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The figure shows a rectangue with its length and breadth as indicated,
Give that the perimeter of a rectangle is 120cm, find the area of rectangle .
Answers
Answer:
Length = 2x+y cm and since it's a rectangle,
2x+y=3x-y ---------------- (i)
width = 2x-3 cm
It's perimeter,
2(2x+y+2x-3)=120 ---------------- (ii)
Solving both equations,
x = 14 cm
y = 7 cm
so length is, 2×14+7 = 35 cm
and width is, 2×14-3 = 25 cm
so area will be, 35×25 = 875 cm²
Answered by GAUTHMATH
Answer:
len = 35
width = 25
Step-by-step explanation:
3x-y = 2x+y
1) x-2y = 0
9x -6= 120
x = 14
y = 7
Related Questions
A ladder leans against the side of the a house. The ladder is 19 feet long and forms an angle of elevation of 75 degree when leaned against the house. How far away from the house is the ladder? Round your answer to the nearest tenth.
Answers
Answer: 18.35259
Hope it helps!
Please help me with this someone
Answers
9514 1404 393
Answer:
79 23/24 yards
Step-by-step explanation:
10 5/8 +24 5/6 +44 1/2 = (10 +24 +44) +(5/8 +5/6 +1/2)
= 78 +(15/24 +20/24 +12/24) = 78 +47/24 = 79 23/24 . . . yards
_____
Express the fractions over a common denominator, add, and convert back to a mixed number. Here, the fraction cannot be reduced.
47/24 = 1 23/24
Please Help! I will give you the brainiest and a lot of points!
Answers
the
Calculate the consumer Surplus, if the
demand function is given as pdf=Q²-3q-4 at
the equilbrum
Price of
6.00
Answers
Answer:
2
Step-by-step explanation:
33
Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.
Answers
Answer: y = -3/2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope = -3/2b = y-intercept = 5y = -3/2x + 5
Answer:
y = -3/2x + 5 totally
Step-by-step explanation:
properties of exponents. the answer is 1/2^12 i need help with the work
Answers
Step-by-step explanation:
Answer in attached image...
hope it helps
(2^-1 -2^-1 × 2^-4)^2
(1/2 - 1/2 × 1/2^4)^2
(1/2 - 1/2^5)^2
(1/2 - 1/32)^2
(16/32-1/32)^2
(15/32)^2
(15/2^5)^2
Must click thanks and mark brainliest
I need you guy’s help answer thanks so much
Answers
Answer:
(c) (f-g ) (x) = 6x*3 -2x*2 +4x -8
The two countries with the highest cocoa production are the
Ivory Coast and Ghana. The Ivory Coast produces three times the amount of cocoa
produced in Ghana. (Source: International Cocoa Organization) Express the
amount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana.
Answers
Answer:
38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.
Step-by-step explanation:
A committee on community relations in a college town plans to survey local businesses about the importance of students as customers. From the 10,000 businesses listed in the telephone book, the committee chooses 150 businesses at random. Of these, 72 return the questionnaire mailed by the committee. The nonresponse rate is ______ percent. (Give your answer as a whole number.)
Answers
Answer:
The nonresponse rate is 52 percent.
Step-by-step explanation:
150 sampled:
72 returned and 150 - 72 = 78
The nonresponse rate is
Percentage that 78 is out of 150, that is:
78*100%/150 = 52%
The nonresponse rate is 52 percent.
A bag of 31 tulip bulbs contains 13 red tulip bulbs, 9 yellow tulip bulbs, and 9 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. (a) What is the probability that the two randomly selected tulip bulbs are both red? (b) What is the probability that the first bulb selected is red and the second yellow? (c) What is the probability that the first bulb selected is yellow and the second red? (d) What is the probability that one bulb is red and the other yellow?
Answers
Answer:
36% on first
Step-by-step explanation:
Help? Thanks!!!!!!!! If possible show work please!
Answers
Answer:
[tex]B =102[/tex]
[tex]Y = 32[/tex]
Step-by-step explanation:
Solving (47):
To solve for B, we have:
[tex]B + 50 + 28 = 180[/tex] --- sum of angles in a triangle
This gives
[tex]B + 78 = 180[/tex]
Collect like terms
[tex]B =- 78 + 180[/tex]
[tex]B =102[/tex]
Solving (48):
To solve for Y, we have:
[tex]X + Y+ Z = 180[/tex] --- sum of angles in a triangle
This gives
[tex]Y = 180 - X - Z[/tex]
Where
[tex]W+ X=180[/tex] -- angle on a straight line
Solve for X
[tex]X=180 -W[/tex]
[tex]X=180 -100 = 80[/tex]
So, we have:
[tex]Y = 180 - X - Z[/tex]
[tex]Y = 180 - 80 - 68[/tex]
[tex]Y = 32[/tex]
Describe what is the most difficult part of solving equations, for you personally.
Answers
What do you personaly feel like is most dificult.
For me its rembering minus signs
Help only #31,33, please thank you
Answers
Answer:
31) 4d + 28 33) 10 + 5
Step-by-step explanation:
31) 4 ( d + 7) = 4 x 7 = 28 = 4d + 28
33) 5 ( 2m + 1 ) = 5. 2m + 5 . 1: 10m + 5
Solve for x.
2(3x - 7) = 16
Simplify your answer as much as possible.
