The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?
A. 16x^2-16
B. 20x^2+36x-16
C. 20x^2-4x-16
D. 9x^2-16
Please help, thank you
Note: As you may have unintentionally missed to add the diagram. After a little research, I was able to find the diagram. I have attached the diagram, based on which I am solving which anyways would clear your concepts.
Answer:
The area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].
Step-by-step explanation:
From the attached diagram, it is clear that
The length of the rectangle [tex]=5x + 4[/tex]The width of the rectangle [tex]= 4x - 4[/tex]The area of the storage facility in square feet can be calculated by finding the area of rectangle.
So, using the area of rectangle formula
[tex]A = lw[/tex]
[tex]=\:\left(5x+4\right)\left(4x-4\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]a=5x,\:b=4,\:c=4x,\:d=-4[/tex]
[tex]=5x\cdot \:4x+5x\left(-4\right)+4\cdot \:4x+4\left(-4\right)[/tex]
[tex]=5\cdot \:4xx-5\cdot \:4x+4\cdot \:4x-4\cdot \:4[/tex]
[tex]=20x^2-4x-16[/tex]
Therefore, the area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].
Keywords: rectangle, area
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To find the area of the storage facility, calculate the area of each shape and add them together. The correct expression is 36x^2+24x.
Explanation:To find the area of the storage facility, we need to find the area of each individual shape and add them together. Looking at the diagram, we can see that the storage facility is composed of two rectangles and one square. Let's calculate the area of each shape:
Area of first rectangle = length x width = 4x(4x+4) = 16x^2+16x
Area of second rectangle = length x width = 4x(4x+2) = 16x^2+8x
Area of square = side x side = (2x)^2 = 4x^2
To find the total area, we add the areas of the three shapes:
Total area = (16x^2+16x) + (16x^2+8x) + 4x^2 = 36x^2+24x
Therefore, the correct expression that represents the area of the storage facility is 36x^2+24x, which is option B.
Find P (Sophomore | Boy)
Answer:
[tex]$ \textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $ $[/tex]
Step-by-step explanation:
We are asked to find the probability of picking a Sophomore who is a boy.
There are 5 Sophomores who are boys out of total boys.
[tex]$ \textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}} $[/tex]
[tex]$ \implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)} $[/tex]
[tex]$ = \frac{5}{12} $[/tex]
Hence, the answer.
Answer:
The answer is 5 over 12
Step-by-step explanation:
5/12 Fill in 5 then 12
The difference of 2x and 5 is greater than -3 and less than or equal to 11
The solution to the inequality is 1 < x ≤ 8.
The given inequality can be split into two components:
The difference of 2x and 5 is greater than -3: This can be written as:
2x - 5 > -3
To solve for x, we first add 5 to both sides of the inequality:
2x > 2
Then, we divide both sides by 2:
x > 1
This indicates that the values of x which satisfy this part of the inequality are greater than 1.
The difference of 2x and 5 is less than or equal to 11: This can be written as:
2x - 5 ≤ 11
Adding 5 to both sides:
2x ≤ 16
Dividing both sides by 2:
x ≤ 8
Therefore, the common range that satisfies both parts is 1 < x ≤ 8.
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Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
12r²4
41
DONE
First, distinguish the mathematical elements in the expression 12r²4. Multiply the numbers 12 and 4 to give 48, then substitute this value back in to obtain the simplified expression, 48r². The property of multiplication allows this reordering and regrouping without affecting the result.
Explanation:To simplify the given expression, 12r²4, the first step involves distinguishing the mathematical elements present. In this case, we have multiplication of numbers and a variable. Technically, the expression is equivalent to 12*r^2*4, since there is multiplication between each element.
We proceed with multiplication, starting with the numerical value. In this case, multiply 12 and 4 to get 48. Substitute this resulting value into the expression, yielding 48r². The justification for this operation is the property of multiplication, which is associative and commutative. It allows us to change the order of the numbers being multiplied or group them differently without changing the result.
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2x+3y=12
3x−2y=−8
solve
Answer:
(6,4)
Step-by-step explanation:
Multiply 3 by the two equations and add it up but the x's.
Add the y variables and subtract the others
Divide 3y and 12 which gives you 4
Plug in 4y into any equation
Add 24 and leave the 6x which is your answer
A scale measures weight to the nearest 0.1 pounds. Which is the most
appropriate way to report weight using this scale?
O A. 152.2 pounds
O B. 152 pounds
O C. 200 pounds
O D. 152.127 pounds
Answer:A
Step-by-step explanation:
Hours Spent at Water Park A 2-column table with 4 rows titled Hours Spent at Water Park. Column 1 is labeled Hours with entries 4, 5, 6, 7. Column 2 is labeled Tally with entries 4, 5, 3, 4. Write a statistical question that might have been asked to gather the data. Then explain why it is statistical.
Answer:
The question is: How much time do people spend in the water park?It is a statistical because the answer comes from a sample instead of from the entire population.
Explanation:
Rewrite the table
Hours Spent at Water Park
Hours Tally
4 4
5 5
6 3
7 4
These data could be the results of a survey whose target was to detemine how many hours people spent at a water park.
