MATHEMATICS HIGH SCHOOL

joannna baked some cookies. She tried to divide them evenly between two plates,then three plates and finally four plate. Each time, she had one cookie left over. How many cookies did Joanna bake? (A)10 ( B) 13 (C) 11 (D) 9 (E) 12​

Answers

Answer 1
Answer:

Answer: 13 cookies

Step-by-step explanation: 13 divided by 2 is 6 with a remainder of 1. 13 divided by 3 is 4 with a remainder of 1. 13 divided by 4 is 3 with a remainder of 1.
Answer 2
Answer:

Answer:

B

Step-by-step explanation:

Divide each option by 4.

13/4= 3.25

.25 x 4 =1(whole cookie)

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Solve the equation for y6x+y=5
What are the solutions of 3x^2 +6x +15 =0
Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.|2x + 5| = 3
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied?First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30 The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 3 and the second equation by −5. The first equation should be multiplied by 9 and the second equation by 4. The first equation should be multiplied by 9 and the second equation by −4.
What is the equivalent ratio of 6:3

Choose all the numbers that 116 is divisible by.2
3
4
5
6
9
10

Answers

2,4, only two of these.
Only 2 and 4 are divisible by 116 i think

Find an exact value cos(19pi/12)

Answers

cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}

Step-by-step explanation:

We know that

          cos 2x = 2cos²x - 1

So we have

          cosx=\sqrt{(1+cos2x)/(2)}

Substituting x=(19\pi)/(12)

         cos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos2\left ( (19\pi)/(12)\right ))/(2)}\n\ncos\left ( (19\pi)/(12)\right )=\sqrt{(1+cos\left ( (19\pi)/(6)\right ))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1+cos570)/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(1-(√(3))/(2))/(2)}\n\ncos\left ( (9\pi)/(12)\right )=\sqrt{(2-√(3))/(4)}\n\ncos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}

   cos\left ( (9\pi)/(12)\right )=\frac{\sqrt{2-√(3)}}{2}
19 π / 12 = 19 * 180° / 12 = 285 °
cos ( 19 π / 12 ) = cos 285° = cos ( - 75° ) = cos 75°
cos 75° = cos ( 45° + 30° ) = cos 45° cos 30° - sin 45° sin 30° =
= ( √2 / 2 · √3/2 ) - ( √2 / 2 · 1/2 ) = √6/4  - √2/4 =
= ( √6 - √2 )/ 4

How many solutions does the following system of linear equations have? y=-6x+6
y=5x+1

Answers

2 this is right because 6 +1 and 6x 5x

Tickets for a school play cost $4 for adults and $2 per students. At the endof the play,the school sold 105 tickets and collected $360. -write a linear system that models the situation.
-find the number of adult and students tickets sold.

Answers

4x+2y=360
x+y=  105 => 4x+4y= 4*105= 420
                    4x+2y =360
-----------------------------------------
                    4y-2y = 420-360= 60
                     2y   = 60    => y= 60:2=30 => x= 105-30=75
Verify 4*75+2*30= 300 + 60 = 360
First set your variables: let x be the number of adult tickets and let y be the number of student tickets. Now when you write 4x it will say how much money came from adult tickets, and 2y will do the same for students. 4x+2y= the amount of money collected.
4x+2y=360
Solve the above equation for x and y and that will give you the number of tickets sold.

If f(x) = 1 – x, which value is equivalent to |f(i)|?a. 0
b. 1
c. √2
d. √-1

Answers

If you would like to know which value is equivalent to |f(i)|, you can calculate this using the following steps:

f(x) = 1 - x
|f(i)| = |1 - i| = sqrt((1-i) * (1-i)^conjugate) = sqrt(2) = √2

The correct result would be c. √2.

Answer:

The answer is c

Step-by-step explanation:

6 children need to share 5 breakfast bars Divide bars into correct numbers of equal parts then tell the fraction each kid will get

Answers


-- Carefully cut each bar into  6  equal pieces.
   There are  (5 x 6) = 30 pieces all together.
   Each piece is  1/6  of a bar.

-- Each child gets  5  of the pieces.
   That's the same as  5/6  of a whole bar.
   (6 children) x (5 pieces) = 30 pieces.    It works out.  yay !
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