Answers
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
Related Questions
2 + 2x + 1 = 3 + 2 + 3
A one solution
B no solutions
C infinite solutions
Answers
Answer:
The correct answer is A. one solution.
The actual solution is x = 2.5.
Step-by-step explanation:
Here is the solution below:
Step 1: 2 + 2x + 1 = 3 + 2 + 3 <----- Here is the original problem.
Step 2: 2 - 2 + 2x + 1 - 1 = 8 - 2 - 1 <----- Subtract 1 and 2 from both sides.
Step 3: 2x = 5 <----- Simplify
Step 4: 2x/2 = 5/2 <---- Divide both sides by 2.
x = 2.5
Hope this helps! :D
A. One Solution
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=5/2
Decimal Form: x=2.5
Mixed Number Form: x=2 1/2
this is an arithmetic progression. please help!
A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?
Answers
Answer:
The last installment is RM 280
=========================
GivenAP with:
The first term a = 50,Common difference d = 10,Number of terms n = 24.SolutionUse the nth term equation of AP to find the last installment:
[tex]a_n=a_1+(n-1)d[/tex][tex]a_{24}=50+(24-1)(10) = 50+23*10=50+230=280[/tex]PLEASEEE HELP ME FO THISSS
Answers
As C is the mid-point of BD.
Therefore, BC=DC ...(i)
As AB ⊥ BD and ED ⊥ BD
So, ∠ABC= 90° and ∠EDC= 90°
Therefore, ∠ABC=∠EDC= 90° ...(ii)
As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.
Therefore, ∠BCA=∠DCE ...(iii)
Now, in ΔABC and ΔEDC,
Angle, ∠BCA=∠DCE [ from equation (iii)]
Side, BC=DC [ from equation (i)]
Angle, ∠ABC=∠EDC [ from equation (ii)]
So, by ASA property of congruency, ΔABC and ΔEDC are congruent
Hence, ΔABC ≅ ΔEDC.
whats the answer giving brainliest answer
Answers
Answer:
C because its the only one that fits the question its asking. 12-6 8-4 4-2
Step-by-step explanation:
i need help with this
Answers
Answer: A.3x² - 2x - 6
Step-by-step explanation:
Find the missing side, round to the nearest hundredth.
Answers
1st Triangle
Answer: 10.57
Steps:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
5.2^2 + 9.2^2 =c^2
27.04 + 84.64 =c^2
111.68=c^2
c=10.57
2nd Triangle
Answer: 5.91
Steps:
Use Pythagorean theorem
2.7^2 + b^2 = 6.5^2
7.29 + b^2 = 42.25
b^2 = 34.96
b = 5.91
Answer:
1)10.57
2)5.91
Step-by-step explanation:
1)According to Pythagoras theorem
c=√a²+b²
=√5.2²+9.2²
=√27.04+84.64
=√111.68
=10.57
2) according to Pythagoras theorem
c²=a²+b²
6.5²=2.7²+b²
b²=6.5²-2.7²
b=√6.5²-2.7²
=√42.25-7.29
=√34.96
=5.91
-2/3(3x - 4) +3x =5/6
What is X
X= -19/6
X= -11/6
X = 21/6
X=29/6
Answers
The value of x from the given linear function is -11/6
Linear equationLinear equations are expression that has a leading degree of 1
Given the linear equation below
-2/3(3x - 4) +3x =5/6
Expand
-2/3(3x) - 2(-4) + 3x = 5/6
-2x + 8/3 + 3x = 5/6
Collect the like terms
x = 5/6 - 8/3
x = (5-16/6
x = -11/6
Hence the value of x from the given linear function is -11/6
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Tommy went to Taco World and bought 3 tacos and 4 burritos and spent $14.30. Burritos cost twice as
much as tacos. What was the cost of each taco and each burrito?
Answers
If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .
We are required to find the cost of each tacos and burrito.
Suppose the cost of a taco be x and the cost of burrito be y.
Because the cost of burrito is twice as the cost of taco so y=2x.
Total expenditure by Tommy=3x+4*2x
14.30=3x+8x
11x=14.30
x=1.30
y=2*1.3
y=$2.60
Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.
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Which of the following is NOT always true of a function and its inverse?
Answers
The statement that is not always true of inverse functions is (d) f-1(x) is a function
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the statement that is not always true of inverse functions?As mentioned above,
The inverse functions are the opposite of an original equation
This means that:
If a function is f(x), then the inverse if f-1(x)
However, all inverse equation are relations, but not all inverse equations are functions
This means that the statement that is not always true of inverse functions is (d) f-1(x) is a function
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Which two points have the same absolute value?
P Q R S
_______________
-1 0 1
Answers
Answer:
-1 and 1
Step-by-step explanation:
HELP!!!! I NEED IT ASAP!!!!
Answers
Answer:
27 and 28
Step-by-step explanation:
Let x = the first number
Let x + 1 = the second number
x + x + 1 = 55 Combine the x's
2x + 1 = 55 Subtract 1 from both sides.
2x = 54 Divide both sides by 2
x = 27 the second number would be 28
a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels.
Answers
6x² is the total area, in square feet, covered by the wood panels.
What is area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.
So based on this, we can say that The expression to represent the total area, in square feet,
So, the wood panels is to be considered as the 6 × x² = 6x²
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A bicycle with 28-inch diameter wheels is traveling at 25 mi/h. find the angular speed of the wheels in rad/min.
