Which of the following biconditional statements is true?

Answer:

[tex]2(1 - log_{3}(2) )[/tex]

Step-by-step explanation:

I have attached the explanation above, hopefully this help

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price  of the article = 18

Profit = 18 - 13 = 5

Hence,

          [tex]Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\[/tex]

                        [tex]= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%[/tex]

Profit percent (to the nearest %) = 39%

Answer:  [tex]\frac{n-m}{n}[/tex]

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

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Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

[tex]1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\[/tex]

and now the expression is one single fraction.

Answer:

the above answer help you.

Answer:

54°

Step-by-step explanation:

Here :-

Measure of 6 :-

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

Answer:

t = 2,3

Step-by-step explanation:

s (t) = t^2 + 2 t + 5

p (t) = 11 + 3 t

A:

s (1) = 8

s (2) = 13

s (3) = 20

s (4) = 29

Now

[tex]t^2 + 2 t + 5 = 11 t + 3t \\\\t^2 - t - 6 = 0\\\\t^2 - 3 t - 2 t - 6 = 0 \\\\(t-2)(t-3)=0\\\\t = 2, 3[/tex]

(b) The values are same at t =2 an t =3.  

Answer:

There are 39 seats I think.

Step-by-step explanation:

548 divided by 14 is a decimal but rounded it to the nearest full number.

Step-by-step explanation:

i hope this will help you

Answer:

give that person brainliest

Step-by-step explanation:

I am tired bestie. You are lucky we are friends. want sleep but homeworrkkk

Answer:

cost per serving can be used as a result of using your head to think

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-6)/(1-0)

m = -8/1

m = -8

The slope is -8

We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.

Put another way: slope = rise/run = -8/1

rise = -8 and run = 1.

Answer:

-8

it's easy just use the equation y2-y1 ÷ x2-x1

Answer:

they are the dame line...

A. Infinitely many solutions

Step-by-step explanation:

Answer: y = -3x this is the answer.

Answer:

1/6

Step-by-step explanation:

Gradient of a line perpendicular to a line with a gradient of m = -1/m

Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6

Answer:

40 units

Step-by-step explanation:

9x-5=7x+7

9x-7x=7+5

2x=12

x=6

6x+4

6(6)+4

36+4

40

Answer:

V₂ = V₁

Step-by-step explanation:

Let the height of the rectangular prism = h

Let s represent the side length of the base of the square prism, we have;

The volume of the prism, [tex]V_{prism}[/tex] = s²·h

The volume of the square pyramid, [tex]V_{pyramid}[/tex] = (1/3)·s²·h

∴ V₁ = The area not taken up by the square pyramid = [tex]V_{prism}[/tex] - [tex]V_{pyramid}[/tex]

∴ V₁ = s²·h - (1/3)·s²·h = (2/3)·s²·h

Similarly, for the cylinder, we have;

Let h represent the height of the cylinder

Let r represent the radius of the base of the cone, we have;

Therefore;

The volume of the cylinder, [tex]V_{cylinder}[/tex] = π·r²·h

The volume of the cone, [tex]V_{cone}[/tex] = (1/3)·π·r²·h

∴ V₂ = π·r²·h - (1/3)·π·r²·h = (2/3)·π·r²·h

V₂ = (2/3)·π·r²·h

[tex]V_{cone}[/tex] = [tex]V_{pyramid}[/tex]

Therefore;

(1/3)·π·r²·h = (1/3)·s²·h

∴ π·r² = s²

Therefore, V₂ = (2/3)·π·r²·h = V₂ = (2/3)·s²·h = V₁

V₂ = V₁.

Answer:

Step-by-step explanation:

0.18-0.32 = .25-1.95

-0.14 = 1.70

obviously that equation above is not true,  I suspect that there were some "x" variables on some of those numbers?

Answer:

40°

Step-by-step explanation:

The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,

> x + 70° + 70° = 180°

> x + 140° = 180°

> x = 180° - 140°

> x = 40°

Answer:

40 degrees

Step-by-step explanation:

We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.

Every triangle adds up to 180 degrees.

So, You can just do 180 - (70+70)  

Algebra version:

70 + 70 + x = 180

140 + x = 180  (subtract 140 on both sides)

x = 40

hope this helps :)

Answer:

the first option

Step-by-step explanation:

I have attached the explanation. hope this help

Answer:

[tex]{ \bf{total \: ratio = 4 + 3 = 7}} \\ { \tt{let \: population \: be \: p}} \\ \frac{4}{7} \times p = 24 \\ 4p = 168 \\ p = 42 \\ { \bf{there \: are \: 42 \: people}}[/tex]

Boys to girls- 4:3

Boys and girls- 24 and x (let the girls be x)

4/3=24/x

=4x= 72

= x= 72/4

= x= 18 girls

Ans: There are 42 children (24+18)

Answer:

The country is France.

The correct answer is France

Answer:

B.

Step-by-step explanation:

The numbers are always in the blue side, and the blue side starts at facing right, left, right, and then left.

Answer:

8 Times, Mark would expect to roll a one 'Eight times'

Answer:

its b b b

Step-by-step explanation:

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Explanation:

A proportional linear relationship is of the form y = kx

We can solve for k to get k = y/x.

Based on that, we can prove a table is a proportional linear relationship if and only if each column of x,y values divide to the same number.

Choice A shows that y/x = 2/8 = 1/4 for the first column; however, y/x = 8/16 = 1/2 for the second column. The outputs 1/4 and 1/2 not being the same indicates we don't have a constant k value for all of the columns. This is sufficient to show that table A is not a proportional linear relationship.

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In contrast, table B is a proportional linear relationship because we have these four divisions that lead to the same value (1/8)

Showing that k = 1/8 for table B. The equation here is y = (1/8)x. We can rule out choice B.

I'll let you check out tables C and D on your own, but you should find that a similar situation shows up as did with table B. This indicates tables C and D are also proportional linear relationships. We can rule out choices C and D.

Answer:

The b represents the people on each bus.

Step-by-step explanation:

Answer:

C.the number of students who rode on each bus.

Step-by-step explanation: