A rectangle can be defined as a 4 sided geometric figure. One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.
The dimensions of the background are given as Width: 8 feet and the Length: 18 feet
The formula for the area of a rectangle is Length x Width.
The question says:
The owners want the length to be 10 feet more than its width. Hence:
L = W + 10
The area of the fenced backyard = 144 square feet.
Hence,
(W + 10) x W = 144
W² + 10W = 144
Rewriting the equation
W² + 10W - 144 = 0
We factorize the algebraic expression above
W² - 8W + 18W - 144 = 0
W(W - 8) + 18(W - 8) = 0
(W - 8) (W + 18) = 0
W - 8 = 0, W = 8
W + 18 = 0, W = -18
Since the width cannot be a negative value, the width of the backyard is 8 feet
Solving for the Length,
L = W + 10
L = 8 + 10
L = 18 feet
The length of the backyard is 18 feet.
Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.
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Use a model to explain why any number – (–7) is the same as that number + 7.
(PLEASEEEE HELPPP)
Answer:
say you buy something for 10 dollars, you are going to get charged for it, but if you take item off of your shopping cart you are taking away the -10 dollars that wouldve been charged.
Step-by-step explanation:
the reason this works is because you take away something that makes it less.
- (-7) is basically just saying delete that -7. that's why - (-7) is the same as +7
Factor completely 3xy - 3x – 2y + 2
Answer:
Step-by-step explanation:
[tex]3xy-3x-2y+2\\(y-1)(3x-2)\\Check\\(y-1)(3x-2)\\Simplify\ and\ we\ get\ our\ question\\(y)(3x)+(y)(-2)+(-1)(3x)+(-1)(-2)\\3xy-2y-3x+2[/tex]
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830
Answer: 7.083
Step-by-step explanation:
Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.
What is the least common denominator (LCD) of 13 and 34?
Answer:
442
Step-by-step explanation:
Look at the image and determine a answer please.
Answer:
Dividing
Step-by-step explanation:
z = -72
please help me i’m being timed
Julie eats 11 hotdogs every 2 minutes in a hotdog-eating contest. How many hotdogs will she eat in 6 minutes?
Answer:
33
Step-by-step explanation:
divide 11 by 2 o get the one minute rato which is 5.5
times 5.5 by 6 to get final answer
What number is 15.26 more than the difference of 346.18 and 215.37?
Answer:
146.07
Step-by-step explanation:
Let's take this question one step at a time. First, we'll find the difference of 346.18 and 215.37. This is equivalent to 130.81. Then, we have to find the number that's 15.26 more than 130.81, and this is equivalent to 146.07. So, our final answer is 146.07.
If you have any further questions, let me know!
Solve for the missing angle measures.
Answer:
Q1 b = 105 c= 75 D=105
Step-by-step explanation:
A aNd C are the same and B and D are the same as they are opposite angles. So , 75 +75 = 150 . Then , 360 - 150 = 210 . 210÷ 2 = 105
Hence,
A= 75 B = 105 C=75 D = 105
After being discounted by 20%, a bicycle sells for $140. What was the bicycle's original cost?
Answer:
$700
Step-by-step explanation:
20%=140
divide both sides by 20
1%=7
times both sides by 100
100%= 700
$700
hope this helps
What is the equation of a line that passes through the point (8, -2) and is parallel to the line whose equation is 3x + 4y = 15?
Answer:
y = -3/4x + 4 or 3x + 4y = 16
Step-by-step explanation:
Step 1
Find the slope of the given line
we have
3x + 4y = 15
Isolate the variable y
Subtract 3x from both sides
3x + 4y -3x = 15-3x
Divide by 4 both sides
y = -3/4x + 15/4
the slope of the given line is
m = -3/4
Step 2
Find the equation of the line that passes through the point and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
y - y₁ = m(x-x₁)
we have
m= -3/4
(x1,y1) = (8,-2)
substitute in the equation
y + 2= -3/4(x-8)
y = -3/4x + 6 - 2
y = -3/4x + 4 or 3x + 4y = 16
therefore
the answer is
y = -3/4x + 4
or
3x + 4y = 16
Quadrilaterals A and B are similar. Find the values of the sides marked x and y : The diagram is not drawn to scale.
Answer:
Y=7.5cm
Step-by-step explanation:
Y=12.5cm-10cm=2.5cm
=5cm+2.5cm=7.5cm
1260=(n-2) x 180what is n?
Answer:
N = 9
Step-by-step explanation:
1. 1260 / 180 = 7
2. Because we removed 2 before, we're going to add 2 because we're doing it in reverse and we get 9, therefore the answer is 9
28 is 40% of what number
Answer:
70 i think i dont know for sure
Step-by-step explanation:
40 x 70
__________
100
= 28
! ! ! Angles ! ! !
(worth ten points)
~
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that the triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
~
A.) Javier needs to know the measure of angle P.
B.) Javier needs to know the measure of angle M.
C.) Javier needs to know the measure of angle S.
D.) Javier needs to know that segment MN is parallel to segment SR.
~
Answer:
its a
Step-by-step explanation:
:)
easy one - giving brainly if correct AND WORK IS SHOWN
Answer:
18
Step-by-step explanation:
$72 divided by 4 is 18, 18 x 4 is 72.
Answer:
4x5=20
72-20=42
42 Divded 4= 10.5
10.5 more
Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Sixty tickets at $90 each cost
Cost of 1 ticket = $ 90
Cost of 60 tickets = ?
Cost of 60 tickets = 90 × 60 = $ 5400.
Answer:
5,400
Step-by-step explanation:
well, if they're sixty tickets and each cost approx. $90, which means it's 60 x 90, and that gets to 5,400.
ASAP PLS!!
-GIVING OUT BRAINLIEST
Answer:
The answer is (C)
Step-by-step explanation:
write 47% as a fraction is simplest form.
Answer:
47/100
Step-by-step explanation:
47 = 0.47 = 47/100
You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed? Round to the nearest whole number.
According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
(Volume of box x 5/8) / volume of gumballs = Amount of gumballs Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius) Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X (343.1 x 5/8) / 0.523 = X 214.4375 / 0.523 = X 410 = XTherefore, 410 gumballs will be needed to fill the box.
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Match the reasons with the statements given.
Given:
Triangle ABR
Prove:
<1 = <2
(< means angle)
Pls help me
Answer:
Question about the triangle, what type of triangle is it?
Step-by-step explanation:
Algebra 1
i need help answering this
Answer:
hmm i'm not sure
Step-by-step explanation:
sorry
i will give you brainliest if you help
Power: An expression that has a ______________ and an __________________.
Answer:
base number and exponent
Step-by-step explanation:
The function y=-4x + 150 models the
amount of water in a fish tank over time.
y represents the amount of water left in
the tank in gallons. x represents the time
in minutes.
Part A: What does the slope of the
function's graph represent? What does
the y-intercept of the function's graph
represent?
Explain your reasoning.
Part B: After how many minutes will the
tank be empty? Explain your reasoning.
Answer:
Step-by-step explanation:
The equation y = -4x + 150 is telling us the gallons of water reaming (y) after x minutes. The -4 slope represents the rate water is leaving the tank. In this case, it is 4 gallons per mijnute. It is negative since it is leaving the tank. The y-intercept, 150, is the water volume at time 0 minutes, the start. If you only filled it with 75 gallons and then left, the equation would be y=-4x + 40. If you accidently left a valve open, the slope would have a greater negative value (e.g., -10). There is also an equation if your boss see the empty tank: Y = 4590x^9 + 15, where Y is yell ferocity and x is the hours worked that day. 15 is the initial attitude at the start of the day.
Help please!!!!!!!!!
A tennis racket with a price of $180 is subject to a sales tax of 7%. What is the total
price of the racket?
$192.60
$187
The total price of the racket is $192.60 (first option).
What is the total price?A tax is a compulsory amount of money that is levied by the government or an agency of the government on goods and services. A sales tax is levied on the sales of goods and services.
The total price of the racket would include the amount of tax that would be paid.
Total price = (1 + tax/100) x initial price
Total price = (1 + 7%/100) x $180
Total price = (1 + 0.07) x $180
Total price = (1,07 x $180)
Total price = $192.60
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3. The first row shows s(1) = 0.5. What does this mean in words?
Answer:
this means it shows half as a fraction turned into a decimal
Step-by-step explanation:
1/2=fraction form
0.5=decimal form
50%=percent form
half=word form
Help help help help help help help
I) Degree Yes No m b
6) 1 √ 1 10
7) 1 √ 5 -1
8) 2 √
II)
9) x = 1,y = 3, 3x
x = 2,y = 6, 3x
x = 3,y = 9, 3x
It's a linear equation because it has 1 degree of function.
f(x) = 3x + 0.
10) x = -2,y = 4,x²
x = -1,y = 1,x²
x = 0,y = 0,x²
It's not linear a linear equation because it has 2 degree of function.
A)
1. m = -2/3 , b = 4
y = mx + b
y = -2/3x + 4
Values;
x= 0,y = 4 (0, 4)
x=1,y=10/3 (1,10/3)
x=2, y= 8/3 (2, 8/3)
x=3, y=2 (3, 2)
x=4, y=4/3 (4, 4/3)
The graph is the 1st one above.
2. a = -2 , b = 3
y = mx + b
at y = 0, x = -2
0 = m(-2) + 3
-3 = -2m
m = 3/2
y = 3/2x + 3
Values;
x = -2, y=0, (-2, 0)
x = -1, y = 3/2, (-1, 3/2)
x = 0,y = 3, (0, 3)
x = 1,y = 9/2, (1, 9/2)
x = 2, y = 6, (2, 6)
The graph is the 2nd one above.
A number is 120 less than 965. Find the number.
Answer:
845
Step-by-step explanation:
I think that's what it's asking??
Answer:
845
Step-by-step explanation:
We are looking for a new number which is 120 less than 965.
We will get the new number by subtracting 120 from 965.
We write it down as:
965-120=845
And finally the solution for: What number is 120 less than 965?
is 845
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