A rectangular garden has a walkway around it. The area of the garden is 6(5.5x + 2.5). The
combined area of the garden and the walkway is 7.5(8x +4). Find the area of the walkway around
the garden as the sum of two terms.
Answer:The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
A rectangular garden has a walkway around it
1. The area of the garden is 4(4.5 x + 1.5)
2. The combined area of the garden and the walkway is 5.5(8 x + 4)
We need to find the area of the the walkway
To find the area of the walkway by subtracting the area of the
rectangle from the combined area
∵ The combined area = 5.5(8 x + 4) ⇒ simplify it
∴ The combined area = 5.5(8 x) + 5.5(4)
∴ The combined area = 44 x + 22
∵ The area of the garden = 4(4.5 x + 1.5) ⇒ simplify it
∴ The area of the garden = 4(4.5 x) + 4(1.5)
∴ The area of the garden = 18 x + 6
Now subtract the area of the garden from the combined area
∵ Area of the walkway = (44 x + 22) - (18 x + 6)
∴ Area of the walkway = 44x + 22 - 18 x - 6
- Add like terms
∴ Area of the walkway = (44 x - 18 x) + (22 - 6)
∴ Area of the walkway = 26 x + 16
The area of the walkway around is 26 x + 16 as the sum of two terms
Step-by-step explanation:
4(y+2)-y= 2(y-1) +9
What does y equal
☁️ y = -1 ☁️
Hope it helps.
Explanation: Have a nice day!~ ￣▽￣❤️
find the expected value of a random variable with the following probability distribution :
2
3
4
5
6
7
8
9
10
11
12
———
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
Answer:
7
Step-by-step explanation:
correct with acellus
The expected value of a random variable with the following probability distribution will be 7.
How to calculate the expectation of a discrete random variable?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given being f(x) = P(X = x), then we have:
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
[tex]\rm E(X)=2 \times \frac{1}{36} +3 \times \frac{1}{28} +4 \times \frac{1}{12} +5 \times \frac{1}{9} +6 \times \frac{5}{36} + 7 \times \frac{1}{6} +8 \times \frac{5}{36}+9 \times \frac{1}{9} +10 \times \frac{1}{12} +11 \times \frac{1}{18} +12 \times \frac{1}{36} \\\\ E(X)=7[/tex]
Hence the expected value of a random variable will be 7.
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PLEASE HELP ASAP, MARKING BRAINLIEST!!!
A walking path around the outside of the garden is shaped like a triangle. Two sides of the past that measure 32 ft and 39 feet form a 70 degree angle. If you walk around the entire path one time, how far have you walked?
What is the solution to the equation below? Round your answer to two
decimal places.
4 + 9•In x= 15.8
A. x = 3.56
B. x= 0.27
C. x = 3.71
D. x = 2.09
Answer:
C. x = 3.71
Step-by-step explanation:
4 + 9(ln x) = 15.8
Subtract 4 from both sides.
9(ln x) = 11.8
Divide both sides by 9.
ln x = 11.8/9
x = e^(11.8/9)
x = 3.71
4 + 9 • In x = 15.8
x= 3.71
Identify each number as prime or composite. Then list all its factors b) 6 is? Its factors are __ ___ ___ ___
Answer:
6 is composite
Step-by-step explanation:
Given
[tex]Number = 6[/tex]
Required
Prime or Composite
The number 6 is not prime. This is so because apart from 1 and 6, it can also be divided by 2, 3
Hence:
6 is composite
And the factors are:
1, 2, 3 and 6
please explain how to do this
Answer:
27.4
Step-by-step explanation:
Use your calculator for this.
Remember, use SOH CAH TOA
We have an opposite (O) and an adjacent side (A), so we use SINE
sin(41)=18/X......following?
Now, solve for X by multiplying both sides by X......sin(41)(X)=18
Then, divide both sides by sin(41).
Type into your calculator: 18/sin(41), and you'll get 27.44. Round to the nearest tenth, or 27.4!
Answer:
x = 11.8
Step-by-step explanation:
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ sine 41 = [tex]\frac{18}{x}[/tex]
⇒ 0.656 = [tex]\frac{18}{x}[/tex]
multiply 18 on both sides:
⇒ 0.656 x 18 = [tex]\frac{18}{x}[/tex] x 18
⇒ 11.808 = x
round to the nearest tenth:
⇒ 11.808 = 11.8
Help me please with this math question
If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)
Answer: 2144
Step-by-step explanation:
v = 4/3pir³
v = 4/3 (3.14) (8)³
v = 4/3 (3.14)(512)
v ≈ 2144
Answer:
2,143.57 cubit units.
Step-by-step explanation:
To find the volume of the sphere, use the formula given below.
Volume = 4/3π r³
Use this formula, the value given for the radius, and 3.14 for to find the volume.
Volume = 4/3π r³
~~ 4/3 (3.14) (8 units)³
~~ 2,143.57 cubic units
Therefore, the approximate volume of the sphere is 2,143.57 cubic units.
Need to know the answer, I would really appreciate any help. I’m not to good at the graph part of Slope.
Answer:
Top right
Step-by-step explanation:
The slope is 0.5
y - 3 = 0.5(x + 4)
y - y1 = m(x + x1)
Coordinate ( -4, 3)
Top right choice is the only graph where the line touches (-4, 3)
una fabrica necesita saber cual es el material favorito de las mujeres para su ropa. para tal fin realiza una encuesta entre algunas señoras. los resultados se representan en el digrama de barras
algodon: 5%
drill:20%
pana:15%
tela:30%
jean:45%
a. realiza la distribucion de frecuencias y el diagrama circular
b. identifica la moda e interpretala de acuerdo con la situcacion
Answer:
la moda es el jean ya que es lo que mas se repite, osea lo que prefieren
de los datos podemos deducir que se encuestaron a 115 mujeres de las cuales el 17% prefiere dril, el 4% prefiere algodon, el 13% prefiere pana, el 26% prefiere tela y por ultimo el 39% prefiere el jean
para un total de 100%Step-by-step explanation:
Solve the equation square root x+4-3=1 for the variable. Show each step of your solution
So can you just explain how to do it
Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.
Answer:
PQ = 35 km
Step-by-step explanation:
Here, we want to get the length of PQ
Let PQ = x
PR is 10 km longer than PQ
PR = 10 + x
QR = 2 * PR
QR = 2(10 + x)
Adding all gives 170;
x + 10 + x + 2(10 + x) = 170
2x + 10 + 20 + 2x = 170
4x + 30 = 170
4x = 170-30
4x = 140
x = 140/4
x = 35 km
PQ = 35 km
The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
What is the length of line segment?Length of line segment (say YX) is the distance of both the ends of it (y to x).
Towns P, Q and R are connected by roads PQ ,PR and QR.
The line segment PR is 10 km longer than PQ. Therefore,
[tex]PR=PQ+10\\PQ=PR-10[/tex] ......1
The line segment QR is twice as long as the line segment PR. Therefore,
[tex]QR=2PR[/tex] .....2
The total length of three roads is 170 km. Therefore,
[tex]PQ+PR+QR=170[/tex]
Put the value of PR and QR from equation 1 and 2 in the above equation as,
[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]
As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,
[tex]PR=45-10\\PR=35\rm km[/tex]
Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
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Which is the most expensive piece of meat? A. 8 ounces for $5.00 B. 16 ounces for $4.00 C. 6 ounces for $15.00 D. 12 ounces for $10.00
Answer:
C.
Step-by-step explanation:
A. 5/8=0.625
B. 4/16=0.25
C. 15/6=2.5
D. 10/12=0.83
9. What is the inverse of y = 10x -2?
Answer:
f(x)^-1=x-2/10
Step-by-step explanation:
ocupo determinar la posicion relativa de y con respecto a la circunferencia help
Answer:
Step-by-step explanation
forty-five hundredths as a decimal
Answer:
0.45
Step-by-step explanation:
easy
1.
(2-4)² x 2-5
Which of these is equivalent to
- ?
2-6
A.
2-19
B.
1
27
N/ - /
1
2
C.
D.
