Answer:
n = 21
Step-by-step explanation:
5(n-7)=2(n+14)
Distribute
5n -35 = 2n+28
Subtract 2n from each side
5n-2n -35 = 2n-2n +28
3n-35 =28
Add 35 to each side
3n-35+35 = 28+35
3n = 63
Divide by 3
3n/3 = 63/3
n =21
Answer:
The answer is n=21.
Step-by-step explanation:
To solve the equation for (n), start by using the distributive property on both sides of the equation. The distributive property is multiplying the sum of two or more addends by a number which will give the same result as multiplying each addend individually by the number and then adding the products together.
The equation will look like [tex]5n-35=2n+28[/tex] after using the distributive property. Next, add 35 to both sides of the equation, which will look like [tex]5n=2n+63[/tex], and then subtract (2n) from both sides of the equation, which will look like [tex]3n=63[/tex]. The next step is to simplify the equation, which will look like [tex]n=21[/tex], and the final answer to the equation will be [tex]n=21[/tex].
Can someone help me out?
Answer:
I think it's D.................
Which Equations Represent linear Functions? (pick all that apply)
A: y=x
B: y=2x
C: y=x^2
D: y=2/x
which is the simplified form of the expression
please help!!
Answer:
A
Step-by-step explanation:
p^-8q^-20 * p^8q^-10
=q^-30
=1/q^30
Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10
Answer:
e^0=x^2-25=1
x^2=26
x=sqrt(26), pos and neg
The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is ln(x²-25)=0
x²-25>0
(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))
x>-5 and x>5
Now, e⁰=x²-25
1=x²-25
x²=26
x=±√26
Therefore, option C is the correct answer.
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What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4
Step-by-step explanation:
Add all the data and divide by 2 to get your median
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
17, 8, 23, 14, 15, 38.5, 8, 15.4
Arrange the data in ascending order, then we have
8, 8, 14, 15, 15, 15.4, 17, 23, 38.5
The number of the term will be 9, then the median will be
Median = (n + 1) / 2
Median = (9 + 1) / 2
Median = 10 / 2
Median = 5th term
5th term that is 15.
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
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8.
The
square of a number is always greater than the number.
Answer:
The above given statement is true
Terminating Decimal between .5 and .6
What is the volume, in ml, of 100. grams of mercury? Mercury has a density of 13.54 g/mL
(which means 1mL=13.54 g).
13.54 g/mL = (100 g)/v
==> v = (100 g)/(13.54 g/mL) = 7.39 mL
The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.
To calculate the volume of 100 grams of mercury, we can use the density formula:
Density = Mass / Volume
We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.
Volume = Mass / Density
Substituting the given values:
Volume = 100 g / 13.54 g/mL
Simplifying the division:
Volume= 7.38 mL
Therefore, the volume of 100 grams of mercury is 7.38 mL.
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In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
What is the value of 2-3. 22,
Pls help quick
Answer:
-1.22
Step-by-step explanation:
3/2 x -6
hahshdnndndndjd
Find the value of x (trig)
According to the figure:-
P=13H=25We know that Sin∅=P/H
Hence Sinx°=13/25
[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]
Be brainlyEvaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.
Answer:
-20
Step-by-step explanation:
Hi
The value of the expression is a decimal -17.33.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.3x = -5 - (-0.4 - (-0.6))
0.3x = -5 - (-0.4 + 0.6)
0.3x = -5 - 0.2
0.3x = -5.2
x = -5.2/0.3
x = -17.33
Thus,
The value of x is -17.33.
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Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 10 times t squared plus 50 times t end quantity over the quantity t squared plus 4 times t plus 3 end quantity comma where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points) Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.
The domain of the function is [tex]t \ge 0[/tex] The greatest concentration of the medication is 5mg/LGiven that:
[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]
(a): The domain of the function
Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.
t, cannot take negative values (i.e. it is not possible to have a negative time).
The least possible value of t is 0
So, the domain of the function based on the context is:
[tex]t \ge 0[/tex]
(b) The greatest concentration of the medication
From the graph (see attachment), the maximum y-value is 5.
Hence, the greatest concentration of the medication is 5 mg/L
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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.
B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.
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convert 0.2 kg into mg
Answer:
The answer is 200000 milligrams
Hope that helped you
Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106
Answer:
adding by 13
Step-by-step explanation:
subtract 54-41
Angle AOE has what measurement according to the protractor?
A. 140°
B. 60°
C. 40°
D. 120°
Answer:
120°
Step-by-step explanation:
The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.
Answer:
120
Step-by-step explanation:
The gradient of the line joining (4, q) to (6, 5) is twice the gradient
of the line joining (0, 0) to (4, q). Find q.
Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
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5x = y
identify the slope and y intercept for the line
Answer:
the slope is 5
and the intercept is 0
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers
Answer:
The first number = 4The second number = 6The third number = 8Step-by-step explanation:
Let all unknown numbers be represented by the variable x.So;x = first number
x + 2 = second number
x + 4 = third number
placing in a form as demanded by the question.5(x + 2) = 6 + 2x + 2 ( x + 4)
5x + 10 = 6 + 2x + 2x +8
5x - 4x = 14 - 10
x = 4
Therefore;The first number (x) = 4
The second number ( x + 2) = 4 + 2 = 6
The third number (x + 4) = 4 + 4 = 8
Answer:
2x + 2x +2 + 2x +4 = 6x +6 =Sum
5 * (2x +2) = 2 * (2x + 2x +4) +6
10x + 10 = 8x + 8 + 6
2x = 4
x = 2
So the numbers are:
2x or 4
2 x + 2 = 6
2x + 4 = 8
Double-Check
5 * 2nd integer = 30
2 * (1st + 3rd integers) = 24
30 is 6 more than 24
Success!!!
Step-by-step explanation:
This is finding the midpoint. Please help
Answer:
hence the required midpoint of the given line is (9,5)
Answer:
[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]
The answer is :(4, 10)
a man bought a 4 kg apples at the rate of rs 50 per kg he sold 3 kg apples at the rate of rs 65 and 1 kg apples at rs 40 find his profit or loss amount.
Answer:
35rs of profit
Step-by-step explanation:
4*50=200rs- he spent
3*65+1*40=195+40=235rs- he got
235-200=35rs of profit
Find the value of the expression 3m^2 + 2p^2 - 15 when m = 3 and p = 10
( 9th grade algebra 1 )
Answer:
212
Step-by-step explanation:
[tex]3( {3}^{3}) +2 ( {10}^{2} ) - 15[/tex]
[tex]3(9) + 2(100) + 15[/tex]
[tex]27 + 200 - 15[/tex]
[tex]212[/tex]
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x < 2?
Please find the value of x and y. It's in angle addition postulate so if you know how to solve these please help.
Answer:
see explanation
Step-by-step explanation:
(7)
(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then
25x + 8 + 9x + 2 = 180 , that is
34x + 10 = 180 ( subtract 10 from both sides )
34x = 170 ( divide both sides by 34 )
x = 5
Then
9x + 2 = 9(5) + 2 = 45 + 2 = 47
(7y + 5) and (9x + 2) are vertical angles and are congruent , so
7y + 5 = 47 ( subtract 5 from both sides )
7y = 42 ( divide both sides by 7 )
y = 6
------------------------------------------------------
(8)
(11x - 24) and (7x + 30) are vertical angles and are congruent, so
11x - 24 = 7x + 30 ( subtract 7x from both sides )
4x - 24 = 30 ( add 24 to both sides )
4x = 54 ( divide both sides by 4 )
x = 13.5
Similarly
(17y - 4) and (5y + 38) are vertical angles and congruent , then
17y - 4 = 5y + 38 ( subtract 5y from both sides )
12y - 4 = 38 ( add 4 to both sides )
12y = 42 ( divide both sides by 12 )
y = 3.5
RS=3y+5, ST=2y+9, RT=54. what is the value of y?
Answer:
56
Step-by-step explanation:
show your work
a point, ray, line, segment or plane which divides a segment into 2 congruent parts
Answer:
This is called a bisector.
