Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
stay safe stay happy
Answer: Area= 1400[tex]meter^{2}[/tex]
Step-by-step explanation:
ok so we can assume the
breadth=X
so, length = X+5 (because the length is 5 meters more than the breadth)
perimeter= 150 meters
the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)
so now if we put the values,
2 * ( X+5 +X) = 150 ( because 150 is the perimeter)
2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).
now we multiply 2 with both sides
so ( 2 * 2X) + (2 * 5)
hence, 4X + 10 = 150
now we will solve the equation,
4X= 150 -10 (because we did transposal the signs will change from "+" to "-")
4x= 140
again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing
so now,
X= 140÷4
which is equal to 35
so finally X = 35
so as we have written in the beginning breadth= X
and LENGTH= X+5
so now we have found X
BREADTH= 35
LENGTH= 40 (because 35+5 is 40)
now we have to find area the formula for finding the area is LENGTH×BREADTH
so, 40 × 35 = 1400
now we put the unit which is square meters also known as [tex]m^{2}[/tex]
so there is your final answer 1400[tex]m^{2}[/tex]
Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?
Answer:
[tex]1 \frac{2}{6} [/tex]
Step-by-step explanation:
[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]
Select all ratios equivalent to 7:5.
Answer:
77 : 55
Step-by-step explanation:
77 : 55
divide the ratio by 11.
7 : 5
Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106
Answer:
adding by 13
Step-by-step explanation:
subtract 54-41
Find the y-intercept of the line: 6x – 3y +6=0
Answer:
Step-by-step explanation:
The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:
6(0) - 3y + 6 = 0 and
-3y + 6 = 0 and
-3y = -6 so
y = 2
8x-5y-2x-3y simplify the expression by combining like terms
(a) Find the value of xif 10, x and 30 are in A.P.
(b) If 6,x,y, and 18 are in A.P., find the value of x and y.
it's a optional mathematics Questions please solve him
Part A
Answer: x = 20--------------------------------
Explanation:
AP = arithmetic progression, which is another way of saying arithmetic sequence.
Let d = common difference
first term = 10second term = first+d = 10+d = xthird term = second+d = x+d = 30Apply substitution like so
x+d = 30
10+d+d = 30 ... replaced x with 10+d
10+2d = 30
2d = 30-10
2d = 20
d = 20/2
d = 10 is the common difference
Therefore,
x = 10+d = 10+10 = 20
The AP {10,x,30} updates to {10,20,30}. We see the gap between terms is 10 units. All AP's have the same gap width between adjacent terms.
=============================================================
Part B
Answers: x = 10 and y = 14--------------------------------
Explanation:
We use the same ideas mentioned back in part A.
d = common difference = unknown for now
first term = 6second term = first+d = 6+d = xthird term = second+d = x+d = (6+d)+d = 6+2d = yfourth term = third+d = y+d = (6+2d)+d = 6+3d = 18Hopefully you can see how each term builds up to form the next one. We'll solve that last equation like so
6+3d = 18
3d = 18-6
3d = 12
d = 12/3
d = 4
So we then can say:
x = 6+d = 6+4 = 10y = 6+2d = 6+2(4) = 6+8 = 14The arithmetic sequence {6,x,y,18} updates to {6,10,14,18}. There's a gap of 4 between each adjacent term.
Find the least common multiple of 3 and 8
Answer:
the right answer is 24
hope it help
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10
Answer:
Area = 6x + 36
Perimeter = 3x + 10
Step-by-step explanation:
Sides of the triangle: 12 ; (x - 7) & (2x + 5)
Perimeter of the triangle = sum of all the sides
= 12 + x - 7 + 2x + 5
= 2x + x + 12 - 7 + 5 {Combine like terms}
= 3x + 10
Area of triangle:
Base = 12 & height = h = x +6
[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]
= 6 *(x + 6) {Use distributive property}
= 6*x + 6*6
= 6x + 36
This chart shows the temperature recorded at noon for some world cities . Which two cities had different of 25°c
Answer: London and Moscow.