23
Answer:
add me
Step-by-step explanation:
can yall pls help wit this pls asap
i will mark you brainliest if u are correct first
Answer: 4955.30
Step-by-step explanation:
F = P (1+i)^n
F = $4000 (1+.055)^4
F = $4955.2986
Which will be 4955.30
Answer:
A. $4955.30
Step-by-step explanation:
Look at the equation
A(t)= P(1+r)^t
In this equation,
A(t) is your amount after a period of time,
P is the initial balance stated in the question (4000)
r is the rate (must be converted to a decimal) as stated in the question (0.055)
t represents the amount of time that has passed (4 years)
Whenever you plug this into the equation, you get
A(t) = 4000(1.055)^4 and this can be plugged into a calculator to get your answer which will be
4955.29 (round up to .3) and your final answer is A. 4995.30
In order to convert from percent to decimal you just need to move the decimal to the left two places
5.5 becomes 0.055 after the decimal is shifted
which logarithmic equation is equivalent to this exponential equation?
Answer:
A
Step-by-step explanation:
[tex]a^x = b \\log_a(b) = x[/tex]
Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?
Please helppp
A line that passes through the points whose coordinates are (1,1) and (5,7)
is dilated by scale factor of 3 and centered at the origin. The image of the line
a) is perpendicular to the original line
b) is parallel to the original line
c) passes through the origin
d) is the same line
Answer:
B
Step-by-step explanation:
The image that the line will produce would be:
b). is parallel to the original line.
Given that,
Coordinates = [tex](1,1) and (5,7)[/tex]
Scale factor [tex]= 3[/tex]
As we know,
Slope [tex]= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }[/tex]
where;
[tex]y_{2} = 7[/tex]
[tex]y_{1} = 1[/tex]
[tex]x_{2} = 5[/tex]
[tex]x_{1} = 1[/tex]
By putting these values,
Slope [tex]= (7 - 1)/(5-1)[/tex]
[tex]= 6/4[/tex]
[tex]=[/tex] [tex]1.5[/tex]
∵The image of the line would be ║ to the original line.
Thus, option b is the correct answer.
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can anyone help? im a lil lost
Answer:
So they just want you to solve the equation if x= -4
d(-4) = -(-4) + -4
y = 4 - 4
The solution would be 0.
help please i got the last part but not the others
HELPPPPPPPPPP I WILL GIVE BRAIN THING
Answer:
1, 8 and -3
Explanation:
x is bigger than or equal to -3. Any positive number is bigger than a negative number.
Hope that helps!!
Answer:
1, 8, -3
or
A, B, D
Step-by-step explanation:
We need to figure out which numbers are greater than or equal to -3
1 is greater than -3
8 is greater than -3
-4 is smaller than -3
-3 is equal to -3
Therefore, the applicable answers in this equation are 1, 8, -3
what is the answer? Please
Joanna plans to completely cover a large soup can, including the top and bottom, with black paper. The diameter of the can is 6 in. and the height is 5 in. Which is a reasonable estimate for the number of square inches of paper that Joanna will need to cover the can? Select one: O 151 square inches
O 141 square inches
O 101 square inches
O 1,319 square inches
Answer:
141 square incges
Step-by-step explanation:
Answer:
The answer is 141 sq inch.
Am smort :D
helppppppppppppppppppppp!!!!! ASAPPPPPPPPPPP
Answer:
Step-by-step explanation:
the was I understand matrix multiplication, I re-learned tonight so I could be wrong but.....
according to Gaggle matrix multiplication is possible when the number of columns in matrix 1 equals the number of rows in matrix 2
it is called the dot product (that sounds familiar)
first choice has 2 columns and 1 row can't multiple this one
second choice has 1 column and 2 rows can't multiple this one
third choice has 2 columns and 1 row can't multiple this one
fourth choice has 1 column and 1 row This one can be multiplied
What is the x-intercept for the equation: 3x + by = 18? *
Isaac is painting a 1.5-foot by 2-foot by 4-foot storage box with weather-resistant paint. Since the box is to be used on the patio, all of the exterior sides, including the
top and bottom, must be painted. What is the total surface area that Isaac will paint?
Answer:
34
Step-by-step explanation: