The value of x by simplified the given equation is 5/12.
By considering the given equation
3/2x - 2/3x =2
We are finding the value of x by simplify it.
(9-4)/6x=2
5/6x=2
5=12x
x=5/12
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."
The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.
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This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?
(A) 1:2
(B) 2:3
(C) 3:2
(D) 2:3
Answer:
B)2:3
Step-by-step explanation:
the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)
Can you please help me with this ?
Answer:
the answer is 2^x-7 = 1/3x+-1/3
graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining
Match the imaginary solutions with the correct simplified forms:
Answer:
See the picture below.
Step-by-step explanation:
Answer:
[tex]\sqrt{-63}=3i\sqrt{7}[/tex]
[tex]\sqrt{-156}=2i\sqrt{39}[/tex]
[tex]6\sqrt{-12}=12i\sqrt{3}[/tex]
[tex]-5\sqrt{-75}=-25i\sqrt{3}[/tex]
Step-by-step explanation:
An imaginary number is a non-zero real number multiplied by the imaginary unit [tex]i[/tex].
[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Imaginary Number Rule}\end{center}\\\begin{center}$\sqrt{-1}=i$\end{center}\end{minipage}}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Radical Rule}\end{center}\\\begin{center}$\sqrt{a \cdot b}=\sqrt{a} \sqrt{b}$\end{center}\end{minipage}}[/tex]
[tex]\begin{aligned}\sqrt{-63} & = \sqrt{9 \cdot -1 \cdot 7}\\& = \sqrt{9}\sqrt{-1}\sqrt{7}\\& = 3i\sqrt{7}\end{aligned}[/tex]
[tex]\begin{aligned}\sqrt{-156} & = \sqrt{4 \cdot -1 \cdot -39}\\& = \sqrt{4} \sqrt{-1} \sqrt{39}\\& = 2i\sqrt{39}\end{aligned}[/tex]
[tex]\begin{aligned}6 \sqrt{-12} & = 6 \sqrt{4 \cdot -1 \cdot -3} \\& = 6 \sqrt{4} \sqrt{-1} \sqrt{3} \\& = 6 \cdot 2 i \sqrt{3} \\& = 12i \sqrt{3}\end{aligned}[/tex]
[tex]\begin{aligned}-5 \sqrt{-75} & = -5 \sqrt{25 \cdot -1 \cdot -3} \\& = -5 \sqrt{25} \sqrt{ -1 } \sqrt{3} \\& = -5 \cdot 5i \sqrt{3} \\& = -25i \sqrt{3}\end{aligned}[/tex]
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The scores on Dave’s first two biology tests are 65 and 81. By how
many points did Dave’s improve on his second test?
Answer:
16
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest and if i got it wrong i am so sorry
The Amari family installed an inground pool with the dimensions shown, what is the volume of the inground pool?
Answer:
23716 cubic feet
Step-by-step explanation:
7^2=49
11^2=121
2^2=4
49x121=5929
2929x4=23716
graph the inequlity
y > |x-7| + 1
Answer:
D.
Step-by-step explanation:
The inequality graphed matches the graph on the answer choice D.
Hope this helps <3
Brook went bowling with her friends she bowled 3 games and her average score for those games was 121 she had 117 her first game and 108 on her second game write an equation to find g the score of her third game
Answer:
121 x 3 = 363
117 + 108 = 225
363 - 225 = 138
138 is the third game
I'm not very sure how to write an equation for this, I guess it would look something like
117 + 108 + x = 363
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
A $44,200.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account? Round to the nearest cent.
The balance amount at the end of 4 years in the account will be $53275
Principal amount= $44200
Rate of interest = 5% compounded annually
Number of years amount is invested for: 4 years
The formula for compound interest is given by:
A = P(1 + r/100)^n
where A = Final amount
P = principal amount invested
r = Rate of interest annually
n = number of years amount is invested
Putting the values in the formula we get:
A = 44200(1 + 5/100)^4
= 44200(1.05)^4
=44200*1.21
Amount at end of 4 years= 53725.37 or 53725
So, the balance amount at the end of 4 years in the account will be $53275
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A bicyclist is riding on a path modeled by the function f(x) = 0.04(8x - xo), where x and f(x) are measured in miles. find the rate of change of elevation when x = 2.
