Answers
"Perimeter" is the distance all the way around the drawing. If the drawing has sides, then the perimeter is the SUM of the lengths of all the sides. It's exactly the distance an ant would have to walk along the line, to get all the way around to where he started from.
To get the perimeter of the triangle, you have to add up the lengths of the three sides.
(2a - 3) + (2a) + (3a + 1) =
2a - 3 + 2a + 3a + 1 .
Add up all the 'a's: 2a + 2a + 3a = 7a
Add up all the just plain numbers: -3 + 1 = -2
Write them together, as a binomial: 7a - 2
THAT's your expression for the perimeter.
The perimeter of a shape is the distance around it. For a rectangle, the perimeter can be represented by the expression '2(length + width)', which can also be written as '2(L + W)' when L is the length and W is the width.
Explanation:Perimeter refers to the distance around a two-dimensional shape. Since the shape isn't specified in the question, let's assume a rectangle for our example. The perimeter of a rectangle is given by the formula '2(length + width)'. This means, you add the length and width of the rectangle together, and then multiply by 2. If we let L represent the length and W represent the width, then our expression for the perimeter of a rectangle would be '2(L + W)'.
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Related Questions
Find two complex numbers that have a sum of 10i, a difference of -4, and a product of -29
Answers
The complex numbers are [tex]\(5i - 2\)[/tex] and [tex]\(5i + 2\)[/tex], meeting the conditions: sum [tex]\(10i\)[/tex], difference [tex]\(-4\)[/tex], product [tex]\(-29\)[/tex].
Let's denote the two complex numbers as [tex]\(a\)[/tex] and [tex]\(b\)[/tex].
Given:
1. [tex]\(a + b = 10i\)[/tex]
2. [tex]\(a - b = -4\)[/tex]
3. [tex]\(a \times b = -29\)[/tex]
From the first equation, we can isolate one variable in terms of the other:
[tex]\[ a = 10i - b \][/tex]
Now, substitute this expression for [tex]\(a\)[/tex] into the second and third equations:
[tex]\[ (10i - b) - b = -4 \][/tex]
[tex]\[ 10i - 2b = -4 \][/tex]
[tex]\[ 2b = 10i + 4 \][/tex]
[tex]\[ b = 5i + 2 \][/tex]
Now that we have found [tex]\(b\)[/tex], we can substitute it back into the expression for [tex]\(a\)[/tex] to find [tex]\(a\)[/tex]:
[tex]\[ a = 10i - (5i + 2) \][/tex]
[tex]\[ a = 10i - 5i - 2 \][/tex]
[tex]\[ a = 5i - 2 \][/tex]
So, the two complex numbers are [tex]\(5i - 2\)[/tex] and [tex]\(5i + 2\)[/tex]. Both of these satisfy the given conditions.
In a student opinion poll at Jump Middle School 27.5% of the students who responded chose football as their favorite sport. Basketball was chosen by 17.5% of the students who responded. The rest of the people chose “other” sports. “Other” sports were chosen by 44 people in the poll. What is the total number of the people who responded to the poll?
Answers
Answer-
The total number of the 80 students responded to the poll.
Solution-
The percentage of student who responded that football was their favorite sport = 27.5%
The percentage of student who responded that basketball was their favorite sport = 17.5%
As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%
The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then
[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]
[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]
∴ The total number of the people who responded to the poll was 80.
In which form is the following function written?
y=-2x^2+5x-1
Answers
Answer:
Standard Form
Step-by-step explanation:
we know that
A quadratic function written in standard form is
[tex]y=ax^{2} +bx+c[/tex]
in this problem we have
[tex]y=2x^{2} +5x-1[/tex]
so
[tex]a=2\\b=5\\c=-1[/tex]
Final answer:
The function y = -2x² + 5x - 1 is written in standard form, which for a quadratic function is ax² + bx + c.
Explanation:
The function given is y = -2x² + 5x - 1. This function is written in standard form, which is characterized by the quadratic term, followed by the linear term, and then the constant term. The general form of a quadratic function is ax² + bx + c, where a, b, and c are constants, and in this case, a is -2, b is 5, and c is -1.
20 POINTS PLEASE HELP!!! ASASP
Solve for n.
12n+34n=12
Enter the answer, as a whole number or as a fraction in simplest form.
n =
Answers
just Google it
12×.26+34×.26=12
Elaine had m dollars in her checking account. On December 8, she deposited $1,200, r dollars, and $568.90. She also cashed a check for t dollars and one for $73.70. Write an algebraic expression that represents the amount of money in her account after the transactions.
Answers
Initial amount in Elaine's account = m dollars ---- (1)
On December 8, total money deposited by Elaine = 1200 + r + 568.9
= r + 1768.9 ----- (2)
Total money on her account now = m + r + 1768.9
Total money she cashed by cheques = t + 73.7.
Therefore, her current balance in her account = (m + r + 1768.9) - (t + 73.7)
= (m + r - t) + 1695.2.
Hence, the algebraic expression that represents the amount of money in her account after the transactions is (m + r - t) + 1695.2.
Final answer:
Elaine's checking account balance after her transactions is represented by the algebraic expression m + 1200 + r + 568.90 - t - 73.70, with m being her initial balance, r the amount deposited, and t the amount from the check that was cashed.
Explanation:
Elaine had m dollars in her checking account. After various transactions, we can represent the amount of money in her account with an algebraic expression. The transactions include deposits and cashed checks. The deposits add money to her account, while cashing checks subtract money from her account.
To calculate the new balance, the following expression can be used:
New Balance = original balance + sum of deposits - sum of cashed checks
In Elaine's case, her initial balance is m dollars. She deposited $1,200, r dollars, and $568.90, which are added to her account. She also cashed checks for t dollars and for $73.70, which are subtracted from her account. Therefore, the algebraic expression representing the new account balance after these transactions would be:
m + 1200 + r + 568.90 - t - 73.70
You are one of 55 people whose name will be drawn for a prize. What is the probability that your name will be drawn first?
A- 1/55
B- 1/52
C- 1/53
D- 1/57
Answers
Your answer will be 1/55 or A because, at the beginning of the problem it states "you are one of 55 people" ((:
The probability that your name will be drawn first out of 55 people is 1/55.
Explanation:The probability that your name will be drawn first out of 55 people can be calculated using the formula:
Probability = 1/Total number of people
Therefore, the probability that your name is drawn first is:
Probability = 1/55
So the correct option is A - 1/55.
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Please help! I will be so thankful!
Answers
Answer:
Step-by-step explanation:
Solution is given in attachment
What I did is I set m<A = m<B
x=3x-60 and solve (then substitute for x in <A since you need to find the m<A)
Please comment if you need me to solve the problem for you
How do you write 683% as a decimal
Answers
6.83 would be the final answer.
in the town of Clover, 3 out of 5 citizens who are eligible to bit did so in the fall election.
A. Determine the number of citizens that voted in the fall election if 400 citizens were eligible
B. Determine the number of citizens that were to vote in the fall election if 180 actually voted
Answers
B) 180 of 400 is 45%, or 9/20 of citizens eligible to vote did so in the fall election.
Answer:
Step-by-step explanation:
Given that in the town of Clover, 3 out of 5 citizens who are eligible to bit did so in the fall election.
A) No of citizens =400
Assume the same proportion as given holds good here
the number of citizens that voted in the fall election=[tex]\frac{3}{5} (400) \\= 240[/tex]
B) Assume the same proportion as given holds good here
No of citizens that voted in the fall election=180
Total no of citizens = [tex]\frac{5}{3} (180)\\=300[/tex]
Six numbers that are perfect squares
Answers
4
9
16
25
36
49
64
81
100
(more than 6, oops)
What is the slope of the line on the graph?
Enter your answer in the box.
PLZ HELP FAST ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
rise = 6
---------------------
run = 1
Rise is the y axis and run is the x axis. You look at the point and first go either up or down to the point you need to stop at. In this case we go down. Run is when you go sideways. Once you reach the line where the point lies, you need to go sideways 1 time to get to the point. Since rise is over run, 6 over 1
Therefore...........
6 over 1 = 6!!!!
Answer:
6
Step-by-step explanation:
a blank is a fraction with a denominator of 1
Answers
Jocelyn got 19 out of 25 questions correct on her test what is the percent of the questions she answered correctly
Answers
Jocelyn answered 76% of the questions correctly on her test. To find the percentage of questions Jocelyn answered correctly, we can use the following formula: Percentage = (Number of Correct Answers / Total Number of Questions) × 100
Given that Jocelyn got 19 out of 25 questions correct, we can plug these values into the formula:
Percentage = (19 / 25) × 100
Now, let's calculate the percentage:
Percentage = 0.76 × 100
Percentage = 76
Jocelyn answered 76% of the questions correctly on her test.
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using partial quotients is a method of dividing where you break the _____ into sections that are easy to divide.
Can anybody tell me the answer?
Answers
Using partial quotients is a method of dividing where you break the DIVIDEND into sections that are easy to divide
What integer
Describes a profit of
$650? Please show your work.
Answers
Profit means increase in money.
So, then the answer would be +650 because the person is gaining money, not losing it.
If the person was losing it, then the answer would be -650.
I hope that this helped you! :) Comment if u have any questions.
a machine covers 5/8 square foot in 1/4 hour. what is the unit rate?
Answers
we know that
Unit Rate is the ratio of two measurements in which the second term is one
so
to find the unit rate divide [tex](5/8)[/tex] by [tex](1/4)[/tex]
[tex]Unit\ rate=\frac{(5/8)}{(1/4)}= \frac{5}{8}*4= \frac{2.5}{1} =2.5 \frac{ft^{2}}{hour}[/tex]
therefore
the answer is
The unit rate is [tex]2.5 \frac{ft^{2}}{hour}[/tex]
Answer:
2/5
Step-by-step explanation: multiply then break down the fraction
What are the coordinates for the center of the circle and the length of the radius ?
Answers
the answer to your question is D
Answer: the correct option is
(D) (-7, -1), 6 units.
Step-by-step explanation: We are given to find the co-ordinates of the center and the length of the radius of the following circle :
[tex]x^2+y^2+14x+2y+14=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the STANDARD equation of a circle with center at the point (h, k) and radius of length r units is given by
[tex](x-h)^2+(y-k)^2=r^2.[/tex]
From equation (i), we have
[tex]x^2+y^2+14x+2y+14=0\\\\\Rightarrow (x^2+14x+49)+(y^2+2y+1)+14-49-1=0\\\\\Rightarrow (x+7)^2+(y+1)^2-36=0\\\\\Rightarrow (x+7)^2+(y+1)^2=36\\\\\Rightarrow (x-(-7))^2+(y-(-1))^2=6^2.[/tex]
Comparing the above equation with the standard equation of a circle, we get
center, (h, k) = (-7, -1) and radius, r = 6 units.
Thus, (D) is the correct option.
What is 17/18 + 1/20
Answers
Answer:
179/180
Step-by-step explanation:
Step One
Find the prime factors of 18 and 20
18:3*3*2
20: 2 * 2 * 5
Step Two
You need two 2s two 3s and one 5 for the common denominator
The common denominator is 2 * 2 * 3 * 3 * 5 = 180
Step Three
Put the two fractions over 180
[tex]\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}[/tex]
[tex]\dfrac{170}{180} + \dfrac{9}{180}[/tex]
179/180
Emily has saved $6.75 and $4.25 from her lawn mowing jobs. How much more does she need to save to buy a CD that costs $15.95?
Answers
$15.95 - $10.00 = $5.95
The answer is $5.95
Which statement about this equation is true? 3 (4x – 2) = 12x
The equation has one solution.
The equation has no solution.
The equation has a few solutions.
The equation has many solutions.
Answers
I did the work, and the quiz.
Your answer is A.
Answer: the equation has no solution.
I really hope this helps :)
-Izzie
Find the solution of -2(3x+9)=24
Answers
need help asap im not good at math
Answers
OK.
Let g(x) = ax²
We have the point (3, 1).
Substitute x = 3 and g(x) = 1:
1 = a(3²)
9a = 1 |divide both sides by 9
a = 1/9
Therefore your answer is
[tex]g(x)=\dfrac{1}{9}x^2=\left(\dfrac{1}{3}x\right)^2[/tex]
I need help with number
3 asap, and you don't have to draw if you don't want to
Answers
1/2 because 3 divided by 6 equals 0.5 or 1/2
The cube root of 50 is between which two integers.