X =
Answers
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
2(3x - 7) = 16
Step 2: Solve for x
[Division Property of Equality] Divide 2 on both sides: 3x - 7 = 8[Addition Property of Equality] Add 7 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
X=5
Step-by-step explanation:
divide by 2 on both sides first then you have
3x-7 = 8
take 7 to the other side so that you have an X factor on one side, thus
3x =15
then divide by 3 to remain with X
X = 5
f(x)=|x| to the graph of g(x)=∣∣4+x∣∣?
Answers
4+x=0
x=-4
So from the original function, the graph shifts over 4 units to the left.
This is Some next level Geometry
Answers
Step-by-step explanation:
Measure of Angle 1 is 115 due to corresponding angles postulate
Measure of Angle 2 is 65 is linear pair postulate.
I need to know how to find the area and to simplify it
Answers
Area of parallelogram = b × h
Base = x + 7
Height = x + 3
ATQ
Area = (x + 7) ( x + 3)
x² + 3x + 7x + 21
x² + 10x + 21
Answered by Gauthmath must click thanks and mark brainliest
William sold tooth pick for €2 a pack.On Selling 60% of his ware he still had 200 left.How much money did he collect from his entire sales?
Answers
Answer:
.......................
a swimming pool is 130 feet long and the length is 3 times the width plus 10 feet. Let x be the width of the pool. how wide is the pool?
Answers
Answer:Perimeter of a rectangle is 2*the length plus 2*the width
P = 2L + 2W and P = 130, so
L + W = 65
Three times the length is equal to 10 times the width, giving
3L = 10W
Substituting into the above for L = 65 – W,
3(65 – W) = 10W
195 – 3W = 10W
195 = 13W
W = 195/13 = 15
W = 15 yards,
And L = (10/3)W = (10/3)*15 = 50
L = 50 yards
Step-by-step explanation:
To host an event at a popular convention center, it costs $300 plus $45 per person attending. Step 1 of 3 : Write a rational expression that represents how much you would need to charge each attendee in order to cover the cost of hosting the event. Let x be the number of attendees.
Answers
Answer: (300 + 45x) / x
Step-by-step explanation:
Based on the information given in the question, the total cost will be the addition of the fixed cost and the variable cost which will be:
= 300 + (45 × x)
= 300 + 45x
The amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:
= (300 + 45x) / x
Which inequality represents all values of x which the product below is defined Square root 4x Square root x+2
Answers
Answer:
Option (D) x≥ 0 is absolutely correct
Step-by-step explanation:
The reason is that the square root function is defined for only non negative numbers.
Answer: x is greater than or equal to 0
Step-by-step explanation:
Determine whether the following polygons are similar. If yes, type 'yes' in the Similar box and type in the similarity statement and scale factor. If no, type 'None' in the blanks. For the scale factor, please enter a fraction. Use the forward dash (i.e. /) to create a fraction (e.g. 1/2 is the same as 12
1
2
).
Answers
Answer:
Step-by-step explanation:
You see in the smaller triangle, the given angle is 55 degrees while in the bigger triangle the given angle is 30 degrees.
The angles are in the same place in both triangles. So we will get to the conclusion that they are DIFFERENT.
(2√8)(√2) =
Select one:
a. 128
b. none of these
c. 6√10
d. 32
e. 8√16
Answers
Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0
Answers
Answer:
[tex][1, -4 ,5][/tex]
Step-by-step explanation:
In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.
To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.
[tex]a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1[/tex]
[tex]b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4[/tex]
[tex]c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5[/tex]
Convert the following numbers into scientific notation. ( i did them but I feel like they wrong can y’all correct them if they are?)
Answers
Answer:
only 4 is incorrect...
1,450,000 = 1.45 x [tex]10^{6}[/tex] NOT
1,450,000 = 1.45 x [tex]10^{7\\}[/tex]
Step-by-step explanation:
What is the solution to the equation fraction 1 over 3x = 6?
x = 18
x = 2
x = fraction 1 over 2
x =
Answers
Hi there!
[tex]\large\boxed{\frac{1}{18}}[/tex]
1/3x = 6
Begin by multiplying both sides by 3 to cancel the fraction:
1/x = 18
Take the reciprocal of both sides:
x = 1/18
Answer:
1/18
Step-by-step explanation:
I N E E D P O I N T S :O)
If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum
Answers
9514 1404 393
Answer:
d) 10.38%
Step-by-step explanation:
The multiplier for four quarters of quarterly compounding is ...
(1 +10%/4)^4 = 1.025^4 = 1.103812890625
This is about 1 + 10.38%.
The effective rate of interest is about 10.38% per annum.
Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT
Answers
Answer:
77
Step-by-step explanation:
Currently:
Talk to 8 customers per hour, work 8 hours, so:
Talk to 8*8 = 64 customers.
With the increase:
Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then
64*1.2 = 76.8
Rounding up, 77 is the answer.
Which is the solution to-x/2<-4
A x<-8
B x2-8
C x <8
D x 8
Answers
Answer:
A.x<-8
Step-by-step explanation:
=1/2x<−4
=2*(1/2x)< (2)*(-4)
= x<-8
convert the following decimals to a simplified fraction. showing all work
Answers
Hello.
Answer:
1/200, 667/500
I hoped this helped
