The scale of the drawing is 900 centimeters.
It is required to find the solution.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The parking lot = 54 meters wide
For drawing= 6 centimeters
According to given question we have,
First convert meters into centimeters we have,
54 meters= 5400 centimeters
The scale of the drawing
=5400/6
=900 centimeters.
Therefore, the scale of the drawing is 900 centimeters.
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A farmer wanted to estimate how many moles were living on his property, so he marked 24 of them with tags. A few weeks later, the farmer drove around his property and noticed 18 tagged moles out of the 330 moles he counted. To the nearest whole number, what is the best estimate for the mole population?
Answer:
The answer is 70 moles
Step-by-step explanation:
For the farmer,
Total no of Moles = 330
No of marked moles with tags = 24
No of unmarked moles = 330 - 24 = 306
Few weeks later,
No of tagged moles found = 18
No of tagged moles not found,
= marked moles with tags - tagged moles found
= 24 - 18 = 6
Therefore, if for every 24 tagged moles, there are 6 moles found,
288 tagged moles = 24 X 12 (lots) = 288
For moles found = 6 X 12 (lots) = 72
To the nearest whole number,
The best estimate for the mole population would be 70 moles
the set of all real numbers less than 50 or greater than 50
helppp
The set notation of the numbers is {x | x < 50 ∪ x > 50}
How to determine the set notation of the numbers?The set is given as
The set of all real numbers less than 50 or greater than 50
Let the number be represented by x
So, we have
x less than 50 or x greater than 50
When represented as an inequality, we have
x < 50 or x > 50
Using set notation, we have
{x | x < 50 ∪ x > 50}
Hence, the set notation of the numbers is {x | x < 50 ∪ x > 50}
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Please help me out with this problem
Answer:
Second choice, 2/5
Step-by-step explanation:
12 + 9 + 10 + 11 + 8 = 50
12 red and 8 blue, the probability of getting either is 12 + 8 = 20/50 which simplified is 2/5
Please help meeee! I will mark brainliest if right
Answer:
x=
[tex] \frac{3}{4} [/tex]
Answer:
Fraction: x= 3/4 Decimal: x= 0.75
holaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
HIIIIIIIIIIII
Step-by-step explanation:
Which expression is equivalent to (8x^3) 2/3? select all that apply.
A. 4x^2
B. 4x^3
C. √8x^9
D. √(8x^3)^3
Answer:
A
Step-by-step explanation:
Here, we simply want to select the indices that is equivalent to the given expression
(8x^3)^2/3
That is same as;
8^2/3 * x ^3 * 2/3
That will be;
2^2 * x^2
= 4x^2
What is the slope of a line parallel to the line whose equation is 3x−2y=18. Fully reduce your answer.
Answer:
3/2x
Step-by-step explanation:
-2y = -3x+18
y = 3/2x-9
Answer:
Slope: [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3x - 2y = 18
-2y = -3x + 18
y = [tex]\frac{3}{2}[/tex]x - 9
Slope = [tex]\frac{3}{2}[/tex]
please help due in an hour!!!
Answer:
The answer is C
Step-by-step explanation:
To compare and order fractions,the fraction can be written with a
The savings account offering which of these APRs and compounding periods
offers the best APY?
A. 4.0784% compounded monthly
B. 4.0792% compounded quarterly
C. 4.0730% compounded daily
D. 4.0798% compounded semiannually
Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly [tex]4.0784\%[/tex]
[tex]n = 12[/tex]
[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]
In choice b:
When compounded is quarterly[tex]4.0792\%[/tex]
[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]
In choice c:
Whenn compounded is daily [tex]4.0730 \%[/tex]
[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]
In choice d:
When compounded is semiannually[tex]4.0798\%[/tex]
[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]
Chloe is deciding between two landscaping companies for her place of business. Company A charges $70 per hour and a $150 equipment fee. Company B charges $55 per hour and a $300 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
The equations are AA = 150 + 70t and BB = 300 + 55t.
It is 10 hours which make the cost of each company the same.