Answers
The two integers between which the cube root of 50 lies are 3 and 4.
To find the two integers between which the cube root of 50 lies, we can start by evaluating the cube roots of consecutive integers until we find the two integers that enclose the cube root of 50.
Let's calculate the cube roots of some consecutive integers:
Cube root of 1: 1
Cube root of 2: 1.25992
Cube root of 3: 1.44225
Cube root of 4: 1.58740
Cube root of 5: 1.70997
Cube root of 6: 1.81712
Cube root of 7: 1.91293
Cube root of 8: 2
Cube root of 9: 2.08008
Cube root of 10: 2.15443
We can observe that the cube root of 50 is greater than the cube root of 27 (which is approximately 3), and less than the cube root of 64 (which is 4). Therefore, the cube root of 50 lies between 3 and 4.
Hence, the two integers between which the cube root of 50 lies are 3 and 4.
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Hey cylinder has a radius of 3 feet and a height of 2.1 feet what is the approximate volume of the cylinder used 3.14 for pi
Answers
Hello!
AnswerThe approximate volume of the cylinder is the second option: 59.3 [tex]ft^{3}[/tex]
_________________________________________________ExplanationV = [tex]\pi r^{2} h[/tex]
V = 3.14 * 3^2 * 2.1
V = 3.14 * 9 * 2.1
V = 59.346 [tex]ft^{3}[/tex]
Final answer:
Explanation of calculating the volume of a cylinder with given radius and height using the formula V = πr²h.
Explanation:
The volume of a cylinder can be calculated using the formula V = πr²h. Given a radius of 3 feet and a height of 2.1 feet, when plugged into the formula with π = 3.14, the volume is approximately 19.74 cubic feet.
2 factors of 64 add up to 12 what are they
Answers
Two factors of 64 that add up to 12 are 8 and 4.
8 x 8 is 64 so its a factor of 64
16 x 4 is 64 so its a factor of 64
8 + 4 = 12
The two factors are 8 and 4
A figure in the second quadrant is reflected over the y-axis. In which quadrant will the reflected figure appear?
A. first quadrant
B. second quadrant
C. third quadrant
D. fourth quadrant
Answers
Answer:
It is A the first quadrant
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
11 more than 11 less than (11x6)
Answers
Assuming that the question is "11 times 6" rather than "11x times 6". The answer would be 66.
The equation for this problem is: 11 + (11 x 6) - 11)
"11 more than" means you would add 11 to the next equation. "11 less than" means you would subtract 11 from the following equation.
According to Order of Operations, you would start with the expressions in the parenthesis. So we would start with "11 x 6", which is 66. Then the expression would become 11 + (66 - 11). We would do the expression the parenthesis, "66 - 11", and we would get the answer 55. The expression would become 11 + 55, and 11 + 55 is 66.
The arithmetic statement '11 more than 11 less than (11x6)' first requires you to do the multiplication, resulting in 66, then subtract 11 to get 55, and finally add 11 to get 66.
Explanation:The mathematical statement "11 more than 11 less than (11x6)" is an arithmetic problem that requires several steps to solve. Firstly, compute the values in brackets. You must multiply 11 by 6, which results in 66. The next step is to understand what '11 less than' means. It means to subtract 11 from 66, which gives you 55. Then you interpret the last part of the statement: '11 more than', which means you add 11 to that 55. This finally gives you a sum of 66.
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Which polynomial cannot be solved using the quadratic formula ?
A. X^2-2x-5= 0
B. X^5-2x^3= 0
C. X^2+ 2x-5= 0
D. X^2+ 2x+ 5 = 0
Answers
meaning of mean medium and mode
Answers
The Mean is the value of all the numbers in a data set added together and divided by the amount of numbers there are for example the mean of the set 2,5,8,9 is 6.
The median is the middle values of all the numbers. If there are 2 medians, you usually have to add them both and divide by 2 to get the actual median
The mode is the number(s) that show up the most in the data set. for example, the mode of the data set 2,2,3,4,4,4,6,9 is 4, because it is repeated 3 times.
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