Answer:
900 m^2
Step-by-step explanation:
Let x = length, y = width
perimeter = 2x + 2y = 2(x + y) = 120. so
x + y = 60, or y = 60 - x
Area = xy = x(60 - x) = 60x - x^2
= -(x^2 - 60x + 30^2) + 30^2
= 900 - (x - 30)^2
Note (x - 30)^2 is never negative, at least zero.
When (x - 30) = 0, the area is the largest which is 900 m^2
Prompt
Why is the annual interest rate more important to a borrower who carries a balance than to a borrower who pays off the balance monthly?
Answer:
Interest to be paid will keep on reducing each month
Step-by-step explanation:
due to reduction of the principal amount. As a result the net interest output will be higher for a borrower who carries balance for the whole year compared to one who pays offs monthly.
Answer:
Who is paying is not as important as the interest rate. Either way, a lower rate will benefit the person who has the bill.
Step-by-step explanation:
Error Analysis Taniya incorrectly says that the solution of the system of equations is (-8,-4). What is the correct solution? What error might Taniya have made? 5g - 2h = -4 8 = h - 4g
Answer:
[tex](-2,-1)[/tex]
Step-by-step explanation:
Actually Welcome to the Concept of the linear equations.
answer is [tex](-2,-1)[/tex]
[tex]g=-2,[/tex] [tex]h=-1[/tex]
Brainliest?!
hello please help me need aanswer
[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]
In Figure 1 :- In figure 1 , we have given everything we don't need to determine anything in figure 1 In Figure 2 :- Here, we have to determine the measure of sides ,braces and angles with least number of known measures,Let's start ,
From the figure, we can assume the beam forms as AD, BC, EF , GH and so on.
Therefore,
[tex]\sf{ ABCD , AEFD, AGHD.. so \:on similar\: to \:each \:other }[/tex]
So,
[tex]\sf{ Angle\:BAD = Angle\:EBC = Angle\:GEF}[/tex]
Or,
[tex]\sf{ Angle\: ADC = Angle\:BCF = Angle\: EFH }[/tex]
Now, By using similarity theorem we can determine their sizes, braces and angles that is,
[tex]\sf{\red{ AD/BC = AB/AE = CD/CF = BC/EF}}[/tex]
[tex]\bold{\huge{\blue{\underline{Answers :- }}}}[/tex]
Answer 1 :-
For answering the above questions we use knowledge and practices regarding the questions we can do the activity by making figures of unknown sides by assuming it in the form of x, y.so that we can find the known values.
Answer 2 :-
The best way of solving the above questions is that it is already given in the question that the beam is symmetrical so, here we can use similarity theorem.
Answer 3 :-
It necessary to learn about trapezoid and it's properties because if we don't know the properties and what is trapezoid then we will not be able to answer the given question.
Some properties of trapezoid
the base angles of isosceles triangle are equal Two sides are parallelAnswer 4 :-
Well, The answer is very easy that if we don't know anything regarding the trapezoid then we will not be able to any question based on it and if we have incomplete knowledge about it then we will able to solve it but we always got incorrect answers most probably.
Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56.
Answer:
True, it is a solution
Step-by-step explanation:
First, let’s distribute 1/3 to x and 4
When we do this, we get:
1/3x+4/3=20
Now, we can solve the equation!
Subtract 4/3 from each side of the equation to isolate the x
We now have 1/3x=18 2/3
Now we divide 1/3 on each side to isolate the x (this is the same as multiplying by 3/1 on each side)
This gets us to x=56
So it is true
Hope this helps! (Please award branliest if possible)
Aiden budgeted $250 to buy new furniture for his apartment.He spent 156 on lamps.He wants to buy two rugs for 205 dollars.How much more money does Aiden need to save to buy the two rugs.
Answer:
Aiden needs $121 more to buy the lamps.
Step-by-step explanation:
(250-156) + x = 205
84 + x = 205
x = 205 - 184
x = 121
What is the equation of a line that goes through the point (0, 2) and has a slope of 1?
O 2y = x
O y = x + 2
O y = - x + 2
O y = 2x + 1
Answer:
O y= x + 2
Step-by-step explanation:
Plug in the numbers into y=mx+b
m= slope= 1
b= y intercept= 2
y= x +2
i really dont know this question help please
Answer:
88
Step-by-step explanation:
x + 49 = 137 (exterior angle of triangle is equal to sum of its opoosite two interior angles)
x = 137-49
so, x = 88
employee worked 8 hours on 2 days and 6 hourson 1 day and 4 hours on 2 days what is the average number of hours worked per day
Answer:
4hours
6hours
2hours
Step-by-step explanation:
if you add it all the equal is 12hours
#carry on learning
n=2d²-5 when d=-2 what does n=?