Step-by-step explanation: This problem is simple. First, we use process-of-elimination. None of the positive values have a difference of 25 degrees, so one of the two values must be -12 degrees aka Moscow. From there, we add 25 to -12 to get 13. This means that the other city is London since it is 13 degrees.
What division problem iS
being
modeled?
Answer: I THINK fraction
Step-by-step explanation:
1/4 = fraction
(HELP ASAP!!)
If you deposit $5000 into an account paying a rate 15% simple interest annually, how much interest will you make in 24 months
Answer:
1500
Step-by-step explanation:
24 month means 2 years ( N )
rate 15 pcpa ( R )
amount is 5000 ( P )
so by formula
interest = P×N×R/100
so ( I ) = 5000×2×15/100
so( I ) = 50×2×15 ....... ( here 100 ( 2 zero ) and 5000.( 2 zero ) got canceled
so ( I ) = 50×2×15
so ( I ) = 100×15
so ( I ) = 1500
MARK AS BRAINLIST IF IT IS USEFUL
Identify the terms, coefficients, constant terms, and like terms of the
expression.
1.-3x - 5- 7x - 9
2.-10c - 6 + c
Answer:
1) terms: -3x, -5, -7x, 9
Coefficients: 3 and 7
Constant: -5, -9
Like terms: -3x and -7x (-3x + -7x = -10x)
-5 and -9 = -14
2) terms: -10c, -6, c
Coefficients: -10 and 1
Constant: -6
Like terms: -10c and c (-10c + c = -9c)
Step-by-step explanation:
………………………………….. x z z z
Answer:
a: 7:3
b:by reading 10 hours
Answer:
a: 4 : 1
b: 12 (water) : 3 (sugar)
Step-by-step explanation:
ratio is similar to a fraction
water to sugar
the "to" is for what of every what it needs
to = can be used as ":"
For example:
For every 1 cup of sugar you need 4 cups of water to make the humming bird nectar. (it needs to be IN ORDER which is why for letter 'a' I did it water to sugar)
What load can be lifted by an effort of 800N if the effort arm is 80cm and the load arm is 20cm?
Step-by-step explanation:
Solution,
Effort=800N
Effort arm=80 cm
Load arm=20 cm
Load=?
Now,
by the principle of lever, we have
Load×Load arm=Effot×Effort armLoad×20=800×80Load=800×80/20Load=3200 NSo, the load of 3200N can be lifted .
Answer:
load (l) =?
LOAD ARM = 20 CM
EFFORT ( E)= 800N
EFFORT ARM = 80cm
load *load arm = effort *effort arm
l*20 cm = 800 *80
L = 64000/20
answer = 3200
Pliz help solve this what's 3+4×2.00×29
Here the other question 5n+1 find the sequence
Answer:
Step-by-step explanation:
1) 3 + 4*2*29 = 3 + 232 = 235
First we have to do multiplication and then we have to add
2) 5n + 1
Term 1 ; n = 1 ; 5n + 1 = 5*1 + 1 = 5 + 1 = 6
Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11
Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16
Term 4; n = 4 ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21
The sequence : 6 , 11, 16 , 21 ..........
1.
Find the first, fourth, and eighth terms of the sequence. A(n) = –2 • 2^n–1
A. –4; –32; –512
B. 1; –64; –16,384
C. –8; –64; –1,024
D. –2; –16; –256
Answer:
D
Step-by-step explanation:
given that
A(n)=-2•2^(n-1)
n->represent the terms
A(1)=-2•2^(1-1)=>-2•2^0
A(1)=-2•1=-2
For the fourth term
A(4)=-2•2^(4-1)
A(4)=-2•2^(3)
A(4)=-16
for the 8th term
A(8)=-2•2^(8-1)
A(8)=-2•2^(7)
A(8)=-256
Therefore first, fourth and eight => -2;-16;-256
To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
T-chart using positive real numbers C. T-chart using all real numbers
b. T-chart using negative real numbers d. T-chart using random values for x and y
a.
Please select the best answer from the choices provided
OA
ОВ
D
and Guit
Submit
To graph an exponential,
d. T-chart using random values for x and y.