The rate of change of elevation is 0.32.
What is the rate of change of elevation?An easy-to-remember equation for finding change in elevation as a decimal is “rise over run,” meaning the rise (the change in vertical distance) divided by the run (the change in horizontal distance).
So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.32x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.32 is the rate of change in disregard of the value of x.
Hence, The rate of change of elevation is 0.32.
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are 8x and 2x^3 like terms ??
Answer:
No they are not 'like' terms
Step-by-step explanation:
8x and 2x WOULD be 'like' terms
8x and 2x^2 are not
8x and 2x^3 are not either
Select the correct answer.
Simplify.
√96
A 24√4
B. 6√4
C 4√6
D. 16√6
Answer : C] 4√6
Thank you !
ZA and ZB are vertical angles. If m/A = (4x − 8)° and m/B = (3x + 18)°,
then find the value of x.
For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26
We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.
Thus, angle A = angle B
Now we will put the value of the respective angles and solve for x, we will get,
angle A = angle B
(4x-8)° = (3x+18)°
4x – 3x = 18 + 8
x = 26
hence the value of x = 26
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During a cake-eating contest, Dave ate three and a half pizza and Daisy
ate two-thirds of a pizza. How many pizzas did they eat altogether?
HELP EXPLAIN STEP BY STEP!
Answer:
4 1/6
Step-by-step explanation:
Dave eats 3 3/6
Daisy eats 4/6
Together they eat 3 1/6
First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.
4 full pizzas plus 1/6 of a pizza
i.e. 4 full pizzas plus one extra slice
======================================================
Explanation:
1/2 = 3/6
2/3 = 4/6
The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6
That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.
This gives the mixed number 4 & 1/6
Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.
(8.41 x 10^-5) - (7.9 x 10^-6)
Answer:
7.62×10^-5
Step-by-step explanation:
Answer: 0.000076
Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)
= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)
= 0.000084 - 0.000008
= 0.000076
Can someone help me with this question please like I really need this asap.
Using the fact that the two angles are complementary, the we will find that the measures are:
∠1 = = 14°
∠2 = 76°
How to find the measures of the angles?
By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).
We also can see that:
∠1 = x - 5
∠2 = 4x
Then we can solve the linear relation:
(x - 5) + 4x = 90
x - 5 + 4x = 90
5x - 5 = 90
5x = 90 + 5 = 95
x = 95/5 = 19
Then the measures of the two angles are:
∠1 = (x - 5)° = (19 - 5)° = 14°
∠2 = 4x = 4*19° = 76°
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Help me out with this one!
Answer:
19/9
Step-by-step explanation:
Divide 19/9 using calculator or long division to check.
Hope this helps!
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Combine like terms
x - 5 + 3x (to the second power) + 2 IM BEGGING PLEASE I NEED HELP
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall is 1.75 below average.
How to calculate the difference?From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.
The water level after the rainfall will be:
= -2.55 + 0.8
= -1.75
Therefore, the water level after the rainfall is 1.75 below average.
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As part of maintenance, you need to replace a cross tie for a wooden roller coaster. You have a board that is 2.5 meters long, but a cross tie should be 1.5 meters long. Without a ruler or measuring tape, how would you know where to cut the board so that the cross tie is the correct length?
We an measure by some standard sale like our hands or foots or pinkie fingers or heigth etc.
Your foot: With this one it helps to know your European shoe size: 35 = 9′, 40 = 10″ and 45 = 11″. This is more accurate but more time consuming than using your stride to measure a space, as you must walk toe to the heel of your next foot.
Your height: We have compelled a perfectly 6-foot-tall person to lay on the floor to get a room dimension before, but it’s not necessary to go to that trouble. The distance between your fingertips with your arms stretched to the sides is roughly the same as your height.
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Assume there is a virus in a town, and there exists one patient on day 1.
Assume that the patient transmits the virus to another person once per day, then this other person becomes a patient, and that all carriers spread the virus at the same rate, i.e. each patient passes the virus on to one other person per day.
Once someone has caught the virus, they do not catch it again.
The town has a fixed population of 700000
and the borders are closed so that no one can enter or exit the town.
How many days does it take to make everyone in the town catch the virus?
Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.
What is an exponential function?An exponential function is given as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.For this problem, we have that:
On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.From this, we get that the parameters are given as follows:
a = 1, b = 2.
