Express the ratio below in its simplest form. 18:9

sorry for this being so long I'm a rush but ask questions pls.

Step-by-step explanation:

The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.

For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.

Now:

A smaller object with a given mass will have a higher density;

A larger object with a given mass will have a lower density;

An object of given size with a smaller mass will have a lower density;

An object of given size with a larger mass will have a higher density.

This could be summed up by saying that density varies inversely with size but varies directly with mass.

So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.

Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.

Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.

Notes

The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)

In the context of measuring the diameter of a circle, it says:

Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.

There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.

The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.

Answer:

-5n + 27

Step-by-step explanation:

The difference is -5.

The first term is 22.

Use the formula for nth term.

an = dn + (a - d)

a is the first term.

d is the difference.

an = - 5n + (22 - ( - 5 ))

an = -5n + (22 + 5)

an = -5n + 27

Answer:

27 - 5n.

Step-by-step explanation:

This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).

nth term an = a1 + d(n - 1)

= 22 - 5(n - 1)

Which simplifies to  27 - 5n

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Answer:

-30

Step-by-step explanation:

3 3/5 × -8 1/3

Turn to improper fractions.

18/5 × -25/3

Multiply.

-450/15

Divide.

= -30

To solve the given equation, we will use the addition property of equality.

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.

For numbers a, b, and c, if a = b then a + c = b + c.

Given is an equation, x - 5 = -14,

We are asked to identify, that, which property of equality was used to solve this equation,

Solving the equation,

x - 5 = -14

Add 5 to both sides,

x-5+5 = -14+5

x = -9

Since, we used addition, therefore, this property is addition property of equality.

Hence, to solve the given equation, we will use the addition property of equality.

Learn more about addition property of equality, click;

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Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

Answer:

B) y= -1/4x + 11/16

Step-by-step explanation:

I just took the quiz on edge

Answer:

Explanation:

I hope you understand this

Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Answer:

0.96176920308

Step-by-step explanation:

i think so

Answer:

140

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140

Answer:  a₂₄ = 140

Step-by-step explanation:

The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex]  where

Given: a₁ = 2, d = 6, n = 24

a₂₄ = 2 + 6(24 - 1)

     = 2 + 6(23)

     = 2  + 138

    = 140

The 24th term is 140.

Answer:

36 pounds

Step-by-step explanation:

Its a "large" package. So it's going to be heavy

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

Answer:

C. -2

Step-by-step explanation:

The slopes of parallel lines are always the same.

[tex]\pi \times d[/tex]

22/7×21.6

=67.88

=70

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

Answer:

A, B, C

Step-by-step explanation:

A = -8

B = |-6| = 6

C = |11| = 11

Least to greatest, negatives are the least and between 6 and 11, 11 is the greatest.

Answer:

B,C,A

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.

Answer:

C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Step-by-step explanation:

Data Set 1

[tex]\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3[/tex]

[tex]S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}[/tex]

[tex]\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67[/tex]

Data Set 2

[tex]\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3[/tex]

[tex]\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89[/tex]

0.89 X 2=1.78 which is close to 1.67

Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Answer:

2

Step-by-step explanation:

First calculate the mean. This is done by adding the numbers and dividing by the count:

sum = 6+0+4+3+2 = 15

count = 5

mean = 15/5 = 3

Now create a table with the "squared deviation to the mean":

6: (6 - 3)² = 9

0: (0 - 3)² = 9

4: (4 - 3)² = 1

3: (3 - 3)² = 0

2: (2 - 3)² = 1

And sum these:

9+9+1+0+1 = 20

Divide by the count to find σ²:

σ² = 20/5 = 4

Hence σ = √4 = 2

Answer ?.???? ?.???. ?????

Area of the semicircle = 509.004 cm²

When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.

Given,

radius of semicircle = 18cm

π = 3.142

Area of the semicircle = πr²/2

                                     = 3.142 × 18×18/2

                                     = 3.142 × 18×9

                                     = 56.556×9

                                     = 509.004 cm²

Hence, 509.004 cm² is the area of the semicircle.

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Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

Answer:

Step-by-step explanation:

V=0.5*b*l*h

V=0.5*10*28*12

V=10*14*12

V=10*168

V=1680 m^3 or C

Answer:

C. 1680 m³

Step-by-step explanation:

Find the base of the triangular prism:

[tex]\frac{1}{2}*28m*12m=\\14m*12m=\\168m^2[/tex]

Now we can multiply the base by the height, 10.

[tex]168m^2*10m=\\1680m^3[/tex]

Our answer is C. 1680 m³

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Answer:

see explanation

Step-by-step explanation:

Because the quantities are in proportion

When x doubles then y doubles