The solution to the given linear equation is t = 14
Solving Linear equationsFrom the question, we are to solve the given linear equation.
From the given information,
The given linear equation is
t - 5 = 9
To solve the equation, we will use the addition property of equality
Solving the equation
t - 5 = 9
Add 5 to both sides of the equation
t - 5 + 5 = 9 + 5
Simplify
t = 14
Hence, the solution is t = 14
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The information in the table is linear.
true or false
The table is not linear.
How do I solve 4x^2+6x=0 by factoring
Answer: [tex]x=0, -\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}[/tex]
By what percent will a percent change if its numerator is decreased by 10% and its denominator is decreased by 70%. Please answer ASAP!!!
The fraction will change by 200%.
Let the fraction is = x/y.
If its numerator is decreased by 10% then the new numerator is:
x - 10% of x
= x - 0.10x
= 0.90x
If its denominator is decreased by 70% then the new denominator is:
y - 70% of y
= y - 0.70y
= 0.30y
So the new fraction is = .
So the change in fraction is in percentage is:
So the fraction will change by 200%.
Ready
Linear Functions: Model from a Verbal Description-Instruction-Level H
Khloe spends the day in a state park. Then she hikes back to her car at a constant rate. After 1 h,
she is 8 miles (mi) from her car. After 3 h, she is 2 mi from her car.
Write an equation for Khloe's distance from her car in miles, y, as a function
of the time in hours, z.
y= x+ ?
The equation for Khloe's distance from her car in miles, y, as a function of the time in hours, x, is y = -3x + 11.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
We have the two points of x and y.
After 1 hour, Khloe is 8 miles from her car.
When x = 1, y = 8
After 3 hours, Khloe is 2 miles from the car.
When x = 3, y = 2
Points of the linear function are (1, 8) and (3, 2)
Slope of the line = (2 - 8) / (3 - 1) = -6/2 = -3
Take a point (1, 8).
Equation of the linear function in point slope form can be written as,
y - 8 = -3(x - 1)
y - 8 = -3x + 3
y = -3x + 3 + 8
y = -3x + 11
Hence the linear function representing the situation is y = -3x + 11.
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increased by 8 percent before it was 1.62
Answer:
Not rounded:
1.62 increased by 8% of the value = 1.7496
The actual change:
1.7496 - 1.62 = 0.1296
Rounded off to max. 2 decimal places:
1.62 increased by 8% of the value ≈ 1.75
The actual change:
1.75 - 1.62 ≈ 0.13
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
8% = 8 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
8% = 8/100 = 8 ÷ 100 = 0.08
100% = 100/100 = 100 ÷ 100 = 1
The value of the percentage increase = 8% × 1.62
The new value = 1.62 + The value of the percentage increase
The new value =
1.62 + The value of the percentage increase =
1.62 + (8% × 1.62) =
1.62 + 8% × 1.62 =
(1 + 8%) × 1.62 =
(100% + 8%) × 1.62 =
108% × 1.62 =
108 ÷ 100 × 1.62 =
108 × 1.62 ÷ 100 =
174.96 ÷ 100 =
1.7496 ≈
1.75
The actual change =
The new value - 1.62 =
1.7496 - 1.62 =
0.1296 ≈
0.13
The value of the percentage increase =
8% × 1.62 =
8 ÷ 100 × 1.62 =
8 × 1.62 ÷ 100 =
12.96 ÷ 100 =
0.1296 ≈
0.13
How much interest would you receive on a deposit of $525 for three months at a rate of 4.5%?
Round your answer to the nearest cent. Enter your answer in number form only. Do not attach a label.
Answer:
$5.91
Step-by-step explanation:
The amount of simple interest gained from a sum of money can be represented as:
[tex]\textrm{Interest} = P\cdot r\cdot t[/tex]
where [tex]P[/tex] is the principal amount (original sum of money), [tex]r[/tex] is the rate of simple interest per time period, and [tex]t[/tex] is the period of time in relation to a year.
To solve this problem, we simply have to plug the given values into the above formula and round the result to the hundredths place (cents).
[tex]P = \$525[/tex], [tex]r = \dfrac{4.5\%}{\textrm{month}}[/tex], [tex]t = 3 \textrm{ months} = \dfrac{1}{4} \text{ year}[/tex]
[tex]\textrm{Interest} = \$525 \cdot 4.5\% \cdot \dfrac{1}{4}[/tex]
[tex]\boxed{\textrm{Interest} \approx \$5.91}[/tex]
Answer:
$5.91 (nearest cent)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I=Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given values:
P = $525r = 4.5% = 0.045t = 3 monthsAs the value of t has been given in months, we need to convert it to years before inputting it into the formula.
[tex]\sf \implies 3\; months=\dfrac{3}{12}\;year=\dfrac{1}{4}\; year[/tex]
Therefore, the values to input into the formula are:
P = $525r = 4.5% = 0.045t = 1/4 yearSubstitute the values into the formula and solve for I:
[tex]\implies I=525 \cdot 0.045 \cdot \dfrac{1}{4}[/tex]
[tex]\implies I=23.625 \cdot \dfrac{1}{4}[/tex]
[tex]\implies I=5.90625[/tex]
Therefore, the amount of interest you would receive on a deposit of $525 for three months at a rate of 4.5% is $5.91 (nearest cent).
At what point will these two lines meet?
Graph both lines in the sketch box to find your answer
Y=2x-5
Y=-2/3x+3
Write your answer as an ordered pair with parenthesis.
The ordered pair which represents the point of intersection of the system of equations, y = 2x - 5 and y = -2/3x + 3 is: (3, 1).
How to Find the Solution of a System of Equations?The solution to a system of equations can be determined by graphing both equations that represent the lines on a coordinate plane. Search for the point where both lines intersect each other.
The point where they intersect each other is the ordered pair that represents the solution of the system of equations.
Given the following system:
y = 2x - 5
y = -2/3x + 3
y = 2x - 5 is the red line in the graph while y = -2/3x + 3 is the blue line.
Both lines intersect at (3, 1). Therefore, the solution to the system is: (3, 1).
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quadratic inequality solve x²-5x > 5
Answer:
x∈(-∞,-0.854)⋃(5.854,∞) or x<-0.854 or x>5.854
Step-by-step explanation:
depends on what u want
Find each missing measure for x, y, z please!!!
The histogram provided summarizes the high temperature recorded each day for one month. Which of the following conclusions is accurate accordin
the data provided?
A The temperatures were generally increasing throughout the first few weeks of the month.
B The most frequently recorded high temperature during the month was 78 degrees.
C There were fewer days with high temperatures between 77 and 80 degrees than between 65 and 76 degrees.
D There were an equal number of days with high temperatures of 81 degrees or higher and days with high temperatures of 76 degrees or lower.
PLS ANSWERR
Answer:
Step-by-step explanation:
Given the histogram provided, it is not possible to draw a conclusion as it doesn't show any data.
A histogram is a graphical representation of a dataset, showing the frequency of each data point in a specific range. The x-axis shows the range of data points, and the y-axis shows the frequency of each data point. Without the data, it's impossible to draw any conclusion.
In order to draw a conclusion, we need to know the data that the histogram represents, such as the range of temperatures, the frequency of each temperature, and the number of days in the month. Based on that information, we can draw conclusions about the data provided.
Which is a better buy: a 220 ml jar of Brand Y cream cheese at 44 AED or a 470 mL of
Brand Z cream cheese at 100 AED?
Answer:
To determine which cream cheese is a better buy, we need to compare the price per unit of volume for each brand.
For Brand Y cream cheese:
Price per unit = 44 AED / 220 ml = 0.2 AED/ml
For Brand Z cream cheese:
Price per unit = 100 AED / 470 ml = 0.2127 AED/ml
Since the price per unit of volume for Brand Y cream cheese is 0.2 AED/ml and the price per unit of volume for Brand Z cream cheese is 0.2127 AED/ml, Brand Y cream cheese is cheaper per unit of volume. Therefore, Brand Y cream cheese is a better buy.
Assume that u⋅v=5, ∥u∥=10, and ∥v∥=7.
What is the value of 3u⋅(9u−9v)?
Answer: 3u⋅(9u−9v) = 285
Step-by-step explanation:
We can start by using the distributive property for the dot product:
3u⋅(9u−9v) = 3u⋅9u - 3u⋅9v
We also know that the dot product of two vectors u and v is u⋅v = ∥u∥∥v∥cos(θ), where θ is the angle between vectors u and v. Therefore,
u⋅v = 5 = 107cos(θ)
So we can write:
cos(θ) = 5/(10*7) = 1/14
Then we can use this value to find the dot product of u and v.
3u⋅9u = 3 * (10^2) = 300
3u⋅9v = 3 * (10)(7)(1/14) = 15
So the final answer is:
3u⋅(9u−9v) = 300 - 15 = 285
Explanation: By using the distributive property and the dot product definition, it was possible to find the dot product of 3u⋅9u and 3u⋅9v. By subtracting the latter from the former, we obtained the final answer of 285.
Can anyone help me with this?
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]2 \frac{5}{8} = \frac{21}{8}[/tex]
Divide [tex]\frac{21}{8}[/tex] by [tex]\frac{3}{4}[/tex]
[tex]\frac{21}{8}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{7}{2}[/tex]
please help me thank you!
Answer:2200 seats per minute
Step-by-step explanation:
draw a line from 6 minutes upwards till your line and the line on the graph meet then where the line meets draw another line going across(left)
Read across (left side) and the number will be your answer
Calculate the amount of heat released when 27.0 g H2O is cooled from a liquid at 314 K to a solid at 263 K. The melting point of H2O is 273 K. Other useful information about water is listed below. Cp,liquid = 4.184 J/(g•K) Cp,solid = 2.093 J/(g•K) ΔHfusion = 40.7 kJ/mol
Step-by-step explanation:
The amount of heat released in the given situation would be as follows:
-66.2 KJ−66.2KJ
Given that,
Weight of H2OH2O = 27g=27g
The Temperature of the Liquid = 314 k=314k
The Temperature of the Solid = 263 K=263K
Melting point of H2O = 273 KH2O=273K
To find,
The amount of heat released = [Q[Q × C_{p}lC
p
l ×(T_{final} - T_{Initial} ) +(T
final
−T
Initial
)+ Δ Hfusion + [mHfusion+[m × C_{p}sC
p
s × T_{final} - T_{Initial} ]T
final
−T
Initial
]
By putting the values in the above formula,
∵ Heat released = -66.2 KJ−66.2KJ
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Gary is forming capture the flag teams out of all of the students that signed up from two classes. Each team must have the same number of players and be from the same class.
What is the largest number of players that Gary can put on each team
Answer:I don’t know
Step-by-step explanation:
simplify the expression 8h + (-7.7d) -14 +5d - 3.3h
The expression 8h + (-7.7d) -14 +5d - 3.3h can be simplified as
4.7h - 2.7d - 14
What is a Linear Expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power (1). In other words, none of the exponents can be greater than 1.
For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
5 is an example of a constant.
8h + (-7.7d) -14 +5d - 3.3h
Taking like terms
8h - 3.3h + 5d - 7.7d - 14
4.7h - 2.7d - 14
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Jordan invested $370 in an account in the year 2005, and the value has been growing
exponentially at a constant rate. The value of the account reached $480 in the year
2012. Determine the value of the account, to the nearest dollar, in the year 2017.
The constant interest rate of the Jordan's investment is 3.8%
The amount in 2017 is calculated to be $578.86
What is an exponential function?Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem, f(x) = a(b)ˣ
the starting, a = 370
the base = ?
the exponents = year periods
the base is calculated below
form 2012 to 2005 is 7 years hence x = 7
amount inn 2012 = amount in 2005 (b)ˣ
480 = 370 * b⁷
48/27 = b⁷
b = 1.038
this is same as 3.8% increment
The amount in 2017
from 2017 to 2005 is 12
= 370 * 1.038¹²
= 578.86
The amount in 2017 is $578.86
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que ecuacion muestra como se relaciona y con la x en la tabla
In the given table, y = 6x is the function as 6 = (6)1, 12 = (6)2 and 18 = (6)3. Thus, option D is correct.
What is a function?A function f from domain X to domain Y is written as f: X Y. A function is described as a map that associates each element in the domain with precisely one element in the codomain. In order to determine the value returned by a function given by an argument x, Euler was the first to use the modern representation f(x) (read "f of x). Assume that the function f converts x to Y and y to Y. Then, we can write it as y = f. (x).
A function transformation in mathematics is a function that converts one function or graph into another, typically related function or graph. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the overall shape of the parabola remains the same.
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which is the value of y in the solution to the following system of equations? x-4y-8=20
Answer: y = x/4 -7
Step-by-step explanation: hope this is right i was always good at math
If a 4 lb bag of sugar costs $2.99, what is the unit cost for a pound of sugar?
Answer: The unit cost for a pound of sugar is $0.75. This means that for every pound of sugar, it costs $0.75.
Step-by-step explanation:
To find the unit cost for a pound of sugar, we need to divide the total cost of the 4 lb bag of sugar by the weight of the bag.
Unit cost = Total cost / Weight
Total cost = $2.99
Weight = 4 lbs
Unit cost = $2.99 / 4 lbs = $0.75 per pound
So, the unit cost for a pound of sugar is $0.75. This means that for every pound of sugar, it costs $0.75.
It's worth noting that this calculation gives us the unit price of the sugar, which is the price per pound of sugar, and not the unit cost which is the total cost of production divided by the total number of units produced.
It's also worth noting that some sellers may use different units of measurement, and you should always check that you are comparing the same units when comparing prices.
Answer:
The unit cost for a pound of sugar would be $0.75.
To find the unit cost, divide the total cost by the number of pounds: $2.99 / 4 lbs = $0.75/lb.
Step-by-step explanation:
What is the mode number to 90 93 93 96 100
Answer:
93
Step-by-step explanation:
the mode is the value in the data set that occurs most often.
in this case that is 93 , so
mode = 93
Answer:
93
Step-by-step explanation:
the number which has higher frequency is the mode. here 93 comes 2 times. thus, 93 is the mode.
At a gym you swim every four days run every five days and cycle every 12 days if you did all three activities they have and how many days will you do all three activities again
Answer:
Just find the LCM of all the days.
LCM of 4,5 and 12 is 60
Therefore, u will have to do all the activities again after 60 days.
I have a product I’m selling for 111.55 my gross margin is 3% what is my average cost? Also what is the formula?
The average cost of your item, based on a gross margin of 3%, is $108.20.
What is the average cost?The average cost is the cost per unit.
It can be computed as the quotient of the total cost and the number of units.
What is the gross margin?The gross margin is the percentage difference between the cost of goods sold and the sales revenue.
The gross margin percentage is expressed as a quotient of the sales revenue multiplied by 100.
Selling price = $111.55
Gross margin = 3%
Selling price = 100%
Cost of goods sold = 97% (100 - 3)
Average cost (cost per unit) = Selling Price x Percentage Cost/Selling Price Percentage
$108.20 ($111.55 x 97/100)
Thus, the average cost of the product is $108.20.
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work this out for points and brainliest !
Answer:
P = 5c + 11 , c = 3
Step-by-step explanation:
(a)
the perimeter P) is the sum of the sides.
Note that the 2 sides with a ' dash' through them are congruent
summing the 4 sides
P = c + 5 + 3c - 2 + 10 - 2c + 3c - 2 ( collect like terms )
= 5c + 11
(b)
equate the expression for P from (a) to 26
5c + 11 = 26 ( subtract 11 from both sides )
5c = 15 ( divide both sides by 5 )
c = 3
Landon works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on top of his base salary equal to 15% of his total sales for the week. How much would Landon make in a week in which he made $1500 in sales? How much would Landon make in a week if he made xx dollars in sales?
a) In a week in which Landon made $1,500 in sales, his weekly earnings would be $625.
b) In a week in which Landon made x in sales, his weekly earnings would be $400 + 0.15x.
How are the weekly earnings determined?The weekly earnings are the sum of Landon's guaranteed or base salary per week and the sales commission he earns.
The sales commission is based on the sales Landon achieves per week and the commission rate of 15%.
The above situation implies that a percentage of the sales is paid out to Landon as a commission. Generally, sales commissions are paid to encourage increased sales.
Guaranteed salary per week = $400
Sales commission on total weekly sales = 15%
Total weekly sales = $1,500
Landon's total earnings for the week = $625 [$400 + $1,500(0.15)]
Landon's total earnings in a week he made xx dollars in sales = $400 + 0.15x
Thus, we can conclude that Landon gets 15 cents (15%) from each dollar in sales in addition to his weekly base salary of $400.
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in the accompanying diagram parallel lines ab and cd are cut by transversal ef. If e m<2= 72, what is m1
The measure of m<1 is 108 degrees from the provided figure.
Line geometry involving transversalsA line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Lines are therefore one-dimensional objects, even if they can exist in spaces with two, three, or more dimensions.
From the diagram, we have the following parameters
m<2 = 72 degrees
Required parameters
The measure of angle m<1
From the figure, the sum of the interior angle is equivalent to 180 degrees, that is:
m<1 + m<2 = 180
m<1 = 180 - m<2
m<1 = 180 - 72
m<1 = 108 degrees
Hence the measure of m<1 from the given figure is 108 degrees.
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Which of the following is the equation of the Une shown below?
A y=5x-6
B y=7x+6
C y=6x-5
D y=7x-6
-process
The equation of the line passing through the point (0, 2) and (2, 12) is y = 5x + 2
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept.
Let us assume the line passes through the point (0, 2) and (2, 12), hence:
y - 2 = [(12 - 2)/(2 - 0)](x - 0)
y = 5x + 2
The equation of the line is y = 5x + 2
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Exercise 479 Analyzing Functions from Derivatives Answer the following questions about the functions whose derivatives are given in Exercises 1-14: a. What are the critical points of f? 2 F'(x)=(x-1)(x+2)
The critical points of the function f are x = 1 or x = - 2
What is a critical point of a function?The critical point of a function is the value at which the function changes direction.
It is also the value at which the first derivative of the function equals zero.
What are the critical points of the function f?To find the critical points of the function f, since we have the derivative of the function F'(x) = (x - 1)(x + 2).
At the critical point, the derivative of the function F'(x) equals zero.
So, we have that F'(x) = 0.
So, equating the function F'(x) to zero, we have that
F'(x) = 0
(x - 1)(x + 2) = 0
x - 1 = 0 or x + 2 = 0
x = 1 or x = - 2
So, the critical points are x = 1 or x = - 2
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Anderson multiplies two rational expressions with the
following results. Describe his error. Then find the correct product.
Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.
What is a rational expression?A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.
Given that, Anderson multiplies two rational expressions with the following results.
The given expression is [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]
His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.
Hence, the correct solution is;
[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]
Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]
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