Answer:
x = 52/6
Step-by-step explanation:
The equation is given as;
[tex]\frac{4 + 2x}{6x} = \frac{12}{5x} + \frac{2}{15}[/tex]
Multiply all through by 30x. This gives;
5(4+2x) = 6(12) + 2x(2)
Expanding the expression;
20 + 10x = 72 + 4x
Taking like terms;
10x - 4x = 72 - 20
6x = 52
x = 52/6
A camera has a listed price of 892.98 before tax. If the sales tax rate is 6.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
953.26
Step-by-step explanation:
6.75% of 892.98 = 60.27615
839.98+60.27615=953.25615
then we round to the nearest cent and get
953.26
Answer:
Step-by-step explanation:
892.98(1+(6.75/100))
892.98(1.0675)
953.26
How many days are there in 4 weeks 3 days?
Answer:
4 weeks = 28 days
Step-by-step explanation:
__
0.167
Is this rational or irrational???
Ok offering 40 points and will mark brainliest!! :-)
Answer:
rational
Step-by-step explanation:
in a certain examination 52 candidate offers biology,60 offers history,96 offers maths, if 21 offered both biology and history,22 offered maths and biology, and 16 offered maths and history,if 7 candidates offered all the subject. how many candidates were there for the examination
Answer: There are 135 candidates.
Step-by-step explanation:
we know that:
52 offer biology
60 offers history
96 offers maths
21 offered both biology and history
22 offered maths and biology
16 offered maths and history
if 7 candidates offered all the subject.
We want to find the total number of candidates.
We start by adding the numbers for each particular exam:
(52 + 60 + 96)
Now, there are 21 that offered both biology and history, then these 21 are counted in the 52 for biology and in the 60 for history, then we need to subtract 21 (because we are counting it two times)
(52 + 60 + 96) - 21
The same happens for the 22 that offered maths and biology, and 16 that offered maths and history, then we get:
(52 + 60 + 96) - 21 - 22 - 16
And there are another 7 that offered for the 3 subjects, then we are counting these 7 ones 3 times, this means that we need to subtract 7 two times.
then we get:
(52 + 60 + 96) - 21 - 22 - 16 - 7 - 7
This is the total number of candidates, if we solve the equation we get:
candidates = (52 + 60 + 96) - 21 - 22 - 16 - 7 - 7 = 135
So we can conclude that there are 135 candidates.
a(2+b) = -12. What is b?
Please help.
Answer:
-14
Step-by-step explanation:
its negative 14 because 2-(-14)= -12
Formulate the recurslve formula for the following geometric sequence.
/(/left\{-16,/4,/-1,... \right\}\)
Answer:
a₁ = -16aₙ ₊ 1 = -1/4aₙStep-by-step explanation:
Given GP-16, 4, -1, ...To findThe recursive formula for the sequenceSolutionFirst term is:
-16Common ratio is:
-1/4Recursive formula:
a₁ = -16aₙ ₊ 1 = -1/4aₙPleaseeee help meeeeeeeee
Answer:
A. m = -6
Step-by-step explanation:
Pls help this is easy but I a ton of stuff I need to do
Answer:
x = 4
Explanation:
2 + 2 + 2 = 6
18 - 6 = 12
12 ÷ 3 = 4
4 = x
x = 4
Answer:
Two equations: (x + 2 + x + 2 + x + 2) & (3x + 6 = 18) ; x = 4
Step-by-step explanation:
x + 2 + x + 2 + x + 2 = 18
3x + 6 = 18
3x = 12
x = 4
!!!!!!! Increase 5 by 5%
Answer:
5.25
Step-by-step explanation:
Increased
Answer:
5.25
Step-by-step explanation:
5%5=.25
5+.25= 5.25
Simple!
Do
5 cm
5 cm
20 cm
form a triangle
Answer:
Step-by-step explanation:
No. If two sides are 5cm the third side must be less than 2(5)=10cm
Answer: No, a triangle cannot be formed with these side lengths.
=========================================================
Explanation:
Recall that the triangle inequality theorem says that for a triangle to be possible, the sum of any two sides must be larger than the third side.
With these given side lengths, we can see that 5+5 = 10 is not larger than 20, so a triangle is not possible here. I recommend you try it out with 3 slips of paper of these lengths. You should find that the two 5 cm sides are too short to be able to connect to the 20 cm side properly.
i want to most fat and juicy butt ever how do i get it ( i dont want to workout tho lolz)
Answer:
inject juice and put ramen
What is the vertex of the graph of this function? y= -(x+2)(x+4)
You can even get a Brainiest (or whatever its called) plz help.
Answer:
(-3,1)
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
Answer:
caldwen wala pa yung qeustion mo na freee 1000 points for lalalalalalla
Step-by-step explanation:
What is the vertex of the graph of this function? y= -(x+2)(x+4)
You can even get a Brainiest (or whatever its called) plz help.
if you increase the number by 4 and double the sum the result you will get will be the same as four times the number decrease by six
Answer:
Step-by-step explanation:
Let the number be x,
2(4+x)= 4x-6
8+2x= 4x-6
Collect like terms
8+6. = 4x-2x
14 = 2x
x = 14/2
x.=. 7
PLEASE GIVE BRAINLIEST.
Example 2 - A ball is thrown straight up from the top of a 288 foot tall building with an
initial speed of 48 feet per second. The height of the ball as a function of time can be
modeled by the function h(t) = -16t? +48t + 288. When will the ball reach a height of 320
feet?