Hence the function for the number of contaminated people after t days is given by:
[tex]f(t) = 2^t[/tex]
Now, we have to solve for t when f(t) = 700000, hence:
[tex]2^t = 700000[/tex]
[tex]\log{2^t} = \log{700000}[/tex]
[tex]t\log{2} = \log{700000}[/tex]
t = log(700000)/log(2)
t = 19.4, rounded to 20.
It takes 20 days for everyone in the town to catch the virus.
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4. Solve x - 2 = 1.
Which statement shows the correct justification for the step used to solve the
equation?
O Add 1 to each side.
O Add 2 to each side.
O Subtract 1 from each side.
O Subtract 2 from each side
Answer:
x=3
Step-by-step explanation:
or,x-2=1
or,x=2+1
or,x=3
#5 a. What is the five-number summary for the data 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
b. When the minimum, 0, is removed from the data set, what is the five-number summary?
The five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 , median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
Median is defined as the center value of the data.
Part(a)
In the given question
the data is 0, 2, 2, 4, 5, 5, 5, 5, 7, 11
(i)the minimum of the data is 0
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 0,2,2,4,5 is 2.
(v)Q₃ = median of the upper half 5,5,5,7,11 is 5.
Part (b)
after removing minimum 0 the data becomes 2,2,4,5,5,5,5,7,11
(i)the minimum of the data is 2
(ii) maximum of the data is 11.
(iii) median of the data is 5.
(iv)Q₁ = median of the lower half 2,2,4,5 is 3.
(v)Q₃ = median of the upper half 5,5,7,11 is 6.
Therefore , the five number summary for
(a) 0,2,2,4,5,5,5,5,7,11 is minimum=0 ,median=5 ,maximum=11 ,Q₁=2 ,Q₃=5 .
(b) 2,2,4,5,5,5,5,7,11 is minimum=2 ,median=5 ,maximum=11 ,Q₁=3 ,Q₃=6 .
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You roll two six-sided dice. What is the probability that the sum is equal to 5? Write your answer as a fraction in simplest form.
Answer:
4/36 but reduce to lowest terms.
Step-by-step explanation:
The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.
4/36 which you can also reduce to lowest terms.
If mQOS, mPOR, and mPOQ, what is mROS?
Applying the angle addition postulate, the measure of angle ROS is: 16°
How to Apply the Angle Addition Postulate?Given the following angle measures:
m<QOS = 49°
m<POR = 56°
m<POQ = 23°
Find the measure of angle QOR:
m<QOR = m<POR - m<POQ [angle addition postulate]
Substitute the values into the equation
m<QOR = 56 - 23
m<QOR = 33°
Find the measure of angle ROS:
m<ROS = m<QOS - m<QOR [angle addition postulate]
Substitute the values into the equation
m<ROS = 49 - 33
m<ROS = 16°
Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2 or 0.5, y = 1
Step-by-step explanation:
it just means a system of equations.
-4x + 3y = 1
6x - y = 2
let's multiply the second equation by 3 and add both resulting equations :
-4x + 3y = 1
18x - 3y = 6
-------------------
14x 0 = 7
14x = 7
x = 7/14 = 1/2 = 0.5
6x - y = 2
6×1/2 - y = 2
3 - y = 2
-y = -1
y = 1
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answer:
g is the acceleration due to gravity.
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how many 1/3 cups are in 2 cups
Answer:
6 1/3 cups are in 2 cups
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
+
1/3 + 1/3 + 1/3 = 3/3 = 1 cup
1 cup + 1 cup = 2 cups
Therefore it is 6 1/3 cups.
the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO
Answer:
5
Step-by-step explanation:
Answer:
LM:MN:
NO =3:
3N
Step-by-step explanation:
Nylah and harper share £2700.harper gets twice as much money as nylah.
How much does hamper receive?
Give your answe in pounds (£)
Harper will receive £1800 as his own share of the total money
How to calculate the amount of harper that Nylah will receive ?Nylah and harper both share £2700
let x represent Nylah share
let 2x represent harper share
x + 2x= 2700
3x= 2700
divide both sides by the coefficient of x which is 3
3x/3= 2700/3
x= 900
Since harper share is 2x, let's substitute 900 for x
2(900)
= 1800
Hence harper share is £1800
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