8x + 7(2-3x) = -6(2x + 5)

The given numbers are 0, -2, -3, -4, -5, -6, -7, -8, and -10.

Sum of all the integers is -45.

There are 9 places in 3x3 magic square, so divide -45 by 9, we have -45/9=-5.

Put the number -5 at the center place in the magic square.

Now, take the integer having the largest magnitude, i.e -10.

There are two positions to place -10, one is diagonal positions and the other is non-diagonal positions and to make sum = -15, the other number with -5 and -10 must be 0 as shown in the figure (i) and (ii).

Now, the row and column having 0 must have -8 and -7 to make sum -15, which disregards the possibility of -10 at the diagonal place ( figure (i)). So, proceeds with the places in figure (ii), the possible places of -8 and -7 have been shown in figure (iii).

Now, as the sum of diagonals = -15, so place -3 and -2 at diagonal positions and also place the remaining numbers -4 and -6 to make the sum of numbers in columns and rows -15 as shown in figure (iv).

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AOBC is a parallelogram ,

Thus :

[tex]OA = BC = a[/tex]

And ;

[tex]AC = OB = b [/tex]

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M is the midpoint of AC ,

So :

[tex]AM = MC = \frac{b}{2} \\ [/tex]

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According to case of Cosine in ∆ OAM :

[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]

So :

[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]

[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]

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Just for know more...

According to the case of Sine in ∆ OAM :

[tex] \frac{OM}{ sin(A) } = \frac{

AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]

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yes

Step-by-step explanation:

i will 100% alsways wear a mask

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

Answer:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)

Step-by-step explanation:

Answer:

27.7778

Step-by-step explanation:

If 13 out of 18 players are seniors then 5 of them are not.

To find the percentage you do (5/18) ⋅ 100

5 divided by 18 gives us 0.27777778

Then we multiply by 100 (or move the decimal point two spaces to the right)

The result should be 27.7778%

(the 7s go on forever)

Answer:

5

Step-by-step explanation:

3 3/4 divided  by 3/4  is equal to 15/4 divided by 3/4

which is 15/4 times 4/3  the 4's cancel each other out making it 15/3 which is 5

Answer:

The answer is 5

Step-by-step explanation:

i dont really know how i know it just do.

Answer:

C.¿Cuanto dinero hay al cabo de n anos

Answer:

just take A (adult) and S (student) and put  9a + 11s = 206 and 9a + 13 s = 232 and go from their

Step-by-step explanation:

Answer:

D. 5.5

Step-by-step explanation:

Answer: 5.5

Step-by-step explanation:

KM=LN

6x+16=49

6x=33, x=5.5

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

Answer:

-8d-5

Step-by-step explanation:

Distribute the Negative Sign:

=−6d+2+−1(7+2d)

=−6d+2+(−1)(7)+−1(2d)

=−6d+2+−7+−2d

Combine Like Terms:

=−6d+2+−7+−2d

=(−6d+−2d)+(2+−7)

=−8d−5

Answer:

Step-by-step explanation:

4x - 9 = 35                   Add 9 to both sides

4x - 9 +9 = 35 + 9        Combine like terms

4x = 44                         Divide both sides by 4

4x/4 = 44/4                  Complete the division

x = 11

Answer:

-2

Step-by-step explanation:

Answer:

9.1

Step-by-step explanation:

he needs one box

he needs 4 individuals 1.39×4=5.56

6 x.59=3.54

5.56+3.54=9.1

Answer: 1/4 chance of picking red

Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4

Hope this helps!

Answer:

30/120

Step-by-step explanation:

Add 30+30+60

120/ 4 because 60/2 is 30 so thats two 30s

then there is a 30 out of 120 chance it is red

Answer:

undefined i think

Step-by-step explanation:

Answer:

A. The fraction 1[tex]\frac{1}{6}[/tex] would negative, since she is cutting off/losing hair rather than gaining it.

B. (this is just an improper fraction converted to have the same denominator as the second fraction, and is equivalent to  -1[tex]\frac{1}{6}[/tex] )--> - [tex]\frac{14}{12}[/tex] + [tex]\frac{5}{12}[/tex] = - [tex]\frac{9}{12}[/tex] or - [tex]\frac{3}{4}[/tex]

Answer:

Arc SN = 65

Step-by-step explanation:

The relationship between these three is

RPQ = 1/2 (arc SN + arc QR)

70 = 1/2 (x + 75)                        Multiply by 2

140 = x + 75                              Subtract 75

x = 140 - 75

x = 65

Answer:

( [tex]\frac{5}{3}[/tex] , 0 ) ; ( 0 , - [tex]\frac{5}{2}[/tex] )

Step-by-step explanation:

- 3x + 2y = - 5

Coordinates of x-intercept are (x, 0)

- 3x + 2(0) = - 5 ⇒ x = [tex]\frac{5}{3}[/tex]

Coordinates of y-intercept are (0, y)

- 3(0) + 2y = - 5 ⇒ y = - [tex]\frac{5}{2}[/tex]

Answer:

9 goes in the blank

Step-by-step explanation:

Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)

Answer:

9/21

Step-by-step explanation:

multiply the numerator and denominator by 3 and you will get 9/21

Answer:

(-1,-1)(4,-20)(2,0)

Step-by-step explanation: Just fill in the x and y

Answer:

It says why you suck at cooking

Hope this helps!! :D

Answer:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

--------------------

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

================

      2x + 3

or:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Answer:

1,941.381

Step-by-step explanation: Original answer is 1,941.38095

By rounding to the fourth decimal place = 1,941.381

Answer: 13 months.

Step-by-step explanation:

25+10+10+10+10+10+10+10+10+10+10+10+10+10= $155