, we could use a calculator :
The roots are : - 2.886 ; 1.386
The positive solution rounded to the nearest hundredth is : 1.39
Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.
Answers
Answer:
c = 5/Cos 35
Step-by-step explanation:
We are given the following
m<ACB = 90degrees
m<ABC = 35degrees
The side opposite to m<ABC is AC
BA = hypotenuse
CB = adjacent = 5inches
Required
Equation to solve BA which is c
Using the Pythagoras theorem;
Cos theta = Adjacent/Hypotenuse
Cos m<ABC = CB/BA
Cos m<ABC = 5/c
c = 5/cosm<ABC
c = 5/Cos 35
Hence the equation that can be used to solve for c is c = 5/Cos 35
asap 50 points!
-3xy = what when x=5 and y= -6
answers :
-90
90
-33
33
Answers
Answer:
I think its 33
Step-by-step explanation:
i may be wrong
Answer:
choice 2) 90
Step-by-step explanation:
-3xy = ?
x=5 and y= -6
-3(5)(-6) = 90
Write and solve a proportion to answer the question.
75% of 124 is what number a
?
Write and solve a proportion to answer the question.
72 is what percent of 45?
Answers
(75:100)*124 =
(75*124):100 =
9300:100 = 93
72÷45×100
= 160
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answers
Answer:
x = 8
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the given values of x and y, and solve for k:
y = kx
-8 = k(-2)
4 = k
So, the equation is y = 4x
Using this, plug in 32 as y, and solve for x:
y = 4x
32 = 4x
8 = x
So, x = 8 when y = 32
According to the line plot, what is the total distance run for all of the runners combined?
Answers
Answer:
Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles
Step-by-step explanation:
1/5 + 2(1/4) + 4(1/3) + 3(1/2)
what is -1 3/10 + -3.8
Answers
Answer:
answer
Step-by-step explanation:
=convert 3.8 into mixed number
=3 4/5
=1 3/10+3 4/5
=5.1 in mixed fraction
=5 1/10
if i got it wrong i am seriously sorry!
What is the GCF of the numerator & denominator below?
(x-2)(x+3)/x^2+4x+3
Answers
Answer:
Step-by-step explanation:
Factorize the denominator
Sum = 4
Product = 3
Factors = 1 , 3 {1*3 = 3 and 1+3 = 4}
x² + 4x + 3 = x² + x + 3x + 1*3
= x(x + 1) + 3(x + 1)
= (x + 1)(x + 3)
GCF of the numerator and denominator = (x + 3)
11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?
Answers
What is the value of 3^2+4(2+4)x6 divided by 8+4
Answers
Answer:
its 31
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answers
Answer:47.5
Step-by-step explanation:
Order the sides or angles of each triangle from least to greatest.
Answers
Answer:
SU , UT , ST
Step-by-step explanation:
b Two quadrilaterals both have angles 55°, 65°, 95º and 145º
Felix says, 'The two quadrilaterals are similar.
True or false? Explain why.
Answers
Answer:
I say true.
Step-by-step explanation:
cuz both of the quadrilaterals have the same angles and all angles equal 360 °
4a-2b=10 what is the value of 2b-4a?
Answers
Answer:
-10
Step-by-step explanation:
4a-2b=10
-1(4a-2b)=-1*10
-4a+2b= - 10
2b - 4a = - 10
Hiiiooo can someone please help me ❤️❤️:D
Answers
Answer:
10
Step-by-step explanation:
because it shows where the line is
I think it’s 14? Is that right or no?
Answers
Answer:
Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!
Step-by-step explanation:
how many parts 1/6s does it take to name the same amount as 1/3
Answers
Answer:
Two 1/6 pieces
Step-by-step explanation:
Two 1/6 pieces equals 1/3 of the apple
So that will be 1/6 + 1/6 = 2/6
And 2/6 simplified is 1/3.
Multiply: 7,277x6
Please hurry!
Answers
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