What is mean by graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Now,
We know an exponential function is a function in which the independent variable is the exponent.
One such function is y = eˣ
Now, To graph an exponential function you come up with values to use in the graph should be a T-chart using random values for x and y.
As it would result in graphing the complete nature of the function.
Learn more about graphs here :
brainly.com/question/2288321
#SPJ7
Solve the problem by writing a inequality
Answer:
first option
Step-by-step explanation:
number of shirts = x
price of shirts made = 9x+20
amount u earn by selling the shirts = 15x
profit = 15x - (9x+20)
profit of at least 150,
15x - (9x+20) ≥ 150
7. Is 5.787787778... a rational or irrational number?
Explain.
Answer:
Irrational
Step-by-step explanation:
Its irrational as it has no pattern of numbers after decimal point and the number are infinite
Answer:
irrational because it has a coma after one number
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relatinoship between her labeling speed and the number of minutes it would take her to finish labeling.
it will take her 34 mins coz I said so innit
From midnight to 6:00 am, the temperature dropped 0.9°C each hour. If the temperature at 6:00 am was -0.4°C, what was the temperature at midnight?
Help like asap
Answer:
5.8°C
Step-by-step explanation:
[tex]6 \times 0.9 = 5.4[/tex]
[tex]Therefore, 0.9 + 5.4[/tex]
[tex] = 5.8[/tex]
HELPPPGPTPPFPPZPSKZJZ
Find the cube root of 1.331
Answer:
answer is 1.1
Step-by-step explanation:
11(1331)
11(121)
11(11)
(1)
10(1000)
10(100)
10(10)
(1)
(11/10*11/10*11/10)^(1/3)
=11/10
=1.1.
Answer:
1.1
Step-by-step explanation:
I need to describe and fix this error
9+(-6)=-3
Answer: 9 - 6 = 3
Step-by-step explanation:
What is 234 (two hundred and thirty four) X 0.35?
Answer:
81.9
Step-by-step explanation:
mark me brainliest plzz
234(234)×0.3
234×234×0.3
54,756×0.3
16,426.8
Which one describes the algebraic expression for the phrase, "twice a number decreased by 5 is greater than 12"? 2n - 5 = 12
2n - 5 < 12
12 + 5n > 2
2n - 5 > 12
Answer:
2n - 5 > 12[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
the capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base
Step-by-step explanation:
Solution:
Here,
Volume of the tank=539 litres
=539×1000cm^3=539000cm^3
Height=1.4×100cm=140cm
Let the radius of the base be r cm
Then,
22/7×r^2×140=539000
or,r^2=539000×7/22×140
or,r^2=1225
or,r=35 cm
So,
Area of base=pie r^2
=22/7×35^2
=3850 cm^2
Keep smiling and hope u r satisfied with my answer.Have a good day :)
Given Data:
Capacity of the Cylinder tank, V = 539 litres =
Height, h = 1.4 m
Area of the Cylinder, A = ?
Convert litres to m³: I litre = 0.001 m3
: . Capacity of the Cylinder tank = 539 litres = 0.539 m³
Let the radius of the base be r cm.
Find the radius of Cylinder:
Volume = πr²h
0.539 = πr²(1.4)
0.539 ÷ 1.4π = r²
r² = 0.12255
r = √0.12255
r = 0.35m
Find Area of Base:
Area, A = πr²
Area = π(0.35)² = 0.385 m²
Answer: The Area of base is 0.385 m²
Money is
divisible, and each unit is
equivalent. In other words,
money is a blank
Answer:
is this a question or something else ?
Show that 6 – 4x - x^2 can never be greater than 10.
( This is an Additional Math Question )
Answer:
see explanation
Step-by-step explanation:
Given
6 - 4x - x²
Since the coefficient of the x² term < 0 then parabola has a maximum vertex.
To find the x- coordinate of the vertex
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
with a = - 1 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2
The corresponding y- coordinate is found by substituting x = - 2 , that is
6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10
vertex = (- 2, 10 )
The maximum value of the function is the y- coordinate of the vertex
Then maximum value is 10
Thus 6 - 4x - x² is never greater than 10