Which expression is equivalent to the perimeter of your the rectangle shown below?
Answers
The expression that is equivalent to the perimeter of the rectangle in the image shown is, 6x + 8.
How to Find the Perimeter of a Rectangle?To find the perimeter of a rectangle, add all the four sides of the rectangle. The following formula can be used:
Perimeter (P) = 2(length + width).
In the rectangle shown below, the dimensions are:
Length of rectangle = 2x + 3
Width of rectangle = x + 1
Substitute into the perimeter each expression of the dimensions:
Perimeter = 2[(2x + 3) + (x + 1)]
Open the parentheses by applying the distributive property of equality:
Perimeter = 2(2x + 3 + x + 1)
= 2(3x + 4)
= 2(3x) +2(4)
= 6x + 8
Therefore, the expression is, 6x + 8.
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Related Questions
which statement must be true?
Answers
Answer:
DF=FE
Step-by-step explanation:
first to make it easier we can find the angles to each side
the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180
(3x+5)+(4x-15)+(2x+10)=180
9x+0=180
/9. /9
x=20
now we can find each angle
3(20)+5
60+5
D=65 degrees
4(20)-15
80-15
E= 65 degrees
2(20)+10
40+10
F=50 degrees
Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT
Since there are 2 of the same angles this is an isosceles triangle
the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal
hopes this helps
Yujin Pon has a principal of $900 in her savings Iccount on October 1. The money earns interest at a rate of 6.5% compounded quarterly until July 1 of the following year. What is the amount in the account on July 1?
а.$914.63
b. $943.75
c.$943.87
d. $944.59
Answers
Answer: The correct answer is c. $943.87.
Step-by-step explanation: To solve this problem, we need to first determine the length of time between October 1 and July 1 of the following year. This is a period of 9 months, or 3 quarters. We can then use this information to calculate the amount of interest earned over this time period.
The principal in Yujin Pon's account is $900, and the interest rate is 6.5% compounded quarterly. This means that for each quarter, the account will earn 6.5/4 = 1.625% in interest. Over the 3 quarters between October 1 and July 1 of the following year, the account will earn a total of 1.625% * 3 = 4.875% in interest.
To calculate the amount of interest earned, we can multiply the principal by the interest rate:
Interest = Principal * Interest Rate
= $900 * 0.04875
= $43.87
The total amount in the account on July 1 will be the original principal plus the amount of interest earned over the 3 quarters:
Total = Principal + Interest
= $900 + $43.87
= $943.87
Therefore, the correct answer is c. $943.87.
A manager of a self-service car wash charges a flat fee in addition to a fee per minute, x, for use of the services. The expression 5+0.75x models the scenario.
Which statement is true?
Responses
The coefficient 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.
The coefficient 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.
The constant 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.
The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.
Answers
The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 5+0.75x.
In the given expression, 5 is constant term and 0.75x is another term.
In the term 0.75x, 0.75 is the coefficient of x
In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.
Therefore, option D is the correct answer.
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Describe the 3-D figure that would be formed if the figure is rotated about the y-axis. (You can say what it looks like.)
Answers
By completing a complete revolution on the soda can-like profile about the y-axis to generates a cylinder-like solid that is the result of the combination of three cones and a cylinder.
What kind of solid is generated by rotating a profile about the y-axis?
In this problem we find a representation of a soda can-like profile, whose complete revolution generates a cylinder-like solid. This solid is the result of the combination of three truncated cones (lower trucated cone, middle cone, upper cone) and a cylinder (right cylinder). There are two axes for the rotation, a horizontal axis (x-axis) and a vertical axis (y-axis).
The first axis, that is, the horizontal axis, is along the base of the can-like profile and the second axis, that is, the vertical axis, is along a side of the can-like profile. The solid of revolution is generated by rotating around the y-axis.
In consequence, the solid generated by a revolution creates a soda can-like profiles as the result of combining three truncated cones and a cylinder.
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5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...
Answers
Answer:
A. -2, -5, -8, -11, -14, -17, ...
Step-by-step explanation:
The difference between consecutive terms is constant.
Isabella will earn $30 per hour at her new job. During training, she will earn $20
per hour. What percent of Isabella's regular hourly rate will she earn during
training?
Answers
By solving a little system of equations we will see that the percentage is 66.67%
What percent of the regular hourly rate will she earn during training?
We know that the regular hourly rate is $30 per hour, and that is the 100% in our case.
So we can write the relation:
$30 = 100%.
We know that when she is on training, she will earn $20, and this is a percentage X that we don't know yet, now we can write the relation:
$20 = X
So we have two equations:
$20 = X
$30 = 100%.
If we take the quotient between these two we will get:
$20/$30 = X/100%
If we multiply both sides by 100% (so we solve the equation for X) we will get:
($20/$30)*100% = X
66.67% = X
So she will get a 66.67% of the regular hourly rate.