The size of the sample should be the number of tally, which is 4 + 5 + 3 + 4 = 16.
And the question most likely was made at the exit of a water park, when the people were leaving the park.
Thus, the statistical question could be How much time do people spend in the water park?
It is a statistical because the survey is made to a sample of the people who went to the water park instead to all the people. All the people who go to the water park is the population about whom you want to determine how much time they spend in the water park, but,since it is impossible to survey all the people, you need to survey a sample.
The resulting values from a sample are named statistical. The values for an entire population are named parameters. A statistical permits to draw conclusions for populations using just one or more samples, which should be random samples.
Answer:
sample responce
Step-by-step explanation:
“How many hours did you spend at the water park today?” It is statistical because the responses will vary among individuals and the responses will be numeric.
simplify the following expression(-5)(-3)(4)
Answer:
[tex]\displaystyle 60[/tex]
Step-by-step explanation:
All you do is multiply the terms straight across to get the above answer.
I am joyous to assist you anytime.
PLEASE HELP FAST!
Multiply
y(y−3)
A: 2y2−3y
B: y2−3y
C: 2y2−3
D: y2−3
Answer:
B
Step-by-step explanation:
y × y = [tex]y^{2}[/tex]
y × -3 = -3y
[tex]y^{2} -3y[/tex]
Answer:
B. y^2 - 3y
Step-by-step explanation:
y (y - 3)
yxy - yx3
y^2 - 3y
what is the sum of 2/10 + 6/100
Answer:
26/100 which is simplified to 13/50
Step-by-step explanation:
you have to get equal denominators so multiply 2/10 by 10 on top and bottom to get 20/100 then you can add 6/100 plus 20/100 which is 26/100 . denominators stay the same 26/100 can be simplified to 13/50
The sum of 2/10 and 6/100 is 13/50.
To find the sum of 2/10 and 6/100, we'll first find a common denominator and then add the fractions together.
The common denominator for 10 and 100 is 100, as it is the smallest multiple that both denominators can evenly divide into.
Now, we'll rewrite both fractions with the common denominator of 100:
2/10 = (2/10) * (10/10) = 20/100
6/100 = 6/100
Now that both fractions have the same denominator, we can add them together:
20/100 + 6/100 = (20 + 6)/100 = 26/100
Now, we have the sum of the fractions as 26/100. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
(26 ÷ 2) / (100 ÷ 2) = 13/50
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4/3=-6e-5/3 solve for e
Yo sup??
4/3=-6e-5/3
4/3+5/3=-6e
9/3=-6e
e=-9/18
=-1/2
Hope this helps.
Answer:
yep this is -1/2
Step-by-step explanation:
Mercedes had 6 2/3 cups of flour. She used 3 1/4 cups 0f flour to bake a cake. How much flour does merceded have left?
Answer:
3 5/12 cups
Step-by-step explanation:
6 2/3 - 3 l/4= 80/3 - 39/4=41/12=3 5/12
simplify the expression -2+6.45z-6+(-3.25z)
Answer:
-8 + 3.2z
Step-by-step explanation:
when there is a "+" in front of an expression in parentheses, the expression remains the same-2 + 6.45z - 6 - 3.25zcalculate the difference-8 + 6.45z - 3.25z
collect like terms
-8 + 3.2z
Therefore,the expression −2+6.45z−6+(−3.25z) reduces to −8+3.2z
To simplify the expression −2+6.45z−6+(−3.25z) , combine like terms by performing addition and subtraction:
Given expression:−2+6.45z−6+(−3.25z)
Group the like terms together:
(−2−6)+(6.45z−3.25z)
Combine the constants:
−8+(6.45z−3.25z)
Combine the z terms:
−8+3.2z
Therefore, after simplification, the expression −2+6.45z−6+(−3.25z) reduces to −8+3.2z
I need help on this please some one can help me solve this p4
Answer:
d = 10
Step-by-step explanation:
3/4(6 + d) = 12
(18 + 3d)/4 = 12
18 + 3d = 48
3d = 48 - 18
3d = 30
d = 30 : 3
d = 10
multiple both sides by 4/3
move the constant to the right
subtract the numbers
Please help now !! I’ll give u brainliest ..
Answer:
x = 0 AND x = -1
Step-by-step explanation:
You find the solution by finding where the two graphs meet. Then you can pull the x-coordinate off the points of intersection which is at 0 and -1
A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes E, F, total. The second column is labeled G with entries y, 31%, 58%. The third column is labeled H with entries 24%, 18%, 42%. The fourth column is labeled total with entries 51%, 49%, 100%. What is the value of y in the relative frequency table? Round the answer to the nearest percent. 12% 27% 46% 52%
Answer:
The value of y is 27%.Step-by-step explanation:
The value of can be get in two way.
For the column G, the total value is given by 58%.
In the row of F and column of G, the value is 31%.
Hence, the value of y is (58 - 31) = 27%.
Again, In the row of E, the total value is given by 51%.
The E-th row and H-th column shows the value 24%.
Hence, the value of y is (51 - 24) = 27%.
Answer:
b on edge 2021
Step-by-step explanation:
Marilyn and Vanessa earn service points for every hour they volunteer at the local library. Marilyn
has earned 330 points, which is 165% of the number of points that Vanessa has earned. How
many points has Vanessa earned?
Answer:
200 points Vanessa
Step-by-step explanation:
M = 165%V
330 = 165V/100
33000 = 165V
V = 33000 : 165
V = 200 points Vanessa
Answer:
200 Vanessa
Step-by-step explanation:
Got it correct on TIME4LEARNING
Understand the different types of life insurances.
term life
whole life
Answer this for 50 Points now K Ye
Ratio is white socks / brown socks
There are 8 white and 7 brown
Ratio = 8/7
Answer:
Step-by-step explanation:
21 divided by(3+4) x 9 - 2 Squared
Answer:625
Step-by-step explanation:21/(3+4)x9-2=25 and 25^2 (squared) is 625
kevin enterd a pie eating contest. He ate 4 pies in 132 seconds. How many seconds did each pie take?
Answer:
33 seconds
Step-by-step explanation:
4 pies : 132 seconds
132/4=33
1 pie : 33 seconds
Identical twins happen once
in 250 births. How many pairs
of these twins might be at a
school with 2,750 students?
Answer:
11
Step-by-step explanation:
if there are twins born every 250 births take your large number (2,750) and divide it by 250 to get your answer
There are 11 pairs of twins at a school with 2750 students.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given identical twins happen once in 250 births,
total number of students in school = 2,750
to find the pair of twins divide the total number of students by 250
= 2750/250 = 11
Hence there are 11 pairs of twins in 2,750 students.
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what is (-5)² simplified?
Yo sup??
(-5)²=(-5)(-5)
=5*5*(-1)*(-1)
=25*1
=25
Hope this helps.
The required simplified value of the given number (-5)² would be 25.
What is Perfect Square?A perfect Square is defined as an integer multiplied by itself to generate a perfect square, which is a positive integer. Perfect squares are just numbers that are the products of integers multiplied by themselves.
When an expression can be seen as the difference of two perfect squares, i.e. a² -b², we can factor it as (a+b) (a-b).
The number is given in the question,
(-5)²
We have to determine the simplified value of the given number (-5)².
⇒ (-5)²
⇒ (-5)(-5)
⇒ 5 × 5 × (-1) × (-1)
⇒ 25 × 1
⇒ 25
Thus, the required simplified value of the given number (-5)² would be 25.
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Find the ratio of the trig function indicated and theta
Answer:
cos x = 16 ÷ 20
cross multiply
20 cosx = 16
Divide each side by 20
cos x =16 ÷ 20
x = cos inverse of 16 ÷ 20
x = 36.869
x = 37°
Step-by-step explanation:
x represents unknown angle
write this as a decimal 34%
Answer:
0.34
Step-by-step explanation:
34%= 34/100
34/100= 0.34
Answer: .34
Step-by-step explanation: 34% is equal to 34/100, If you turn that into a decimal its 0.34.
6 1/8+ 4 2/5=?
Solve and show how you got the answer.
Answer:
6 5/40 + 4 16/40
10. 21/40
Change the denominator into the LCD and change the numerator.
keep the denominator the same and add the numerator
add the whole numbers
evaluate 0.3y+ y/z when y= 10 and z=5
Answer: answer is 5
Step-by-step explanation:see attachment
Brainliest for whoever explains
Answer:
A rectangle.
Step-by-step explanation:
The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section parallel to the base would be a rectangle as the base is a rectangle as well.
I hope this helps and if you can please mark brainliest.
The shape would be a rectangle.
When it says "base", it means the bottom/lowest shape.
The base is a rectangle therefore, the cross section parallel to the base would also be a rectangle.
A taxi driver charged someone an initial fee of 6 dollars plus 3 dollars per mile the total fare was 24 dollars how many miles did the person travel
Answer:
x=6
Step-by-step explanation:
Equation: 3x+6=24
3x=18
x=6
6 miles.
Answer:
6 miles
Step-by-step explanation:
6 + 3x = 24
3x = 18
x = 6
Omar buys candy that costs $8 per pound. He will spend at least $40 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Omar will buy.
Write your answer as an inequality solved for p.
HELP ASAP
Omar will buy at least 5 pounds of candy. To find this, divide his minimum spending ($40) by the cost per pound of candy ($8). The inequality solved for p is p \geq 5, meaning Omar can buy 5 or more pounds of candy.
Explanation:To find out the possible number of pounds of candy Omar will buy, we can set up an inequality using the given information. We know the cost per pound of candy is $8, and Omar is going to spend at least $40 on candy. Therefore, the inequality representing the situation can be written as:
8 imes p \\(cost per pound \\ times number of pounds)\\ \geq 40 (Omar's minimum spending)
To solve for p, the number of pounds, we divide both sides of the inequality by 8:
p \geq \frac{40}{8} \Rightarrow p \geq 5
So, Omar will buy at least 5 pounds of candy. This means that the possible numbers of pounds he may buy are 5 or more.