Given,
Company A:
Charge for an hour =$ 70
Equipment fee = $ 150
Charge for ' t ' hours = 70 x t = 70t
Total cost = Equipment fee + charge for t hours
AA = 150 + 70t
Company B:
Charge for an hour =$ 55
Equipment fee = $ 300
Charge for 't' hours = 55 x t = 55t
Total cost = Equipment fee + charge for t hours
BB = 300 + 55t
Now, we have to find
BB = AA
300 + 55t = 150 + 70t
300 – 150 = 70t – 55t
150 = 15t
t = 150 / 15
t = 10
That is,
The equations are AA = 150 + 70t and BB = 300 + 55t.
It is 10 hours which make the cost of each company the same.
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The executive chef is in charge of the food quality and does not need to worry about sanitation issues such as pest control.
False
True
Answer:
False
Step-by-step explanation:
HELPPP PLSSS lol help
Answer:
1)48
2)25
3)21
Step-by-step explanation:
Answer:
8:48
5:25
21:35
Step-by-step explanation:
for any ratio, it stays the same if you multiply left and right with the same number.
So let's take the last one:
3 : 5 should be equivalent to ? : 35
How did 5 get to be 35? It was multiplied by 7.
So we do that on the left side as well.
3×7 = 21.
Conclusion: 21:35 is equivalent to 3:5
What is the slope of a line that is perpendicular to a line whose equation is −6y=2x+7?
30 points and brainliest!
Answer:
The perpendicular slope is 3.
Explanation:
[tex]\sf slope\:intercept\:form :y = mx + b[/tex]
where:
m = slopeb = y-interceptGiven equation:
[tex]-6y=2x+7[/tex]divide both sides by -6
[tex]\dfrac{-6y}{-6} =\dfrac{2x+7}{-6}[/tex]simplify
[tex]y=\dfrac{2x}{-6} +\dfrac{7}{-6}[/tex]when simplified more:
[tex]y=-\dfrac{1}{3}x -\dfrac{7}{6}[/tex]Here the slope is -1/3
- - - - - - - - - - - - - - - - - - - - - - - -
[tex]\sf m_1 \times m_2 = -1[/tex]
where:
m1 = parallel slopem2 = perpendicular slopeFind perpendicular slope:
[tex]\sf -\dfrac{1}{3} \times m_2 = -1[/tex]
[tex]\sf m_2 = 3[/tex]
PLEASE ANSWER CORRECTLY!!! I REALLY NEED AN ANSWER! WILL MARK BRAINLIEST!!!!
Misha solves the following system of equations using the substitution method.
y=5−2x
3x−y=15
What is the single-variable equation she solves after substituting?
A. 3(5+x)=5−2x
B. 15+3x=5−2x
C. 3x−(5−2x)=15
D. 3x−5−2x=15
Answer:
C
Step-by-step explanation:
The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be 3x−(5−2x)=15 thus option (C) will be correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y = 5 − 2x
3x − y = 15
Substitute y = 5 - 2x into 3x − y = 15
3x - (5 - 2x) = 15
Hence "The single equation of the system of equation y=5−2x and 3x−y=15 by substitution will be 3x−(5−2x)=15".
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Isosceles trapezoid ABCD is shown below with a line EF drawn through its center. If the isosceles trapezoid is dilated using a scale factor of one half and a line is drawn through the center of the new dilated figure, what relationship will that line have with line EF in the drawing below? (10 points)
Answer:
the answer for e is -2 and f is 2
Step-by-step explanation:
because if ever look at it E and F are straight from each other so one would be a negetive nunber and the other would be a positive number.
Choose the best answer for the missing number.
Answer:
1/100
Step-by-step explanation:
This is just digits...
57.237 = 50+7+0.2+3*___+0.007
well if you take a closer look
57.237 = 57.207 + 3*___
0.03 = 3*___
So you must have 0.01 for that spot, or if we follow the format of the question, you rewrite it as 1/100
Answer:
0.01 or 1/100
Please help meee……………..
Answer:
Step-by-step explanation:
redraw the diagrams separately now you have a rectangle and a trianglebc=12 inchesAttached is the whole processHOPE THIS HELPSIn the figure, XU=−4y+ 20 and XW=6y+ 10. Find the radius of the inscribed circle of △RST.
Answer:
16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Did u find it
Find the value of the unknown angle X.
158°
51°
21°
The diagram is not drawn to scale.
O
2 =
O
Answer:
x = [tex]130^{o}[/tex]
Step-by-step explanation:
The given figure is a trapezium which is a quadrilateral with four sides.
But,
Sum of angles in a quadrilateral = (n - 2) x 180
where n is the number of sides.
For a quadrilateral, n = 4. So that,
Sum of angles in a quadrilateral = (4 - 2) x 180
= 2 x 180
= [tex]360^{o}[/tex]
The sum of angles in a quadrilateral is [tex]360^{o}[/tex].
Thus,
[tex]158^{o}[/tex] + [tex]51^{o}[/tex] + [tex]x^{o}[/tex] + [tex]21^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] + [tex]230^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] = [tex]360^{o}[/tex] - [tex]230^{o}[/tex]
= [tex]130^{o}[/tex]
The value of x is [tex]130^{o}[/tex].
which is the best estimate of -14 1/9 (-2 9/10)?
-42
-28
28
42
Answer:
-42
Step-by-step explanation:
Uh I need help with this I cant figure it out
5. the difference between x and 7, divided by 3
Answer:
x - 7 ÷ 3 or
x - 7
-------- <------ fraction bar/line
3
Step-by-step explanation:
If you are trying to write the the difference between x and 7, divided by 3 then the answer is above.
hope this helps :)
PLEASEE FRIKEN HELP MEEEEEEEEEEEEEEEEEEEE
Whats 7x8(9+8)-6x7+2(77x8)-7+1092(2010x0.1134)+17-27=
Its my math question
Answer:
251028.928
Step-by-step explanation:
i used a calculator
The result of the expression 7 x 8(9 + 8) - 6 x 7 + 2 (77 x 8) - 7 + 1092 (2010 x 0.1134) + 17 - 27 will be 251028.928 .
Given , expression 7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27.
Apply BODMAS to solve the expression.
B = Bracket
O = of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Following the same order,
7 x 8(9+8) - 6 x 7 + 2(77 x 8) - 7 + 1092(2010 x 0.1134) + 17 - 27
= 952 - 42 + 1232 - 7 + 248903.928 + 17 - 27
= 251028.928
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Help me out:( Don’t forget to explain pls :(
Answer:
When you find the volume of a triangle, remember to do this:
Step-by-step explanation:
Multiply the base times the height, then divide by two.
:)
The mistake is in the second triangle and is noticeable at first because the length of the leg is longer than the length of the hypotenuse.
Since this is a 30 60 90 triangle, you can use the properties that apply to them. I'm assuming that the leg with the length of 62ft is the given side. Using the rules, we know that x/2 is 62 (since the properties of a 30 60 90 triangle state that the shortest side is x/2). In order to find the hypotenuse (which is x), we can multiply both sides of the equation x/2 = 62 to get x = 124. To find the second leg, we need to use sqrt(3)*x/2, which when you plug in 124, gives 107.39. Andrea just switched the lengths of the second leg and the hypotenuse on accident.
A line that includes the point (0, 9) has a slope of 9. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
which of the following equations has a unique (one) solution, no solution, or many
11x+4=3x+12
Answer:
x=1
Step-by-step explanation:
11x+4=3x+12
11x=3x+8
8x=8
x=1
Hope this helps!
-AxekickNebulite
1
—
4 of the students in the class received an A on the test. If there are 48 students in the class, how
many DID NOT get an A on the test
Please show the work
Answer:
36 did not get an A on the test
Step-by-step explanation:
48/4*3=36
Convert 83 to Fahrenheit. Show your work.
it’s like math but it’s stem too so can someone help me plz and show work i need it by today !
Step-by-step explanation:
(F-32)* 5/9 = C
(83 -32) * 5/9 = 28 + 1/3
Write (point slope form) and graph given a point and slope (3,7) and
m=4/3.
Step-by-step explanation:
equation is:
y=4/3 X+C
to find C use(3,7)
7=4/3×3 +C
C= 3
therefore ...
y=4/3X+3
3y=4X+ 9