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Elena's distance and times for a training run are given by the equation y=8.5x, where x represents distance in miles and y represents time in minutes
Answers
Elena is covering a distance of 8 miles in one minute.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x
Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.
Therefore, Elena is running at a speed of 8.5 miles per minute.
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1.2x-5=6.8x-15
[tex]1.2x-5=6.8x-15\\[/tex]
Answers
cory has $3$ apples, $2$ oranges and $2$ bananas. if cory eats one piece of his fruit per day for a week and the pieces of fruit within each category are indistinguishable, in how many orders can cory eat the fruit? one such order is $aaaoobb.$
Answers
Then the orders can Cory eat the fruit is = 25
Given that,
If Cory has eat apples = 3$
If Cory has eat oranges = 2$
If Cory has eat bananas = 2$
Total eat fruits = 3 + 2 + 2
Total eat fruits = 7$
We have to express the amount of total fruits as an equation.
The amount of apples will be x,
The amount of oranges will be y,
The amount of bananas will be z
The amount of apples multiplied by 7 because they ate each day of the week.
7*(x) + y + z = now we have to replace the values of x, y and z with the ones that gave us the problem
Then,
x = 3
y = 2
z = 2
So,
We can write,
7*(x) + y + z = 7 *(3) + 2 + 2
= 21 + 2 + 2
= 25
Therefore,
Then the orders can Cory eat the fruit is = 25
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Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.
Answers
I don't see the picture. Can you send it in the message.
x − 3y = −12 2x − y = 1 (1 point) a line includes points 0 comma 1 and negative 3 comma negative 4. A line includes points 0 comma negative 4 and negative 6 comma negative 2 a line includes points 0 comma 4 and 1 comma 3. A line includes points negative 2 comma 2 and negative 4 comma 0 a line includes points 0 comma negative 1 and 1 comma negative 3. A line includes points 6 comma negative 10 and 3 comma negative 11 a line includes points 0 comma 4 and 3 comma 5. A line includes points 1 comma 1 and 2 comma 3
Answers
By graphing the system of equations, we can see that the solution is (3, 5).
How to solve the system of equations?
I assume we want to solve the following system of equations graphically:
x - 3y = -12
2x - y = 1
To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.
There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.
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if traingle PAG is comgruent to riangle DEN, use words numbers and or symbols to state two conclsuions that can be made based upon cpctc
Answers
The corresponding sides of triangle PAG and triangle DEN are equal in length. This can be expressed using the symbol "=": PA = DE, AG = EN, and GA = ND.
The corresponding angles of triangle PAG and triangle DEN are equal in measure. This can be expressed using the symbol "≅": ∠PAG ≅ ∠DEN, ∠AGP ≅ ∠NDE, and ∠GPA ≅ ∠END.
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
Answers
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
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Let f(x) = e ^ (6x) and g(x) = 8in(x) Find and simplify g(f(- 2)) -96 -48 48 C B A
Answers
Answer: g(f(-2))=-96
Step-by-step explanation:
[tex]Given: \ f(x)=e^{6x}\ \ \ \ g(x)=8ln(x)\ \ \ \ g(f(-2))=?\\\\f(-2)=e^{6*(-2)}\\\\f(-2)=e^{-12}\\\\Hence,\\\\g(f(-2))=8ln(e^{-12})\\\\g(f(-2))=8*(-12)\\\\g(f(-2))=-96[/tex]
Answer:
-96
Step-by-step explanation:
Given:
[tex]\begin{cases}f(x)=e^{6x}\\ g(x)=8 \ln (x) \end{cases}[/tex]
To find g[f(-2)], substitute x = -2 into the function f(x):
[tex]\implies f(-2)=e^{6 \times -2}=e^{-12}[/tex]
Then substitute the function f(-2) in place of the x in function g(x):
[tex]\implies g[f(-2)]=8 \ln \left(e^{-12}\right)[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\begin{aligned}\implies g[f(-2)]&=-12\cdot 8 \ln \left(e\right)\\&=-96 \ln \left(e\right)\end{aligned}[/tex]
Apply the log law: ln(e) = 1
[tex]\begin{aligned}\implies g[f(-2)]&=-96 \ln \left(e\right)\\&=-96(1)\\&=-96\end{aligned}[/tex]
---------------------------------------------------------------------
As one calculation:
[tex]\begin{aligned}g[f(-2)]&=8 \ln \left(e^{6 \times -2}\right)\\& = 8 \ln \left(e^{-12}\right)\\& = -12 \cdot 8 \ln \left(e\right)\\& = -96(1)\\& = -96\end{aligned}[/tex]
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The figures are similar, and the ratio of the perimeters is 2: 5. Find x.
Answers
Answer: x=3.2
Ste by Step
We have that for the Question "The figures are similar, and the ratio of the perimeters is 2 : 5. Find x." it can be said that the perimeters of x is
x=3.2
From the question we are told
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
Generally the equation for the the ratio is mathematically given as
2=x
and
5=8
Therefore
x=3.2
Therefore
the perimeters of x is
x=3.2
If using the method of completing the square to solve the quadratic equation x 2 + 2 x + 16 = 0
Answers
Answer:
Step-by-step explanation:
[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]
The solution does not exist because all numbers squared are greater than zero.
A beetle is moving along a straight line at a constant rate. It moves 23 of a foot in 15 of a minute.
What is the average speed of the beetle?
Answers
The average speed of the beetle is 1.53 feet per minute.
What is the average speed?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Given that, it moves 23 of a foot in 15 of a minute.
Here, the average speed
= 23/15
= 1.53 feet per minute
Therefore, the average speed of the beetle is 1.53 feet per minute.
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What is 213 divided? Also how do you break 23 into tens and ones?
Answers
Answer:
What is 213 divided? 2 I think
Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones
17. Select the correct inequality and graph for the statement.
The highest temperature possible today is 95 °F.
Answers
The correct inequality for the statement - highest temperature possible today is 95 °F
x ≤ 95 °F
How to identify the correct statementThe statement saying the highest temperature possible today is 95 °F is represented by
knowing that the temperature will never be greater than 95 °F, hence the temperature values is from 95 °F and downwards
assuming x represents the measles of the temperatures then
x is less than or equal to 95 °F means x can be any value but never greater than 95 °F
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12. A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. What volume is
needed to hold this amount of plastic?
Answers
A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the volume is 0.01 m^3
What volume is needed to hold this amount of plastic?Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.
The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.
Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:
Volume = Mass / Density
For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:
Volume = 10 kg / 1000 kg/m^3
Volume = 0.01 m^3
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THE COMPLETE QUESTION WAS NOT FOUND
If using the method of completing the square to solve the quadratic equation x 2 + x + 9 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
Below
Step-by-step explanation:
To complete the square, the coefficient of x^2 must be 1 ( it is already)
then take 1/2 of the x coefficient .... 1/2.... square it and add it to both sides of the equation
x^2 + x + 1/4 + 9 = 1/4
then you can reduce this to
( x+ 1/2)^2 + 9 = 1/4 for further 'solving'
the interior angles of a regular polygon each measures 165 degrees. how many sides does the polygon have
Answers
1) The interior and the exterior angles
make a linear pair: add up to make 180°.
180° - 165° = 15° measure of one ext. angle
2) the sum of the exterior angles of any convex polygon is 360°
360° ÷ 15° = 24 exterior angles
3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon
4) Therefor there are 24 sides in this regular polygon
what is the value of 18 to the third power
Answers
Answer:
5832
Step-by-step explanation:
PLease help meh im begging you
Determine the measurement of ∠A, the angle marked in red.
The measure of ∠A is __________Degrees?
Answers
Answer:
x= 222 degress
Step-by-step explanation:
complete this working to write 9³ as a power of 3
9³=9x9x9
so 9³= 3x3x3x ____
so 9³=3^y where y=____
Answers
Answer: y=6
Step-by-step explanation:
the statement [tex]2(\frac{1}{2} x-5)[/tex], then x=20 is justified by what property?
Answers
The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.
How to find the property that justify the statement?Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.
Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.
Hence,
2(1 / 2 x - 5) , when x = 20
Therefore,
2(1 / 2 (20) - 5)
2(10 - 5)
2(5) = 10
Hence, the property is substitution property.
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A kangaroo hopped directly toward a lake at a constant velocity for 30seconds. In one-third of that time, the kangaroo hopped 60meters. What was the kangaroo's velocity?
Answers
Answer: The animal hopped 60 meters in 10 seconds
6 m/s (lol)
Step-by-step explanation:
First off ok and second off bye <3
What values of b and c make AGHI AZYX?
G
b
||
CE
48
I
b
H
X
17
Y
8c
Z
Answers
The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.
What is congruence?
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Here, we have
Given the sides of both the triangle and
we have to find the value of b and c that makes ΔGHI ≅ ΔZYX
b = 17 and,
48 = 8c
c = 6
Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.
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5/7 of.... is 1/7. What is the missing number?
Answers
The missing number is [tex]\frac{1}{5}[/tex]
Let the missing number be x.
now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]
on cross multiplying we get,
x= [tex]\frac{7}{35}[/tex]
on simplifying,
x= [tex]\frac{1}{5}[/tex]
Hence, the missing number is [tex]\frac{1}{5}[/tex]
What is cross multiplying?
An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.
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browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins, what net payout will you be promised in a fair betting game in case your bet works out?
Answers
Net payout will you be promised in a fair betting game in case your bet works out is $0 .
Given :
browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins .
P ( browns ) = 60 / 100 = 0.60
P ( steelers ) = 40 / 100 = 0.40
Net payout = Number of wins * 10 - Number of loses * 10
= 1 * 10 - 1 * 10
= 10 - 10
= $0.
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