Answers
area: 40p² + 24p
wide: 8p
(40p² + 24p)/ 8p
5p + 3
so, length: 5p + 3 -> (a)
perimeter = wide x 2 + length x 2
16p + (10p + 6)
26p + 6 -> (b)
Related Questions
Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).
Answers
The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
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AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5)
Point A has coordinates (9, 2)
Work out the coordinates of point B.
Answers
Answer:
(-3,8)
Step-by-step explanation:
Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:
((x1+x2)/2,(y1+y2)/2)
Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)
We can assign x2 and y2 as variables.
(9+x2)/2=3
9+x2=6
x2= -3
(2+y2)/2=5
2+y2=10
y2=8
therefore we get the point (-3,8)
There are better ways and this is the "formulaic (ig) way" to do this
The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).
What are the coordinates of the midpoint of the line segment AB?The midpoint of a line segment means a point which lies in the mid of the given line segment.
Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
x = (p+m)/2
and
y = (q+n)/2
The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,
x=(p+m)/2
3=(9+m)/2
6=9+m
m = -3
y = (q+n)/2
5 = (2+n)/2
10=2+n
n=8
Hence, the coordinate of point B is (-3,8).
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Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
Answers
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
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Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?
Answers
Answer:
22 years old
Step-by-step explanation:
Sarah - 49 years old
Leo - 38 years old
Mary - 22 years old
Jordan - 41 years old
I think I'm right
Solve for x please help me ****
Answers
Answer:
x =10
Step-by-step explanation:
In a parallelogram, opposite sides are congruent
QT = RS
2x - 10 = x
Add 10 to both sides
2x = x + 10
subtract 'x' from both sides
2x -x = 10
x = 10
Help pleaseeee :,) 100 points
Answers
Explanation:
Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
What are the factors of 14 and 7?
Answers
Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?
Answers
Answer:
She would have written 6 2/3 pages.
Step-by-step explanation:
2 2/3 pages = 1 hour
6 2/3 pages = 2 1/2 hours
solve for x
plsss. & then solve for y
Answers
Answer:
x=22, y=35
Step-by-step explanation:
since this is an isosceles triangle, 3x-11 = 2x+11. so x=22
since this is a triangle 3x-11 + 2x+11 + 2y = 180. plug in x and simplify to get 2y+110=180, so 2y=70 and y=35
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answers
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d
Answers
Answer:
40-d
Step-by-step explanation:
Write and solve an equation for the following:
Answers
Answer:
x = (180 - [71 + 9]) ÷ 2
Step-by-step explanation:
71 + 9 = 80
180 - 80 = 100°
100° ÷ 2 = 50°
PLEASE ANSWER!!
STEP BY STEP
In hockey standing, I went out for two points, takeout for one point and I lost count for zero points. And the first time games, the devil 15, last four and tied one game. If they continues at the same rate, how many points do they have accumulated after they have played a total of 80 games?
Answers
Find the value of x.
75
70
60
80
Answers
Answer:
75. is yr correct ans.
Step-by-step explanation:
hope it helps.
stay safe healthy and happy.
Answer:
x = 75
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both of measure x
The sum of the 3 angles = 180° , that is
x + x + 30 = 180
2x + 30 = 180 ( subtract 30 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS
Answers
Answer: where’s the question??
The value of y varies directly with x. When y = 35, x=1/2.
what is the value of y when x is 1 1/4?
Answers
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!
Answers
Answer:
B save your time its the same answer
Step-by-step explanation:
Good Luck!
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answers
Answer:
Henry could only see one line because both equations have the same expression when simplified: y = 3/2x - 2.Source:
https://brainly.com/question/976459582. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?
Answers
Answer:
$466.62
Step-by-step explanation:
Balance = $175 - $24.39 - $65.21 + $381.22
Use your calculator to add or subtract each new term as indicated:
$175 - $24.39 = $150.61
Next, subtract $65.21: $150.61 - $65.21 = $85.40
Finally, add $381.22: $85.40 + $381.22 = $466.62
on November 27 the new balance in rob's account became $466.62.
IF 15 CHOCOLATE COST 10 RUPEES THEN HOW MUCH DOES 1 CHOCOLATE COSTS.
Answers
Answer:
2/3 Rupees
Step-by-step explanation:
Lets say Chocolate is C and a rupee is R.
Then, 15C = 10R. We can simplify to 3C = 2R. Now we divide both sides by Three to get C = 2/3R, which means a chocolate is 2/3 of a rupee!
A $500 prize is shared equally between Maxwell and
Lino.
What fraction of the money does Maxwell get?
Answers
Answer:
1/2 50% $250
Step-by-step explanation:
Answer:
250$, or in fraction form, 1/2
Step-by-step explanation:
There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2
In the ratio of 3:3:2, three sisters invested a total of 54,000 pesos to a store. Find the share of the second sister in the investment.
Answers
Answer:
20, 250
Step-by-step explanation:
3:3:2
u will first need to find the addition of all the ratio and divide each ratio by the sum
3+3+2=8
the u will; 3/8×54000=20,250
3/8×54000=20,250
2/8×54000=13500
can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation
Answers
Answer:
He obtained 11.2 points
Step-by-step explanation:
He obtained 20 balls and was penalized 3 points.
If each red ball is 0.5 points off, then 3/0.5=6
6 of his obtained balls were red balls, penalizing 3 points.
So, 20-6=14
The rest of his 14 balls were green balls, each worth 0.8
So, 14 × 0.8 = 11.2
So he obtained a total of 11.2 points
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?
(x, y) + (x - 5, y + 3)
(x, y) = (x - 3, y + 5)
(x, y) = (x + 5, y - 3)
(x, y) = (x + 3, y-5)
Answers
Answer:
The answer is (x, y) = (x + 3, y-5)
Step by step explanation:
So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).
Your Welcome. :)
Determine if the point (-2,2) a solution to the inequality y<3x+2.
Yes, it's a solution
or
No, it's not a solution
Answers
Answer:
No, it's not a solution
Step-by-step explanation:
Solve by plugging in the values x=-2 and y=2 that are from your point (-2,2):
y<3x+2
2<3(-2)+2
2<-4 This inequality is false, so no, it's not a solution
Answer:
not a solution
Step-by-step explanation:
y<3x+2
2<3(-2)+2..........plug in values
2<-6+2................multiply
2<-4......................add
2<-4 is false
regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?
Answers
Answer:
she sold 680 chocolate chip cokies
Step-by-step explanation:
How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar
Answers
Answer:
108 g of water
Hope This Helps!!!
if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .
don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams
thx for answering :)
Answers
We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]
[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]
[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]
[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]
[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]
[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]
Hence ,
x : y = 3 : 4[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]
[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]
[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]
[tex]\\ \sf\longmapsto 21y=28x[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]
Cut 7[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto x:y=3:4[/tex]
how do you solve this question
Answers
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
ingrid have the store clerk 70 dollars to pay for her purchase. Find the expression that represents the amount of change ingrid will get back. x - 70, 70/x, 70 - x, 70 + x
Answers
Answer:
70-x
Step-by-step explanation:
The expression which represents the change that Ingrid will get back for purchasing for $x will be 70 - x thus option (C) is correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Amount of money that Ingrid have = $70
Amount of money Ingrid purchased = $x
Change back = 70 - x
Hence "The equation that describes the change Ingrid will receive for spending $x is 70 - x".
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