1.
[tex]3 \times (12 - 4) = [/tex]
2.
[tex]22 - 4 \times 3 \div 6 = [/tex]
3.
[tex]11 + 3(4 + 2)[/tex]
4.
[tex]33 - 2(16 - 5)[/tex]

​

[tex]\bold{Highest\ Common\ Factor\ \ HCF\ of\ 60\ \& \ 96 }[/tex]

[tex]\bold{Finding\ your\ Prime\ Factorization \ in\ your\ given\ numbers!}[/tex]

[tex]\bold{60:2\times2\times3\times5}[/tex]

[tex]\bold{96:2\times2\times2\times2\times2\times3}[/tex]

[tex]\bold{Your\ Greatest\ Common\ Factor(GCF): 2\times2\times3}[/tex]

[tex]\bold{2\times2\times3}\\ \bold{2\times2=4}\\ \bold{4\times3=12}[/tex]

[tex]\boxed{\boxed{\bold{Answer: HCF \rightarrow \bold{\underline{12}}}}}\checkmark[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

1. 0, 2 π , π , 2 π/3 , 4 π/3

2. 7 π/6 , 11 π/6

Step-by-step explanation:

1. we want to find the value of theta

Let us represent theta by x for ease of documentation

So we have ;

sin 2x + sin x = 0

Mathematically;

sin 2x = 2sinxcosx

So;

2 sin x cos x + sin x = 0

sin x (2 cos x + 1) = 0

sin x = 0

or

2cos x + 1 = 0

x = arc sin (0)

within the given range;

x = theta = 0 , 2 π , π

For;

2 cos x + 1 = 0

2cos x = -1

cos x = -1/2

cos x = -0.5

x = arc cos (-0.5)

x = 2 π/3 , 4 π/3

2. cos 2 x = 1 + sin x

Mathematically;

cos 2 x = 1-2 sin^2x

let sin x = y

1-2y^2 = 1 + y

y = -2y^2

1 = -2y

y = -1/2

y = -0.5

sin x = y

sin x = -0.5

x = arc sin (-0.5)

x = 7 π/6 , 11 π/6

Answer:

-3/1 or just -3

Step-by-step explanation:

Answer:

ST = 3 units

Step-by-step explanation:

From the number line attached in the picture,

Distance of S from 0 = 7 units

Distance of T from 0 = 4 units

Therefore, distance between S and T = 7 - 4

ST = 3 units

[Note : Length of a segment is always positive so ST can't be negative]

Step-by-step explanation:

1 week = 7 days

Therefore 1 week = 60,000 letters

=> 7 days = 60,000 letters

=> 1 day = 60,000 / 7 = 8571.4... letters

Hence Obama receives around 8,571 letters per day.

Answer:

-35

Step-by-step explanation:

:D

Answer:

-20-15 = -35

Step-by-step explanation:

Answer:

$110,50

Step-by-step explanation:

Okay so I have done the whole process in the picture and the part where I said check I wanted to confirm my answer and it is correct, I hope you understand. This is the method I personally use because it is easier and makes more sense to me‍♀️.

Answer:

9 years

Step-by-step explanation:

Let the present age = x

Age 6 years ago = x - 6

Thrice my age 6 years ago = 3*(x -6) =3x - 3*6 = 3x - 18

Twice my present age = 2 *x = 2x

Thrice my age 6 years ago be subtracted from

twice my present age  = 2x -  (3x - 18)

2x - (3x - 18) = x

2x - 3x  + 18 = x                  

    -x  + 18 = x              {Add x to both sides}

             18 = x + x

              18 = 2x              {Divide both sides by 2}

           18/2 = x

x = 9 years

Answer:

ポイント

Step-by-step explanation:

ポイント

Answer:

it either 0,2 or 2,0

Step-by-step explanation:

Answer:

2 or 0

Step-by-step explanation:

(x-1)^2=x^2-2x+1

Answer:

3 5/9

Step-by-step explanation:

You make 4/9 a whole by adding 5/9 and you get 9/9 or 1 whole

you add the whole to 5 and get 6, then add 3 because 6+3=9

I hope this helps!!!!

Answer:

y = -x + 10 I believe.....

Answer:

1/16

Step-by-step explanation:

litterly just did it, and I got it right

Answer:

its 1/16 i got it right

Step-by-step explanation:

Answer:

1.  (8, 6)  2. (16/5, 16/5) = (3.2, 3.2)

Step-by-step explanation:

I have attached e graphs of the 2 triangles below respectively.

Answer:

d / 2

Step-by-step explanation:

Answer:

D. 11655

Step-by-step explanation:

First find the 90th term:

a90=a1+(n−1)d      

 = -4+89(3)=263

Then find the sum:

Sn = n(a1 + an) / 2

S90 = 90 (-4 + 263) /2

S90 = 23,310/2

S90 = 11,655

Answer:

900 + 12 x 30

Step-by-step explanation:

Hey there!

“2 (5x + 3)”

• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses

2(5x) + 2(3)

2(5x) = 10x ⬅️ FRONT number

2(3) = 6 ⬅️ BACK number

BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING

Answer: 10x + 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

10x+6

Step-by-step explanation:

you have to multiply 2 times 5 then 2 times 3 then multiply 10 times x and write 6 beside it.

Answer:

9 = x

Step-by-step explanation:

63 = 7x (Given)

9 = x (Divide 7 on both sides)

Answer:

9

Step-by-step explanation:

63 divided by 7 = 9

X=9

Answer:

8x + 4y

Step-by-step explanation:

6x + 2x + y + 3y

Combine like terms

(6x + 2x) + (y + 3y)

8x + 4y

Answer:

4(2x+y)

Step-by-step explanation:

Answer:

i looked up the whole question and this popped up

pay between $6 and $12 persquarw foot

sorry if its wrong. Good day

Answer:

[tex]→ \sqrt[4]{81 {x}^{8} {y}^{4} } \\ = {81}^{( \frac{1}{4})} {x}^{ (\frac{8}{4})}{y}^{ (\frac{4}{4})}\\= \boxed{3 {x}^{2} y}✓[/tex]

Answer:

1386.66666667

Step-by-step explanation:

i beleive this is the correct answer

60.2

Step-by-step explanation:

a^2 + b^2 = c^2

40^2 + 45^2 = c^2

1600 + 2025 = c^2

3625 = c^2

the square root of 3625 is 60.2

Answer:

60.2 metres

Step-by-step explanation:

Pythagoras formula = square of b plus squar of c = square of a

let b be 40 and let c be 45

40^2 + 45^2 = a^2

1600 + 2025 = a^2

3625 = a^2

square root of 3625 = a

60.2 meters = a

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

12/1/2 - (-4/1/2) becomes 12 1/2 + 4 1/2 after simplification.  Note that 12/1/2 is invalid.

Combining 12 1/2 and 4 1/2 yields 17.

Answer:

Area=180.5 sq in

Step-by-step explanation:

(7x9.5x.5x2)+(12x9.5x.5x2)=Area

66.5+114=Area

Area=180.5 sq in

Answer:

x = 107

Step-by-step explanation:

The exterior angle and the interior angle make a supplementary angle.

This means it is 180°. Knowing this, we can solve for x:

73 + x = 180

x = 107

Therefore, x = 107.

3 batches of chocolate chip with 2 cups per batch is 6 cups total for the chocolate chip cookies.

Subtract the total needed for the chocolate chip from the total flour used, then divide the remaining amount by number of batches of oatmeal

Cookies.

The problem show 122 total cups, but I don’t think that is right... what is the actual total cups used?