Answer:
a. [tex]\frac{5x}{(x+3)}[/tex]
b. [tex]\frac{5x}{(x+3)}[/tex]
Step-by-step explanation:
Given that:
a. [tex](\frac{25x^{2} }{2x+6})[/tex] x [tex](\frac{2}{5x})[/tex] = [tex]\frac{50x^{2} }{5x(2x+6)}[/tex]
= [tex]\frac{50x^{2} }{10x^{2} +30x}[/tex]
= [tex]\frac{(50x)x}{(10x+30)x}[/tex]
= [tex]\frac{50x}{(10x+30)}[/tex]
= [tex]\frac{5x}{(x+3)}[/tex]
b. [tex](\frac{25x^{2} }{2(x+3)})[/tex] x [tex](\frac{2}{5x})[/tex] = [tex]\frac{50x^{2} }{10x(x+3)}[/tex]
= [tex]\frac{5x}{(x+3)}[/tex]
Therefore,
[tex](\frac{25x^{2} }{2x+6})[/tex] x [tex](\frac{2}{5x})[/tex] = [tex](\frac{25x^{2} }{2(x+3)})[/tex] x [tex](\frac{2}{5x})[/tex] = [tex]\frac{5x}{(x+3)}[/tex]
Answer:
option C
Step-by-step explanation:
egg 2023
A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?
Answer:
a. is 2/21 hours to complete one task
b. is 10 1/2 tasks in one hour
Robot takes 2/21 hour to complete the task.
In one hour, robot complete 21/2 task.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to complete 7 tasks = 2/3 hours.
To find the time taken to complete one task and tasks that completed in one hour,
Use ratio method,
7 tasks take = 2/3 hours
1 task takes = 2/(3 x 7) = 2 / 21 hours.
In 2/3 hours = 7 tasks completed,
1 hour = 21/2 tasks.
In one hour, 21/2 tasks can be completed.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ5
What is negative 2/3 + 4/6
Answer: 0
Step-by-step explanation:
The common denominator is 6
-2/3 = -4/6
-4/6 + 4/6 = 0
2y-5y=-10.
what are the x and y intercepts
Answer:
The y intercept is (0,2) and the x intercept is (5,0)
Step-by-step explanation:
Find the y-intercept by letting x = 0
2(0) + 5y = 10
5y = 10
y = 2 Therefore, the y-intercept is (0, 2)
Find the x-intercept by letting y = 0
2x + 5(0) = 10
2x = 10
x = 5 Therefore, the x-intercept is (5, 0)
Here is the graph!!
HELP PLEASE!!!!!
Checkpoint #4: Find the X-intercept and y-intercept
of a Graph
5
1
2.
4
3
2
2
-1
1
4
-3
2
1
3
4
5
-5
-4
-3
-2
0
2
4
5
-10
-
- 2
-2
-3
Answer:
Step-by-step explanation:
Step-by-step explanation:
hope this helps! good Night!!
HELP IM GIVING BRAINLIEST
Answer:
AB, BC, AC
Step-by-step explanation:
Hopefully I helped!! :)
Select the correct answer.
Each side of a square is
(st
5) units. Which expression can be used to represent the area of the square?
22 - 50 - 10
I2 – 50 + 10
2 – 100 - 25
22 - 10x + 25
Answer:
D.) x²-10x+25 sq. units
Step-by-step explanation:
The question is not properly written. The question should have been:
If each side of a square is (x-5) units, which expression can be used to represent the area of the square.
Area of a square = L² where:
L is the length of the square
Given
L = x-5
Required
Area of the square
Substitute the given function into the formula to get the required as shown:
Area of the square = (x-5)²
Expand
A(x) = (x-5)(x-5)
A(x) = x(x)-5x-5x-5(-5)
A(x) = x²-10x-25
Hence the area of the square is (x²-10x+25)sq. units. Option D is correct.
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that twenty-one adults in the United States are selected randomly. What is the probability that more than five of the selected adults save nothing for retirement
Answer:
0.769296
Step-by-step explanation:
The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).
The pdf of binomial distribution is
P(X=x)=nCx(p)^x(1-p)^(n-x)
P(X>5)=1-P(X≤5)
P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223
P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423
P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057
P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673
P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632
P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287
P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287
P(X≤5)=0.769296
P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in
P(X≤5)=0.769296.
The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928
We are told that 20% of adults in the US save nothing for retirement. Thus;
p = 20% = 0.2
21 adults are selected randomly. Thus;
n = 21
Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;
P(X = x) = nCx × p^(x) × (1 - p)^(n - x)
Thus;
P(X > 5) = 1 - P(X ≤ 5)
Where;
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =
0.009223
Using online binomial probability calculator, we can find the remaining as;
P(X = 1) = 0.048423
P(X = 2) = 0.121057
P(X = 3) = 0.191673
P(X = 4) = 0.215632
P(X = 5) = 0.183287
Thus;
P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287
P(X ≤ 5) = 0.760072
Thus;
P(X > 5) = 1 - 0.760072
P(X > 5) = 0.239928
Read more about binomial probability distribution at; https://brainly.com/question/24239758
Mike buys a dvd set of a television series.each dvd has 6 episodes. There are 24 episodes. How many dvds are in the set?
Answer:
4 in one set
Step-by-step explanation:
So if 24%6= 4
The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.
Answer:
Vertices A B y C
A ( 2 , 3 ) B ( -1 , 1 ) C ( 3, 1 )
Step-by-step explanation:
We have to solve a two-equation system, by pair of equations as follows
equation (1) 2x - 3y + 5 = 0
equation (2) 2x + y -7 = 0
Solving this system we find let´s say vertex A
0x - 4y +12 = 0 y = 3
Then x ?
2x - 3y + 5 = 0
2x - 9 + 5 = 0 ⇒ 2x = 4 x = 2
Then vertex A ( 2 , 3 )
From equation (1) and (3)
2x - 3y + 5 = 0
2x + 5y - 3 = 0
Agan subtracting (1) - (2)
0x -8y + 8 = 0
y = 1 and
2x + 5y = 3
2x + 5 = 3
2x = -2
x = -1
Vertex B ( -1 , 1 )
Finally from equation (2) and (3) we get the third vertex C
2x + y - 7 = 0
2x + 5y - 3 = 0
0x -4y -4 = 0
y = 1
2x + y = 7
2x + 1 = 7
2x = 6
x = 3
C ( 3 , 1 )
how many milligrams of the drug are in your blood after 2 day?
Answer: 31 milligrams
Step-by-step explanation: As you can see on the chart you attached, 48 hrs equals 31 mg. One day is 24 hours, so that would mean two days in 48 hrs.
Nancy has 192 golf balls.
How many dozen golf balls does she have?
Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:16
192/12 equals 16
A triangular flag has an area of 462 square feet. The base is 14 feet. What is the height?
Answer: 66ft
Step-by-step explanation:
A=1/2bh
462=1/2(14)(h)
462=7h
66=h
MATCH THE CORRECT ONE PLEASE HELP
Answer:
same side interior for 2 and 6 i think
6th grade math I mark as brainliest
Answer:
D: A rhombus is always a parallelogram
Step-by-step explanation:
A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.
Answer:
A rhombus is always a parallelogram
Step-by-step explanation:
it's lines parallel to the other side
find the equation of the linear function represented by the table below in slope- intercept form. picture below of the table
If n is an odd number, then its remainder is 1 when I divide it by 2.
17 is an odd number. What conclusion can be made?
Answer: Its remainder is 1 when you divide 17 by 2.
In other words, 17/2 = 8 remainder 1.
The 8 is the quotient.
The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.
(-82)+(-47)-(+33)do u all know this answer
Answer:
-157
Step-by-step explanation:
Answer: -162
Hope this helps you
Step-by-step explanation:
subtract and add
California lowest point of elevation is -86 meters. Louisiana lowest point of elevation is 83.6 meters higher than California low point. What is the lowest point of elevation in Louisiana
Answer:
-2.4 meters
Step-by-step explanation:
-86 + 83.6 = -2.4
Participants in a psychology expirement
were able to memorize an average of M Words in
T minutes, where M is -0.00lt3 and T is 0.1t2 Find the
average
number of words memorized in 10min.
Answer:
11 words
Step-by-step explanation:
The question is poorly formatted.
The right relationship between M and t is given as:
M = −0.001t³ + 0.1t²
Required
Solve for M when t = 10
To do this, substitute 10 for t
So,we have:
M = −0.001t³ + 0.1t²
M = -0.001 * 10³ + 0.1 * 10²
M = -0.001 * 1000 + 0.1 *100
M = 1 + 10
M = 11
11 words in 10 minutes
Do you want to be in your basement bright orange for your birthday party the orange paint shade you like uses three parts red and 5 parts yellow How Many cups would you need for one gallon of paint ( there are 16 cups in one gallon)
You need 6 cups red and 10 cups yellow.
How do you write expanded from for 0.68 with decimals
Answer:
0.6 + 0.08
Step-by-step explanation:
Translate the given phrase into an algebraic expression and simplify if possible: the product of −4 and 16
Answer: -4 x 16, -48
Step-by-step explanation:
word phrase: -4 x 16
symplified = -48
product means multiply
what is the slope of the line that passes through (37, -9) and (36, 81)
Answer:
m= -90 is your answer
Step-by-step explanation:
For future reference, you should try using Symbolab, it works really well and I use it ALL the time!
Sam deposits $1,000 in his savings account which will earn 2.5% interest. How much interest will Sam have earned after 2 years? *
Answer: $50, The account will have $50 in interest after 2 years.
Step-by-step explanation:
2.5% / 100 = 0.025
$1,000 * .025 = 25
25 * 2 = 50
A pizza delivery company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 1664 customers. The data is summarized in the table below.
Gender and Residence of Customers
Males Females
Apartment 206 149
Dorm 295 276
With Parent(s) 55 68
Sorority/Fraternity House 132 204
Other 180 99
What is the probability that a customer is female and lives in a dorm or is female and lives in 'Other'? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer: 0.2254
Step-by-step explanation:
Let E= Event of getting of female lives in a dorm.
F = Event of getting of female lives in a 'Other'.
From the table , n(E) = 276 and n(F) = 99
and n(E∩F) = 0 [E and F are Mutually exclusive]
Now, n(E∪F)= n(E) + n(F) - n(E∩F)
= 276+99-0
= 375
also, n(S) =1664 (Sample size)
Required probability : [tex]P(E\cup F)=\dfrac{n(E\cup F)}{n(S)}[/tex]
[tex]=\dfrac{375}{1664}\approx0.2254[/tex]
Hence, the probability that a customer is female and lives in a dorm or is female and lives in 'Other' = 0.2254
6th grade math i mark as brainly
Answer:
A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
options box one:
graph a
Graph B
Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more
Answer:
1) graph b
2)appears to decrease more
Step-by-step explanation:
Are the statements true or false?
Select True or False for each statement.
Statement True False
1/ 4 · 3/ 4 = 3 /4 · 1/ 4
3/4÷2/5=2/5÷3/4
false false false false false
Answer:
no the first on is true and the last one is false
Step-by-step explanation:
need help with this please
Answer:
ok
Step-by-step explanation:
...............................................................
Answer:
I can't relly see can you take a cloeser pick
0.079times what equals 7.9
Answer:
100
Step-by-step explanation: