art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

Answer:

Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Step-by-step explanation:

let Amirah =x

let Priya = y

let Shirley = s

so we have

x= 4+y

s=y-2

x+y+s =47

we have x= 4+y

4+y+y+s=47

4+2y+s=47

2y+s=43

s-y=-2 (MULTIPLY BY NEGATIVE 1)

y-s =2

2y+s= 43

by solving simultaneously we get

3y= 45

y=15

x= 4+y

x=19

s=y-2

s= 13

so Priya is 15 years old

Amirah is 19 years old and

Shirley is 13 years old

Answer:

d.) half-plane..

Reason:

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Answer:

B and C

Step-by-step explanation:

I think that this is right.

A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.

Answer:

72

Step-by-step explanation:

The order of rotational symmetry of a regular pentagon is 5.

To find the angle of rotation we divide 360 by the number of sides

360/5=72

so the angle of rotation is 72 degrees.

Step-by-step explanation:

1.) 630

2.) 13020

3.) 361

4.) 244

Answer:

Elder brother: 25

Younger brother: 5

Step-by-step explanation:

38 - (4+4)= 30

Now trial all square numbers

e.g 2 + 4 = 6 (does not work)

5 + (5x5)= 30

Answer: D

Step-by-step explanation: The answer wouldn't be A because all the information is there, B is out because the question tells you there is a correlation between the two, and C is out because it has a more negative affect than positive.

Answer:

$51.63

Step-by-step explanation:

Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.

258.14 / 5 ≈ 51.63

Answer:

k = 5/2

Step-by-step explanation:

.....................

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

A' (-2,-4) B' (-3,-7) C' (-1,-8) D' (1,-6)

Step-by-step explanation:

Just take it one point at a time and move each point down 3 and 4 left. Prime notation just means to put this little sign ' so it indicates that this is the new coordinate. So A was (2,-1) and A' (the new one) is (-2,-4)

Answer:

24 inches

Step-by-step explanation:

Answer:

2 feet long

Step-by-step explanation:

12 inches in a foot

30-6=24

24 inches=2 feet

Answer:

The area of the circle is 113.097

Hope this helped!

Please give brainliest if it helped!

Answer: option D

Step-by-step explanation: just did it

C was wrong and showed option D was the correct answer

Answer:

Its slope is

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

y = -2x + b

Get b from the given point.

-4 = -2(6) + b

b = 8

y = -2x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given slope (m) = -3/4

and x1 = 6

and y1 = 4

Solve for b (y2) using x2 = 0.
m = -3/4 = (y2-y1)/(x2-x1)

-3/4 = (4-y1)/(6-0)

-3/4 = (4-y1)/6

-(3/4)*6 = 4 - y1

-18/4 = 4 - y1

y1 = b = 16/4 + 18/4 = 34/4 = 8 1/2

therefore the correct answer should be:

Equation of the line:

y = -3/4x + 8 1/2

Answer:

True.

We can see that the line goes through (0, 0), however, the line is not dotted, therefore that point is included. (0,0) also coincides with the other inequality, which means that (0, 0) is a solution.

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

Answer:i dont know :(

Step-by-step explanation:

im sorry :(

Answer:

1. true

2. false

3. false

4. false

Step-by-step explanation:

hope this helps

please mark brainiest

please give 5 stars

thank you

theres no diagram given

Answer:

7

Step-by-step explanation:

Answer:

[tex](a)[/tex] [tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

[tex](b)[/tex] [tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

(c) Addition and Quotient identity

Step-by-step explanation:

Given

[tex]\frac{2sec\theta}{csc\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex] --- The expression missing from the question

Solving (a): Write the left hand side in terms of sin and cosine

In trigonometry:

[tex]sec\theta = \frac{1}{cos\theta}[/tex]

and

[tex]csc\theta = \frac{1}{sin\theta}[/tex]

So, the expression becomes:

[tex]\frac{2 * \frac{1}{cos\theta}}{\frac{1}{sin\theta}} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

[tex]\frac{\frac{2}{cos\theta}}{\frac{1}{sin\theta}} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

Rewrite as:

[tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

Solving (b): Simplify

[tex]\frac{2}{cos\theta}/\frac{1}{sin\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

Change / to *

[tex]\frac{2}{cos\theta}*\frac{sin\theta}{1} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

[tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

Solving (c): The property used

To do this, we need to further simplify

[tex]\frac{2sin\theta}{cos\theta} + \frac{4sin\theta}{cos\theta} =6tan\theta[/tex]

Take LCM

[tex]\frac{2sin\theta+ 4sin\theta}{cos\theta} =6tan\theta[/tex]

Add the numerator

[tex]\frac{6sin\theta}{cos\theta} =6tan\theta[/tex]

Apply quotient identity

[tex]\frac{sin\theta}{cos\theta} = tan\theta[/tex]

This gives

[tex]\frac{6sin\theta}{cos\theta} = 6tan\theta[/tex]

Hence, the properties applied are:

Addition and Quotient identity

Answer:

2000

Step-by-step explanation:

1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams

The word kilo means thousand in Greek and i think French

:)

Answer:

2,000 grams :)

Answer:

R" (0,3)

S" (1,1)

T" (4,2)

Step-by-step explanation:

The reflection of the point (x, y) across the x-axis is the point (x, -y).

Translate right 4- add 4 to the x coordinate

R ( -4, -3 )    R' ( -4 , 3)    R" ( 0 , 3)

S ( -3, -1)      S' (-3 , 1)      S"  ( 1 , 1)

T ( 0 , -2)     T' (0, 2)       T" ( 4 , 2)

Answer:

1. Has been answered below

2. Degree of freedom is 4

Step-by-step explanation:

Row 1: 12+10+18 = 40

Row 2: 14+18+13 = 45

Row 3: 66+142+210 = 418

Grand total = 40+45+418 = 503

Column 1 : 12+14+66 = 92

Column 2: 10+18+142 = 170

Column 3: 18+13+210 = 241

Total = 92+170+241 = 503

Expected frequencies of diseased workers

92x40/503 = 7.316

170x40/503 = 13.52

241 x 40/503 = 19.165

Expected frequencies of sensitized workers

92x45/503 = 8.23

170x45/503 = 15.20

241x 45/503 = 21.56

2.

Degree of freedom

= (Number of row -1)(number of column - 1)

= 3-1 * 3-1

= 2x2

= 4

Answer:

[tex]\huge\boxed{\tt{\frac{8}{63} }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{8}{9} * \frac{1}{7} \\\\= \frac{8*1}{9*7} \\\\= \frac{8}{63} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu