Answer:
n = 41/10 OR 4.1
Step-by-step explanation:
10n + 2 =43
10 + 2 - 2 = 43 - 2
10n = 43 - 2
10n = 41
10n/10 = 41/10
n = 41/10
Answer:
n = 41/10Step-by-step explanation:
10n + 2 = 43 what is the value of n
10n + 2 = 43
10n = 43 - 2
10n = 41
n = 41/10
-------------------
check
10 * 41/10 + 2 = 43
41 + 2 = 43
43 = 43
the answer is good
x is less than or equal to 1.
0x<1
01sx
Ox21
Ox≤ 1
Answer:
the correct answer is O. x ≤ 1
Step-by-step explanation:
the rest are wrong because of the equal to sign in inequalities
Work out the equation of the line which has a gradient of ½ and passes through the point (4,2).
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \underset{gradient}{\stackrel{slope}{m}} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y - 2 = \cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x[/tex]
solve the literal equation 3y-6x=-2 for y
Answer:
y = -⅔+2x
Step-by-step explanation:
Hope this helps!!
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in slope-intercept form is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
The equation for y is y = 2x - 2/3
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 4 is an equation.
2x = 4x is an equation
We have,
3y - 6x = -2
Add 6x on both sides.
3y = -2 + 6x
3y = 6x - 2
Divide both sides by 3.
y = (6x - 2)/3
y = 2x - 2/3
This is in the form of an equation in slope-intercept form.
The equation in slope-intercept form is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
Thus,
The equation for y is y = 2x - 2/3
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not tile A 10 x 12 plane
Answer:120
Step-by-step explanation:
so if its a 10x12 plane that would be 10 12 times so 10+10+10+10+10+10+10+10+10+10+10+10
or 12+12+12+12+12+12+12+12+12+12
How many gallons did the tub start with?
Answer:
15g i think sorry if i am rong but i tryed
Step-by-step explanation:
hello can someone please explain?
A bag of sand originally weighing 144 lb was lifted at a constant rate. As it rose, sand also leaked out at a constant rate. The sand was half gone by the time the bag had been lifted to 18 ft. How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
Using a linear function and the work integral, it is found that the work that was done lifting the sand this far is of 944 ft-lb.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For the weight of the bag of sand in this problem, we have that:
The initial weight of the bag was of 144 lb, hence the y-intercept is of b = 144.When the bag had been lifted 18 ft, 0.5 x 144 = 72 lb were gone, that is, 4 lb were gone for each ft the bag was lifted, hence the slope is of m = -4.Hence the weight of the bag after being lifted x feet is given by:
W(x) = 144 - 4x.
What is the work of a function?The work realized for a function f(x) in an interval [a,b] is given by the following integral:
[tex]W = \int_{a}^{b} f(x) dx[/tex]
For this problem, the function and the bounds of the interval are given as follows:
f(x) = 144 - 4x.a = 0, b = 18.Hence the work is given by:
[tex]W = \int_{a}^{b} (144 - 4x) dx[/tex]
W = 144x - 2x², from x = 0 to x = 18.
Applying the Fundamental Theorem of Calculus:
W = 144(18) - 2(18)² - 144(0) + 2(0)² = 1944 ft-lb.
The work that was done lifting the sand this far is of 944 ft-lb.
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In Exercises 6-8, poing M is between L and N on line LN. Write an eqeustion in tems fo x. LM=x squared, MN = x squared + 9x LN =56
The equation expressed in terms of x is x = √47/ 2
What is a line segment?A line segment can be defined as the part of a line that connects two points which are considered to be its endpoints.
From the information given, we have that LN is a line with segments LM, MN and LN and M is the midpoint between L and N
Now, the equation is expressed as;
LM + MN = LN
Where;
LM = x²MN = x² + 9LN = 56Substitute the values
x² + x² + 9x = 56
collect like terms
2x² = 56 - 9
2x² = 47
To make 'x' the subject of formula
x² = 47/ 2
Find the square root of both sides
x = √47/ 2
Thus, the equation expressed in terms of x is x = √47/ 2
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The summary of the payroll for the monthly pay period ending July 15 indicated the following:
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
Required:
Journalize the entries to record (a) the payroll and (b) the employer's payroll tax expense for the month. The state unemployment tax rate is 3.1%, and the federal unemployment tax rate is 0.8%. Only $25,000 of salaries are subject to unemployment taxes. Refer to the Chart of Accounts for exact wording of account titles.
The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:
Journal Entries:a) The payroll:
Debit Sales salaries $125,000
Debit Office salaries 35,000
Credit:
Federal income tax withholding payable 32,300
Medical insurance withholding payable 7,370
Social security tax withholding payable 10,200
Medicare tax withholding payable 2,550
Cash $107,580
To record the monthly payroll.b) The employer's payroll tax expense:
Debit Payroll Tax Expense $975
Credit:
Federal Unemployment Tax Payable $200
State Unemployment Tax Payable $775
To record the employer's payroll tax expense for the month.Data and Transaction Analysis:SUTA = 3.1% of $25,000 = $775
FUTA = 0.8% of $25,000 = $200
Sales salaries $125,000
Federal income tax withheld 32,300
Office salaries 35,000
Medical insurance withheld 7,370
Social security tax withheld 10,200
Medicare tax withheld 2,550
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A ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s.
The values of t for which the ball's height is 16 feet are 1.84s and 0.41s
From the question, we are to determine all values of t for which the ball's height is 16 feet
From the given information,
The equation that represents the ball's height (in feet) after t second is
h = 4 + 36t - 16t²
To determine all values of t for which the balls height is 16 feet, we will put h = 16 in the equation
That is,
h = 4 + 36t - 16t² becomes
16 = 4 + 36t - 16t²
Rearranging
16t² - 36t + 16 - 4 = 0
16t² - 36t + 12 = 0
Divide through by 4
4t² - 9t + 3 = 0
Solve the quadratic equation using the general formula
t = [-b±√(b²-4ac)]/2a
a = 4, b = -9, c = 3
t = [-(-9)±√((-9)²- 4(4)(3))]/2(4)
t = [9±√(81- 48)]/8
t = [9±√(33)]/8
t = [9±5.74]/8
t = [9+5.74]/8 or [9-5.74]/8
t = 14.74/8 or 3.26/8
t = 1.84 or 0.41
Hence, the values of t for which the ball's height is 16 feet are 1.84s and 0.41s
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Solve showing all work and simplify completely:
7/15 + 1/3
Answer: 4/5
Step-by-step explanation:
7/15 + 1/3
(7/15 x 1/1) (1/3 x 5/5) = ?
7/15 + 5/15 = ?
7+5/15 = 12/15
12/15 both sides divided by 3 = 4/5
therefore
7/15 + 1/3 = 4/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{7}{15} + \dfrac{1}{3}}[/tex]
[tex]\mathsf{= \dfrac{7}{15} + \dfrac{1\times5}{3\times5}}[/tex]
[tex]\mathsf{= \dfrac{7}{15} + \dfrac{5}{15}}[/tex]
[tex]\mathsf{= \dfrac{7 + 5}{15 - 0}}[/tex]
[tex]\mathsf{= \dfrac{12}{15}}[/tex]
[tex]\mathsf{= \dfrac{12\div3}{15\div 3}}[/tex]
[tex]\mathsf{= \dfrac{4}{5}}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{4}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=45(0.974)^x
Given function y =45(0.974)ˣ is a function of exponential decay and percentage rate of decrease is 2.6%.
What is an exponential function?The exponential function is an function f(x) = a(b)ˣ
a = initial amount when x= 0
b= base that is multiplied and it is greater than 0
And x is the variable in the exponent
When b> 1 , the values of this function goes up and up and then this function shows exponential growth.
When 0< b< 1, the values of this function becomes smaller as x increases then this function shows exponential decay.
And r is the percentage rate of change where b =r +1
Given function is y = f(x) = 45(0.974)ˣ
When we compare it with standard function f(x) = a(b)ˣ
we get a = 45 and b =0.974
As b is between 0 and 1 in this case, therefore this function is exponential decay.
b =r+ 1
therefore r = b-1 = 0.974-1 = -0.026
converting 0.026 to percentage we get -0.026*100= -2.6% ( negative sign shows decrease)
Therefore, we can say that the given function represents exponential decay function and rate of decrease is 2.6%
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[2^3x(152 divided by 8)]-52
Answer:
152x-52
Step-by-step explanation:
The value of the expression after division is A = 100
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2³ ( 152 / 8 ) - 52 be equation (1)
On dividing the equation by 8 in the expression , we get
On simplifying the equation , we get
A = 8 ( 19 ) - 52
On further simplification , we get
A = 152 - 52
A = 100
Therefore , the value of A is after the division is 100
Hence , the equation is A = 100
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Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
-7 ≤ x ≤ -4
Step-by-step explanation:
You want a compound inequality that expresses the same relation as a number line graph with solid dots at -7 and -4, and shading between.
Meaning of the graphThe graph shown is indicating values of x lie between -7 and -4, including those values. As an inequality, this is written ...
