There are 727272 boys and 909090 girls on the math team. For the next math competition, Mr. Johnson would like to arrange all of the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row?

Answer:

1). Cinnamon costs $7 per one pound

2). Price per pound of the cinnamon equals $[tex]\frac{5.25}{0.75}[/tex].

Step-by-step explanation:

x-values on the graph define the weight of cinnamon and y-values define the price.

Slope of the line drawn from the origin (0, 0) and (0.75, 5.25) will determine the per lb price of the cinnamon.

Slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] will be,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

If the points on the given line re (0,0) and (0.75, 5.25),

Slope = [tex]\frac{5.25-0}{0.75-0}[/tex]

          = 7

Therefore, two options are the correct options.

1). Cinnamon costs $7 per one pound

2). Price per pound of the cinnamon equals $[tex]\frac{5.25}{0.75}[/tex].

Answer:

45 words per minute!

Step-by-step explanation:

Divide 900 by 20!

Answer:

Her typing speed is 45 word per minute

Step-by-step explanation:

20x = 900

divided 20 on both sides

x = 45

Answer:

358.125

Step-by-step explanation:

Your welcome!

Answer:

7

Step-by-step explanation:

9x + 1 = 7x - 9 + 5x - 11

9x + 1 = 12x - 20

9x + 1 - 1 = 12x - 20 - 1

9x = 12x - 21

9x - 12x = 12x - 12x -21

-3x = -21

-3x/3 = -21/-3

x = 7

Hope that helps!

Answer:

The 10th term of the GP is 2560.

Step-by-step explanation:

It is given that,

The first term of the GP, a = 5

Common ratio, r = 2

We need to find the 10th term of the GP. The nth term of a GP is given by :

[tex]T_n=ar^{n-1}[/tex]

Put n = 10

[tex]T_{10}=5\times 2^{10-1}\\\\T_{10}=2560[/tex]

So, the 10th term of the GP is 2560.

Answer:

Complex numbers

Step-by-step explanation:

Given

[tex](5 + i)[/tex] and [tex](5 - i)[/tex]

Required

Determine what both factors are called

From the list of given options. option "complex numbers" answer the question correctly

This is because when numbers are written in form [tex]a + bi[/tex] where [tex]b \neq 0[/tex] and [tex]i = \sqrt{-1}[/tex];  such a number are referred to as complex number

Some other examples are:

[tex]-7 + 3i[/tex]

[tex]2 - 7i[/tex]

[tex]4 + i[/tex]

And lots more

Answer:

Step-by-step explanation:

The easiest way to do any of these is to put the fraction into your  calculator and see what comes up.

So for 32/9 you get 3.5555555555 which is the same as 3.5 with a bar over it.

7/30 is the same as .23333333333 which is the same as 0.23 with a bar over the three.

5/3 = 1.6666666 which is 1.6 with a bar over the 6

4/9 is 0.4444444 which is the same as 0.4 with a bar over the 4.

Answer:

AA postulate

Step-by-step explanation:

Because both the angle are identical?

Answer:

9 drinks

Step-by-step explanation:

3+3+3=9

Or 3*3=9

Answer:

9

Step-by-step explanation:

Answer:

152 (Answer A)

Step-by-step explanation:

The experimental probability of obtaining a head is 19/100, or 0.19.

If the coin is flipped 800 times, the expected number of heads will thus be:

0.19(800 flips) = 152  (Answer A)

Step-by-step explanation:

4 - 7m + n - 2m + 1

5 + 5m + n

i think is complicated

Answer:

60x-45y=-1

A = 60

B = -45

C =-1

Step-by-step explanation:

[tex]9y=12x+0.2\\Re-write\:0.2\:as\:1/5-12x =-9y+\frac{1}{5} \\\\Multiply\:all \:terms \:by\:-1\\-1(-12x=-9y+1/5)\\\\12x =9y-\frac{1}{5} \\\\Multiply\: through\: by \:5\\5(12x =9y - \frac{1}{5} )\\\\60x = 45y -1\\\\60x-45y =-1[/tex]

Answer:

5z-8

Step-by-step explanation:

(8z-8)+3z=

5z-8

Answer:

z-8

Step-by-step explanation:

4(z -2)+3z

4z -8 +3z

-3       -3

z -8

Answer:

5 buses

Step-by-step explanation:

You add all the students up to get 168, because that's the total number of students, and divide it by 36. The buses can only carry 36 people, so you will need 4.666 buses, but you can't have 0.666 of a bus, so you will need 5 buses to fit everyone.

Answer: 3x + 4y - 3z - 3 = 0

Step-by-step explanation:

with the given point (3, 0, 2), the plane is orthogonal to this line so it

has directional ratios (3, 4, -3)

therefore the given equation can be written as;

(x+2)/3 = (y-2)/4 = (z+1)/-3

so equation of the plane passing through point x1, y1 and z1 in the one point form is given as;

a(x-x1) + b(y - y1) + c(z -z1) = 0

abc represent the direction ratio

so we substitute

3(x-3) + 4(y-0) + (-3(z-2)) = 0

3x - 9 + 4y - 0 - 3z + 6 = 0

3x + 4y - 3z - 3 = 0

therefore the equation of the plane through the point is  3x + 4y - 3z - 3 = 0

Answer:

Step-by-step explanation:

Check boxes.

Sorting (on columns)

Icons that communicate alerts.

Pagination.

Headers Row.

Answer:

25.45 per lesson

Step-by-step explanation:

divide $305.40 by 12

Answer: equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Step-by-step explanation:

Given data;

5x - y - z = 6

therefore vector of plane is n° = ( 5, -1, -1)

so equation will be

n°(x-x₀, y-y₀, z-z₀) = 0

( 5, -1, -1) (x-x₀, y-y₀, z-z₀) = 0

5(x- (1)) -1(y - (-1)) -1(z - (-1)) = 0

5x - 5 - y - 1 - z - 1 = 0

5x - y - z - 7 = 0

Therefore equation of the plane is 5x - y - z - 7 = 0  

same as ( 5x - y - z = 7 )

Answer:

16x²=1

x²=1/16

x=√(1/16)

x=+- (1/4)

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm

Answer:

y + 8 = 2x + 2

Step-by-step explanation:

Use the points given to find the slope.  Divide the difference in y-values by the difference in x-values.

(-1) - (-7) = 6

5 - (-8) = 3

6/3 = 2

The slope is 2.

Now, pick one of the points to put in point-slope form.  It doesn't matter which.  You will get the right answer either way.  I will use (-1, -8).

y - y₁ = m(x - x₁)

y - (-8) = 2(x - (-1))

y + 8 = 2(x + 1)

y + 8 = 2x + 2

Answer

B

Step-by-step explanation:

Took quiz

Answer:

1. 8t

2. 510 + 6t

3. 510 - 2t

Step-by-step explanation:

1. Since the hare moves at a speed of 8 metres per second, the distance it moves from the starting line is d = speed × time = 8t

2. Since the rabbit moves at a speed of 6 metres per second, and gets a head start of 510 metres, the distance it moves from the starting line is d = 510 m + speed × time = 510 + 6t

3. The distance the tortoise is ahead of the hare is thus, distance moved by rabbit - distance moved by hare in time, t.

d' = 510 + 6t - 8t

= 510 - 2t  

Answer:

Option (A)

Step-by-step explanation:

There are 2 main branches of statistics. They are:

1. Descriptive Statistics

2. Inferential Statistics

Descriptive statistics describes the characteristics of observed subjects or items while Inferential statistics makes inferences, based on given or derived data.

Inferential Statistics allow you to decide whether a difference between the experimental group and control group is due to manipulation or chance.

The Experimental group is the group that an effect is tested on while the Control group is the group that is left untested or uninfluenced. Inferential statistics allow you to decide whether a difference between these 2 groups is due to

- manipulation or interference by any force (which may be the experimenter/researcher)

or

- probability which is chance.

Option a. manipulation; chance

Inferential statistics is a statistical method for estimating the characteristics of a larger population from a small but representative sample. In other words, it enables the researcher to make generalizations about a larger group based on a smaller subset of that group.

Inferential statistics allow you to decide whether a difference between the experimental and the control group is due to a. manipulation; chance

For more information:

https://brainly.com/question/20982963?referrer=searchResults

Answer:

Step-by-step explanation:

[tex]nxy\div m\\\\n =3/4\\x =8\\y =6\\m=3\\\\\frac{3}{4} \times 8 \times 6 \div 3\\\\\mathrm{Divide\:the\:numbers:}\:6\div \:3=2\\=\frac{3}{4}\times \:8\times \:2\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:8=\frac{8}{1}\\=2\times \frac{3}{4}\times \frac{8}{1}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2}{1}\\=\frac{3}{4}\times \frac{8}{1}\times \frac{2}{1}\\\\Multiply\:fractions\\=\frac{3\times \:8\times \:2}{4\times \:1\times \:1}\\\\=\frac{48}{4}\\\\Simplify\\=12[/tex]

Answer:

it is 12

Step-by-step explanation:

3/4×8×6÷3=12

I HOPE this help plz mark me as brainliest

Answer: 2.333

Step-by-step explanation:

Subtract 5 from both sides of equation

Divide each side of equation by 3

Answer:

22.33

Step-by-step explanation:

x%(150)=33.5

x/100 x 150=33.5

x/2 x 3=33.5

x=2/3 x 33.5

x=67/3

x=22.33

Answer:

Click at the above pic and the ans will appear.

Hope it helps :)