One way to divide decimal numbers is to use an equivalent expression.

Complete the statements below to explain one way to find 8.4 ÷ 2.1.

Answer:

c = 4

Step-by-step explanation:

Simplifying

3c + 6 = 18

Reorder the terms:

6 + 3c = 18

Solving

6 + 3c = 18

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3c = 18 + -6

Combine like terms: 6 + -6 = 0

0 + 3c = 18 + -6

3c = 18 + -6

Combine like terms: 18 + -6 = 12

3c = 12

Divide each side by '3'.

c = 4

Simplifying

c = 4

Answer:

Step-by-step explanation:

subtract six from both sides

3c+6-6=18-6

simplify

3c=12

divide both sides by 3

3c/3 =12/3

c=4

9514 1404 393

Answer:

  a.  21

Step-by-step explanation:

The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.

  x^2 +20^2 = 29^2

  x^2 = 841 -400

  x = √441

  x = 21

__

Alternate solution

The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...

  x^2 = 9(49)

  x = (√9)(√49) = 3·7

  x = 21

Answer:

Add 3 after multiplying 1 and x.

Step-by-step explanation:

In this question we have to convert the given algebraic expression into a verbal expression.

Given algebraic expression is,

y = x + 3

Here, x is multiplied by 1

And 3 is added to x.

Therefore, verbal expression or statement will be,

Add 3 after multiplying 1 and x.

This rule defines the relationship between x and y.

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

Answer:

Less Than or Equal to

Step-by-step explanation:

In mathematics and computer science, the floor and ceiling functions map a real number to the greatest preceding or the least succeeding integer, respectively. floor(x) : Returns the largest integer that is smaller than or equal to x (i.e : rounds downs the nearest integer).

Answer:

Answer A

Step-by-step explanation:

Evaluate f(x) = -2x^2 - 3 at each element in {-1, 2, 5}:

f(-1) = -2(-1)^2 - 3 = -5

f(2) = -11

f(5) = -53

These results match the outputs in Answer A.

Answer:

62  

Step-by-step explanation:

because the total angle is 180 and SPR is 118, so when you subtract 180 - 118 you get 62

Answer:

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

               aₙ = (n + 1)² = n² + 2n + 1

Answer:

70 degrees total degree 540

Answer:

1/2 ; 7/10

Step-by-step explanation:

1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2

2) we have 7 non black parts in a total of ten parts, so the odd is 7/10  

I) what percentage of students finished the race in less than 12 seconds:

number of students who finished before 12 seconds= 16

total number of students= 20

% = (16×100)20 = 80%

ii) B.3

Answer:

number 5 is D

and number 6 is C

Answer:

just use a lest to greatest calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8.  Use the Pythagorean Theorem to find the length of the hypotenuse:  

length of hypotenuse = +√(8² + 12²) = √208 = 4√13  (Answer A)

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

Answer:

32

Step-by-step explanation:

yr

Answer:

24 + 121

Step-by-step explanation:

w=wristband.

h=headband

Total wristbands:-

[tex]\\ \sf\longmapsto 12(2)=24[/tex]

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

9514 1404 393

Answer:

  7u -63

Step-by-step explanation:

The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.

  (u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

(u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

106°

Step-by-step explanation:

By exterior angle theorem:

[tex]m \angle \: 1 = 62 \degree + 44 \degree \\ \\ m \angle \: 1 = 106 \degree[/tex]

Step-by-step explanation:

Let the unknown angle in the triangle be x.

x + 44 + 62 = 180(sum of angles in a triangle)

x + 106 = 180

x = 180 - 106

x = 74

Angle 1 + x = 180 (Sum of angles on the same straight line)

angle 1 + 74 = 180

Angle 1 = 180 - 74

= 106

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so [tex]a^2+b^2=c^2[/tex]

we have a and b

[tex]15^2+15^2=c^2[/tex]

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

Answer:

Katie needs 6 crepe rolls.

Step-by-step explanation:

Hello!

Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.

There are a couple of steps in order to solve this.

Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!

Answer:

2 haha

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Hi! The answer to your question is A. [tex]Y= -10[/tex]!

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!!

Stay Safe!!

- Brooklynn Deka

Answer:

-7

Step-by-step explanation:

20 - 3 (-5 + 2)^2

20 - 3 (-3)^2

20 - 3(9)

20 - 27

-7

Answer:

8.721 x 10^4

Step-by-step explanation:

hope this helps:)

Answer:

The first term in the resulting subtraction expression is 96.

Step-by-step explanation:

Given - After applying the distributive property to the expression 8(12-4) and then multiplying

To find - What will be the first term in the resulting subtraction expression ?

Proof -

Given the expression is -

8( 12 - 4) = 8(12) - 8(4)

              = 96 - 32

⇒8( 12 - 4) = 96 - 32

So,

The first term in the resulting subtraction expression is 96.

Answer:

1,102.7cm³

Step-by-step explanation:

πr²[tex]\frac{h}{3}[/tex]

3.14x9^2x[tex]\frac{13}{3}[/tex]= 1102.7cm³

1102.7 to nearest tenth= 1102.7cm³

Answer:

A

Step-by-step explanation:

B is wrong because the big one has two curve

C is wrong because the smallest one is not in the same position

D is wrong because the middle line of the biggest one is than the middle line of the smallest one