Step-by-step explanation:
Substitute d=-2 into the equation:
[tex]n = 2( - 2)^{2} - 5[/tex]
Include the exponent:
[tex]n = 2(4) - 5[/tex]
Multiply:
[tex]n = 8 - 5[/tex]
Subtract:
[tex]n = 3[/tex]
Question #12: There are 15 pieces of fruit in a bowl. 6 of them are pears. What
percentage of the total fruit in the bowl are pears?
since our denominator in 6/15 is 15, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 15 = 6.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
6 x 6.6666666666667/15 x 6.6666666666667
= 40/100
Now we can see that our fraction is 40/100, which means that 6/15 as a percentage is 40%.
We can also work this out in a simpler way by first converting the fraction 6/15 to a decimal. To do that, we simply divide the numerator by the denominator:
6/15 = 0.4
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.4 x 100 = 40%
And there you have it! Two different ways to convert 6/15 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.
Answer:
40%
Step-by-step explanation:
6/15 = 0.4 = 40%
All these mean the same them, but what we are looking for is a percentage, which is 40%.
Hope that helps!
What are the zeros of the polynomial function?
f(x)=x2+9x−70
Enter your answers in the boxes.
Money of Rp. 24,000.00 can buy 3 kg of apples. If Anto buys apples with money
Rp. 40,000.00, how many kg of apples did he get?
Answer:
5 Kg of apples
Step-by-step explanation:
cost of apples per kg = 24000.00/3
=8000.00
amount of apples bought = 40000.00/8000.00
=5 Kg
He got 5kg of apples with Rp.40,000.00
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -35, -45, -55, -65
Answer: The Given sequence is 9, 10, 11, 12
We need to find the expression to describe the sequence.
Let be the term of the sequence.
Let n represent the position of the term.
Let a be the first term in the sequence.
and d be the common difference between the sequence
Hence the expression to find the above sequence is given below;
when n=1 d= 1 a = 9
when n=2 d= 1 a = 9
when n=3 d= 1 a = 9
when n=3 d= 1 a = 9
Hence the expression is
Step-by-step explanation:
please help!!! :( i will give brainliest answer
Answer:
D
Step-by-step explanation:
a triangles angles have to add up to 180 degrees
p.s.I hope this helps
Solve the system of equations by using substitution.
y = 2x+ 3
x-y=-2
Answer:
the answer is (-1, 1)
Step-by-step explanation:
i hope this helps
help ??!!! pleaseee loll
Point of Intersection
At this point is where both lines have the same x and y values
A wire 90 cm long is cut into two pieces. One
piece is twice as long as the other piece. How
long is the shorter piece of wire?
Answer:
30 cm
Step-by-step explanation:
30+60=90
30×2=60 so 30cm is the answer.
Step-by-step explanation:
If one price is 2 times the other one, that means it's equal to 2 of those parts. Let's decide our total wire by three to account for the larger part.
[tex]90 \div 3 = 30[/tex]
Now we know the shorter piece is 30 cm. To find the longer piece, multiply the shorter piece by 2.
[tex]30 \times 2 = 60[/tex]
Recap:
Shorter Piece: 30 cm
Longer Piece: 60 cm
That's all there is to it! hope this helps.
(PLEASE HURRY, WILL GIVE BRAINLIEST TO CORRECT PERSON)
Which transformation was applied to ABC to transform it to DEF?
o A. Reflection over the x-axis
o B. Rotation about the origin
o C. Translation
o D. Reflection over the y-axis
In each of the following, solve for X.
Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MO}{PR}[/tex] = [tex]\frac{MN}{PQ}[/tex] ( substitute values )
[tex]\frac{4+x}{5}[/tex] = [tex]\frac{x-2}{2}[/tex] ( cross- multiply )
5(x - 2) = 2(4 + x) ← distribute parenthesis on both sides
5x - 10 = 8 + 2x ( subtract 2x from both sides )
3x - 10 = 8 ( add 10 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Jana had a bake sale raising money for the March of Dimes Foundation. She sold 30 bags of popcorn and made $90. She sold 15 chocolate chip cookies and made $20. She sold 80 sodas and made $160. She sold 50 bags of chips and made $90. Find the unit price of each item. What was the MOST EXPENSIVE item she sold?