Answer:
step 1. h(t) = -16t^2 + 48t + 288. Set this equal to 320.
step 2. -16t^2 +48t + 288 = 320
step 3. -16t^2 + 48t - 32 = 0
step 4. -16(t^2 - 3t + 2)
step 5. -16(t - 2)(t - 1)
step 6. The ball reaches 320 feet "both!!!" at t = 1, 2 seconds once going up and once coming down.
Select all that apply.
Which graphed lines represent direct variation functions?
line a
line 6
linec
lined
Answer:
C and D
Step-by-step explanation:
how to simplify this 5x^2 -3 (x + 2) - 2x
Mhanifa please help me with this! I need it done ASAP! I will mark brainliest
Answer:
[tex]1) \to \: B \\ 2) \to A[/tex]
Answer:
The third one
Step-by-step explanation:
Suppose users share a 3 Mbps link. Also suppose each user requires 150 kbps when transmitting, but each user transmits only 10 percent of the time. When circuit switching is used, how many users can be supported? For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting. Suppose there are 120 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. (Hint: Use the binomial distribution.) Find the probability that there are 21 or more users transmitting simultaneously.
Answer:
The probability that a given user is transmitting is 0.1 = 10%.
The probability that at any given time, exactly n users are transmitting simultaneously is [tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex].
0.0048 = 0.48% probability that there are 21 or more users transmitting simultaneously.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Each user transmits only 10 percent of the time.
This means that [tex]p = 0.1[/tex]
Find the probability that a given user is transmitting.
The probability that a given user is transmitting is 0.1 = 10%.
Suppose there are 120 users.
This means that [tex]n = 120[/tex]
Find the probability that at any given time, exactly n users are transmitting simultaneously.
This is [tex]P(X = n)[/tex].
This n is different from the n of total number of users(120 in this case) from the standard binomial formula. This is the number of successes, which is the equivalent of x. So
[tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex]
The probability that at any given time, exactly n users are transmitting simultaneously is [tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex]
Find the probability that there are 21 or more users transmitting simultaneously.
Now we use the binomial approximation to the normal. We have that:
[tex]\mu = E(X) = np = 120*0.1 = 12[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.1*0.9} = 3.2863[/tex]
Using continuity correction, this probability is [tex]P(X \geq 21 - 0.5) = P(X \geq 20.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 20.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20.5 - 12}{3.2863}[/tex]
[tex]Z = 2.59[/tex]
[tex]Z = 2.59[/tex] has a pvalue of 0.9952
1 - 0.9952 = 0.0048
0.0048 = 0.48% probability that there are 21 or more users transmitting simultaneously.
What is the value of the missing angle? The options are: 80, 90, 170, and 260 degrees.
Answer:
80°
Step-by-step explanation:
140+140+x=360
280+x=360
x=80
Identify the solutions for 7 and 8 (which is the ones I’m showing)
Answer:
7. (5,4) x = 5 y = 4
8. (1,2) x = 1 y = 2
Step-by-step explanation:
This explanation takes too long sry :(
The volume of this cone is 36 cubic units. What is the volume of a cylinder that has the same base area and the same height?
Answer: 108pi
Step-by-step explanation:
36pi times 3
this is correct btw
The following table shows a proportional relationship between j and m.
write an equation to describe the relation between j and m
Answer:
m=3/4 j or m = .75j
Step-by-step explanation:
expand and simplify (x+10)(x+1)
Answer:
x²+11x+10
Have a great day :)
Answer:
[tex] \huge \boxed{ \boxed{ \red{ {x}^{2} + 11x + 10}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:PEMDASdistributionalgebragiven:[tex] \tt(x+10)(x+1)[/tex]to do:expand and simplifylet's do:[tex]step - 1 : define[/tex]
[tex] \tt(x+10)(x+1)[/tex]
[tex]step - 2 : expand \: and \: simplify[/tex]
[tex]distribute : \\ \tt x(x + 1) + 10(x + 1)[/tex][tex] simplify : \\ {x}^{2} + x + 10x + 10[/tex][tex]combine \: like \: terms : \\ {x}^{2} + 11x + 10[/tex]what is y=− 2/9 x+2 written in standard form?
Answer:
2x+9y=18
Step-by-step explanation:
Distribute the denominator
y=-2/9x+2
9y=-2x+2
9y+2x=2
im sorry if this is wrong
Two weeks ago price was $220 now it's $325. What is the percent increase? What is percent increase if there is an additional $50 baggage fee with the new ticket price?
Answer:
68.18%
Step-by-step explanation:
325+50=375
375-220=155
155÷220×100%
≈68.18%
Find the equivalent expression.
−4(3m + 12)
Question 11 options:
-12m + 12
-12m - 12
12m + (- 48)
-12m - 48
Answer:
-12m - 48
Step-by-step explanation:
-4(3m+12)
•(-4)(3m)= -12m
•(-4)(12)= -48
-12m - 48
Problem 3 Clare is paid $900 for 5 hours of work. At this rate, how many hours does it take her to earn 3,600 dollars?
Find x. (Use the pic for more info)
9514 1404 393
Answer:
A. 12
Step-by-step explanation:
The midsegment is half the length of the base.
3x -8 = 2(x +2)
3x -8 = 2x +4 . . . . . eliminate parentheses
x = 12 . . . . . . . . . . . .add 8-2x to both sides
Una persona nacio en el año 2 antes de cristo y se caso a los 25 años
En que año se caso?
Answer:
27 antes de cristo
Step-by-step explanation:
WHAT 6 x 3!!!!! SIX TIME 3
Answer:
18
Step-by-step explanation:
6x3=18
(hope this helps can i plz have brainlist :D hehe)
Answer:
18
Step-by-step explanation:
lol....................