To find the dimensions of the actual floor of the new building, multiply the dimensions of the model by the scale factor. The volume of the new building is found by multiplying the dimensions of the actual floor by the height. The surface area is calculated by summing the areas of all six faces of the rectangular prism.
Explanation:To find the dimensions of the actual floor, we need to multiply the dimensions of the model by the scale factor. Let's assume the dimensions of the model floor are length = 10 meters and width = 5 meters. Since the architect plans for the building to be 144 times the dimensions of the model, the length of the actual floor would be 10 x 144 = 1440 meters and the width would be 5 x 144 = 720 meters.
The volume of a rectangular prism (the building) can be calculated by multiplying its length, width, and height. Assuming the height is 3 meters, the volume of the new building would be 1440 x 720 x 3 = 2,073,600 cubic meters.
The surface area of the new building can be calculated by summing the areas of all six faces of the rectangular prism. The formula for surface area is 2*(length x width + width x height + height x length). Using the dimensions from before, the surface area would be 2*(1440 x 720 + 720 x 3 + 3 x 1440) = 2,394,240 square meters.
Nathan bought a pair of boots
for $80 and 2 shirts for $20
each. The sales tax is 7.5%.
How much did Nathan pay for
all the items, including tax?
Justify your reasoning.
NEED HELP FOR HOMEWORK WILL MARK BRAINLEST:)
Answer:
$129
Step-by-step explanation:
80 + 2(20) = 80 + 40 = 120
With tax: 100 + 7.5 = 107.5%
107.5/100 × 120
129
Answer:
129
Step-by-step explanation:
First find the cost for how much was purchased
boots: 80
2 shirts: 2*20 = 40
80+40 = 120
The tax is the cost times the tax rate
tax = 120 * 7.5%
= 120 * .075
9
The total cost is the cot plus the tax
total cost = 120+9
=129
What is 87+x=100?
A. 13
B.41
C. 11
D. 20
Hey there!
When we solve for x, we need to isolate x on one side.
This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.
Starting with 87 + x = 100:
Subtract 87 from each side.
87 - 87 + x = 100 - 87
Simplify. Subtracting 87 from 87 makes it equal to 0.
x = 13
Your answer is A. 13.
Hope this helps!
Hello!
The answer to the problem is A) 13
Move all terms containing x to the left, all other terms to the right.
Add '-87' to each side of the equation
[tex]87 + -87 + x = 100 + -87[/tex]
Combine like terms: 87 + -87 = 0
[tex]0 + x = 100 + -87[/tex]
[tex]x = 100 + -87[/tex]
Get your answer
[tex]x=13[/tex]
Hope This Helps!
y = 3x
5x + 2y = 44
Answer:
x=4
Step-by-step explanation:
since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.
Answer:
x=4
Step-by-step explanation:
substitute the value of y
5x+2(3x)=44
5x+6x=44
11x=44
divide both sides by 11
x=4
Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.
Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are congruent.
Which arcs are congruent? Check all that apply.
Arc B C ≅ Arc M P
Arc B C ≅ Arc M O
Arc C F ≅ Arc K P
Arc E G ≅ Arc K L
Arc L O ≅ Arc M P
Answer:
its 1,4,5 i just did the test
Step-by-step explanation: //
Answer:
1,4,5
Step-by-step explanation:
Please help! Easy question!
Answer:
the last option is the correct option
Step-by-step explanation:
Answer: Fourth option
Step-by-step explanation:Why is because the question says they made at most meaning its max is $8,000 and its able to be equal to or less than so its closed dot.
What is the perimeter of the rectangle?
22 centimeters
24 centimeters
26 centimeters
28 centimeters
Answer:
The answer is 24 centimeters or option(B)
Step-by-step explanation:
Answer:
The correct answer is B. 24 cm.
Step-by-step explanation:
hope this helps, and have a nice day! :)
pls help! will give brainlist!
find the volume of the figure above in cubic centimeters.
A. 23 cm³
B. 144 cm³
C. 288 cm³
D. 44 cm³
Answer:
144cm^3
Step-by-step explanation:
[tex]V=1/2bh\\V=1/2(8*3)(12)\\V=1/2(24)(12)\\V=12(12)\\V=144[/tex]
what is the slope of the line y=3
Answer:
0
Step-by-step explanation:
The line y=3 has a zero slope (lays horizontal).
Answer:
Step-by-step explanation:
y=3 is parallel to x axis.
x axis and any line parallel to x axis has slope=0
What are the advantages of using percentages to represent ratio
The advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
We need to write the advantages of using percentages to represent the ratio.
What is the percentage?The percentage is a fraction or a ratio in which the value of the whole is always 100.
The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Ratio: The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to ratios, they can be converted to decimals very quickly, and percentages can be used to show the change in a number (20% of 50: 50% of 10), telling you what the original number is (10:5 or 2:1 doesn’t give you the starting numbers).
Therefore, the advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.
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On the first four exams, Steve's grades are 70, 76, 88, and 92. There is still one more exam and he is hoping to earn a B in the course. This will occur if the average of his first five exam grades is greater than or equal to 80 and less than 90. What range of grades on the fifth exam will result in earning a B?
The range of grades on the fifth exam that results in earning a B is ___? If the highest grade is 100, then
_____.
The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.
Explanation:To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.
Let's first add up the scores from Steve's first four exams:
70 + 76 + 88 + 92 = 326To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:
400 - 326 = 74Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:
450 - 326 = 124However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.
Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.
Is the graphed function linear?
Step-by-step explanation: Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function. The domain of this function is the set of all real numbers. The range of f is the set of all real numbers. The graph of f is a line with slope m and y intercept b.
b+ 1/3(-b+a)
How to simplify?
Answer:
2/3 b +1/3 a
Step-by-step explanation:
b+ 1/3(-b+a)
= b - 1/3b + 1/3a
= 2/3 b +1/3 a
I hope this was helpful, please mark as brainliest
Match the following pair of angles with their respective definitions.HELP
Answer:
Step-by-step explanation:
3 and 7 - corresponding
2 and 7 - alt exterior
4 and 5 - alt interior
3 and 6 - alt interior
Answer:
3 and 7 are Corresponding Angles
2 and 7 are Alternate Exterior Angles
4 and 5 are Alternate Interior Angles
3 and 6 are Alternate Interior Angles
Step-by-step explanation
3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.
Each statement describes a transformation of the graph of y-in x. Which statement correctly describes the graph of y-In(x - 7) + 3?
A.
It is the graph of y-In x translated 3 units up and 7 units to the left.
B.
It is the graph of y=in x translated 7 units down and 3 units to the right.
C.
It is the graph of y=In x translated 7 units up and 3 units to the right.
D.
It is the graph of y= In x translated 3 units up and 7 units to the right.
Answer:
It is the graph of F translated 3 units up and 7 units to the right
Step-by-step explanation:
this is for PLATO users
Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?
Answer:
No solution
Step-by-step explanation:
Answer:
36x+24=12(3x+2)
36x+24=12*3x+12*2
36x+24=36x+24
36x-36x=24-24
0=0
Have many solutions is the answer
Step-by-step explanation:
In every way I choose the value of x this equation is true
Please answer both questions
1. A floor plan of a house was drawn using a scale of 1 cm = 1.5 m. The family room in the plan is pictured as 5 cm by 4 cm. What is the area, in square meters, of the actual family room. (please see picture below)
A: 20
B: 27
C: 30
D: 45
2. Liz chose C as the correct answer. How did she get that answer?
Answer in complete sentences.
Answer:
D. 45
Step-by-step explanation:
1. The solution to the question above is answered in the attached picture.
2. Liz is wrong for choosing option C as answer. Liz actually performed this operation to get 30: 1.5 × 5 × 4 = 30.
Train A can travel a distance of 600 miles in 8 hours. Assuming the train travels at a constant rate, write the linear equation that represents the situation
Answer:
y = 75x
Step-by-step explanation:
If the train travels 600 miles in 8 hours, 600/8 gives us the hourly rate. 600/8 = 75 mph
Therefore, y = 75x
Answer: y = 75x
Answer:
Step-by-step explanation
(distance) = (rate) times ( time)
d=r times t
d= distance in miles
r= rate in mi/hr.
t=time in hours
r = 600/8
r = 75t
Sally has 56 apples and she wants to share for her 14 friends. How? Explain
Answer:
4 apples per friend
Step-by-step explanation:
Step 1: Find how much she can share for each friend
56 / 14
4 apples per friend
Answer: 4 apples per friend
To find how many apples each friend gets, we can divide.
56 / 14 = 4 apples per friend.
Best of Luck!
Anyone knows how to find x for number #7 & #8 ?
Answer:
7) 80 degrees
8) x = 73 and the angle(KEF) = 147
Step-by-step explanation:
360 - 160 = 200
200 - 53 = 147
2x+1=147
x = 73
A serial killer is stalking the residents of Gloomy Falls, Mass. Where the population is 937. Every year the population decreases by 4.5%. How many residents will be left after the killer's three-year rampage? How would you stop him?
The population of Gloomy Falls will decrease to approximately 816 residents after three years, due to a yearly decline of 4.5%.
Explanation:The problem posed involves calculating the decreasing population of a town under a hypothetical scenario. Given that Gloomy Falls has a starting population of 937, and it decreases by 4.5% annually, we need to apply this percentage decrease over a three-year period. The formula to calculate the population after each year is: Population after n years = Initial population × (1 - rate of decrease)n, where n is the number of years.
So we calculate the population as follows:
Year 1: 937 × (1 - 0.045) = 937 × 0.955 = 894.865Year 2: 894.865 × 0.955 = 854.695Year 3: 854.695 × 0.955 = 816.233After rounding, we can estimate that approximately 816 residents will be left after three years. This is purely a mathematical exercise and the scenario of a serial killer is just for illustrative purposes.
heehee please help meehee
Option B
[tex]3 x\sqrt{2} x[/tex] is the choice equivalent to [tex]\sqrt{6} x^{2} \cdot \sqrt{3} x[/tex]
Solution:
Step 1:
When we multiply two roots i.e. [tex]\sqrt{6} x^{2}[/tex] and [tex]\sqrt{3} x[/tex] the values are multiplied and still kept inside the root.
So [tex]\sqrt{6} x^{2}[/tex] × [tex]\sqrt{3} x[/tex] = [tex]\sqrt{6} x^{2} \times 3 x[/tex].
Step 2:
We then multiply the values in the root.
[tex]\sqrt{6} x^{2} \times 3 x[/tex] = [tex]\sqrt{18 x^{3}}[/tex]
Step 3;
We take the values out of the root by splitting up the value.
[tex]{18 x^{3}}[/tex] = [tex](9 \times 2)\left(x^{2} \times x\right)[/tex]
[tex]\sqrt{9}=3[/tex] and [tex]\sqrt{x^{2}}=x[/tex]
So [tex]\sqrt{18 x^{3}}[/tex] = [tex]\sqrt{9} \times 2 \times x^{2} \times x[/tex]
When we take values out of the root, we replace it with the square-rooted value on the outside.
[tex]\sqrt{18 x^{3}}[/tex] = [tex]3 x \sqrt{2 x}[/tex].
Thus option B is correct
The equation A=0.05bh gives the area of a triangle, where b is the length of the base and h is the height. Solve this equation for h.
Answer:
You would divide both sides by 0.05b, so that you would get h = A/0.05b
Step-by-step explanation:
SInce you are trying to isolate the variable, and the variable is being multiplied by 0.05b, you would simply do the opposite, or divide, in order to get h by itself.
Answer:
A=0.05bh we divide both sides by "h"
A/h = .05b then we multiply both sides by 20
(20 A) / h = b
Step-by-step explanation:
Help!!! What translation is made from f(x) = x to f(x)= 0.2 (x+3)
A: clockwise rotation and translation 3 units to the left
B: clockwise rotation and translation 3 units to the right
C: counter-clockwise rotation and translation: 3 units to the right.
D:counter-clockwise rotation and translation 3 units up.
