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We have a group of 169 students that needs to be seated in a square formation. Then, the number of rows has to be the square root of 169 :-

[tex]r = \sqrt{169} = 13[/tex]

Then, a square of 13 rows and 13 columns will fit the 169 students.

If the number of students is 1024, then the number of rows N can be calculated as :-

[tex] {N}^{2} = 1024[/tex]

[tex]N = \sqrt{1024} [/tex]

[tex]N = 32[/tex]

169 students will seat in a 13×13 formation.

1024 students will seat in a 32×32 formation (N=32)

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Answer:

Step-by-step explanation:

Are the ratios 17:10 and 2:1 equivalent?

17 : 10 = 1.7

2:1      = 2

Answer:

x = -1/3 or x = 6

Step-by-step explanation:

For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

Answer:

  ∠FGH = ∠HGI = 29°

  ∠FGI = 58°

Step-by-step explanation:

GH is marked as an angle bisector, so we have ...

  ∠FGH = ∠HGI

  2x -9 = 3x -28

  19 = x . . . . . . . . . . . . add 28-2x to both sides

Of course, the angle FGH is the sum of its parts. Then the angle measures are  ...

  (2x -9)° = (2·19 -9)° = 29°

  ∠FGH = ∠HGI = 29°

  ∠FGI = 58°

Answer:

it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test

The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.

Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

The given data from the table as follows;

The subgroup count of the column =  120

The total count = 500

Let x be the relative frequency

The relative frequency is found as;

[tex]x = \dfrac{120}{500} \\\\x = 0.24[/tex]

Therefore, the value of x is 0.24. So, Option C is correct.

To learn more about the frequency table;

brainly.com/question/12576014

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Answer:

Step-by-step explanation:

4 magazines, and each magazines has 13 bullets:

4 bullets for each person:

Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:

(2a-1+a+7)/2 = 17

(3a +6)/2 = 17

3a + 6 = 34

3a = 28

a = 9[tex]\frac{1}{3}[/tex]

Let the first no be x

ATQ

[tex]\\ \sf\longmapsto \dfrac{1}{x}+\dfrac{1}{2x+1}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x+1}{2x^2+x}=\dfrac{7}{10}[/tex]

[tex]\\ \sf\longmapsto 30x+10=14x^2+7x[/tex]

[tex]\\ \sf\longmapsto 14x^2-23x-10=0[/tex]

On solving we get

[tex]\\ \sf\longmapsto x=-5/14\:or\:2[/tex]

First no=2

Second no=5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

There are two figures. The second number is one greater than twice the first. The total of the number's reciprocals is 7/10.

Let the two numbers be 'x' and 'y'. Then the equations are given as,

y = 2x + 1                   ...1

1/x + 1/y = 7/10           ...2

From equations 1 and 2, then we have

1/x + 1/(2x + 1) = 7/10

10(2x + 1 + x) = 7x(2x + 1)

30x + 10 = 14x² + 7x

14x² - 23x - 10 = 0

14x² - 28x + 5x - 10 = 0

14x(x - 2) + 5(x - 2) = 0

(14x + 5)(x - 2) = 0

x = 2, - 5/14

At x = 2, then the value of y is given as,

y = 2 (2) + 1

y = 5

The value of the two variables 'x' and 'y' will be 2 and 5, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

5/6

Step-by-step explanation:

3 hours= 2 1/2 miles

1 hour= 2 1/2 divided by 3

It would take him 5/6 of an hour

Hop this helps!

Answer:

Step-by-step explanation:

A. If you need proof message me.

Answer:

D

Step-by-step explanation:

its correct

Answer:

  dilation by a factor of 1/3 about the origin

Step-by-step explanation:

Triangle B has 1/3 the dimensions of triangle A, and it is 1/3 as far from the origin. The transformation of interest is ...

  dilation by a factor of 1/3 about the origin

Answer:

4:30

Explanation:

Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30

Answer:

4.7kg

Step-by-step explanation:

since when ready it is 7.3

subtract

7.3_2.6

Therefore the answer is4.7kg

Answer:

i learn and solve them easily they r easy

Answer:

70%

Step-by-step explanation:

is/of =x/100

Answer:

(3, 1)

Step-by-step explanation:

y = −x + 4

y = x − 2

-x + 4 = x - 2

4 = 2x - 2

6 = 2x

3 = x

y = (3) − 2

y = 1

Answer:

x = 3 and y = 1

Step-by-step explanation:

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

you need to know the slope of the line -2x + 3y = -6 because parallel lines have the same slopes

let's put the equation in y=mx+b format (slope-intercept format)

-2x + 3y = -6

add 2x to each side to get:

3y = 2x - 6

divide each side by 3 to get:

y = 2/3x - 2

the equation now shows us the slope is 2/3 and the y-intercept is (0,-2)

now we use y=mx+b again and use the point (-2,0) and the m=2/3 to get the y-intercept ('b' value) of the equation that is parallel:

0 = 2/3(-2) + b

0 = -4/3 + b

b = 4/3

equation would be:

y = 2/3x + 4/3

4, 8, 12, 20

10, 20

The least common multiple of 4 and 10

I hoped this helped. :)

Answer:

whats your equation?

Step-by-step explanation:

Ill edit my answer after.

Answer:

Step-by-step explanation: Sorry if im late

Answer: 5 in

Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.

Answer:

your answer is 1.65 or E :)

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

Answer:

Step-by-step explanation:

Using the Base Angles Theorem to define the terms relating to an isoceles triangle:

An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle.  The side that is opposite to the vertex angle is the base of the triangle.

Therefore, the following are the missing terms in the given problem:

Answer:

Here plz give brainliest not easy to explain in detail like this

Step-by-step explanation:

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:  (4, 4290) and (8, 3850)

Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:

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

m = (3850 - 4290)/(8 - 4)          Substitution

m = -440/4                               Solve the subtraction problems in the parenthesis

m = -110                                  Reduce the fraction

Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line.  I will use the first point, but either point will produce the same answer.

y - y1 = m(x - x1)                                     Point-slop e formula

y - 4290 = -110(x - 4)                              Substitution

y - 4290 = -110x + 440                            Distribute the -110

y - 4290 + 4290 = -110x + 440 + 4290      Add 4290 to each side

y = -110x + 4730                                     Simplify

Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we need to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

Answer:

9

Step-by-step explanation:

→ Divide the number of red marbles by the ratio of red marbles

12 ÷ 4 = 3

→ Multiply 3 by the ratio of 3

9

Answer:

x = 8 and y = 21

Step-by-step explanation:

3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21

Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18

Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18

Then you minus 18 from 90to get 72 = 9x

Then divide 72 by 9 to get x = 8