Answer:
The dimensions of the lawn are 22 m and 18 m
Step-by-step explanation:
Let us solve the question
Let the length of the rectangular lawn is x m and its breadth is y m
∵ The length of the lawn = x meters
∵ The breadth of the lawn = y meters
∵ Its perimeter = 80 meters
→ The formula of the perimeter is P = 2(length + breadth)
∴ 2(Length + breadth) = 80
→ Substitute the length by x and the breadth by y
∴ 2(x + y) = 80
→ Divide both sides by 2
∵ (x + y) = 40
∴ x + y = 40 ⇒ (1)
∵ The length had been 2 m less
∴ The new length = x - 2 meters
∵ breadth had been 2 m more
∴ The new breadth = y + 2 meters
∵ The lawn would have been a square
→ The square has equal sides, then equate the new length and breadth
∴ x - 2 = y + 2
→ Add 2 to both sides
∵ x - 2 + 2 = y + 2 + 2
∴ x = y + 4 ⇒ (2)
→ Substitute x in equation (1) by equation (2)
∵ y + 4 + y = 40
→ Add the like terms
∴ 2y + 4 = 40
→ Subtract 4 from both sides
∵ 2y + 4 - 4 = 40 - 4
∴ 2y = 36
→ Divide both sides by 2
∴ y = 18
→ Substitute y by 18 in equation (2) to find x
∵ x = 18 + 4
∴ x = 22
∴ The dimensions of the lawn are 22 m and 18 m
Which division problem is equivalent to 25?
CLEAR CHECK
5÷2.
Divide 5 by 2.
Cut 5 equal sections from a 2-foot-long ribbon.
Split 5 cups of yogurt into 2 equal servings.
Maggie writes the equations below to find the unknown number
in 14 x 2 x 3 = 1. Which pair of equations shows another way that
Maggie could find the unknown number?
14 x 2 = 28
28 x 3= 0
Answer:so the answer is 2×3=6 28×3
Step-by-step explanation:well 14 * 2 equals 2828 * 3 equals 58
how do i find the radius of a sphere when the circumference is 7.4 pi
Answer:
circumference = 2pi r
7.4 pi =2 pi r
divide both side by pi
7.4/2=r
3.7 = radius
Step-by-step explanation:
Answer:
To find the radius of a sphere when you have the circumference, divide the circumference by 2pi.
Step-by-step explanation:
7.4pi divided by 2pi would be 36.51753628 <—— and round that number up
Please note that I might be wrong as I have not learned this in have learned it in class but just don’t remember it.
The table shows the sales price and the discount offered at different stores for a bicycle that Juan wants to pure
Store Name
Discount
Z-Mart
Regular price
12% off
$50 off
25% off
Bike World
$265
Juan wants to get the best deal. Which store offers the bike at the lowest price after the discount?
O A Z-Mart
OBBike World
OC. Not enough information to tell
D. ABC Sports
Answer:A
Step-by-step explanation:
runs away cutely
Determine the solution for the equation.
y^4 = 16, y = 1, 2, 4, 8, 16
(^ - means exponent)
Andre and Diego were each trying to solve 2+6=3−8. Describe the first step they each make to the equation.The result of Diego’s first step was 6=−8.
Step-by-step explanation:
2+6=3-8
2+6=8
3-8=-5
8=-5
Seven cups of yogurt cost $3.50. how much does one cup of yogurt cost?
Answer:
50 cents or .50
Step-by-step explanation:
I don't understand I need help
Answer:
I think A
Step-by-step explanation:
because the side lengths should be the same and going down the middle.
if I am wrong plz tell me
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
2m-3 =2+1m
Answer:
m=5
Step-by-step explanation:
There are no fractions involved to eliminate.
2m-3=2+1m
m=5
Based on the given scenario, the solution to the equation 2m - 3 = 2 + 1m is m = 5.
What is fraction?Fractions are a way of representing parts of a whole. They are written in the form of a numerator and a denominator, separated by a horizontal line.
