Find the area of the circle given the radius. Round to the
nearest hundredth when necessary.
r = 16.5 in

Answer:

Step-by-step explanation:

Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.

So Y = X * 1.4

Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.

So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.

Therefore, C = .84 * X.

So we can see C is 84% of X, or 16% less than X.

Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .

      Final result in terms of 'x' will be → 0.75x

Let the number = x

As per first statement → "A number 'x' is decreased by 40%"

Algebraic expression for the statement → (x - 40% of x)

                                                                  → (x - 0.4x)

                                                                  → 0.6x

Second statement → "Then increased by 25%"

Algebraic expression for the statement → (0.6x + 25% of 0.6x)

                                                                  → [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]

                                                                  → [tex](0.6x+0.15x)[/tex]

                                                                  → [tex]0.75x[/tex]

           Therefore, final result in terms of x will be (0.75x).

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Answer:

4+8/2*(6-3)

4 + 8/2* 3

4+4*3

4+12

16

Step-by-step explanation:

Answer:

d:-12,0

Step-by-step explanation:

Answer: The answer is 28. Hope this helps:)

Answer:

-1

hope this helps

plz mark brainleist

Answer:

x = 0

Step-by-step explanation:

9(2x+1) < 9x - 18

Distribute the 9 through

18x + 9 < 9x - 18

Get like terms on the same sides

9x < -27

Divide both sides by the value in front of the x

x < -3

Hope this helps! :)

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

Answer:

1.75x+5<2.5x+3

Step-by-step explanation:

Answer:

(12 + 3x)x

Step-by-step explanation:

(12 + 3)x = 12x + 3x = 15x

(12 + 3x)x = 12x + 3x²

15x

12x + 3x = 15x

They all equal 15x except for (12 + 3x)x

Answer:

Thus, the rational number 93/77 should be added to -7/11 so as to get 4/7.

Answer:

After 10 days rocky and robin will log the same number of met miles which will be 60 miles.

Step-by-step explanation:

This is because by using y=mx+b and graphing the two equations you can find their intersection which is (10,60).

Answer:

right

Step-by-step explanation:

a number line goer -3 -2 -1 0 and 0 isnt -1 or any (bigger? smaller?) negative number

Answer:

shade the bottom part.

Step-by-step explanation:

I'm pretty sure because if y is less than -x -1 , then everything on the bottom is less than that? Sorry if it is not correct.

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

Answer:

Leah has 80 less paychecks than the weekly person.

Step-by-step explanation:

Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.

Answer: 60

Step-by-step explanation:

Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.

8x+9+6x+6=141                  [combine like terms]

14x+15=141                          [subtract both sides by 15]

14x=126                               [divide both sides by 14]

x=9

Now that we have found the value of x, we can plug that into BC.

6(9)+6                                 [multiply]

54+6                                   [add]

60

Now, we know the length of BC is 60.

Answer:

60

Step-by-step explanation:

Answer:

Area = 10 in

Step-by-step explanation:

Base=4 in , Height=2 in , Other Side = 3 in.

Height x Other Side + Base

2 x 3 + 4

2 x 3 = 6 + 4 = 10

Answer:

z³ = 64

z³=4³

since power is equal, base will be same

z=4

Step-by-step explanation:

The value of z in the expression is,

⇒ z = 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ z³ = 64

Now, We can simplify the expression as;

⇒ z³ = 64

Take cube root both side,

⇒ z = ∛64

⇒ z = ∛4³

⇒ z = 4

Thus, The value of z in the expression is,

⇒ z = 4

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Answer:

63 miles

Step-by-step explanation:

Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?

2 track practices = 18 miles

7 track practices = y miles

Cross Multiply

2 track practices × y miles = 18 miles × 7 track practices

y miles = 18 miles × 7 track practices/ 2 track practices

y miles = 63 miles.

Therefore, Bonnie will have run 63 miles after 7 track practices

Answer:

The answer is 4

Step-by-step explanation:

I hope it helps I had to do the math

Answer:

y(t) = 460(0.94)^t

Step-by-step explanation:

Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.

Plug in the values we know:

y(t) = 460(0.94)^t will be the exponential model

The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Since

The initial value is 460, and there is a 6% decrease each period.

So here we use the basic exponential decay form i.e.

[tex]Y = a(1 - b)^x,[/tex]

here a is the starting amount

y is interest

b is the growth/decay rate,

and x is amount of time/periods.

So,

[tex]y(t) = 460(0.94)^t[/tex]

hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

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Answer:

Triangle A

Step-by-step explanation:

Answer:

a

a

Step-by-step explanation:

a

Answer:

60%

Step-by-step explanation:

18 / 30 = 0.6, which is 60%

Answer:

60% are boys and 40 % are girls

Step-by-step explanation:

Answer: 0.533 :> :v

Step-by-step explanation:

Answer:

[tex]-1^{3}[/tex]

Step-by-step explanation:

Answer:

Simplified -1^3, Solution: -1

Step-by-step explanation:

Since you have to multiply -1*-1*-1 then the answer would be -1. Simply because when simplifying the equation -1*-1 is 1 (remember that when multiplying two negatives it adds to a positive). Then you multiply 1*-1 which comes out to be -1 as the answer. I hope this helps, if you need further explanation please comment below.

Answer:

C

Step-by-step explanation:

Answer:

C: $146.43

Step-by-step explanation:

I just did the test. NOTICE: Edge loves moving stuff around so make sure its actually C... Look for $146.43

Answer:

B: $2.50

Step-by-step explanation:

Step 1: form an equation

126 = 12(8 + x)

Step 2: isolate the x

126/12 = 8 + x

126/12 - 8 = x

Step 3: solve

10.5 - 8 = x

2.5 = x = raise per hour

Answer: it is 12 and 4.50

Step-by-step explanation:

Answer:

Hello hope your having a good day

Step-by-step explanation:

12 and 4.50

Answer:

15.81

Step-by-step explanation:

Please mark brainliest if this has helped. Have a good day and goodluck with your work!

Answer:

15.81

Step-by-step explanation:

The full answer is 15.8113883 but since you want it rounded to two decimal places the second 1 in 15.8113883 makes the number round to 15.81

Answer:

x²-√3 x+1/2

Step-by-step explanation:

(√3-1)/2 and (√3+1)/2

the quadratic equation:

x²-(sum of the root)x +product of the roots

x²-((√3-1)/2 + (√3+1)/2)x+((√3-1)/2) )(√3+1)/2)

x²-(2√3/2)x+ (3-1)/4

x²-√3 x+1/2

x²-x√3 +1/2