Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
4 fl oz for $8.36 unit rate
Answer:
I'm pretty sure it's $2.09 for 1 fl oz.
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is
What is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.
Answer:
8/9
Step-by-step explanation:
the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9
Six girls of differing heights are arranged in 2 rows of 3 each. Each girl is taller than the girl in front of her and also taller than the girl to her right. How many arrangements of the six girls are possible?
Answer:
5 possible ways
Step-by-step explanation:
Questions like this are a bit technical. Therefore, there are no perfect formula, all you have to do is picture the scene and count. Having said that. Let us use name the positions the girls are standing according to the question:
D E F
A B C
I have arranged this according to how the question has specified, meaning F is the tallest and A is the shortest if I take F to be at the back right and A to be at the front left.
In reality, A and F can never change their positions if we maintain the arrangement specified.
What we have left is to look for how to rearrange, D, E, B and C that will still make it fit the arrangement. Take note that E cannot be in front of B because she is taller than B.
Since positions for shortest and tallest are fixed, you are left with 4 people and you need two of them for the front position. This can be gotten using 4C2 = 6, but the two tall persons can't be in the front else it will disrupt the arrangement, so we have to eliminate that case which will occur once, therefore we have 5 possible ways we can make the arrangements as required.
3. Multiply and simplify: (4x + 3)(x - 1)
Answer =
Answer: = 4x² - x - 3
(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3
Step-by-step explanation:
Jerilyn made 40 treats for her birthday. She gave away 14 to her family before taking the rest to school. What percent did she give away to her family?
−x + y = 2 2x + 4y = 32 What action was completed to create this new equivalent system of equations? −x + y = 2 x + 2y = 16
A. Divide the second equation, 2x + 4y = 32, by 2.
B. Divide the first equation, −x + y = 2, by 2.
C. Multiply the second equation, 2x + 4y = 32, by −1.
D.Multiply the first equation, −x + y = 2, by −1.
Answer:The answer is A
Step-by-step explanation:
What’s the value of c ? Just type in the answer!!!
Answer:
43
Step-by-step explanation:
Plz quick can some one help me with these two questions also plz show working out
I NEED HELP PLEASE I WILL MARK
Answer:
-22
Step-by-step explanation:
-22 is the quotient
Answer: -22
Hope this helps.
Three more than the product of a number and 5 is equal to 6.
Mark and his 3 friends are out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
undefined slope
Step-by-step explanation:
This is a vertical line parallel to the y- axis.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (- 5, - 6) ← 2 points on the line
m = [tex]\frac{-6+3}{-5+5}[/tex] = [tex]\frac{3}{0}[/tex]
Since division by zero is undefined then the slope is undefined.
Note that all vertical lines have an undefined slope
Aretha Foster, single, is marketing director for
The Canterbury Community, a senior living center. She is paid
a weekly salary of $735.00. If her weekly federal income tax
withholding is $66.84, find the number of withholding allowances
she claims if the tax is computed using the percentage method.
Answer:
11.14 brailiest please
Step-by-step explanation:
After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]s(av) = \frac{∆x}{∆t} \\ [/tex]
[tex]s(av) = average \: \: speed[/tex]
[tex]∆x = covered \: \: distance[/tex]
[tex]∆t = time \: \: of \: \: the \: \: covered \: \: distance \\ [/tex]
_________________________________
[tex]s(av) = \frac{183}{3} \\ [/tex]
[tex]s(av) = 61 \: \: \frac{mile}{hour} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Giving 15 points plz plz help me
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
Find the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
Answer:
-3, 0, 1/2, 3
The factors of function f is -3, 0, 1/2, 3
We have given that,
the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
What is the function?A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
We have to determine the factor of the given function
[tex]2x^4 - x^3 -18x^2 + 9x =0[/tex]
[tex]x(2x^3-x^2-18x+9)=0[/tex]
[tex]x=0 \ and \ 2x^3-x^2-18x+9=0[/tex]
[tex]2x^3-x^2-18x+9=0[/tex]
[tex]2x-1=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-3=0[/tex]
Therefore the factors [tex]2x^3-x^2-18x+9=0[/tex] are
[tex]x=\frac{1}{2},\:x=-3,\:x=3[/tex]
-3, 0, 1/2, 3
To learn more about the factor of function visit:
https://brainly.com/question/25829061
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What's the square root of 17 rounded to the nearest tenth
Answer:
4.0
Step-by-step explanation:
Answer:
4.1
Step-by-step explanation:
4.1231056 is [tex]\sqrt{17}[/tex]
When rounding to the nearest tenth, we get
4.1
Hope I helped,
PumpkinSpice1
On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.
Answer:
Step-by-step explanation:
a reflection followed by a rotation
The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.
For the given situation,
The graph shows the triangle ABC plotted in the fourth quadrant.
The triangle A'B'C' are graphed in the third quadrant as its reflection.
The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.
Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
Learn more about graphs here
https://brainly.com/question/11232423
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The absolute value of ______ is the same number
Fill in the blank
Answer: I dont know what the fill in the blank would be, but simply make any number not negative
Step-by-step explanation: Example |-3| = 3
there are always positive
TRUE/FALSE: The slope of the line that is PEREPNDICULAR to this line is -3/2.
Answer:
True
Step-by Step Explanation:
The sum of four times a number and negative three is twelve. What is the number?
2 1/4
3 3/4
-2 1/4
6
Answer:
Dgfyb
Step-by-step explanation:
A circular rug has a circumference of 314 inches. What is the approximate area? Round to the nearest whole inch. Use 3.14 for pie 
Answer:
The area is 7850 square inches
Step-by-step explanation:
Given the circumference, we want to calculate the area
mathematically, the circumference is;
C = 2 pi r
So r is C/2 pi
Area = pi * r^2
Substitute value for r from circumference;
Area = Pi * c^2/4pi^2
Area = C^2/4pi
Area = 314^2/4 * 3.14
Area = 7850 Inches square
Answer:
7,850
Step-by-step explanation:
#11
write the equation of a line in point slope-form
Answer:
y - 5 = 1/4 (x+1)
Step-by-step explanation:
y - 5 = 1/4 (x - (-1))
to simplify the problem you can change (x - (-1)) to (x+1) because subtracting a negative is the same as adding a positive
y - 5 = 1/4 (x+1)
and that is your final answer if you want to keep it in point slope formula
SOMEONE HELP I DONT KNOW WHAT THE HECK IM DOING (7th grade)
Answer:
Step-by-step explanation:
I'm 8th grade, G
For this problem, you can start by taking the 35 and dividing it by 5 to get 7. Then you need to take 300 and divide that by 5 to get the right proportions. Then you can take your new number from 300 and divide that by 7, and you should not be on the right path because I'm probably an idiot.
Sorry bout it
Answer:
hi
Step-by-step explanation:
i'll mark you as brainliest
Answer:
y=x+30
Step-by-step explanation:
use y2-y1/x2-x1 to find the slope
the y-int is 30 since looking at the answer choices
Answer:
y=x+30
Step-by-step explanation:
Find the measure of the indicated arc.
What’s the answers? ,,
Solve for AB
a: 3.6
b: 15
c: 4
d: 10
Look at the picture I need help
Answer:its 7 because half of 14 cp=14 so pd =7
Step-by-step explanation: