Answers
Answer:
A
Step-by-step explanation:
Multiply:
[tex](\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )[/tex]
Simplify:
[tex]\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }[/tex]
Factor:
[tex]\frac{5(5-\sqrt{10x}) }{25-10x}[/tex]
Reduce:
[tex]\frac{5(5-\sqrt{10x}) }{5(5-2x)}[/tex]
Solution:
[tex]\frac{5-\sqrt{10x} }{5-2x}[/tex]
Related Questions
Math homework need help
Answers
Answer:
the sum of interior triangle is 180
so,
92+33+X=180
125x=180
X=180-125
=55
Tom bought a pen for $30
and sold it to gain
20% on his cost price. How much money
did he gain?
Answers
Answer:
he gained 6 dollars
Step-by-step explanation:
30 x 0.2
Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Lets suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
It is given that Tom bought a pen for $30 and sold it to gain 20% on his cost price.
Therefore,
30 x 20%
30 x 0.2 = 6 dollars
Thus, he gained 6 dollars.
Hence, Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
Learn more about unit price here:
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there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?
i got the top one to the left (checking my answer)
Answers
Answer:
The top left one is correct.
Step-by-step explanation:
We can rewrite this as an algebraic expression simply so it's easier to read.
Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].
That means for every 1 unit of hopscotch, there are 6 units of tag.
The top left one is correct.
Solve for please X/2+6=-2
Answers
X/2+6=-2
Subtract 6 from both sides
X/2=-8
Multiply by 2
X=-16
Answer:
x = -16
Step-by-step explanation:
A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.
Question 12 options:
A)
10,618.6 cm2
B)
816.8 cm2
C)
1,347.7 cm2
D)
3,539.5 cm2
Answers
Answer:
[tex]A=1347.7\ cm^2[/tex]
Step-by-step explanation:
Given that,
Radius of a cone, r = 13 cm
Slant height of the cone, l = 20 cm
We need to find the surface area of the cone. The formula for the surface area of the cone is given by :
[tex]A=\pi rl +\pi r^2[/tex]
Put all the values,
[tex]A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2[/tex]
So, the surface area of the cone is [tex]1347.7\ cm^2[/tex].
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Answers
y= 5/2x-7
y=5x+3
y= -8x +12
y= 3/5x-2
What is the value of the expression?
Answers
Answer:
2/0 or infinity
Step-by-step explanation:
what is 14/100 as decimal need answers asap!!!
Answers
Answer:
0.14 is the answer as it is out of 100
Step-by-step explanation:
14/100
/100 as a decimal= 0.00
14/100 = 0.14
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answers
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
Simplify:
3 [23 + (4 – 2)3 – (6 - 2)2]
A. 3
B. 12
D. 24
E-3
Answers
Answer:63
Step-by-step explanation:
5 actions a good friend would make.
Answers
Answer:
1. respect your opinion
2. defend you/stand up for you
3. support your passions and goals
4. keep stuff you tell them to themselves
5. make you feel comfortable and like you can be yourself
Step-by-step explanation:
please help if u can! :))))
Answers
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
which function has a y-intercept of 3
Answers
Answer:
2 and 3
1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count
Step-by-step explanation:
Substitute X for 0 and solve from there.
3(0) - 2y = -6
0 - 2y = -6
y = 3
y - 3 = -2(0)
y - 3 = 0
y = 3
Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5 seconds. An equation representing this isg=35t,where t is the time in seconds and g is the number of gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?
Answers
Answer:
about 267 hours
Step-by-step explanation:
What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT
Answers
Answer:
C. 1
Step-by-step explanation:
Use the formula to find slope:
(y2-y1)/(x2-x1)
Plug in the numbers you have.
(9 - 2)/(3 - -4)
7/7
1
Slope of the line shown below is option C. 1
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a line.
Slope must be positive since the line is drawn in the positive direction.
Consider two points along the line.
Consider (-4, 2) and (3, 9).
Slope = change in y coordinates / change in x coordinates
= (9 - 2) / (3 - -4)
= 7 / 7
= 1
Hence the slope is 1.
To learn more about Slope, click :
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PLEASE HELP ASAP please someone help me so far my day has sucked and I need help. this is easy math just help meeeee.
5/6 +4/5
please help me answer correctly my grade depends on it
Answers
Answer:
1 19/30
Step-by-step explanation:
Answer:
NEVERMIND (I thought 45/30, but i dont know)
Step-by-step explanation:
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.
Answers
Answer:
2
Step-by-step explanation:
if you multiply 2 by 3=6
2×2=43×3=9Answer:
B: Using the table,multiply 2 and 1 both by 3
Step-by-step explanation:
Just took the quiz on Edge 2021
32+(-4) how i rezolv this
Answers
Answer:
=28
Step-by-step explanation:
Have a great day :)
Answer:
32 - 4 = 28
Step-by-step explanation:
just replace the plus sign since there is a negative
Can someone help me
With this ? Thanks so much
Answers
Answer:
The 2nd one should be right
Step-by-step explanation:
prove me wrong
As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.
Answers
Answer:
about 30 km. If it wasn't estimated, it would be 30.8994048 km.
Answer:
12
Step-by-step explanation:
Why?
3. At what point on the curve x3 – y2 + x2 = 0 is the tangent line vertical?
(A) (0,0) only
(B)
(-1,0) only
(C) (1, sqrt2) only
(-1,0) and (0,0)
(E)
The tangent line is never vertical.
Answers
If x=3y substitute the value of x into expression simplify 3x+6
Answers
Answer:
(3y)3+6
Step-by-step explanation:
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays. During one week she worked 36 regular hours plus 8 holiday hours.
Answers
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays.
Then the amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be
⇒ $14.62 x 36 + $14.62 x 2 x 8
⇒ $526.32 + $233.92
⇒ $760.24
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
More about the Algebra link is given below.
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Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.
P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4
Answers
ANSWER: B
A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?
Answers
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1
Answers
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!
the product of 2 and the difference of a number and 9
Answers
Answer: 2(x-9)
Step-by-step explanation:
Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!
Answers
Answer:
$1608.48
Step-by-step explanation:
A = P(1 + r/n)^nt
P: 1100 3: 3.8% / year n: 365/year t: 10 years
A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48
what is 0.47 of £1 as pound sign
Answers
Answer:
In the Unicode standard, the symbol £ is called POUND SIGN, and the symbol ₤ is the LIRA SIGN.
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answers
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