Answer: A
Step-by-step explanation: when you add +3 you move 3 units left on the x axis and when its -3 it would be right.. hope it helps please give brainliest! but the best answer is A the others are not right
Clockwise rotation and translation 3 units to the left.
What is Translation?Translation is a rigid transformation that the function shift to upwards or downwards.Given that the function f(x) = x translates to f(x) = 0.2 (x+3)
When we add 3 units to x, then the graph x shift left by 3 units.
By dilation, the graph will rotate clockwise.
Hence, the function f(x) = x translates to f(x) = x, clockwise rotation and translation 3 units to the left.
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What are possible values of x and y, if
[tex]2 \sqrt[3]{3xy} = - 4 \sqrt[3]{18} [/tex]
Answer:
y = -48/x . . . . . infinite possibilitiesfor integer solutions, see belowStep-by-step explanation:
The equation can be put into more conventional form:
[tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]
This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.
__
Possible integer values are ...
(x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}
In a survey, 250 shoppers were asked whether they have access to a computer at home and if they have a personal e-mail account. Their responses are summarized in the following table.
E-Mail account/ No e-mail account
Computer access at home--------- 73------------------32
No computer access at home----22------------------123
(a) What percentage of the shoppers do not have computer access at home?
(b) What percentage of the shoppers do not have an e-mail account?
Answer:
a) 42%
b) 62%
Step-by-step explanation:
a) (73+32)/250 × 100 = 42
b) (32+123)/250 × 100 = 62
58% of shoppers do not have access to a computer at home, and 62% of shoppers do not have an e-mail account.
Explanation:Let's first calculate the total number of shoppers. From the survey, 250 people were interviewed. We want to find (a) The percentage of shoppers who do not have computer access at home and (b) the percentage of shoppers who do not have an e-mail account.
(a) According to the table, the number of shoppers who do not have computer access at home is 22 + 123 = 145. The percentage can be calculated as 145/250 * 100 = 58%. Therefore, 58% of shoppers do not have computer access at home.
(b) The number of shoppers who do not have an e-mail account equals 32 + 123 = 155. The percentage is calculated in the same way, 155/250 * 100 = 62%. Therefore, the percentage of shoppers who do not have an e-mail account is 62%.
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A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.
To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:
[tex]P_{t} = P_0 (1 + r)^t[/tex]
Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).
Plugging in the values into the formula:
P(14) = 14,000 × (1 + 0.05)¹⁴
P(14) = 14,000 (1.05)¹⁴
P(14) = 14,000 1.9791
P(14) = 27,706.24
To the nearest whole number, the population after 14 years will be 27,706.
2 Points
Identify an equation in slope-intercept form for the line parallel to y=-3x + 7
that passes through (2,-4).
Answer:
y = -3x + 2
Step-by-step explanation:
Parallel means same slope which is -3
Step 1: Use point slope form
(y - y1) = m(x - x1)
(y - (-4)) = -3(x - 2)
y + 4 - 4 = -3x + 6 - 4
y = -3x + 2
Answer: y = -3x + 2
https://lh5.googleusercontent.com/BTB8IVPp1M9ftWYrmUv4V29JTOIu-fUaQRDbERGKuRvHwen-iiK29m3v1rhGvp6kX40Rv0TBORmiPdtdKLoAv9vuG5Hp5Zyxagl7seoinGhvF_GybYwC6CUpHVb5=w621
Answer:
it won't let me see the link
Answer:
Option H, 1.428 * 10^-3
Step-by-step explanation:
Step 1: Convert 0.001429 into scientific notation
To have the number in scientific, you need to have to have a number then the decimal point then the rest of the numbers.
0.001429
1.429
Next, you need to find out what you multiply 1.429 to get 0.001429
1.429 * 0.001
1.428 * 10^-3
Answer: Option H, 1.428 * 10^-3
what is the answer to 2 3/4 ÷ 1 5/8
16,48, 144, ...
Find the 6th term.
Answer:
3,888
Step-by-step explanation:
3•16=48
48•3=144
144•3=432
432•3=1,296
1,296•33,888
Answer:
3, 888
Step-by-step explanation:
Just multiply by 3 to get the next number
or
Nth term = 16 × (3^N-1)