The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm
Answer:
20cmStep-by-step explanation:
The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm
--------------------
scale = 1:6000
so
1200 : 6000 = 0.2m
0.2m = 20 cm
Answer:
20cm
Step-by-step explanation:
«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion [tex]\dfrac{1}{6000}=\dfrac{x}{1200}[/tex], where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.
1.) From a group of 8 people, 5 will each win $1,000. How many different winning groups are
possible?
A.) 56
B.) 6720
C.) 168
D.) 336
Anwser 6720 ways different
Step-by-step explanation:
In this case, we must calculate the different ways using the permutation formula:
nPr = n! / (n - r)!
where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5
replacing:
8P5 = 8! / (8 - 5)!
8P5 = 6720
That is to say that there are 6720 ways different winning groups are possible
help - does anyone know how to calculate the gradient of this?
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.
(13x2+9x-4)-(12x2-2x+6)
add or subtract the polynomials
Answer:
[tex]x^{2} +11x-10[/tex]
Step-by-step explanation:
[tex](13x^{2} +9x-4)-(12x^{2} -2x+6)[/tex]
Remove the brackets and multiply the minus sign through all the numbers in the second polynomial
[tex]13x^{2} +9x-4-12x^{2} +2x-6[/tex]
Rearrange in the highest order
[tex]13x^{2} -12x^{2} +9x+2x-4-6[/tex]
Simplify
[tex]x^{2} +11x-10[/tex]
A necklace is made from 2 purple pyramids and 12 yellow spheres. What is the ratio of pyramids to spheres in its simplest form?
Answer:
1:6
Step-by-step explanation:
2:12
\/
1:6
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
1:6
Step-by-step explanation:
2/12 = 1/6
9. 2 less than 3 times a number is the same as 2114. What is the number?
Enter your answer as a decimal or simplified mixed number in the box. The number is.
Answer:
705.3 repeated I don't know if that's what you want but
3 times of 705.33 and 2 subtracted is equal to 2114.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
2 less than 3 times a number equal to 2114.
Let the required number is x.
According to given condition,
3x - 2 = 2114
3x = 2114 + 2
3x = 2116
x = 2116 / 3
x = 705.33
The required number is 705.33.
To know more about Simplification on :
https://brainly.com/question/2804192
#SPJ5
Which of the following tables does not represent a function?
x y
-1 1
-2 1
-3 1
x y
-5 1
-5 -2
-5 -5
x y
-4 0
2 0
5 7
x y
-5 1
-3 -2
-1 -5
Step-by-step explanation:
the second one (with the -5 as x values) is not a function, because the valid x value -5 has more than one associated different solution value y.
for a function a valid x value can lead only to exactly one result y value.
What is 2x-3y=12 on a graph?
What is x squared = 100
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] {x}^{2} = 100[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
your equation is this... x2 - 100
since you have no x term to the first power you can write 0x... like this
x2 + 0x - 100
Now, what numbers will add to 0 and multiply to -100
The numbers 10 and -10 will
10 + -10 = 0
10 * -10 = -100
therefore
(x - 10)(x + 10) is the way you factor it
Step-by-step explanation:
solutions: ( x = 2 & x = -2 )
hmmmmhmmmmmmmmmmmmmmmmmmmmmm
HELP PLSSS!!!
What is the equation of the line?
A: y=2x+2
B: y= 1/2x -4
C: y=1/2x + 2
D: y=2x-4
GIVING BRAINLY TO CORRECT ANSWER
Answer:
The answer is C
Step-by-step explanation:
Hope that helps ;)
If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10
Answer:
The value of A is 2
Step-by-step explanation:
F = 2 , B = 3 , K = 10
K = F( A + B )
10 = 2(A + 3)
10 = 2A + 6
Now, Subtract 6 from each side we get,
10 - 6 = 2A + 6 - 6
4 = 2A
2A = 4
Now, divide both side by 2 we get,
2A/2 = 4/2
A = 2
Thus, The value of A is 2
FOR VERIFICATION ONLY :-K = F( A + B )
10 = 2(2 + 3)
10 = 2(5)
10 = 10
L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72
Answer ASAP please<3
Step-by-step explanation:
So if you multiply both the numerator and denominator by the same number, you get the initial number. Your goal here is to get the same denominator so that you can solve the problem easily! hope it helped!
Select the correct answer.
What is ?
A.
B.
C.
D.
Answer:
B. 7 1/2
Step-by-step explanation:
1. To solve this problem, we have to multiply 2 1/2 by the reciprocal of 1/3.
In other words, multiply 2 1/2 by the inverse of 1/3, which is 3.2. (Solving)
[tex]2\frac{1}{2} *3[/tex] [tex]\frac{5}{2} *3[/tex] [tex]\frac{15}{2}[/tex] [tex]7\frac{1}{2}[/tex]Therefore, the answer is B. 7 1/2.
Answer:
its B mark branli.est pls
Step-by-step explanation:
w + 12 = 20 *
ANSWER ASAP PLS
Answer:
the nwser is 8 please mark brainliest
Step-by-step explanation:
someone please help me with this!!!
Answer:
it would be 3 85
Step-by-step explanation:
but rounded would be 3 100 pls mark as brainliest
work out 4 1/2 - 1 1/3
Answer:
3 1/6
brainliest?
A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to a sensible degree of accuracy. morto
Answer: 350000
Step-by-step explanation: Hope this helps :) (if wrong please make sure next time add answer that can be picked from it better or if theres no answers maybe give some more detail?)
80% of __ is 16 help
Answer:
80% of 20 is 16.
Step-by-step explanation:
Hello darling, the answer is 20 ^^
What is the diameter of a circular swimming pool with the radius of 8 feet
Which of the following represents 3 times the sum of 3
and 8?
Answer:
The expression would be (x + 3)(x - 8) and if we multiplied those together we would get x^2 - 5x - 24
Step-by-step explanation:
Ms. Henderson's plant is 613 inches tall. It is 156 inches taller than Megan's plant.
How tall is Megan's plant?
Answer:
Megan's plant is 457 Inches tall
Step-by-step explanation:
solve for y: 1/2(4y+6)=4-2(y-6)/3
Answer:
y = 7/8
Step-by-step explanation:
12y+18=-4y+32
12y+18-18=-4y+32-18
12y=-4y+14
12y+4y=-4y+14+4y
16y=14
16y/16=14/16
y = 7/8
solve pls brainliest
Answer:
64%
Step-by-step explanation:
Step 1: Divide 16 by 25
-> [tex]\frac{16}{25}[/tex] -> [tex]0.64[/tex]Step 2: Multiply quotient by 100.
[tex]0.64 * 100[/tex] [tex]6.4 * 10[/tex] [tex]64[/tex] 64%Therefore, 16/25 as a percentage is 64%.
Answer:
Well you can make a proportion
Percentage means ”Out of a hundred”
So you can make a proportion with any fraction Equal to x/100 since
X is the unknown perctange.
in this case it’s 16/25
16/25 = x/100
So cross multiply To solve for X
1600= 25x
x= 64
So 64 Percent
In this case you can use benchmarks. If you do it more or long enough, you’d memorize them.
In this case 25 is a bench mark of 1/4 or 25. 25 goes into 100 4 times so you can multiply 16 by 4 to get your percentage since if you do multiply 4, you have to do it to both the numerator and the Denominator.
so 16/25
16*4= 64
25*4=100
64/100 or 64 percent.
Common benchmarks for percentages
5, 10, 20, 25, 50
5 is always multiply by 20
10 is always multiply by 10
20 is always multiplied by 5
25 is always multiplied by 4
50 is always multiplied by 2
2x2-5x-2 solve by quadratic formula 9leave answers in simplest radical form)
Answer:
-5x+2
Step-by-step explanation:
1. Multiply number 2 and 2=4 so it is
4-5x-2
2. Combine like terms
-5x+4-2
3. Subtract the numbers
-5x+2
Three partners are investing a total of $900,000 to open a garden and landscaping store. Their investments are in the ratio of 2:3:5. .
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer: A)10 B)14 C) 12 D)10
Step-by-step explanation:
You would cross multiply and divide! So for part A you would multiply 2x55 which equals 110 then divide that by 11 and get 10. You then repeat that for each part!
a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams. How much of the substance remains after 8 seconds?
Answer:
1.25 g
Step-by-step explanation:
you start with 20g at 0 seconds.
divide by half after 2 seconds and you have 10g.
at 4 seconds you have 5g.
at 6 seconds you have 2.5g.
at 8 seconds you have 1.25g.
The size of the substance after 8 seconds will be 1.25 g
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams.
Start with 20g at 0 seconds and divide by half after 2 seconds and you have 10g.
4 seconds you have 5g.
6 seconds you have 2.5g.
8 seconds you have 1.25g.
To know more about an expression follow
https://brainly.com/question/1581557
#SPJ5
Helppp pleasee ........
Answer:
y=3
Step-by-step explanation:
y = - x +7
x=4
so y = -4 +7
y = 3
What is the slope of this graph?
A-4
B 1/4
C-1/4
D 4
Answer:
The answer is D
Step-by-step explanation:
The line has 2 points: (-1;0) and (0;-4)
=> x1 = -1; x2 = 0 => x1 - x2 = -1 - 0 = -1
y1 = 0; y2 = -4 => y1 - y2 = 0 - 4 = -4
=> slope = (y1 - y2)/(x1 - x2) = [tex]\frac{-4}{-1}[/tex] = 4 => D