the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Answer:

○ B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

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Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer: m=3

Step-by-step explanation:

This could be written as m+5=8

You would then do the inverse to 'undo' the equation. So instead of adding 5 you would take away 5 from 8.

8-5=3

Hope this helps :)

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

Answer:

800 × ( 3.87÷ 100 ) × 1

= 30.96

The statement to represent the expression is fraction 1 over 2 the difference between 734 and 246. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 1/2 ×(734-246)

= 1/2 ×488

= 244

Therefore, option B is the correct answer.

To learn more about an expression visit;

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Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

I don't know sorry but I recommend using quizlet

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

First find the length of the room by dividing the area by the width:

99 / 9 = 11

2 walls would be 9 feet and 2 walls would be 11 feet.

Perimeter is the sum of the 4 walls:

11 + 11 + 9 + 9 = 40 feet

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

.

Step-by-step explanation:

.///////

Answer:

5

Step-by-step explanation:

The value of the interquartile range of the data below is 5.

The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.

The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

From the Plot we can write

Minimum = 27

Lower quartile = 32

Median = 36

Upper Quartile = 37

Maximum = 40

So, Interquartile range (IQR)

= Third Quartile (Q3) - First Quartile (Q1)

= 37 - 32

= 5

Learn more about IQR here:

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Answer:

1/12

Step-by-step explanation:

if Mr.Tough can grade 1 in 12 hours he can do 1/12

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.

Using, rate × time = work done

So, Mr Tough's rate:

Mr Tough's rate × 12 hours = final exam

Mr Tough's rate = 1/12

and, Mrs. Nice's' rate:

Mrs .Nice's' rate × 15 hours = final exam

Mrs .Nice's' rate = 1/15

So, Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

T =  final exam / (0.15)

Now, 1 hour =  final exam / (0.15)

final exam = 1 × 0.15

                = 0.15

                = 15/ 100

                = 3/20

Therefore, 3/20 fraction of the final exam.

Learn more about work, time and rate here:

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The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

[tex]x-5\leq 12[/tex]

You add 5 to each side

[tex]x\leq 17[/tex]

This inequality will be correct if x is less than or equal to 17. Meaning any number less than 17 and including 17 will make the equation correct. For this reason you pick the one with a filled circle. The answer is H