Answers
The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min
To solve this angular speed problem the formula and the procedure we will use is:
v = w * r
Where:
v = tangential velocityw = angular velocityr = radiusInformation about the problem:
v = 25 mi/hd = 28 inchw = ?Calculating the radius of the wheel, we have:
r = d/2
r = 28 inch/2
r = 14 inch
Converting the velocity unit from mi/h to inch/min, we get:
25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min
Applying the tangential velocity formula and isolating the angular velocity, we get:
v = w * r
w = v / r
w = 26400 inch/min / 14 inch
w = 1885.7 rad/min
What is angular speed?When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).
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Subtract 5¢ from $4.10. Include the dollar sign and no spaces in your answer.
Answers
Answer:
4.05 c
Step-by-step explanation:
Answer:
$4.05
Step-by-step explanation:
$4.10 - $0.05 = $4.05
(7x-1)+(13x-19)=180 solve for x
Answers
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
(7x - 1) + (13x - 19) = 180
Step 2: Solve for x
Combine like terms: 20x - 20 = 180Isolate x term: 20x = 200Isolate x: x = 10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: (7(10) - 1) + (13(10) - 19) = 180Multiply: (70 - 1) + (130 - 19) = 180Subtract: 69 + 111 = 180Add: 180 = 180Here we see that 180 does indeed equal 180.
∴ x = 10 is the solution to the equation.
Please help
Thanks In advance!
Answers
the answer will be 4
x=4.
the angle ABC is parallel to angle AEF
If he drank 80% of his water on his entire hike. How much did he drink? (Remember he brought 3 liters of water.)
p.s i have class
Answers
Answer:
2.4 Litres of waterStep-by-step explanation:
80% of (3 litres)
You can take 3 litres to be 3000 ml which is how I solved it.
OPTION 1_________80/100 x 3000
=2400 or 2.4 litres
The same can go with not taking ml which you can just use litres
OPTION 2_________80/100 x 3
=2.4 litres
I used the ml since I do not need the calculator for that one and it is faster to calculate.
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answers
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
Maria drove 520 miles in 8 hours. How many miles per hour did she drive?
Answers
Answer:
65 mph
Step-by-step explanation:
520/8 is 65
Please help someone anyone please help
Answers
Answer:
if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080
Step-by-step explanation:
Answer:
1080 calories
Step-by-step explanation:
135x8=1080
PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answers
We know that f(x) is a positive, decreasing, and concave down function.
Therefore, the order, from least to greatest is:
right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpointPLEASE HELP WILL MARK BRAINLIEST NEED THE SMARTEST PEOPLE!!!
Answers
Answer:
-430
Step-by-step explanation:
Find a quadratic function that includes the set of values below.
(0,6) (2,12) (3,9)
The equation of the parabola is y= ____
Answers
The quadratic function that includes the set of values is y = -2x^2 + 7x + 6
How to find a quadratic function that includes the set of values?The set of values is given as
(0,6) (2,12) (3,9)
A parabola is represented as
y = ax^2 + bx + c
At (0, 6), we have
6 = a(0)^2 + b(0) + c
This gives
c = 6
So, we have
y = ax^2 + bx + 6
At (2, 12), we have
12 = a(2)^2 + b(2) + 6
This gives
4a + 2b = 6
At (3, 9), we have
9 = a(3)^2 + b(3) + 6
This gives
9a + 3b = 3
Using a graphing tools, we have
a = -2 and b = 7
So, we have
y = -2x^2 + 7x + 6
Hence, the quadratic function that includes the set of values is y = -2x^2 + 7x + 6
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how far away is earth from the sun?
Answers
Answer:
the earth is 93.111 million miles away from the sun
how do you do this with decimals
Answers
Steps:
This is an isosceles triangle which mean 2 angles and 2 sides are congruent. In this case, the 3.3 sides corresponds to the 39 degree angle. This means that the other angle next to x angle is also 39 degrees.
39+39= 78
All the angles in the triangle needs to equal 180.
So subtract 78 from 180 to find the degree of x angle.
180-78= 102
f(x) = x² + 3x
f(-4)=
evaluate the function
Answers
Answer:
4
Step-by-step explanation:
f(x) = x² + 3x
f(-4) = (-4)^2 + 3×(-4)
= 16 - 12
= 4
Max puts a stopper in the bathtub and turns on the faucet at t=0. After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub. Write an equation that relates the number of gallons, g, to the time, t. Does the relationship represent a linear function? Justify your response.
Answers
Answer:
y = 2.2x
Yes, it represents a linear function
Step-by-step explanation:
Given that :
Stopper applied at t = 0
At t = 5 minutes ; water in tub = 11 gallons
At t = 10 minutes ; water in tub = 22 gallons
General form of a linear function :
y = mx + c
Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively
The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0
Slope = change in y / charge in x
Slope = (22 - 11) / (10 - 5)
Slope = 11 / 5
Slope = 2.2
Hence ;
y = 2.2x + 0
y = 2.2x
Yes, it represents a linear function
Find the difference: -15 - 47
Answers
Answer:
-62
Step-by-step explanation:
One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:
- (15 + 47)
- (62)
Remove the parentheses
-62
express this number in scientific notation 2,000,000
Answers
Answer:
In scientific notation the number would be 2×10^6.
Hope it helps!
Im on a test and i need the answer really bad please help me out