For example, the fraction 3/4 represents three parts of a whole that is divided into four equal parts.
To eliminate the fractions in the equation 2m - 3 = 2 + 1m, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators of the fractions.
However, in this equation, there are no fractions, so we don't need to multiply by anything to eliminate them. The equation is already in a form that can be solved using basic algebraic techniques.
To solve for m, we can start by moving all the m terms to one side of the equation and all the constant terms to the other side:
2m - 1m = 2 + 3
Simplifying, we get:
m = 5
Therefore, the solution to the equation 2m - 3 = 2 + 1m is m = 5.
For more details regarding fraction, visit:
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write the equation of a line passing through the points (-3,4) and (3,4)
Answer:
m=0 y=4
Step-by-step explanation:
William got scores of q sub 1, , and q sub 3 on three quizzes.
a. Write a formula for the average x of all three quizzes.
b. William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third quiz to get an average of 90? What score does he need?
Answer:
a. The average is =(++) .
b. He can use the formula =−− q sub 3 , equals 3 x minus , q sub 1 , minus , q sub 2. He will need a score of =()−−= q sub 3 , equals 3 open 90 close minus 85 minus 88 equals 97 on his third quiz.
Step-by-step explanation:
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In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1/2%. At a local store a book costs $12.99 and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
Answer:
12.99/100 X 108.5 = 14.09
39.99/100 X 108.5 = 43.39
43.39 - 14.09 = 29.3
difference = $29.30
I've been given this for maths and I have no clue what to do can someone help me out?
A 24 foot ladder is leaning against the side of a house and is positioned 21 feet
from the house. How far above the ground is the point where the ladder touches
the building?
Answer:
11.7 feet long
Step-by-step explanation:
Formula: a^2+b^2=c^2
a^2+21^2=24^2
a^2+441=576
576-144=135
Square root of 135 is 11.61895004
Round to the nearest tenth is 11.7
Solve for x.
8 + x = -4
Answer:
Answer:
x = -12
Step-by-step explanation:
Let's solve your equation step-by-step.
8+x=−4
Step 1: Simplify both sides of the equation.
x+8=−4
Step 2: Subtract 8 from both sides.
x+8−8=−4−8
x=−12
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
isolate the variable by dividing each side by factors that do not contain the variable
Complete the table for the following equation then graph the line. (Show steps in the middle column of table) y=-3x-2
Answer:
Step-by-step explanation:
What is the x-intercept?
x - intercept is (-4,0)
Answer:
x- intercept = - 4
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
The line crosses the x- axis at x = - 4, which is the x- intercept
A 4-pound bag of wildflower seed covers 16 square feet. How many pounds of seed does it take to cover 1 square foot?
Answer:
.25 or 1/4 pounds
Step-by-step explanation:
In order to find the answer, divide 4 by 16.
4/16=.25Answer:
0.25 or 64
Step-by-step explanation:
Mr Smith opens a saving account with $200 and plans to put $50 per month in the account. Which expression represents this situation after x of months?
please help me , if f(x) = c and g(x) = f (x-3), which of the following best describes the graph of y = g(x)
Given quadrilateral EFGH at e(-4,7) f(8,4) G(t,-5) and h(-7,-1) using coordinate geometry prove EFGH is a rectangle
The above question was not properly written.
Complete Question
Given quadrilateral EFGH with vertices at E(-4,8), F(8,4), G(5,-5) and H(-7,-1), prove using coordinate geometry that EFGH is a rectangle.
Answer:
Quadrilateral EFGH is a rectangle.l because:
EF = GH and FG = EH
Step-by-step explanation:
The formula for coordinate geometry is given as :
√(x2 - x1)² + (y2 - y1)² when we have coordinates: (x1, y1) and (x2 , y2)
For the quadrilateral EFGH with given coordinates above to be a rectangle,
EF = GH
FG = EH
Hence:
For side EF
E(-4,8), F(8,4)
= √(8 - (-4))² + (4 - 8)²
= √12² + -4²
= √144 + 16
= √160 units
For side FG
F(8,4), G(5,-5)
=√(5 - 8)² + (-5 - 4)²
= √-3² + -9²
= √9 + 81
= √90 units
For Side GH
G(5,-5) , H(-7,-1)
= √(-7 - 5)² + (-1 - (-5))²
= √-12² + 4²
= √144 + 16
= √160 units
For side EH
E(-4,8), H(-7,-1)
= √(-7 -(-4))² +(-1 - 8)²
= √-3² + -9²
= √9 + 81
= √90 units
From the above calculation, we can see that truly,
EF = GH
FG = EH
Therefore, quadrilateral EFGH is a rectangle.
the equation of the straight line passes through the point (0,2) and has a gradient of 1/3 is????
[tex]y = mx + b \\ m = slope /gradient \\b = y - intercept[/tex]
Substitute m = 1/3 in the equation.
[tex]y = \frac{1}{3} x + b[/tex]
Substitute the given coordinate point then solve the equation for b-term.[tex](x,y) = (0,2)[/tex]
[tex]2 = \frac{1}{3} (0) + b \\ 2 = 0 + b \\ 2 = b[/tex]
Rewrite the equation by substituting the b-value.[tex]y = \frac{1}{3} x + 2[/tex]
Answer[tex] \large \boxed{y = \frac{1}{3} x + 2}[/tex]
If you have any question related to the answer, feel free to ask via comment.
At 5:30 p.m., the temperature was recorded as 4 °F. At 10:00 p.m., the temperature had dropped 2 °. Which number line below best shows the
temperature at
10:00 p.m.?
Answer:
the answer is A
Step-by-step explanation:
There are 24 kids on the soccer team and 3 coaches. What is the ratio of coaches to kids?
Answer:
3:24
Step-by-step explanation:
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest if answer all
Answer:
1.
1/10 chance
2.
2/10 chance
3.
2/10 chance
4.
0/12 chance or maybe 0/10
Step-by-step explanation:
1.1/5 chance for the number and 1/2 chance for the heads/tails so
2.2/5 chance of getting it to land on an even number + 1/2 for heads
3..2/5 chance of getting it to land on an even number and 1/2 for tails
4.you cant land a 6
A typical security camera frame rate is 30 frames per second. If a security incident over a 27 second period must be examined, how many frames may have to be checked for security purposes?
Answer:
810 frames
Step-by-step explanation:
30 frames per 1 sec : 'f' frames per 27 sec
30 x 27 = 810
ILL MARK U BRAINLIEST
A race car is running at a constant rate toward the finish line. The equation y=3x+2 can be used to represent this situation, where y is the distance traveled in miles and x is the number of minutes the car has been running.
Which statement best describes the distance traveled, given the equation?
a. Two miles from the starting point, the race car is running 3 miles per minute.
b. Three miles from the starting point, the race car is running 2 miles per minute.
c. The car is running 2 miles per minute.
d. Five miles from the starting point, the car is running 3 miles per minute.
Answer:
a
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Help please ..........
Answer:
m∠1 = 30°
Step-by-step explanation:
Properties of a rhombus,
1). Sum of adjacent angles is 180°.
2). Diagonals bisects the angles of a rhombus
By property - (1)
m∠M + m∠N = 180°
120° + m∠N = 180°
m∠N = 180 - 120
= 60°
By property - (2)
Diagonal PM will bisect the angle M.
m∠1 = m∠2
m∠1 = [tex]\frac{1}{2}(\angle N)[/tex]
= [tex]\frac{1}{2}(60)[/tex]
= 30°
+(8-9)-(32-40)+(16+20)=
Answer:
43
Step-by-step explanation:
( 8 - 9 ) - ( 32 - 40 ) + ( 16 + 20 )=
-1 - ( -8 ) + 36
-1 + 8 + 36
7 + 36
43
2 negatives become a positive.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
