Which digit correctly completes the
comparison below?
21.851 < 21.?05
A. O
B. 5
C. 8
D. 9

An equation is formed of two equal expressions. The solution of the equation √(x+12)=x is x=4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation √(x+12)=x can be done as,

[tex]\sqrt{x+12} = x\\\\\text{Square both the sides of the equation}\\\\x+12=x^2\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0[/tex]

Equate each of the factors with 0,

[tex](x-4)=0\\x=4\\\\(x+3)=0\\x=-3[/tex]

Now, if we substitute the value of x in the equation given, only the value of x as 4 will satisfy the equation.

Thus, the solution of the equation √(x+12)=x is x=4.

Learn more about Equation:

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Answer:

3 out of 4 I think

Step-by-step explanation:

because the total amount is 4 so there's a 3/4 chance youll get less than 4

Answer:

Area of composite shape = 36 square units

Step-by-step explanation:

Area of composite shape:

Rectangle I:

      Length = 3 units

     width   = 6 - 4 = 2 units

Area of rectangle I = length *width

                                = 3* 2

                                = 6 square units

Rectangle II:

     length = 6 units

     width = 5 units

Area of rectangle II = 6 * 5

                                = 30 square units

Area of composite shape = area of rectangle I + area of rectangle  II

                                          = 6 + 30

                                           = 36 square units

All sides add up to the perimeter. The perimeter of the kite is 27 units then the correct option is C.

It is concerned with the geometry, region, and density of various 2D and 3D forms.

The Pythagoras theorem will determine the kite's length (x).

H² = P² + B²

H² = 15² + 8²

H² = 225 + 64

H² = 289

 H = 17

Then

[tex]\rm x = \dfrac{H}{2} \\\\x = \dfrac{17}{2}\\\\x = 8.5[/tex]

And another length of the kite is 5 units.

Then the perimeter of the kite will be

Perimeter = 2(8.5 + 5)

Perimeter = 27

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:27 units

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

Remark

The way to solve the shaded region is to find the area of the square first and subtract the area of the circle from it.

Area of the square

Area = s^2

s = 12

Area of the square = 12 * 12

Area of the square = 144 yd^2

Area of the circle = pi * r^2

r = d/2

d is actually the same as the side length of the square

r = 12/2

r = 6

pi = 3.14

Area of the circle = pi * 6^2

Area of the circle = 3.14 * 36

Area of the circle = 113.04

Area of the shaded region

Area of shaded region = area of the square - area of circle

Area of shaded region = 144 - 113.04

Answer: Area of the shaded region 30.96

Answer: $6812.3

Step-by-step explanation: Just solve decreasing 15% each year

Answer:

V = 420 in^3

Step-by-step explanation:

Formula

The volume of a 3 dimensional box is V = L * w * h

Givens

L = 10 in

w = 6 in

h = 7 in

V  = ?

Solution

Substitute the givens into the formula

V = 10 * 6 * 7          Combine

V = 420 in^3

Answer:

C. Chloe forgot to arrange the numbers in ascending order. The median is 44.

Step-by-step explanation:

We arrange the 9 numbers of the data from the least to the greatest

Then we spot the middle number (5th number) which is 44:

34 < 37 < 38 < 42 < 44 < 51 < 55 < 56 < 57

Answer:18

Step-by-step explanation: pretty much 6 plus 6 plus 6 you add six 3 times.

solution

5(x+3)-3x=55

Answer:

the answer is acute according to this triangle calculator

Answer:

[tex]5x^4+5x^3+3x^2-4[/tex]

Answer:

at least 10 visits

Step-by-step explanation:

Given:

75 rewards points for signing up

10.5 points for each visit

Total Number of Points are :

75 + 10.5 · number of visits he makes

How many visits must Tyler make to earn a free movie ticket?

75 + 10.5 · x  ≥ 180 points for a free movie ticket

Where, x is how many visits must Tyler make to earn a free movie ticket

       10.5 · x  ≥ 180 -75

                x  ≥ 105/ 10.5

                 x ≥ 10

Since the number of visits to reach 180 points is 10 then Tyler has to visit the movie theater 10 times or more.

Check our answer:

75 + 10.5 · 10 = 180 will earn him a free movie ticket

Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

A

tyler has a points card for a movie theater.

he receives 75 rewards points just for signing up.

• he earns 10.5 points for each visit to the movie theater.

he needs 180 points for a free movie ticket.

.

a

how many visits must tyler make to earn a free movie ticket?

Hey there!

4 * 7p - 10p

= 4(7p - 10p)

= 4(7p) + 4(-10p)

= 28p - 40p

= -12p

Therefore, your answer is: -12p

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

Answer:

468 m²

Step-by-step explanation:

Given:

→ Base = 26 m

→ Height = 18 m

Formula:

[tex]\text{Area of parallelogram: Base} \times \text{Height}[/tex]

To determine the area of the parallelogram, we need to substitute the base and the height in the formula.

Substitute the measures in the formula:

[tex]\implies \text{Area of parallelogram: Base} \times \text{Height}[/tex]

[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]

Evaluate the area of the parallelogram:

[tex]\implies \text{Area of parallelogram} = 26 \times 18[/tex]

[tex]\implies \text{Area of parallelogram}= \bold{468 \ \text{m}^{2}}[/tex]

Answer:

468 m²

Step-by-step explanation:

Given,

Base ( b ) = 26 m

Height ( h ) = 18 m

To find : The area of parallelogram

Formula : -

Area of parallelogram = bh

Area of paralleogram

= 26 x 18

= 468 m²

Therefore,

the area of the parallelogram is 468 m².

The amount saved due to early payment is $19,242

Data;

The total payment for the whole term is the equal to the product of monthly payment and the number of payment as calculated above.

The total amount in cash in case of prepayment is

[tex]total amount in case of prepayment = monthly payment * number completed + balance + penalty[/tex]

The number of payment completed = 12

Balance = $37,546.36

Penalty for prepayment = 300

The amount of prepayment is

[tex]528.60 * 12 + 37546.36 + 300 = 44,189.56[/tex]

The amount saved due to early payment is

[tex]63432 - 44189.56 = 19,242[/tex]

The amount saved due to early payment is $19,242

Learn more on payment plans here;

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Answer:

that's not correct.

17.43/100= 0.1743

174.3×0.01=1.743

Answer:

27

Step-by-step explanation:

1 + (5)(2) + (1 + 3)^2

1 + 10 + (1 + 3)^2

11 + (1+3)^2

11+4^2

11+16

27

Answer:

95

Step-by-step explanation:

So if you wanted to figure the average of the 3 tests, you would add 91+85+89 to get 265 & then divide by 3 tests  to get an average of 88.

So that means for four tests, 91+85+89+4th test = answer that divided by 4 tests will equal 90.  90 x 4 = 360.  Then 360 -265 (sum for 1st 3 tests) = 95

Answer:

135ft^2

Step-by-step explanation:

area of trapzoid= (a+b)/(2)×h

area of traingle= 1/2(b)(h)

area of the shaded region equals (a+b)/(2)×h-1/2(b)(h)

so

(8+18)/(2)×15-(1/2)(8)(15)

=135ft^2

Answer:

j < x/7

Step-by-step explanation:

Answer:

The value of x = 110°

Step-by-step explanation:

=> x° + 90° + 90° + 70° = 360 ° { sum of angles of a quadrilateral is 360 }

=> x + 250° = 360°

=> x = 360 - 250

=> x = 110°

Answer:

it's 11m+5m

Step-by-step explanation:

Rearrange term

6m+5(n+m)

6m+5(m+n)

Distribute

6m+5m+5n

Combine like terms

6m+5m+5n

=11m+5n

Answer:

9

24

27

30

Step-by-step explanation:

f(2) = 3(2) + 3 = 9

f(7) = 3(7) + 3 = 24

f(8) = 3(8) + 3 = 27

f(9) = 3(9) +3 = 30

Hope this helps!

Answer:

x puls four is equal to

Step-by-step explanation:

Answer:

it says percentage increase so you do...

Step-by-step explanation:

106 divide by 100=1.06

then the answer multiply by 1.50=1.59