The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Find the
i)value of x
ii) area
iii)cost of weeding the plot at GHc 0.24 per m²
Answer:
P.=2(2x+5)+2(x-10)=80cm
6x-10=80
x=90/6=15cm
Area= L*W= 35*5=175 squared cm= 0.0175 squared m
Cost= 0.24 * 0.0175 = GHc 0.0042
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The cost of weeding the rectangular plot is 0.0042 GHc.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
A.) The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,
Perimeter of the rectangel = 2(L+W)
80 = 2[(2x+5)+(x-10)]
80/2 = 2x+5+x-10
40 = 3x -5
40+5 = 3x
x = 15
Hence, the value of x is 15.
B.) The length of the rectangle = (2x+5) = 2(15)+5 = 35 cm = 0.35 m
The width of the rectangle = (x-10) = 15-10 = 5 cm = 0.05 m
Now, the area of the rectangle = L×B = 0.35m × 0.05m = 0.0175m²
C.) Given the cost of weeding 1m² is 0.24, therefore, the cost of weeding the rectangular plot is
Cost = 0.0175 × 0.24 = 0.0042 GHc
Hence, the cost of weeding the rectangular plot is 0.0042 GHc.
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Please help explanation if possible
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - [tex]\frac{3}{2}[/tex] x + 1 ← equation of line
Evaluate the expression when b= -6.
b^2-6b+4
Answer:
76
Step-by-step explanation:
when b = -6
b^2 - 6b + 4
(-6)^2 - 6(-6) + 4
36 + 36 + 4 = 76
(remember, a negative times a negative always equals a positive)
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Answer:
A)
Step-by-step explanation:
Volume of a Rectangular Prism Formula: L x W x H
6 yd x 3 yd x 4 yd = 72 yd^3
Simplify. x/4+x/3//x/2
Answer:
Step-by-step explanation:
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
Q = (√x-5)² + (√x+4)-41
Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?
14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49
Answer:
n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
someone answer fast with a model: Kevin spends $11.25 on lunch every week during the school year.If there are 35.5 weeks during the school year how much dies Kevin spend on lunch over the entire school year? Remember to round to the nearest penny
Answer:
$399.45
Step-by-step explanation:
all you gotta do is
11.25×35.5
The cost,c(x), for a taxi ride is given by c(x)=3x+2.00, where x is the number of minutes. What does the slope mean for this situation
Answer:
for every minute it will cost 3 dollars
Step-by-step explanation:
c(x)=3x+2.00
The cost to get in the taxi is 2 dollars
The slope is 3
3x means that for every minute it will cost 3 dollars
cherly gets paid $8 per hour at her job at the record store. she made a total of $96 last week .write a multiplication equation to show how many hours she worked last week
Answer:
8(h)=96
Step-by-step explanation:
Remember when you are writing a multiplication equation, it's a division backwards.
96/8=h
h×8=96
hope this helps you
goodluck
Answer: 8x=96
Step-by-step explanation:
8X = 96
X = 96/8
X = 12 hours
help
1) find the value of x
2)find length of a side of the square
Answer:
x = 12 , s = 41
Step-by-step explanation:
The sides of a square are equal , so
4x - 7 = 3x + 5 ( subtract 3x from both sides )
x - 7 = 5 ( add 7 to both sides )
x = 12
Then
length of side s is
s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41
The diagram below represents which percent?
An area model with 4 shaded sections and 1 unshaded section.
Answer:
25%
Step-by-step explanation:
1 ÷ 4 = 0.25
0.25 x 100 = 25 = 25%
2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).
Answer:
A=pq/2
=4.25·4.25/2
=9.03125
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
Step-by-step explanation:
Diagonal of rhombus bisect each other.
d₁ = AC = 4.25*2 = 8.5 cm
d₂ = 8.5 {Given diagonals are equal}
Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]
[tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]
B
C
А
Find the length of "a", to
the nearest tenth, using
the Pythagorean Theorem.
Enter
Answer:
5.3
Step-by-step explanation:
a^2+6^2=8^2.
a^2=64-36. a=2*sqrt(7)=5.3
Find the measure of side C and round to the nearest whole number. Pls help ASAP
Answer:
Step-by-step explanation:
Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:
[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:
[tex]c=\frac{28}{sin(30)}[/tex] so
c = 56
Please what is the solution for the question above.......
Please I need it Urgently.
Also Please answer for me to gain points
Answer:
A
Step-by-step explanation:
simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal. R the rate of interest and T the time in years
Here P = 880000, R = 3.5 and T = 2.5 , then
I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]
= 8800 × 3.5 × 2.5
= 77000 → A
The HCF of 85 and 95
Answer:
So the greatest common factor 85 and 95 is 5.
Step-by-step explanation:
We will now calculate the prime factors of 85 and 95, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85 and 95.
We will first find the prime factorization of 85 and 95. After we will calculate the factors of 85 and 95 and find the biggest common factor number .
Step-1: Prime Factorization of 85Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:
85 = 5^1 × 17^1
Step-2: Prime Factorization of 95Prime factors of 95 are 5, 19. Prime factorization of 95 in exponential form is:
95 = 5^1 × 19^1
Step-3: Factors of 85List of positive integer factors of 85 that divides 85 without a remainder.
1, 5, 17
Final Step: Biggest Common Factor NumberWe found the factors and prime factorization of 85 and 95. The biggest common factor number is the GCF number.
So the greatest common factor 85 and 95 is 5.
7+3√5/3+√5 - 7-3√5/3-√5
Answer:
0
Step-by-step explanation:
We can write the equation in a simpler form so it doesn't look like a mess of numbers:
[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]
Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.
What's the angle sum of a polygon having 7 sides.
Answer:
900°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
Which expression is equal to "13 more than the quotient of n and 8"? *
A) 13n + 8
B) n - 8 + 13
C) n * 8 + 13
D) (n / 8) + 13
Answer:
D
Step-by-step explanation:
The quotient of n and 8 is [tex]\frac{n}{8}[/tex] and 13 more than this is
[tex]\frac{n}{8}[/tex] + 13 → D
lf y 1/4 · when x=5, find y when x=7. given that y varies directly with x.
y=
Answer:
y= 0.35
Step-by-step explanation:
y 1/4
when x=5,
find y=? when x=7.
given that y varies directly with x.
y = kx
Where k is the constant of proportionality
k= y/x
k= (1/4)÷ 5
k= 0.05
y= kx
y= (0.05)(7)
y= 0.35
I Hope this will helpful...
Can A KIND SOUL HELP ME OUT??? ALL THE ANSWERS I SEE ARE WRONG FOR THIS PROBLEM!!!!!!!!!!:(((
Find the measures of angles x, y and z in the figure.
please show how you got it so I can see if the answer makes sense!!!!
Answer:
x=y=z=106
Step-by-step explanation:
The upper line is a straight line, so x+74=180, x=106.
y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles
Lusine saw birds and mice eating seeds on the ground. She calculated 12 heads and 39 legs in total. How many birds and mice are on the ground?
Answer:
4.5 birds, 7.5 mice
Step-by-step explanation:
We know that birds have 2 legs and mice have 4. Furthermore, birds have 1 head as well as mice.
If b represents the amount of birds and m represents the amount of mice, because there are only birds and mice here, the total amount of birds and mice (b + m) must equal 12.
b + m = 12
Next, to find the total amount of bird legs, we must add 2 legs for each bird. Another way of putting this is to multiply 2 by the amount of birds, or b * 2. Similarly, the amount of mice legs is equal to m * 4. The total amount of legs is equal to 39, so
2b + 4m = 39
Our two equations are thus
b + m = 12
2b + 4m = 39
One way to solve this is to solve for m in the first equation and plug that into the second. We have
b + m = 12
subtract b from both sides
m = 12-b
substitute that into the second equation
2b + 4(12-b) = 39
2b + 48 - 4b = 39
-2b + 48 = 39
subtract 48 from both sides to isolate the b and its coefficient
-2b = -9
divide both sides by -2 to isolate b
b = 4.5
Therefore, there are 4.5 birds on the ground (there is somehow a half of a bird!)
Plugging that into m = 12-b, we have m = 12-4.5 = 7.5
The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.
What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
please explanation needed
Let the adding value be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}[/tex]
[tex]\\ \sf\longmapsto 6(2+x)=5(5+x)[/tex]
[tex]\\ \sf\longmapsto 12+6x=25+5x[/tex]
[tex]\\ \sf\longmapsto 6x-5x=25-12[/tex]
[tex]\\ \sf\longmapsto x=13[/tex]
The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
Brainliest 70 Points! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + d Down by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.
g(x) = f(x) moved down by 4 units
g(x) = f(x) - 4
g(x) = 7x + 3 - 4
g(x) = 7x - 1
Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.
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slove the equation for y and x
Answer:
x=2
y=-3
Step-by-step explanation:
2x+y = 1
3x+2y = 0
Multiply the first equation by -2
-4x-2y = -2
Add this to the second equation
-4x-2y = -2
3x+2y = 0
-------------------
-x = -2
Multiply by -1
x = 2
Now find y
2x+y = 1
2(2) +y = 1
4 +y = 1
Subtract 4 from each side
y = 1-4
y = -3
Answer: y = -2x + 1
Solution to the system: (2,-3)
Step-by-step explanation:
2x + y = 1
3x + 2y = 0
We can solve this using substitution
The first thing that we're going to want to do is solve for y in the first equation
Solve for y
2x + y = 1
Subtract 2x from both sides
y = 1 - 2x
We now have the two equations
y = -2x + 1 and 3x + 2y = 0
The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation
3x + 2y = 0
Substitute -2x + 1 for y
3x + 2(-2x + 1) = 0
Now solve for x
Distribute the 2 to the -2x and 1
2 * -2x = -4x
2 * 1 = 2
We now have 3x - 4x + 2 = 0
Combine like terms
-x + 2 = 0
Add x to both sides
2 = x
Now to find the value of y we substitute the value of x into one of the equations and solve for y
2x + y = 1
x = 2
2(2) + y = 1
Multiply
4 + y = 1
Subtract 4 from both sides
y = -3
The solution to the system is (2,-3)
And we are done!
Help anyone can help me do the question,I will mark brainlest.
Step-by-step explanation:
h) p^2+b^2=h^2
5^2+x^2=8^2
25+x^2=64
x^2=64-25
x^2=39
x=√39
x=6.244998
We know that
p² + b² = h²
Part a
5² + x² = 8²
x² = 64 - 25
x = √39
Part B
4² + 6² = x²
16+36 = x²
√52 = x
√2×2×13 = x
x = 2√13
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