A box of ceral contains 10 cups . if each bowl holds 1 1/4 cups of cearal. how many bowls of ceral will you get out of the box

Answer:

subtraction of 6 3/4 from 24 3/4

Step-by-step explanation:

24 3/4 - 6 3/4 = 18

sin(x - 20)° = cos(5x - 10)°

Expand 5x - 10 in terms of x - 20:

5x - 10 = 5x - 100 + 90

… = 5 (x - 20) + 90

and recall that for all θ, cos(θ + 90)° = - sin(θ)°, so

sin(x - 20)° = cos(5 (x - 20) + 90)°

sin(x - 20)° = - sin(5 (x - 20))°

Replace (x - 20)° = y ° to make this a bit easier to read:

sin(y °) = - sin(5y )°

Expand the right side in terms of powers of sin:

sin(5θ) = 5 sin(θ) - 20 sin³(θ) + 16 sin⁵(θ)

so the equation becomes

sin(y °) = -5 sin(y °) + 20 sin³(y °) - 16 sin⁵(y °)

16 sin⁵(y °) - 20 sin³(y °) + 6 sin(y °) = 0

Replace z = sin(y °) to get a polynomial equation:

16z ⁵ - 20z ³ + 6z = 0

Factorize the left side:

2z (8z ⁴ - 10z ² + 3) = 0

2z (2z ² - 1) (4z ² - 3) = 0

Solve for z :

• 2z = 0   →   z = 0

• 2z ² - 1 = 0   →   z ² = 1/2   →   z = ± 1/√2

• 4z ² - 3 = 0   →   z ² = 3/4   →   z = ± √3/2

Solve for y in each case above:

• z = sin(y °) = 0   →   y = 0 + 360n   or   y = 180 + 360n

(where n is any integer)

These solutions can be combined into one family, y = 180n.

• z = sin(y °) = -1/√2   →   y = 225 + 360n   or   y = 315 + 360n

• z = sin(y °) = 1/√2   →   y = 45 + 360n   or   y = 135 + 360n

These solutions can also be combined, y = 45 + 90n.

• z = sin(y °) = -√3/2   →   y = 240 + 360n   or   y = 300 + 360n

• z = sin(y °) = √3/2   →   y = 60 + 360n   or   y = 120 + 360n

These can be combined as y = 60 + 180n or y = 120 + 180n.

Solve for x in each case:

• y = x - 20 = 180n   →   x = 20 + 180n

• y = x - 20 = 45 + 90n   →   x = 65 + 90n

• y = x - 20 = 60 + 180n   →   x = 80 + 180n

• y = x - 20 = 120 + 180n   →   x = 140 + 180n

Answer:

the sentence that says 42 ÷ 7 = 6

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

117°

Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!

Answer:

Step-by-step explanation:

Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Answer:

24 in

Step-by-step explanation:

5in + 4in + 9in + 5in + (4in - 3in) = 24in

Answer:

MARK HIM BRAINLIEST

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

sqrt 40 = 6.3

6.3 round to the nearest ten is 10

9514 1404 393

Answer:

  6.3

Step-by-step explanation:

Almost any calculator can tell you the square root of 40 is about 6.324555...

Rounded to the nearest tenth, that is √40 ≈ 6.3

Answer:

464 kg butter

Step-by-step explanation:

45% of 320 kg - 144

320+140-464

Answer:

1 hour is 60 min so

90 min = 1 hour and 30 min

or 1.5 hours

Answer:$2.36

Step-by-step explanation:

2.95 x .8 = 2.36

Answer: 40 minutes

Step-by-step explanation:

2/5 = .4 so it would be 40 minutes

Answer:

hey

Step-by-step explanation:

pls help me then i help u

Answer:

SA of the sphere is 1333.17 and SA of the circle is 333.29

Step-by-step explanation:

Answer:

Step-by-step explanation:

5/2% is in the fraction form

520 is the decimal form

hope this helps

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

Answer:

AD means after death and BC means before christ

Step-by-step explanation:

multiply the outer term to the inner term

so, 6x-10.

Hello.

Let's use the Distributive Property to simplify the given expression.

Remember, the Distributive property states that

a(b+c)=ab+ac

Now, let's simplify our expression:

2(3x-5)

6x-10

This is the simplified answer; we can't simplify it anymore.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

The answer is:

[tex] \frac{14}{59} [/tex]Decimal form is 0.2372 is infinity

Explication:

7(2x +2 )= 73x (Remove the parentheses and sort out 7 and solve for each number that is in the parentheses)

14x+14=73x

14x=73-14

-59x=-14

Both sides are divided by -59 but the -59 / -59 is canceled

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !

Answer:

(7,5)

Step-by-step explanation

8 - 3 = 5 so (7,5)

Answer:

Any number between 1.88-1.12

Step-by-step explanation:

1.88 or 1.12

for instance 1.9 , 1.92 ,1.93 1.94 ,1.95,1.96,1.97,1.98,1.99,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,1.91

There are infinite numbers because it is real number

Answer:

E) Alternative & Hip Hop

Step-by-step explanation:

A subgenre of hip hop music that encompasses a wide range of styles that are not typically identified as mainstream. AllMusic defines it as follows: "Alternative rap refers to hip hop groups that refuse to conform to any of the traditional stereotypes of rap, such as gangsta, bass, hardcore, pop, and party rap. Instead, they blur genres drawing equally from funk and pop/rock, as well as jazz, soul, reggae, and even folk."[2]

Answer:

Step-by-step explanation:

4/5

Answer:

The correct answer would be 6000.

Step-by-step explanation:

To round decimal numbers to the nearest thousand, consider the last four digits that should be modified to the nearest thousandth number.