-7 ≤ x ≤ -4
A. A car can go 33 miles on one gallon of gas. Gas costs $4.20 per gallon. How far can the car go for $25.00?
Set up a calculation with units to answer this question.
Type a 1 in any number boxes you don't need. Choose "no unit" for any unit pulldowns you don't need.
Answer:
199 miles
Step-by-step explanation:
if you multiply 33 in 6 places it gives 198 then you plus 1 to get $25.00
GOOD RIGHT please rate
An object is moving at a speed of 5 kilometers every 4.5 hours. Express this
speed in miles per minute. Round your answer to the nearest hundredth.
(1 km
0.621 mile)
Speed is 0.01 miles per minute.
we know speed is = distance/ time
since we need speed in miles per minute we need to convert km into miles.
and hours in minute.
distance= 5km
1km= 0.621371 miles
5km= 50.621371 miles = 3.10686 miles= 3.12 miles
1hour= 60 minutes
4.5 hour = 4.5×60 minutes=270 minutes
speed= distance in km/time in minutes=3.12 miles/270 minutes
speed = 0.012 miles per minute
speed is 0.01 miles per second.
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Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift.
How long did she take to paint
each room?
O 50 minutes
O 1 hour and 10 minutes
O 1 hour and 12 minutes
O 1 hour and 15 minutes
-2x^2+4x=5
using the Quadratic formula, the equation needs to be in standard form first. Then label a, b and c and plug it into the quadratic formula and simplify using the order of operations. I
The solution by using the quadratic formula is,
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
What is Quadratic formula?
To solve a quadratic equation ax²+ bx + c = 0 , we use the quadratic formula,
x = - b ± √b² - 4ac / 2a
The given expression is;
- 2x² + 4x = 5
Now, The given equation is solve by using Quadratic formula as;
- 2x² + 4x = 5
Move terms to the left side
- 2x² + 4x - 5 = 0
- ( 2x² - 4x + 5 ) = 0
2x² - 4x + 5 = 0
Compare with quadratic equation ax²+ bx + c = 0 we get;
a = 2, b = -4, c = 5
Since, Quadratic formula is,
x = - b ± √b² - 4ac / 2a
Hence, Substituting all the values of a, b and c in quadratic formula we get;
x = - (-4) ± √(-4)² - 4*2*5 / 2*2
x = 4 ± √16 - 40 / 4
x = 4 ± √-24 / 4
x = 4 ± 2√-6 / 4 ( Since, i = √-1 )
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
So, The solution by using the quadratic formula is,
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
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In the college there are 1400 male students and 1050 female students.
Select one:
O a. Absolute difference: 350
Relative difference: 3.3%
O b. Absolute difference: 350
Relative difference: 33.3%
O c. Absolute difference: -350
Relative difference: -25%
O d. Absolute difference: 350
Relative difference: 25%
Answer:
B.
Give me brainliest answer
I hope I could help
Sue wrote a double fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she have written?
When Sue wrote a double fact. It has a sum less than 10 and greater than 4. The addends are each less than 5, the numbers that she wrote include 4+4 and 3+3.
How to illustrate the information?It is given that the sum is greater than 4 and smaller than 10.
If the sum is less than 10 and greater than 4 that limits you to 5,6,7,8,9
It should be noted that 5+5 is 10, and the sum has to be lower then 10.
The addends are less than 5 so it could be 4+4, 4+3, 4+2, 4+1
This shows that Sue might have written 5,6,7, or 8.
Therefore, the numbers are 3+3 and 4+4.
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There are 3 triangles and 15 circles. What is the simplest ratio of triangles to total shapes?
3:15=3/15
The numerator and the denominator can both be divided by 3.
so, it is 1/5 which is equal to 1:5.
The simplest ratio of triangles to total shapes is 1 : 6.
Given that, there are 3 triangles and 15 circles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, total number of shapes
= 3+15
= 18
Now, ratio of triangles to total shapes is 3 : 18
So, the simplest form = 1 : 6
Hence, the simplest ratio of triangles to total shapes is 1 : 6.
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I will give brainlist
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
negative 10 and 15 over 42
negative 8 and 5 over 42
negative 2 and 23 over 90
negative 2 and 1 over 2
The value of the expression given as [tex]4 \frac{5}{6} \div - 2\frac 17[/tex] is [tex]-2\frac{23}{90}[/tex]
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the expression?The expression is given as
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
Rewrite the above expression properly as follows:
Divide 4 5/6 ÷ -2 1/7
Using LaTeX, the above expression can be further represented as
[tex]4 \frac{5}{6} \div - 2\frac 17[/tex]
Rewrite the above fractions and express it as improper fractions
[tex]\frac{29}6 \div -\frac{15}7[/tex]
Rewrite the above fractions and express it as products
[tex]\frac{29}6 \times -\frac7{15}[/tex]
Evaluate the product in the above expression
[tex]-\frac{203}{90}[/tex]
Rewrite the above expression as a mixed fraction
[tex]-2\frac{23}{90}[/tex]
Hence, the value of the expression given as [tex]4 \frac{5}{6} \div - 2\frac 17[/tex] is [tex]-2\frac{23}{90}[/tex]
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Robel is unsure of how many nights he will stay in Los Angeles.
a) Write an equation that will allow Robel to calculate what his total cost will be if he is charged $52 as a one-time fee and the cost per night is $94.
b) What will be Robel’s total cost if he decides to stay 3 nights. Show all your work to justify your answer.
We need to know about
linear equation
to solve this problem. (a) The equation that will allow Robel to calculate what his total cost will be is 52+94n (b) Robal's total cost if he decides to stay 3 nights is $334
A
linear equation
is one that has
one or two variables
in it, the variables in a linear equation are linearly related to each other which means that the graph of such an equation is a straight line.
In part (a) it is said that Robel is charged $52 as a one time fee and the
cost per night
is $94, let us consider the
total cost to be t
and the
number of nights he stays be n,
then the equation for the total cost will be
t=52+94n
In part (b) we have to find out the total cost if he stays 3 nights, which means n=3,
substituting the value of n
in the equation for total cost
t=52+94x3=334
Therefore we found out that the
equation for Robel's total cost
is 52+94n and the total cost if he stays for 3 nights is $334.
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A die is rolled twice. What is the probability rolling a 3 first, followed by rolling an even number? Leave your answer as a reduced fraction.
The probability of rolling a 3 first, then an even number, is 1/12.
What do we mean by probability?Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are. Statistics is the study of events governed by probability.So, in the given situation the first roll has no effect on the second roll because they are separate events.
Because they are independent, the probabilities of the two events can be multiplied.
The probability of getting a 3 is 1/6.The probability of getting an even number is 1/2 (2, 4, 6).Now, we will multiply the two probabilities as follows:
1/6 × 1/2 = 1/12Therefore, the probability of rolling a 3 first, followed by rolling an even number is 1/12.
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In a game experience, the level of monsters, L, is measured by the formula L= 250M E, where M=number of monsters and E=experience of monsters. Solve the formula for E
The formula for E is given as E = L/250M
According to the question we have been given that the level of monsters is measured by as follows
L = 250M E (1)
where , M = number of monsters
E = experience of monsters.
Now we need to find the formula for E. For that we will solve equation (1) for E .
L = 250M E
Dividing both the sides by 250M we get
L/250M = E
or, E = L/250M
Thus above is the equation or the formula for E.
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ill give brainly and 10 points
|3.7−(−1.5)|
The initially reported temperature was 3.7 however the temperature changed to -1.5.
The scale on a map uses 1 cm to represent 10 km which proportion could be used to determine the number of kilometers represented by 8
The number of kilometers represented by 8cm is 80km.
According tot he question we have been the proportion of scaling on the map which is as follows:
1 cm : 10 km or it is also written as 1cm/10km
We need to find the number of kilometers represented by 8 cm
Let the number of kilometers that we need to find be x km. Mathematically the proportion can be written as
8 cm : x km or it is written as 8cm / x km
Also both the proportion will be equivalent. Therefore, the proportion is equal to
1/10 = 8/x
we will solve this for x, we get
x = 8*10
x = 80 km
Hence the number of kilometers represented by 8cm is 80 km
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Solve the system of equations by the elimination method.
-x + 2y = 0
x + 2y = 7
Answer:
[tex]\left \{ {{-x+2=0} \atop {x+2y=7}} \right.[/tex]
-x + 2 = 0 --> -x = -2
x + 2y = 7 --> x + 2y = 7
________
2y = 7-2 = 5 --> y = 5/2
x = -2y + 7 --> x = -5 + 7 --> x = 2
---
Have a nice day!
ILL GIVE BRAINLY PLEASE HELP
Answer:
B
Step-by-step explanation:
a c and d are unessecary answers
write ____ as a single power of 5
Answer:
[tex]5^{14/5}[/tex]
Step-by-step explanation:
[tex]\frac{5^3}{5^{1/5}} \\ \\ 5^{3-\frac{1}{5}} \\ \\ =5^{14/5}[/tex]