Solve the equation [tex]\sqrt{3x} + \sqrt{12} = \frac{x+7}{\sqrt{3} }[/tex]
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Related Questions
The distance around track is 400 m if you take 14 more laps how much is total amount of distance
Answers
The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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what is 2 over 3 divide 1 over 4
Answers
Answer: 2 2/3
Step-by-step explanation:
2/3 x 4/1 multiply the numerators together and the denominators together
2 time 4/ 3 times 1= 8over 3
then simplfy it
so your answer will be 2 and 2/3
Decimal form: 2.666666666666…
Mixed number form: 2 2/3
what is the perimeter in terms of x? in other words find the pereimeter.
Answers
Answer:
Step-by-step explanation:
perimeter of rectangular: 2(a+b)
we know from the graph, assume that a = 2x b = x+ 3
so the perimeter (C) in terms of x is C = 2(2x + x +3) = 6x + 6
Which is greater explain the reasoning
Answers
Answer:
0.00000057652
Step-by-step explanation:
5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)
0.00000057652>0.0000005764 (65>64)
Therefore 0.00000057652 is greater.
Hope this helped! ^^
I bought 2 books. One cost twice as much as the other. Together they cost £3.45.
How much did the dearer book cost?
Answers
We can express this as:
x + 2x = £3.45
We can solve for x with no additional work.
x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15
Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.
x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)
Which of the expressions shown evaluate to negative rational numbers? Select all that apply. Multiple select question. cross out A) ( − 9 ) 4 cross out B) ( − 4 5 ) 3 cross out C) ( − 3 8 ) 2 cross out D) 3 5 − 10 4 cross out E) ( 9 . 8 ) 2 − 10 2
Answers
The negative rational numbers are -9/ 4, -20/ 3 . Option A and B
What are rational numbers?A rational number can be defined as a number that is expressed as a fraction where both the numerator and the denominator are integers.
Examples of rational numbers are;
-1/ 2, 3/ 5, 9/ 2 -3/ 5
Given the expressions;
(-9)/ 4 = -9/4(-4 5) /3 = - 20/ 3(-3 8 ) /2 = -24/ 2 = -12(3 5) - 10/ 4 = 15 - 10/ 4 = 5/ 4(9. 8)2 - 10(2) = 72(2) - 20 = 144 - 20 = 124The rational numbers are -9/4 , -20/ 3 , 5/4
Thus, the negative rational numbers are -9/ 4, -20/ 3 . Option A and B
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14. Name one pair of rays that are not opposite rays.
Answers
Answer:
nothing there
Step-by-step explanation:
21. Find the y-coordinate of point M, the midpoint of AB, for A(-3, 3) and B(5, 7).
(Lesson 1-4)
A. -1
B. 1
C. 2
D. 5
Answers
Answer:
The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].
Step-by-step explanation:
Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.
If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:
[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].
In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].
In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].
I would love these answer please
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The relation 1 is not a function, while the relation 2 is a function
How to determine if each relation is a function or not?For a relation to be a function, the following must be true:
Each y value in the function must have a unique x value
i.e. Each y value must have exactly one x value
Using the above as a guide, we have
Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4
Relation 2: This relation is a function, because each y value must have exactly one x value
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(2x6)^3/2 in simplest form
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(2x6)^3/2 in it's simplest form is equal to 41.56. See the computation below.
What is the simplification of the above expression?Using BODMAS, we say
(2 x 6) = 12
12^(3/2)
= 41.5692
[tex]$\approx$[/tex] 41.56
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A basketball team raised $200 to purchase new jerseys. there are 8 people on the team and jerseys cost $22 each. with the extra money, the team would like to purchase socks at $5 per pair.
write an inequality that describes the situation and solve it. what is the greatest number of pairs of socks the team can purchase? explain your answer.
Answers
The inequality that describe the situation is (22 x 8) + (5 x S) = 200 and with the money left over, the team will be able to buy 4 pairs of socks, and there will be $4 left over.
Inequality:
Inequality means relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
A basketball team raised $200 to purchase new jerseys.
There are 8 people on the team and jerseys cost $22 each.
With the extra money, the team would like to purchase socks at $5 per pair.
Here we need to find the inequality that describes the situation and solve it. And also we need to find the greatest number of pairs of socks the team can purchase.
Let S be the number of Socks they brought.