Answer:
popcorn was the most expensive at 3 dollars
Step-by-step explanation:
90/30=3 each
20/15=1.3 each
160/80=2 each
90/50=1.8 each
Answer:
popcorn 3 dollars I am pretty sure it's right
2.
Snow is falling at a rate of 14 in. in 7
hours. Write an equation to represent the
proportional relationship between the
number of hours x, and the amount of
Snow y.
Answer:
srry im doing a thing
where i have to do 30 Q to get $300
Step-by-step explanation:
I need help fast……….
Answer:
all real numbers
the domain of any parabola is all real numbers because it gets wider.
QUESTION 1: TRANSPORT Mr Dlamini transport people between Butterworth and East London using a bus which has a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre. On a particular day the bus was full with passengers from Butterworth. In each and every kilometre there was a passenger getting off while no new passenger entered in the bus. Mr Dlamini was calculating total money in his hand after each passenger was getting out. The total amount he has after each stop can be written as a series as follows: S. = 8 + 10 + 12 + 14 +... Use the series to calculate the following questions 1.1 (1) Term 2 (T2) = Sum of first two terms (S2) (2) (ii) Express T2 in terms of S, and S2. (1)
From the series, it can be deduced that the sum of the first two terms will be 18.
How to calculate the seriesFrom the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.
The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:
= 8 + 10
= 18
Expressing T2 in terms of S, and S2 will be T2 = S + S2.
Learn more about arithmetic series on:
https://brainly.com/question/24295771
what is the factor form of r^27 - s^30
Answer:
(r^9−s^10) (r^18+r^9s^10+s^20)
Find the common ratio r for the given geometric sequence and find the next three terms.
Answer:
The common ratio is -2
Next three terms are 18, -36, and 72
Step-by-step explanation:
The common ratio is -2 since each consecutive term is being multiplied by -2
The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72
Answer:
A -0.5
B 4.5, -2.25, 1.125
Step-by-step explanation:
A: 72× -0.5= -36
-36× -0.5= 18
18× -0.5= -9
B multiple everything by -0.5
Astorepays$16foratoaster.Thestoremarksupthepriceby45%.Whatistheamountofthemark-up?
Answer:
The total would be $23.20, and the price per whatever goes to $7.20,
Step-by-step explanation:
Top
i need help with this
Answer:
B, I believe
Step-by-step explanation:
s=3d-250
s-3d = -250
s=d-208
s-d =-208
Leonardo makes the following purchases at the store: 1 backpack for $16. 89 5 spiral notebooks for $1. 19 each 1 pack of mechanical pencils for $3. 68 2 packs of lead refills for $1. 88 each Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. The coupons are applied after tax and the sales tax is 5% of the purchase. If Leonardo paid $30. 89 , then he _____ for his purchase. A. Did not pay enough b. Paid the correct amount c. Paid $0. 04 too much d. Paid $0. 57 too much.
Leonardo purchases goods at the store of 30.894 and paid $30. 89. Leonardo did not pay enough.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
Leonardo makes the following purchases at the
Store: 1 backpack for $16.89, 5 spiral notebooks for $1.19, each 1 pack of mechanical pencils for $3.68, 2 packs of lead refills for $1. 88 each
The total amount of these items is,
[tex]P=1\times16.89+5\times1.19+1\times3.68+2\times1.88\\P=16.89+5.95+3.68+3.76\\P=30.28[/tex]
The coupons are applied after tax, and the sales tax is 5% of the purchase. Thus the amount will be,
[tex]P=30.28+30.28\times\dfrac{5}{100}\\P=31.794[/tex]
Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. Thus, the sum become,
[tex]P=31.794-2\times0.45\\P=30.894[/tex]
Now, Leonardo paid $30. 89 therefore, he did not pay enough.
Learn more about the percentage here;
https://brainly.com/question/24304697
Solve for x. 7x−5<9 Graph the solution.
Answer:
An open circle on 2, with a line going to the left.
Step-by-step explanation:
7x − 5 < 9
+ 5 + 5
7x < 14
/7 /7
x < 2
This is an open circle on 2, with a line going to the left.
Hope that helps!
Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](4x -3)(2x^2 -7x + 1)[/tex] is [tex]8x^3 - 34x^2 + 25x - 3[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is obtained as:
[tex](4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3[/tex]
Thus,
The product of [tex](4x -3)(2x^2 -7x + 1)[/tex] is [tex]8x^3 - 34x^2 + 25x - 3[/tex]
Learn more about polynomial product here;
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