Three friends were at a festival together and they won 20 small prizes. They decided to split the prizes as evenly as possible. How many prizes will they each get?

Step-by-step explanation:

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4. 

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

-i

Step-by-step explanation:

i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)

Answer:

Its A   x=2

Step-by-step

so i told siri pick a number 1-4 and she picke 1 and it was right so good luck

Answer: x = 2

Step-by-step explanation:

got it right

Answer:

230 for Daughter and son each

Step-by-step explanation:

for apples=he spend Rs 300

sugar=Rs 240

Rs 1000

then remaining is 460 divided equally is

230 for each

love maths!

Answer:

-7.11111111111

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{27}{5} = \frac{4}{x} \\ 27 \times x = 4 \times 5 \\ 27x = 20 \\ \frac{27x}{27} = \frac{20}{27} \\ x = \frac{20}{27} [/tex]

Answer:

20 and 21

Step-by-step explanation:

424 = 400 + 20 + 4. √400 = 20, as √4 = 2

21² = (20 + 1)² = 400 + 40 + 1 = 441 > 424.

Answer:

x = 7 would be the correct answer to your question.

I hope this helped! :D

Answer:

the answer is:

997+2=999 so all you would have to do is multiply 997 and 2

Let the small , medium and large baskets be denoted by s,m & l

Formulating the equations

s+m+l= 80--------- equation1

$15.75s+ $25 m + $32.5l = $2086.25------equation2

2s=l---------equation 3

Using the technology  s=15, m=35 and l= 30

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

2(15)=(30)---------equation 3

Yes because multiple variables can be easily calculated through matrices using technology

In Matrix form

[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]     = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]

Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]    

B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]

Z= A⁻¹ B

A⁻¹= A mod/ det A

det A= -1

Using the technology  s=15, m=35 and l= 30

15 small baskets,

35 medium baskets

30 large baskets were sold.

Part C:

15+35+30= 80--------- equation1

$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2

236.25+ 875+ 975=$2086.25

$2086.25=$2086.25

2(15)=(30)---------equation 3

Answer 2:

Yes because multiple variables can be easily calculated using technology.

N.B There is a typing error in question its $2086.25 not 52086.25

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

Answer:

10+4x+11=x²-10+10 (add 10 both side)

21+4x-4x=x^2-4x  (substract 4x in both side)

21-21=x^2-4x-21 (substract 21 in both side)

x^2-4x-21=0

x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)

x(x+3)-7(x+3)=0 (get common factor)

(x+3)(x-7)=0 (get common factor which is (x+3) by both)

x=-3 or x=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Students traveled in buses:

Number of students in each bus:

Students travelled in bus:-

[tex]\\ \rm\longmapsto 226-10=216[/tex]

Students in each bus

[tex]\\ \rm\longmapsto \dfrac{216}{8}[/tex]

[tex]\\ \rm\longmapsto 27[/tex]

Answer:

0.72

Step-by-step explanation:

hope that helps!

Answer:

766?

Step-by-step explanation:

Answer and Step-by-step explanation:

Three Digit Number.

***

Second digit = Last digit

*xx

I multiplied 45 from numbers 1-23, with 22 being the maximum # to multiply to get a 3 digit number that is divisible by 45, and 3 being the minimum # to multiply to get a 3 digit number that is divisible by 45.

Now to check which number it is.

When you multiply 45 by 17, you get 765. This number is supposed to be 1 less than the riddle's number. It also has to have the last 2 digits be the same.

So, lets add one to 765 to see if we solved the riddle.

765 + 1 = 766

766 is the answer!

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

f(x) = x × 0.12 if  15,000 ≤ x ≤ 30,000

        x × 0.18 if  x ≥ 30,000

Step-by-step explanation:

I. When 12% is 12/100 = 0.12

 and 18% is 18/100 = 0.18

Answer:

12 cm squared

Step-by-step explanation:

1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):

113.1 cm / 3.14 = 36.00084813

2. What you get is the radius which you have to square:

36.00084813 squared = 6.000070677

3. Now you double the radius in order to get the diameter:

6.000070677 x 2 = 12.00014135

12.0 cm squared

Answer:

Any value you choose for x will make the equation a TRUE statement.

Answer:

50%

Step-by-step explanation:

Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.

1/2

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

Answer:

-7

Step-by-step explanation:

9514 1404 393

Answer:

  52 minutes

Step-by-step explanation:

Streaming Haunted Cave videos used the battery at the rate ...

  (76% -16%)/(3·30 minutes) = 60%/(90 minutes) = (2/3)% per minute

Playing Top Pop used the battery at the rate ...

  (63% -59%)/(24 minutes) = (4/24)% per minute = (1/6)% per minute

The remaining charge (in percent) after x minutes for Jorge's phone will be ...

  J = 55 -2/3x

The remaining charge for Samantha's phone will be ...

  S = 29 -1/6x

We can find the value of x that makes these equal:

  J = S

  55 -2/3x = 29 -1/6x

  26 = 1/2x . . . . . . . . . . . . . . . add 2/3x -29 to both sides

  52 = x . . . . . . . . . . . multiply by 2

It will be 52 minutes before the two phones have the same battery level.

Answer:

52/15 or 3 7/15

Step-by-step explanation:

2 3/5 divide 3/4

13/5 divide 3/4

13 x 4/5 x 3

52/15

3 7/15

Answer:

3 [tex]\frac{7}{15}[/tex]

~~~~~~~~~~~

[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]

[tex]\frac{52}{15}[/tex]

3 [tex]\frac{7}{15}[/tex]

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:

6 = x - (-8)

6 = x + 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:

6 (-8) = x + 8 (-8)

6 - 8 = x

x = 6 - 8

x = -2

-2 is your missing value.

~

Hey there!

6 = ____ - (-8)

• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown

x - (-8) = 6

x + 8 = 6

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 6 - 8

CANCEL out: 8 - 8 because that gives you 0

KEEP: 6 - 8 because that helps solve for the x-value

x = 6 - 8

6 - 8 = x

x = -2

Answer: -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90                Combine like terms

10x + 10 = 90                           Subtract 10 on both sides

10x = 80                                   Divide both sides by 10

x = 8

Answer:

x = 8

Step-by-step explanation

Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.

7x + 17 + 3x - 7 = 90 Combine like terms

10x + 10 = 90 Subtract 10 on both sides

10x = 80 Divide both sides by 10

x =8

Answer:

a = 3

Step-by-step explanation:

We can start by cross multiplying, which is a method to help solve proportions. We get:

5 * a = 3 * (a + 2)

Now, we can distribute the 3 and solve:

5a = 3a + 6

-3a  -3a

2a = 6

/2    /2

a = 3

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]a \times 5=(a+2) \times 3[/tex]

[tex]5a=(a+2) \times 3[/tex]

[tex]5a=3a+6[/tex]

[tex]5a−3a=6[/tex]

[tex]2a=6[/tex]

[tex]a = 3[/tex]

Answer:

[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]

from difference of two squares:

[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]

[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]

hence proved