Based on the given details,
The following inequality must be raised:
=> (22 x 8) + (5 x S) = 200
When we solve it,
=> 176 + 5S = 200
=> 5S = 200 - 176
=> 5S = 24
=> S = 24 / 5
Here the S has the value of 4 and the remaining is 4.
Therefore,
with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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9. If h(x)=√x-3 +5, then for what value(s) of 10
x does h(x) = 3?
Answers
Answer:
There are no values of x that make this equation true.
Step-by-step explanation:
We know h(x)=[tex]\sqrt{x-3} +5[/tex]
So lets substitute h(x) for 3
3=[tex]\sqrt{x-3}+5[/tex]
We are going to then subtract 5 from each side leaving us with
-2=[tex]\sqrt{x-3}[/tex]
We then need to get rid of the square root, so we will square both sides. which gives us
4=x-3
We then need to subtract 3 from both sides which leaves us with
x=1
However, when you substitute 1 for x into the original equation, you get
h(x)=[tex]\sqrt{-2}+5[/tex]
Which is not equal to 3
Therefore, there are no values of x that make this equation true.
PLEASE HELP
i don’t understand geometry that well and i need to get this in soon
Answers
Step-by-step explanation:
Take Reference of Z-angle forward and backward and X-Angle if none are in this category then write none.
-Mark As Brainliest If It Helped You Out
6/4 + 0.68
Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
Multiple choices accepted
Group of answer choices
1.2 + 0.68 should have equaled 8.0
1.2 + 0.68 should have equaled 0.80
6/4 should have been changed to 1.5
6/4 should have been changed to 1.24
PLEASE ANSWER FASTTT IM TIMED
Answers
Answer
1.2 + 0.68 should have equaled 0.80
Step-by-step explanation:
jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct
How to solve the problemTo find the correct answer, let's first evaluate the expression step by step:
1. 6/4 is equal to 1.5, not 1.2.
2. 1.5 + 0.68 equals 2.18, this is not 1.88.
So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.
Therefore, the correct calculation is 1.5 + 0.68 = 2.18.
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five less than twice a number is 7 algebraic expression
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solved algebraically, X=6
Which of the following options are examples of how you can name the angle? Select all that apply.
Answers
Answer:
∠A
∠EAU
∠UAE
Step-by-step explanation:
You can name an angle by their middle vertex letter which, in this case, is A.
You can also name an angle using the three letters provided: E, A, U.
However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.
Let me know if you don't understand or need more explanation.
vertical shrink by a factor of 1/4 of the graph of g(x)=|x|
Answers
The equation of the function after translation: [tex]$y=\frac{|x|}{4}$[/tex]
The y values advance toward the x-axis as they are multiplied by a value between 0 and 1. This is known as a vertical shrink and tends to flatten the graph.
When a base graph is multiplied by a particular factor larger than 1, vertical stretch happens. As a consequence, the graph is stretched outward while keeping the input values (or x). We anticipate that the y values in a function's graph will be further away from the x-axis when it is vertically extended.
The y-values are multiplied by a value between 0 and 1, which causes them to travel in the direction of the x-axis. This is known as a vertical shrink and tends to flatten the graph. A point (a,b) on the graph of y=f(x) y = f (x) shifts to a point (a,kb) (a, k b) on the graph of y=kf(x) y = k f (x) in both scenarios.
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quadratic function - which one of these is a quadratic function
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Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
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Answer: 49,000 molecules = 4.9*10⁴ molecules
Step-by-step explanation:
49,000=
49*10³=
4.9*10⁴ molecules
can someone help, fasttt!
Answers
Answer:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Step-by-step explanation:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Given the function f(x)=-6x-1, then what is f(-x) as a simplified polynomial?
Answers
Choose the expression that is equivalent to a fraction with seven raised to the negative third power in the numerator and the quantity three raised to the negative second power times seven squared end quantity in the denominator and the entire fraction is cubed.
need answer ASAP pls answer quick
Answers
The expression that is equivalent to the given expression is 3⁶/7¹⁵
Simplifying an expressionFrom the question, we are to determine the expression that is equivalent to the given expression
The given expression is
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
Simplifying
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
[tex]\left(\frac{7^{-3 \times 3} }{3^{-2 \times 3} \times 7^{2 \times 3}} \right)[/tex]
[tex]\left(\frac{7^{-9} }{3^{-6} \times 7^{6}} \right)[/tex]
= [tex]\left( 7^{-9} \times \frac{1}{3^{-6}} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left( \frac{1}{7^{9} } \times 3^{6} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left(\frac{3^{6} }{7^{9} \times 7^{6}} \right)[/tex]
= [tex]\frac{3^{6} }{7^{9+6}}[/tex]
= [tex]\frac{3^{6} }{7^{15}}[/tex]
Hence, the expression that is equivalent to the given expression is 3⁶/7¹⁵
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The formula for simple interest is I=Prt.
a. Solve the formula for t.
t= ___
b. Use the new formula to find the value of t in the table.
The value of t in the table is____years.
Answers
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
Simple InterestFrom the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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Raj is visiting the United States and needs to convert 2,000 rupees to US dollars how much would he get
Answers
Answer:
25,09
Step-by-step explanation:
So, you've converted 2000 Indian Rupee to 25.145200 US Dollar. We used 79.538043 International Currency Exchange Rate. We added the most popular Currencies and CryptoCurrencies for our Calculator. You can convert Indian Rupee to other currencies from the drop down list. Selling 2000 Indian Rupee you get 25.145200 US Dollar
Answer:
$ 26
Step-by-step explanation:
Current exchange rate : 1 ruppee / .013 dollar
2000 r / (1 r / .013 dollar) = 26 dollars
if LM=MP, then M must be the midpoint of LP.
True or False?
Answers
Answer:
True
Step-by-step explanation:
dividing both sides by M you are left with L=P
6. Find the number that can be added to 207 to make the sum divisible by 17.
Answers
Answer: 14
207+14 = 221
221/17 = 13 (so the sum of 207 and 14 is divisible by 17)
Help me out, Im not understanding what my answer is
Answers
1) distribute what is outside of the brackets
in this case we would times (4m -3) by 6 and (4m + 11) by 4
24m - 18 + 6 = 16m + 44
2) get the like terms on the same side
24m - 16m = 44 + 18 - 6
(the signs of the terms you’re moving have to change)
3) calculate
8m = 56
56 / 8
m = 7
1. If we are told that (x+4)(x+7)=0, then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
2. If we are told that (3x-7)(2x+5)=0 then what can we infer?
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
3.We want to solve the equation x^2-3x-40=0
First factor x^2-3x-40: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
4.We want to solve the equation 3x^2-11x-42=0
First factor 3x^2-11x-42: ___
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
5.We want to solve the equation 10x^2+9x+2=0
First factor 10x^2+9x+2
By zero product property we know: __ = 0 OR __ = 0
And therefore we know that X=__ OR X= ___
Answers
1. x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. 3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. (x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
How to determine the values1. (x+4)(x+7)=0
We have that;
Zero product property;
x + 4 = 0 or x + 7 = 0
x = -4 or x = -7
2. (3x-7)(2x+5)=0
We have that;
Zero product property ;
3x - 7 = 0 or 2x + 5 = 0
x = 7/ 3 or x = -5/ 2
3. x² -3x - 40=0
x² -8x + 5x - 40 = 0
factorize the common multipliers
x(x - 8) + 5(x - 8) = 0
Zero product property;
x + 5 = 0 or x -8 = 0
x = -5 or x = 8
4. 3x² - 11x - 42=0
3x² +7x - 18x - 42 = 0
Factorize further
x(3x + 7) - 6(3x + 7) = 0
Zero product property;
(x - 6) = 0 or (3x + 7) = 0
x = 6 or x = -7/ 3
5. 10x² + 9x + 2 = 0
10x² + 5x + 4x + 2 = 0
Factorize
5x( 2x + 1) + 2 (2x + 1) = 0
Zero product property;
5x + 2 = 0 or 2x + 1 = 0
x = -2/ 5 or x = -1/ 2
Thus, the zero product property states that the product of two non-zero elements is not zero
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i don’t understand this i already tried but got 1.25 bad i’m pretty sure it’s wrong
Answers
Answer:
Smallest integer=14
Step-by-step explanation:
(x+x+2+x+4+x+6)/4=17
(4x+12)/4=17
4x+12=68
4x=68-12
4x=56
x=56/4
x=14
numbers are: 14, 16, 18, 20
Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?ll
Answers
The equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?
n = (1/2)(1/5)
n = (1/2)(5/1)
n = (1/2)(5)
n = (1/2)
From the data given in the question:
Let n be the fraction of a quart of grape juice n that is in each glass:
n = (1/2)(1/5)
Thus, the equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
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