match each division expression with the correct quotient ​

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

Answer:

4√2

Step-by-step explanation:

If a square has a perimeter of 16,  then its side lengths are 4.

Use the pythagorean theorem to find the diagonal.

√32 can be simplified to 4√2.

The length of the diagonal of the square whose perimeter is 16 is 4√2

What is diagonal of the square?

The length of a diagonal is equal to the length of a side multiplied by the square root of 2

Given data ,

Let d be the diagonal of a square

Perimeter of square = 16

Perimeter of square = 4 x A

16 = 4 x A

A = 4

Therefore , diagonal of square is = 4√2

Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Apparently, you're being asked to identify the sequence of steps you would use to compute the volume of the pyramid.

It seems to be a good idea to start with the formula for the volume.

Then, recognize that you need to compute B, so make that computation. The area of the base (B) is the product of the base dimensions (14)(12).

Once you have the value of B, then you can put that, along with the value of h, into the original volume formula.

Evaluating it gives the volume in cubic units.

_____

Additional comment

If you're familiar with the pyramid volume formula, you know that you must compute B before you can make use of the formula. That makes the sequence be B=14(12); B=168; V=1/3Bh; V=1/3(168)(7).

However, if you're starting from scratch, it is probably good to begin with the volume formula. That is what tells you that you need to find B in the first place. This is the sequence we show below.

Answer:

the  total square inches of the construction paper is 351.63 square inches

Step-by-step explanation:

The computation of the total square inches of the construction paper is shown below;

= (16 × 15 1 ÷ 4)  + (10 1 ÷2 × 10  1 ÷ 4)

= (16 × 61 ÷ 4) +  (21 ÷ 2 × 41 ÷ 4)

= (16 × 15.25) + (10.5 × 10.25)

= 244 + 107.625

= 351.63 square inches

Hence, the  total square inches of the construction paper is 351.63 square inches

We simply added these two

Answer:

13

Step-by-step explanation:

60 - 47 = 13

Answer:

2 7/8 hours

Step-by-step explanation:

Answer:

2hrs 12 mins

Step-by-step explanation:

5hrs = 5x = 1600  question asks us to find 680

2 1/2x + 680-640 =-x + 2.8hrs

2x + 40 = x + 2.8hrs

2x + 40 = 680

Then use the 2.8 to convert into hrs : minutes ie) 0.8 x 60

0.8  *  60 = 48 minutes

Then go back to  x  + 2.8hrs = x + 2hrs 48mins

2x + 48 = 60

2x + 48 = 60

2x+ 60 - 48  

x = 2:12 hours

Answer:

1 5/12  i think im sorry if i get it wrong.

Step-by-step explanation:

Answer:

54.3

Step-by-step explanation:

4/3 x pi x 2.35^3

Answer:

no worries :)

Step-by-step explanation:

Answer:-45

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

2-8 you need to minus the first number

Answer:

x = 4

Step-by-step explanation:

Given a tangent and a secant from an external point, then

square of the hypotenuse is equal to the product of the external part and the entire secant, that is

DB × CB = AB² , that is

9x = 36 ( divide both sides by 9 )

x = 4

Answer:

1 × 10⁻⁵

Step-by-step explanation:

Answer:

The minimum value would be -4.

Answer:

1. w+24=42

2. 18

Answer:

not 100% but choose w+24=42 and 18 pounds for the box

Step-by-step explanation:

if its 42 pound i total and they told yoy the amount they have for the honeycrisp subtract 42 -24 = 18. 18 is the amount of golden appels

Answer:

its just exaplining how does this exrcise work example 1^1 would be 1x1/

1^3          1x1x1x1/      3^5       3x3x3x3x3/     3x3=9 9x3 =27 27x3 =81    81x3=243

Step-by-step explanation:

Answer:

49,088

Step-by-step explanation:

First you need to find 5.6% of 52,000. Simply multiply 52,000 by 0.056 (change the percent to a decimal) then you get 2,912.

Second, you need to subtract 2,912 from 52,000 which is 49,088

Answer:

1

Step-by-step explanation:

Answer:

b is the cprrect answer

Step-by-step explanation:

please mark this answer as brainliest

Answer:

c

Step-by-step explanation:

Answer:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

Step-by-step explanation:

Reflecting a shape across the y-axis means that the y value of the coordinate of the points would reverse its sign, meaning for eg a negative number would turn into a positive one or a positive would turn into a negative.

So in this case, point R would stay the same because it's on the y-axis but the two points A and N would change. Point A is (-6,2) so if we change the y coordinate we would get (-6,-2) and point N is (-1,3) so it would become (-1,-3). Therefore the answer is:

Point R: (-2,0)

Point A: (-6,-2)

Point N: (-1,-3)

diagonals of a parallelogram bisects each other making an angle of 90°.

so, your answer is True

Answer:

A. True

Step-by-step explanation:

The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.

Answer:

3rd option is correct, give me brainiest

Answer:

Q.3 area of circle=pi×r²

area of circle=3.14×(9mm)²

area of circle =254.34mm²

Q.6 area of circle= 3.14×(1.5in)²

area of circle =7.065in²

Answer:

wait what was the question gsdnABNEfglaabgjggse?????

Step-by-step explanation:

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation:

Answer:

[tex]\sqrt[4]{100}[/tex]

Step-by-step explanation: Hope this helped

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

Answer:

8 is the length

Step-by-step explanation:

The length of AD is 9 units from the given right triangle ABC.

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

Given right triangle ABC with altitude BD drawn to hypotenuse AC.

Given that, AB = 18 and AC = 36

Using Pythagoras theorem

AC²=AB²+BC²

⇒ 36²=18²+BC²

⇒ BC²=1296-324

⇒ BC²=972

⇒ BC=31.18 units

We know that, area of a triangle =1/2 × Base × Height

= 1/2 × 31.18 × 18

= 280.62 square units

Now, area of a triangle ABC with base AC and height BD

That is, Area = 1/2 ×36×BD

⇒ 18BD=280.62

⇒ BD=280.62/18

⇒ BD=15.6

Consider ΔBDA

AB²=AD²+BD² (Pythagoras theorem)

18²=x²+15.6²

⇒ x²=18²-15.6²

⇒ x=9 units

Therefore, the length of AD is 9 units from the given right triangle ABC.

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